Bibliography of Nonparametric Statistics [Reprint 2014 ed.] 9780674422339, 9780674422308

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Bibliography of Nonparametric

Statistics

Bibliography of Nonparametric Statistics

I. Richard Savage

HARVARD UNIVERSITY PRESS Cambridge, Massachusetts 1962

© Copyright 1962 by the President and Fellows of Harvard College All rights reserved

Distributed in Great Britain by Oxford University Press, London

Printed in the United States of America Library of Congress Catalog Card Number 62-11403

Acknowledgments Many individuals and institutions have contributed their energies and resources to the preparation of this bibliography. The original bibliography was prepared under the encouragement of Churchill Eisenhart at the National Bureau of Standards (1951-1954), and it saw the public light through the careful and kindly skills of W. Allen Wallis, then the editor of the journal of the American Statistical Association. While I was at Stanford University and the Center for Advanced Study in the Behavioral Sciences the project was given the freedom and stimulus to keep growing. The administrations of Professors Albert Bowker and Ralph Tyler are to be thanked for tolerating such a diversionary project. Miss Mary Epling, a graduate student at Stanford, was of particular help at this time (1954— 1957). At the University of Minnesota the project received direct financial aid from the Graduate School (1957-1962); this aid came at a vital time, and I am sincerely grateful for it. Most of the lists of users were prepared with this support; the work was conducted by Mrs. Elizabeth Yen, Wayne Muller, and Sam Niefeld. The final draft of the manuscript, the finishing of the lists of users, and the literature search were completed while I was visiting Harvard University (1960-61). In particular this work has been supported by the Harvard University Department of Statistics from grants of the National Science Foundation (NSF G-13040) and the Ford Foundation, and by the Division of Research of the Harvard Graduate School of Business Administration.

Contents Introduction

1

1. Scholarship and Redundancy

2

2.

3

Completeness

3. Detailed Description of Entries

4

4. Literature Searched

12

5.

Abbreviations

17

6.

Guide to Volumes and Years of Statistical Journals

18

Bibliography of Nonparametric Statistics Cross References for Multiple-Authored Entries

23 279

Bibliography of Ήonparametric Statistics

Introduction An effort has been made to keep the bibliography of nonparametric statistics (Savage, 1953 1 ) current, through April 1961, as well as to incorporate useful changes. T h e most important change is the use of a citation scheme. 2 This technique gives a list of all entries that cite a particular item. T h e citation lists will serve as a detailed indexing. Hence articles have not been grouped by classification. 3 T h e organization within an entry is: names of authors, followed by year of publication; title of article or book; name and volume number of journal in which an article appeared, or name of publisher and place of publication of a book; inclusive page numbers of journal articles or total number of pages of a book; special comments on language of publication; sources for errata; abstracts of the article or book; reviews; users (citations); notes (brief annotations); classification, indicated by code letters at the end of the entry. Several of these features may be missing. A date and classification are given for most entries. Entries consisting of abstracts are not dated; another entry without date is Sato's. Most entries lack a statement on language, errata, and notes. Some of the uses of the bibliography are: 1. As a handy reference for complete descriptions of items. It will faciliNames followed by dates refer to entries in the present bibliography. The application of such schemes to the scientific literature has been Eugene Garfield, "Citation indexes for science: A new dimension in through association of ideas," Science 122 (1955), 108-111. 8 Following the bibliography are cross references for multiple-authored for each author listed the name of his co-author that appeared first on the 1

2

1

stimulated by documentation entries, giving original entry.

NONPARAMETRIC STATISTICS

tate the preparation of manuscripts and the locating of material in libraries. It will refresh memory when only vague recall exists of a particular publication. 2. For teaching courses in applied statistics. Thus, if one is interested in bringing out how rank-correlation techniques are applied, one can look for those users given classification O of a particular entry involving rank correlation. For Kendall (1955b) the users have been separated into several lists, including a list of 0 . 3. In making applications of statistical techniques. Thus, if one had decided to use the Mosteller (1948) slippage test, looking at the users of that entry would locate the subsequent tables, distribution theory, inference theory, and examples of how this technique had been used. 4. In research in statistical theory. If one were involved in a particular field of research and wished to locate the relevant material, it would be found under the users of the basic articles in the field. Thus, if one is concerned with multisample forms of the Kolmogorov-Smirnov statistic, a rather complete bibliography could be readily developed by working from the users of Fisz (1957, 1958) and Kiefer (1959). It would be necessary to look at the bibliographies of items as located. Possibly, it would then be desirable to see the users of items found in the bibliographies, and so on. It should be realized that reviewers are users. A word of warning regarding experiments with this bibliography: there are idiosyncrasies in the preparation of the lists of users and personal decisions as to what does or does not appear in the bibliography. One should not use this document in making studies of the frequency of use of particular kinds of entries in scientific research, the distribution over time of research publications in this field, the use of nonparametric statistics in applying statistics, and the like. My interest continues and I see the beginnings of another revision. Hence, I will be gready appreciative if readers will supply me with corrections, additions, and other comments.

1. Scholarship

and

Redundancy

Although the bibliography is outlandishly large, efforts have been made to keep the size down. In many instances a single entry appeared in several forms; an example is Rao, Savage, and Sobel (1960) which was first a report and then published in printed form. Such duplications have been avoided when recognized unless there were real differences between the 2

INTRODUCTION

various forms, or substantial confusion (difficult to avoid) would have arisen under the Users entries. On the other hand, the many editions of Fisher (1950b) have seen important changes and it would have been desirable to keep these editions as separate entries. This, however, would have been a substantial task. In the later sections of these introductory notes intentional exceptional cases and inconsistencies are cited, knowledge of which will make the bibliography more useful. There are other difficulties which reflect my scholarly inadequacies. Thus, it would have been desirable to present all titles in English. However, I have not attempted translating. Translated titles were usually obtained from reviewing journals. Again, I have attempted to give full titles of journals, but I have avoided filling in abbreviations by guessing. The lists of titles in Mathematical Reviews and the International Journal of Abstracts—Statistical Theory and Method were helpful in removing abbreviations and checking for accuracy. Still, many of the foreign journal names presumably are not presented consistently and might contain duplicated or unnecessary information. Another inconsistency is the lack of a standard form for presentation of material appearing as technical reports. To offset some of these weaknesses, a substantial amount of redundancy is incorporated into the biblography. Some examples: both first and last page numbers for a paper; both volume number and date of publication; references to reviews, presumably prepared with a copy of the original in the reviewer's hands; the names of users, allowing one to check those papers to fill in details regarding the bibliographic entry. It is safe to say that nearly all of the items exist and can be obtained with diligent use of libraries and direct communication with authors. 2.

Completeness

There are basically two ways in which the bibliography can be incomplete. Either there are entries missing that readers might wish were there or an entry does not have all of the information that it should have. Since the work has been done sequentially, it has happened that an entry which did not seem relevant when first brought to my attention later entered the bibliography. Then, it is likely that the earlier users, reviews, and abstracts are not included. The completeness of my coverage of material has varied over time. The earlier literature has not been followed carefully. Fringe topics such as systematic statistics ( L ) and scaling ( M ) have received less complete coverage than topics directly arising from combinatorie, inference3

NONPARAMETRIC STATISTICS

centered, conditional procedures that everyone will agree to be nonparametric. Thus, the coverages for classes D (tolerance sets) and G (parameter problems) are quite complete but L and M and of course O (applications) are far from complete. 3. Detailed Description

of Entries

The following paragraphs explain in detail the contents of the individual entries. Names. For each entry the last name of the first author appears first, followed by his first names. When there is more than one author, the names after the first are in the natural order. Since authors do not always use the same name, some editorial work was required. The policy used is to be consistent among all entries with a particular first author. The most extended form of the author's name is used in most cases, although there are exceptions such as T. W. Anderson. Although it would be desirable to use the same form each time a name appears in full, this was not always done when a name appeared as a second author. The prefixes "van" and "von" have not been dropped but names have been alphabetized under what appears to be the first important part of the last name, for example, van Dantzig under Dantzig and van der Waerden under Waerden. However, Krishna Iyer appears under Krishna. Names beginning with "Mc" are alphabetized as if spelled "Mac." All entries in which an author appears as the first author are grouped together. Entries by this author alone are given chronologically. Remaining entries are alphabetized on the second names and others if necessary. Several entries by the same group of authors are arranged chronologically. Dates. In most cases, the date of an item is easily obtained. Exceptions are such items as Pitman (1948) which appeared in an informal manner. Journals are sometimes difficult to date, for instance, S\andinavis\ Afyuarietidskrift appears to be published a year after it is dated. In the case of books that have run through several editions, the date of the last edition that we are familiar with—in fact it is likely to be the last printing that we are familiar with—is given. A single entry might have several dates associated with it, for example, MacMahon (1915-16). When an author has more than one entry during a year, a letter is suffixed to some of his dates for that year. Irregularities occur for several reasons: (1) If an author has two entries for a year and they were found at the same time they will be suffixed "a" and "b," but if found separately one 4

DESCRIPTION OF ENTRIES

will be without suffix and the other suffixed "a." Avoiding this would cause extensive tracing in the Users. (2) Although an author now has only one entry during a particular year, it may have the suffix "a." This might arise when the author publishes a technical report during that year and then somewhat later the formal paper. In that case the technical report may not appear in a separate entry. Titles. Titles are given as completely as possible. Where possible, the titles are in English. Translations are not indicated. Titles with a main part followed by a specializing phrase are given the complete title, for example, Doornbos and Prins (1958). Usually, a separate entry is given for each title but where there are several papers with the same title appearing together in the same journal only one entry might be made, for example, van Eeden and Benard (1957). Titles of books (van der Waerden, 1957) and other items that have appeared as separate entities (Teichroew, 1955d) are italicized. Titles of articles in journals and of chapters in books are given in quotation marks. Journal or Publisher and Place. With few exceptions (see Sec. 5), the complete names of journals are given for each article. The names of journals are italicized. By giving the fullest name possible, library search time will be reduced. The full names should help the reader in recalling information. The name and location of the publishers of books are included. There is lack of consistency in reporting contract numbers and other detailed information of technical reports. Dissertations are presented with little detail. For journal articles, the volume number is given in italics, immediately following the journal name. A reason for giving the volume number is that the date follows the author's name, and hence is separated from the description. Issue numbers of journals are given only when the pagination of the journal begins with each issue, for example, Industrial Quality Control. In some cases there is a parenthetical expression between the journal name and volume number giving the geographical origin or series designation of the journal. For abstracts and reviews the date instead of the volume number follows the journal name. The redundancy of volume number did not seem necessary here because most abstracts and reviews appear in standard, regularly published journals. Page Numbers. The first and last page numbers of journal articles and the total number of pages in separate publications are indicated. If only one page number appears for a journal article, it is very likely to be a one-page 5

NONPARAMETRIC STATISTICS

article. Page numbers from separate publications are often missing. Usually only the number of the first page of a review is given. Language. Notes regarding the languages have been prepared in a casual manner. No mention of language does not imply English. When no notes are given, the language can frequently be inferred from the author's nationality, the title, or the place of publication. Most of the notes on language are taken from Mathematical Reviews. In considering translated material, the original may not be referred to, for example, Gnedenko and Kolmogorov (1954). Errata. In searching the literature, errata have been examined and noted as found relevant. However, for some journals (for example, Annals of the Institute of Statistical Mathematics) where the errata are given by page number within the journal and not by name and title, this policy has not been carried out completely. Separate errata sheets have been indicated in a few places. Those sheets have not appeared in the printed literature, but might be available from the authors. Abstracts. Abstracts are cited by journal name, year, and page number. An abstract is a summary, prepared by the author, appearing in a different place than the full report. Regular searches for abstracts were made in Annals of Mathematical Statistics, Biometrics, and Notices of the American Mathematical Society. An effort has been made to match abstracts with other forms of the entry. In entries consisting of an abstract only, the date follows the name of the abstracting journal. Reviews. Reviews are cited by journal name, year, and page number. However, review numbers were used from International Journal of Abstracts —Statistical Theory and Method and International Journal of Abstracts— on Statistical Methods in Industry (after the first year of publication). Although Mathematical Reviews started to number its reviews in 1959, these numbers were not used. A review is a commentary on an item usually prepared by someone other than the author. The search for reviews was made in Contemporary Psychology, International Journal of Abstracts—on Statistical Methods in Industry, International Journal of Abstracts—Statistical Theory and Method, Journal of the American Statistical Association, Journal of the Royal Statistical Society, Mathematical Reviews, Mathematical Tables and Other Aids to Computation, and Quality Control and Applied Statistics. 6

DESCRIPTION OF ENTRIES

Users. For each item a record has been maintained of items that referred to it. Footnotes and references for each item were examined. For example, Blom (1958) referred to Goodman (1953b) and thus under the users of Goodman (1953b) appears Blom (1958). In most entries the users are arranged chronologically. Two kinds of exceptions are made to this rule: ( 1 ) For some items, such as Cramer (1946), there were many users, most of which are not relevant to nonparametric statistics. In that case, under Users only the number of users has been noted. ( 2 ) In some entries, such as Mann and Whitney (1947), the users have first been classified, in that case by theory ( Β ) , distribution theory (AT), applications ( O ) , tables ( P ) , and other, and then arranged chronologically. If no entry is found corresponding to a listed user, the original item referred to in the user list might have been an abstract, a technical report, or an early edition of a book; thus, one should check the user's Abstracts and Notes. Additional entries, other than those occurring in references, occasionally appear under Users. When I have noticed that a relevant reference did not occur in an item, I have acted as if it did. Thus, I thought that listing Jirina (1952) as a user of Fraser (1951) would be helpful to the reader. Most of the time, in listing users, only last names have been recorded. Initials have, however, been given for such difficult cases as Pearson, David, and Bradley. Consistency in this matter was not sought. The lists of users will generally not be complete. Occasionally footnotes are missed or other clerical errors occur. Users of an item between its publication date and the time when it came to my attention have a good chance of being omitted. Notes. Commentaries in the entries have been kept to a minimum. Several standard notes have been used. ( 1 ) "Not seen" has been used in two ways: literally, when the item has never been seen by me; occasionally to indicate that, although I have seen the article, at the time lists of users were being prepared the article was not at hand. ( 2 ) "Extensive references" was used to note that in preparing the lists of users these references might not have been used. (3) "Wilcoxon one-sample test," "Kendall's tau," and the like appear as notes on articles classified as applications ( O ) to suggest the nonparametric technique used in the article. ( 4 ) A page or section number of particular interest appears in the note when the entry involves a large work or work mainly devoted to subjects not of interest here. Most of the other notes are heterogeneous in content, referring to such things as earlier forms of publication, giving a pertinent quotation from the item, or (very rarely) summarizing part of the item. 7

NONPARAMETRIC STATISTICS

Classification. The entries have been classified as in Savage (1953): A. Surveys and Discussions B. Theory C. Tchebycheff Inequalities D. Tolerance Sets E. Goodness of Fit F. Multisample Problems G. Parameter Problems H. Contingency Tables I. Randomness /. Correlation and Curve Fitting K. Comparative Studies L. Systematic Statistics M. Scaling N. Distribution Theory O. Applications P. Tables X. Miscellaneous Some time ago it was realized that this scheme lacked mnemonic value. Also, the scheme does not adapt itself to finer classifications. Instead of devising a better scheme, however, in this bibliography great reliance is placed on the Users. Thus, if one is looking for articles on a very specific topic such as multivariate tolerance limits, his search would be successful if he came across a relevant entry and followed its users. If he was not aware of any relevant entries, it is unlikely that he would have been interested in the particular topic. Other weaknesses of the classification scheme in practice have been that occasionally it has been necessary to classify an entry without seeing the original, and when others have classified entries or I have classified an entry twice, the results have not always been consistent. The classifications can serve several purposes. ( 1 ) In following up the users of a particular entry the classifications will help in decisions regarding the relevance of the users; thus, if one is looking for examples of applications of a particular technique one just checks whether or not the users are classified "O." ( 2 ) Occasionally one searches for an article with only a clue to the author's name available, say the initial letter of the last name; then in searching through those articles one need only examine the entries with the appropriate classifications. ( 3 ) In making up subbibliographies, one 8

DESCRIPTION OF ENTRIES

could start with all of those entries classified in a specified manner or a sample of those entries, following up the selected entries with the appropriate users. The following comments, a revision of those made in Savage (1953), explain the classes in the classification scheme. A. Surveys and Discussions. Entries were given this classification for several reasons. Fraser (1957) and Scheffé (1943b) are actually designed as surveys of a large portion of nonparametric inference. Godwin (1955) is a survey but of a very narrow field, namely, Tchebychefï inequalities. Finally, most current textbooks of statistics contain sections or chapters on nonparametric topics, for example, Dixon and Massey (1957) and Fraser (1958). Β. Theory. Items concerned with a specific nonparametric procedure are not classified as theory. This classification has been used for items concerned with techniques of analysis applicable to many specific nonparametric procedures and to items that are concerned with the theory of statistical inference with nonparametric methods. Thus a highly theoretical paper like Doob (1949), being concerned with a specific procedure, is not classified as theory. On the other hand, Fraser (1957), which is concerned with nonparametric theory in general, or Lehmann and Stein (1949), which is concerned with the general theory of nonparametric tests, are classified as theory. C. Tchebychefl Inequalities. Godwin (1955) is an important survey article. This field, one of the origins of nonparametric statistics, remains very active. Papers such as Birnbaum and Zuckerman (1944), although concerned with inequalities, did not appear to warrant the classification C. Even in the most straightforward classification problems there are ambiguities. D. Tolerance Sets. Section 4.3 of Fraser (1957) is a good summary of current activities in this field. This is a field where I have attempted to be complete. E. Goodness of Fit. A goodness-of-fit test has the following properties: (1) it is defined for samples from some large class of distributions, such as all continuous univariate distributions; (2) the null hypothesis is either some specified distribution or a class of distributions of which the functional form is known; (3) for all null hypotheses the test statistic used has the same distribution (at least in the limit); (4) the test is consistent. Karl Pearson's (1900) fundamental work on the χ 2 goodness-of-fit test remains a basic tool. The Kolmogorov-Smirnov tests have received consider9

NONPARAMETRIC STATISTICS

able attention, both from the applied standpoint (Goodman, 1954b) and from theoretical directions (D. G. Chapman, 1958). F. Multisample Problems. Multisample problems or multisample goodness-of-fit problems involve testing the hypothesis that several samples come from the same population. Solutions to these problems should satisfy the following conditions: (1) under the null hypothesis the test statistic is distribution-free (at least in the limit); ( 2 ) the procedure is consistent for a large class of alternatives. Again Karl Pearson ( 1900) was the forerunner in this field. Recent work on ^-sample forms of the Kolmogorov-Smirnov test have been of particular interest (Kiefer, 1959; Fisz, 1957, 1958). G. Parameter Problems. Parameter problems include estimation and testing procedures dealing with location and scale parameters. Although these problems involve parameters, they are nonparametric since (1) the parameters are defined for large classes of distributions, and (2) the proposed procedures lead to probability statements that are distribution-free. Such papers as Wilcoxon's (1945, 1947) have been of particular importance in stimulating applications and research. Analogues to the analysis of variance have been of great interest, for example, Friedman (1937), Kruskal and Wallis (1952, 1953), and Jonckheere (1954, 1954a, 1954b). H. Contingency Tables. Contingency tables are the conventional r X s tables used to cross-classify data. Techniques using contingency tables include the analysis of association and tests of goodness of fit. Many of these techniques are distribution-free, since they are based on conditional distributions given the sample marginal distributions. Because of their wide applicability, great interest has been shown in applications of and theory for contingency tables. The papers by Goodman and Kruskal (1954, 1959) have done much to help in the interpretation of these tables. Roy (1957, ch. 15) contains a wealth of information on the detailed analysis of these tables. I. Randomness. Prior to the actual analysis of data, one frequently wishes to test underlying hypotheses, for instance, whether one has a random sample. Savage (1957) pointed out that this can be done independently of other tests. Also, in time-series analysis there is a desire to test for trend or other evidence of lack of stationarity. Two interesting papers devoted to this theory are Levene (1952), and Foster and Stuart (1954). /. Correlation and Curve Fitting. These problems should be a subclass of G, since they consider analogues of parametric situations. Spearman (1904) had a fundamental influence in this field. The interest in the field 10

DESCRIPTION OF ENTRIES

continues, as evidenced by the appearance of the second edition of Kendall's book (1955b). K. Comparative Studies. Under this heading are included studies which compare the operating characteristics of several procedures under a variety of conditions. Another name for this field is "robust analysis." Several papers by Box (1954a, 1954b) are typical of this work, and Schefïé (1959, ch. 10) is a survey of procedures related to the analysis of variance. To me this is a very important field, but unfortunately it is a difficult field for research. L. Systematic Statistics. This has been a very active field of research. Most of the procedures devised are actually parametric since they use an assumption of a specified underlying distribution. They were included in the nonparametric bibliography because of their sometimes short-cut nature and their lack of "efficiency." No effort has been made to keep this part of the bibliography complete. Some of the more nonparametrically oriented papers in this field have been published by Walsh (1953, 1958b, 1959d). Note the publication of good tables of the second moments of order statistics from the normal distribution (Teichroew, 1956). M. Scaling. The scale properties of data have an important role in nonparametric discussions, for example, Siegel (1956), Senders (1958), and S. S. Stevens (1959). To date most of this work has been related to psychological-measurement problems. N. Distribution Theory. Distribution theory has been a catchall for entries in probability theory that either have been of direct use in the development of nonparametric statistics, such as Hoeffding and Robbins (1948), or might contain useful information for people working in nonparametric problems, such as Riordan (1958). O. Applications. It would be impossible and undesirable to examine the world's scientific literature for examples of applications of nonparametric methods. However, some searching seemed desirable so that one could see the impact of the theoretical research in practice, obtain examples for teaching purposes, and possibly give stimulus to research from the kinds of problems that arise in practice. Inclusion of papers under this heading varies tremendously from field to field and over the time of preparation of the manuscript. Thus, as time went on, items were included only if the methods became more refined and more details were given. On the other hand, nonparametric methods used in unusual fields might appear in the bibliography even though the method was quite elementary; for instance, Spindler (1955) has used contingency tables in psychocultural anthropology, but an elementary application of the contingency tables in Annals of Eugenics 11

NONPARAMETRIC STATISTICS w o u l d not appear in the bibliography. A particularly interesting use of the Wilcoxon procedures can be seen in United States Senate ( 1 9 5 3 ) . P. Tables.

A n important collection of tables of standard procedures was

prepared by Siegel ( 1 9 5 6 ) ; van der W a e r d e n and Nievergelt ( 1 9 5 6 ) give a n extensive tabulation for a particular procedure. X. Miscellaneous.

Surprisingly to me, I have not been forced to place

m a n y papers in this catchall class. A long series of papers on the combination of independent tests of significance has this classification

(Fisher,

1950b; Wallis, 1942). Such g e m s as B u r d i c k ( 1 9 5 6 ) have also f o u n d their way here. 4.

Literature

Searched

T h e preparation of this bibliography has been a side j o b a n d has seldom involved systematic searching of the literature. T h e method has been to keep a nonparametric eye open for all literature that comes across m y desk. This

does m e a n systematic following of the Annals

Statistics

a n d Mathematical

Reviews

of

Mathematical

but of few other journals. Records

were kept of the journals examined and f r o m time to time an effort was m a d e to complete the examination of certain series. Occasionally, a particular journal would be started in a systematic m a n n e r ( C a n c e r

Research)

and then f o u n d to contain so little of interest that the w o r k was stopped. T h e following list indicates the journals that were examined, the approximate issues seen, and for some a r e m a r k on why examination was terminated. Acta Mathematica,

1957-1959 a n d a few other issues.

American

Heart

American

Journal

of Mathematics

( B a l t i m o r e ) , 1956-1959.

American

Journal

of Physiology,

1957; insufficient material.

American

Mathematical

Monthly,

American

Psychologist,

1957 and 1960; insufficient material.

American

Sociological

Review,

American

Statistician,

The,

Annales Annals

Journal,

de l'Institut of Human

1957; insufficient material.

Henri Genetics

1954-1957, 1959-1960, a n d others.

1950, 1955-1960.

1947-1960, complete. Poincaré,

1956 a n d isolated issues.

(formerly Annals

of Eugenics),

1956-1959 and

isolated issues. Annals

of the Institute

of Statistical

Mathematics

(Tokyo),

1949-1960,

almost complete. Annals

of Mathematical

Statistics,

1953-1960; examined systematically since 12

LITERATURE SEARCHED

the first edition of this bibliography; earlier issues were examined almost systematically for the first edition. Annals of Mathematics (Princeton), 1960. Applied Scientific Research, 1951-1953, 1956-1958; insufficient material. Applied Statistics, 1952-1960; complete. Australian journal of Agricultural Research, 1957-1958; insufficient material. Bacteriological Review, 1958; insufficient material. Bacteriology, 1958; insufficient material. Biochemistry Journal, 1958; nothing. Biometrics, 1953-1960; presumably the earlier issues were searched for the first edition of the bibliography. Biometrica, 1953-1960; see note following Annals of Mathematical Statistics. British journal of Sociology, The, 1958; insufficient material. British journal of Statistical Psychology, 1947-1960; complete. Bulletin of the American Mathematical Society, 1959-1960 and isolated issues. Bulletin de l'Institut International de Statistique, isolated issues, particularly volumes 36 and 37. Bulletin des Sciences Mathématiques, 1957-1958. Bulletin de la Société Mathématique de France (Paris), 1955-1959. Canadian Journal of Mathematics, 1954, 1956, 1958-1959. Canadian journal of Zoology, 1957-1958. Cancer Research, 1957-1958, part of 1959; insufficient material. Colloquium Mathematicum, 1948-1958. Communications on Pure and Applied Mathematics, 1960. Comptes Rendus Hebdomadaires des Séances de l'Académie des Sciences (Paris); isolated issues, no systematic search. Contemporary Psychology, 1956-1960; complete. Ou\e Mathematical Journal, 1946, 1948-1949, 1955, 1957-1960. Ecology, 1954-1958. Econometrica, 1945-1960. Economica, 1953-1958; insufficient material. Economic Journal, The, 1936-1959; insufficient material, done by a research assistant. Estadística, 1953-1956. Eugenics Review, The, 1957-1958. Food Technology, isolated issues in 1957-1959. Human Biology, 1948-1950, 1958. industrial and Engineering Chemistry, 1958. 13

NONPARAMETRIC STATISTICS

Industrial Quality Control, 1944-1956, parts of 1957-1959, and 1960. Information and Control, 1957-1958. International Journal of Abstracts on Statistical Methods in Industry, 1954— 1959, begun in 1954. International journal of Abstracts—Statistical Theory and Method, journal begun in 1959 and complete to date. Israel Research Council Bulletin, parts of 1953-1955. Journal of Abnormal and Social Psychology, 1955, 1957-1958. Journal of Agricultural Science, 1958; insufficient material. Journal of the American Leather Chemists Association, 1958; insufficient material. Journal of the American Statistical Association, 1953-1960 and isolated earlier issues while preparing the first edition. Journal of Animal Science, 1958; insufficient material. Journal of the Association for Computing Machinery, 1958; insufficient material. Journal of Dairy Research, 1958; insufficient material. Journal of Economic Entomology, 1958; insufficient material. Journal of Educational Psychology, 1957. Journal of Experimental Biology, 1958. Journal of Experimental Education, 1957-1958. Journal of Experimental Psychology, 1951-1959, and isolated issues; the richest source of applications but not in great detail. Journal of Experimental Zoology, isolated issues in 1957-1958; insufficient material. Journal of Farm Economics, 1936-1937, 1957-1958; insufficient material. Journal of General Physiology, 1958; insufficient material. Journal of Hygiene, 1953. Journal of the Indian Society of Agricultural Statistics, 1953-1957. Journal of the London Mathematical Society, 1953, 1958-1959. Journal of the Madras University (B), 1959. Journal of Mathematical Analysis and Applications, 1960 (1, 2), begun in 1960. Journal of the Mathematical Society of Japan, 1949-1958, begun in 1949; insufficient material. Journal de Mathématiques Pures et Appliqués, (2), 1957-1958. Journal of the Optical Society of America, 1957 (1, 2, 3); insufficient material. Journal of Political Economy, most issues between 1937 and 1953; insufficient material, done by a research assistant. 14

LITERATURE SEARCHED

Journal and Proceedings of the Royal Society of New South Wales, 1941— 1942, 1947-1949, 1957; insufficient material. Journal für die reine and angewandte Mathematik, 1954-1958. Journal of Research and Development, isolated issues in 1957-1959. Journal of Research of the National Bureau of Standards, 1958. Journal of the Royal Anthropological Institute of Great Britain and Ireland, 1958. Journal of the Royal Statistical Society (A), 1954-1960 and isolated issues in the preparation of the first edition. Journal of the Royal Statistical Society ( B ) , 1948-1949, 1954-1960 and moderately systematic search in the preparation of the first edition of the bibliography. Journal of the Society for Industrial and Applied Mathematics, 1959 (1, 2, 3)· Journal de la Société de Statistique de Paris, 1925, 1942, 1946, 1956. Journal of Symbolic Logic, 1936-1939; insufficient material. Journal of Wild Life Management, 1956-1958. KontnkJij\e Nederlandse Akademie van Wetenschappen, Proceedings (A) (Indagationes Mathematical), 1955-1960 and isolated issues. Koninl{lij\e Nederlandse Akademie van Wetenschappen, Proceedings (B), 1956-1958; insufficient material. Management Science, 1959-1960. Mathematical Gazette, 1957-1958. Mathematical Reviews, 1953-1960, 1961 (1, 2), and systematically searched in the preparation of the first edition of the bibliography. Mathematica Scandinavia, 1953-1954, 1957-1958. Mathematics of Computation (formerly Mathematical Tables and Other Aids to Computation), 1950-1951, 1957-1960, 1961 (1) and probably most other issues. Mathematics Magazine, 1958 and isolated issues in 1957 and 1960. Mathematics Teacher, 1958. Mathematica (London), 1960 (2). Mathematische Annalen, 1951-1954, 1957-1959, 1960 (1, 4, 5), 1961 (1, 2). Mathematische Nachrichten, 1954, 1957-1959. Metron (International Review of Statistics), 1958-1959. Metrica (until 1958 Mitteilungsblatt für mathematische Statistiì(), 19581960. Nagoya Mathematical Journal (Nagoya University), 1945-1960; complete; insufficient material. Naval Research Logistics Quarterly, 1959-1960 and isolated issues. 15

NONPARAMETRIC STATISTICS

New England Journal of Medicine, 1958; nothing. Notices of the American Mathematical Society, 1959-1960, 1961 (1) and isolated issues. Nucleonics, 1958 (1, 2 ) ; insufficient material. Nursing Research, 1958 (1, 2, 3). Operations Research, 1959-1960. Osa\a Mathematical Journal, 1949-1958, begun in 1949; insufficient material. Oxford Economic Papers, 1957. Pacific Journal of Mathematics, 1959 (3, 4), 1960. Parasitology, 1958 (1, 2, 3, 4). Pediatrics, 1958 (7-12). Pharmacological Reviews, 1958. Philosophical Magazine, 1948, 1958 (1, 2, 3), 1960 (1, 2 ) ; insufficient material. Philosophical Transactions of the Royal Society of London ( A ) , 1958 and parts of 1957 and 1959. Plant Physiology, 1958; insufficient material. Proceedings of the American Mathematical Society, 1956-1960 and isolated issues. Proceedings of the Cambridge Philosophical Society, 1951-1952, 1956-1958, and isolated issues. Proceedings of the Glasgow Mathematical Association, 1952-1958. Proceedings of the Indian Academy of Sciences ( A ) , 1958. Proceedings of the Institute of Statistical Mathematics, 1953-1960, nearly complete. Proceedings of the National Academy of Sciences (U.S.A.), isolated issues. Proceedings of the Physical Society ( A ) , 1958; nothing. Proceedings of the Royal Society of Edinburgh ( A ) , last half of 1957. Proceedings of the Royal Society of London ( A ) , 1958 and isolated issues. Psychological Bulletin, 1949, 1953-1958 and isolated issues in 1959-1960. Psychological Reviews, 1953-1955 and isolated issues. Psychometri\a, 1939, 1951-1960 and presumably almost complete searching of earlier issues in the preparation of the first edition. Public Opinion Quarterly, 1954-1960; not as much material as one would expect. Publication de l'Institut de Statistique de l'Université de Paris, 1958 (2, 3, 4), 1959 (1, 2, 4), 1960 (1, 2). Quality Control and Applied Statistics (Interscience Abstracts), 1956-1960, complete. 16

ABBREVIATIONS

Quarterly Journal of Mathematics (Oxford Series), 1957-1959, 1960 (1, 3). Reports of Statistical Application Research, Union of Japanese Scientists and Engineers, 1951-1960 with a few issues missing. Review of Economic Studies, 1939-1957; insufficient material, done by research assistant. Review of Economics and Statistics, 1940-1950, 1955-1958; nothing, done by a research assistant. Revue de l'Institut International de Statistique, 1958-1959. San\hyä, 1953-1960 and probably systematic searching of earlier issues for the first edition. Scripta Mathematica, 1948-1949, 1952, 1959. SIAM Review, 1959. S\andinavis\ A\tuarietids\rift, 1941-1942, 1953-1959 and a moderately systematic search of earlier volumes during the preparation of the first edition of this bibliography. Technometrics, 1959-1960, complete. Teoriya Veroyatnosteï i e'é Primeneniya {Probability Theory and Applications), 1959 (1, 2, 3). Tohoku Mathematical Journal (Tohoku University), 1956-1957. Trabajos de Estadística (Madrid), 1957-1960 with 1959 ( 3 ) missing. Transactions of the American Mathematical Society, isolated issues. Virginia Journal of Science (N.S.), 1952 (1, 2, 3, 4 ) . Yokohama Mathematical Journal (Yokohama Municipal University), 19531957. From the foregoing list the reader should be able to grasp the variety of material as well as amounts of literature that have been examined. The reviewing journals, Mathematical Reviews and International Journal of Abstracts—Statistical Theory and Method, with their broader coverages, particularly in languages other than English, give the bibliography better coverage than the list would indicate. 5.

Abbreviations

The following abbreviations of journal names are used : Ann. Math. Statist. Annals of Mathematical Statistics Bull. Amer. Math. Soc. Bulletin of the American Mathematical Society Comptes Rendus (Paris) Comptes Rendus Hebdomadaires des Séances de l'Académie des Sciences (Paris) 17

NONPARAMETRIC STATISTICS IJA IJA-1 J. Amer. Statist.

Assoc.

J. Roy. Statist. Soc. MR Math. Tables Aids Comput. OCAS

6.

Guide to Volumes

international Journal of Abstracts—Statistical Theory and Method International Journal of Abstracts on Statistical Methods in Industry Journal of the American Statistical Association Journal of the Royal Statistical Society Mathematical Reviews Mathematical Tables and Other Aids to Computation Quality Control and Applied Statistics (Interscience Abstracts)

and Years of Frequently

Used Statistical

Journals

The following table, adapted from one prepared by Frank Haight (1961), gives the volume numbers of journals by the year the journal is dated. His table was used in a very few instances as a source of entries which were otherwise unobtainable. In many cases, the "numbers" comprising a volume appear in different years. This is indicated in the table by listing the volume number under more than one year. Specific notes amplify the table. This table helps in checking the accuracy of an entry through the redundancy in volume and year; it also helps in library work.

18

GUIDE TO VOLUMES AND YEARS OF STATISTICAL JOURNALS

Year 1916 1917 1918 1919 1920 1921 1922 1923 1924 1925 1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936 1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952 1953 1954 1955 1956 1957 1958 1959 1960 1961

Ann. Human Genetics°

Ann. Inst. Statist. Math.

Ann. Math. Statist.

Appi. Statist.

Biometrics

1 1 2 3 4 4 5 5 6 6 7 7-8 8 9 10 11 11 12 12 12 13 13-14 14 14-15 15 15-16 16-17 17-18 18-19 19-20 20-21 21-22 22-23 23

1 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11

"Volumes 1-18 titled Annals of

I 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 Eugenics.

19

1 2 3 4 5 6 7 8 9

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17

Biometrica 11 11 12 12 13 13 14 14-15 16 17 18 19 20 A, Β 21 22 22-23 24 25 26 27 28 29 29-30 30-31 31 32 32 33 33 33 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47

GUIDE TO VOLUMES AND YEARS OF STATISTICAL JOURNALS

Year 1916 1917 1918 1919 1920 1921 1922 1923 1924 1925 1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936 1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952 1953 1954 1955 1956 1957 1958 1959 1960 1961

Econometrica

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29

Ind. Quality Control

1 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 12-13 13-14 14-15 15-16 16-17 17

/.

Amer. Statist. Assoc. 15 15 16 16 17 17 18 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56

/. Indian Soc. Agr. Statist.

1 2 2 3 4 5 6 7 8 9 10 11

/. Roy. Statist. Soc. (A) 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124

/. Roy. Statist. Soc. (B)"

1 2 3 4 5 6 7 7 — — — —

8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23

b Title varies: 1934-1937, Journal of the Royal Statistical Society, Supplement; 1948, Journal of the Royal Statistical Society, Series B; publication suspended 1942-1945.

20

GUIDE TO VOLUMES AND YEARS OF STATISTICAL JOURNALS Proc. Cambridge Phil. Soc. 18-19 19 19 19 20 20 21 21-22 22 22-23 23 23 24 25 26 27-28 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55

Math. Comput."

Proc. Inst. Statist. Math,

Year MR Metrica' Metron' 1916 1917 1918 1919 1920 1 1921 1 1922 2 2-3 1923 1924 3-4 4-5 1925 1926 6 1927 7 1928 7 1929 8 1930 8 9 1931 1932 9-10 1933 10-11 1934 11-12 1935 12 12 1936 1937 13 13 1938 1939 13 1 14 1940 1941 2 14 — 1942 3 — 4 1943 1 — 1944 5 1 — 1945 6 1 (12) — 1946 7 2 — 1947 8 2 (20) — 1948 9 3 10 1949 3 (28) 1 15 — 1950 11 4 (32) 2 1951 12 3 16 5 (36) 13 4 1952 16 6 (40) 14 7 (44) 5 17 1953 1 15 1954 8 (48) 6 17 1-2 1955 16 7 17 2-3 9 (52) 1956 17 10 (56) 8 18 3-4 1957 18 11 (60) 9 18 5 19 1 1958 12 (64) 19 5-6 2 1959 20 13 (68) 19 1960 21 14 (72) 3 8 22 4 1961 c Title varies: Vol. 1, nos. 1, 2, 3, Mathematical Tables and Aids to Computation; Vol. 1, no. 4-Vol. 13, Mathematical Tables and Other Aids to Computation; Vol. 14- , Mathematics of Computation. Parentheses indicate last issue in volume. " Volumes 1-9 published as Mitteilungsblatt für Mathematische Statistimerged with Statistiche Vierteljahresschrift to form Metrica in 1958. * Of subtitles in five languages, the first is Revista Internazionale di Statistica.

21

GUIDE T O VOLUMES A N D YEARS OF STATISTICAL JOURNALS

Year 1916 1917 1918 1919 1920 1921 1922 1923 1924 1925 1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936 1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952 1953 1954 1955 1956 1957 1958 1959 1960 1961

Rept. Un. Jap. Engs.

1 1-2 2-3 3 3-4 4 4-5 5 6 7

Rev. Inst. intern. Statist.

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27

San\hyâ

S\and. Aktuar.

1 1 2 2 3 3-4 4 4-5 5 6 6 6 7 7-8 8 8-9 9 10 11 12 12-13 13-14 14-15-16 16-17 17-18 19-20 21 22

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43

Statist. Neerlandica

1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

Trabajos Estadlst.

1 2 3 4 5 6 7 8 9 10 11

' Reports of Statistical Application Research, Union of Japanese Scientists and (JUSE).

22

Engineers

Bibliography of Nonparametric Statistics Abelson, Robert M. (1953), A Ranging Experiment with Paired Comparisons and a Factorial Design, M.S. thesis, Virginia Polytechnic Institute, Blacksburg. Users: Bradley and Somerville (1953), Abelson and Bradley (1954). Note: Not seen. M Abelson, Robert M., and Ralph Allan Bradley (1954), "A 2 X 2 factorial with paired comparisons," Biometrics 10, 487-502. Abstracts: Biometrics (1954) 303-304, Ann. Math. Statist. (1954) 414. Review: MR (1955) 942. Users: R. A. Bradley (1954b, 1955a), Bradley and Kramer (1956), Bliss, Greenwood, and White (1956), Dykstra (1956), Moses (1956), Cusimano (1957), Starks and David (1959). G Adams, Ernest, and S. Messick (1958), "An axiomatic formulation and generalization of successive intervals scaling," Psychometrikfi 23, 355-368. AM Adams, J. K. (1955), Basic Statistical Concepts, McGraw-Hill, New York, 304. Reviews: American Sociological Review (1956) 509-510, Mathematical Gazette (1957) 148, /. Roy. Statist. Soc. ( A ) (1956) 211. User: Freund and Williams (1958). Note: Not seen. A Adams, O. S., P. M. Fitts, M. Rappaport, and M. Weinstein (1954), "Relations among some measures of pattern discriminability," Journal of Experimental Psychology 48, 81-88. O Adamson, Robert E., and Donald W. Taylor (1954), "Functional fixedness as related to elapsed time and to sets," Journal of Experimental Psychology 47, 122-126. Users: Schaeffer and Levitt (1956). Note: Kendall's r. 0 Adcock, C. J. (1960), "A note on combining probabilities," Psychometri\a 25, 303-305. X Adelman, Harvey M., and Jack L. Maatsch (1955), "Resistance to extinction as a function of the type of response elicited by frustration," Journal of Experimental Psychology 50, 61-65. User: Adelman and Maatsch (1956). 0 23

ADELMAN

Adelman, Harvey M., and Jack L. Maatsch (1956), "Learning and extinction based upon frustration, food reward, and exploratory tendency," Journal of Experimental Psychology 52, 311-315. O Adhikari, B. P., and D. D. Joshi (1956), "Distance, discrimination et résumé exhaustif," Publications de l'Institut de Statistique de l'Université de Paris 5, 57-74. Review: MR (1958) 329. Β Adler, Franz (1951), "Yates' correction and the statisticians," J. Amer. Statist. Assoc. 46, 490-501. Users: Crow (1952), Craig (1953), Mosteller (1953), Bradley (1959b). H Adler, H. H., and E. Β. Roessler (1960), Introduction to Probability and Statistics, W. H. Freedman, San Francisco, xi, 252. Note: See Chs. 11 and 13. EGH Adler, Leta McKinney (1957), "A modification of Kendall's tau for the case of arbitrary ties in both rankings," ]. Amer. Statist. Assoc. 52, 3335. Reviews: QCAS (1957) 873, MR (1958) 74. Users: Griffin (1953), Cartwright (1957), Kruskal (1958). / Aggarwal, Om P. (1955), "Some minimax invariant procedures for estimating a cumulative distribution function," Ann. Math. Statist. 26, 450463. Abstract: Ann. Math. Statist. (1954) 178. Review: MR (1956) 54. Users: Dvoretzky, Kiefer, and Wolfowitz (1956), Lehmann (1957). BE Aggarwal, Om P., and I. Guttman (1959), "Tables of the cumulative distribution functions of samples from symmetrically truncated normal distributions," Annals of the Institute of Statistical Mathematics 11, 5568. Review: I]A (1960) 366. KP Agnew, Ralph Palmer (1957), "Estimates for global central limit theories," Ann. Math. Statist. 28, 26-42. Review: MR (1957) 832. CN Aigner, A. (1956), "Anordnungen mit der Rangkorrelation Null," Archiv der Mathematik 7, 346-348 AJ Aitken, A. C., and H. T. Gonin (1935), "On four-fold sampling with and without replacement," Proceedings of the Royal Society of Edinburgh 55, 114-125. User: Lancaster (1953). HN Allison, V. Α., and C. D. Bates (1944), The Basis of the C.S.M. Test-Charts and Methods of Calculation, (British) Ministry of Supply Advisory Service on Statistical Method and Quality Control. Technical Report No. Q.C. /R/17, 5 sheets. HP Alper, Thelma G. (1957), "Predicting the direction of selective recall: its relation to ego strength and Ν achievement," Journal of Abnormal and Social Psychology 55, 149-165. Note: Wilcoxon two-sample. 0 Alper, Thelma G., Howard T. Blane, and Barbara K. Abrams (1955), "Reactions of middle and lower class children to finger paints as a func24

ANDERSON

tion of class differences in child-training practices," Journal of Abnormal and Social Psychology 51, 439-448. Note: Fisher's exact test. O Amato, Vittorio (1952-53), "Sulla determinazione degli indici di cograduazione mediante gli indici de variabilità," Supplement No. 6 to Rivista Italiana di Economia Demografia e Statistica, 26-42. Users: Amato (1956), Kruskal (1958). Note: Not seen. HJ Amato, Vittorio (1953), "Una nuova expressione dell' indice di cograduazione di Spearman," paper presented at the 28th Session of the International Statistical Congress, Rome, September 6-12, 1953, 7. User: Amato (1954). / Amato, Vittorio (1954), "Un criterio per la determinazione di indici di cograduazione tra serie statistiche con ripetizione," Statistica (Italy) 14, 54-66. Users: Amato (1956), Kruskal (1958). / Amato, Vittorio (1954a), "Sulla distribuzione dell' indice di cograduazione del Gini," Statistica (Italy) 14, 505-519. User: Amato (1956). JNP Amato, Vittorio (1955), "Sulla misura della concordanza tra m graduatorie," Statistica (Italy) 15, 325-344. G}Ν Amato, Vittorio (1956), "On the distribution of Gini's G coefficient of rank correlation in rankings containing ties," Metron 18, 83-106. Review: MR (1958) 1205. JN Andersen, Erik Sparre (1949), "On the number of positive sums of random variables," S\andinavis\ A\tuarietids\rift 32, 27-36. Review: MR (1950) 256. Users: Chung and Feller (1949), Darling (1951), Andersen (1953). Ν Andersen, Erik Sparre (1953), "On the sums of symmetrically dependent random variables," S\andinavis\ A\tuarietids\rift 36, 123-138. Review: MR (1954) 634. User: Chernoff and Teicher (1958). Ν Andersen, J. (1957), "Studies in Danish hare-populations. I. Population fluctuations," Danish Review of Game Biology 3 (2), 85-131. Note: Runs above and below the median. O Anderson, Oskar Ν. (1935), Einführung in die Mathematische Statisti Julius Springer, Vienna, v, 314. Users: Pitman (1937a), K. R. Nair (1940b), O. Anderson (1955). Note: See pp. 95-105, 187-193, 243-247. CEP Anderson, Oskar Ν. (1953a), "Ein exakter nicht-parametrischer Test der sogen. Null-Hypothese im Falle von Autokorrelation und Korrelation," paper presented at the 28th Session of the International Statistical Congress, Rome, September 6-12, 1953, 13. German; English summary. I Anderson, Oskar Ν. (1953b), "Moderne Methoden der statistischen Kausalforschung in den Sozialwissenschaften," Allgemeines Statisches Archiv 37, 289-300. O 25

ANDERSON

Anderson, Oskar N. (1954), Probleme der Statistischen Methodenlehre in den Sozialwissenschaften, Second Edition, Physica-Verlag, Würzburg, 345. Review: /. Amer. Statist. Assoc. (1955) 984-986. Users: Anderson (1955, 1956), Kruskal (1958). Note: See Sees. 5.11, 6.5, and 6.6. A Anderson, Oskar N. (1955), "Eine 'nicht-parametrische' (verteilungsfreie) Ableitung der Streuung (variance) des multiplen ( R 2 x y ) und partiellen (R x y z ) Korrelationskoeffizienten unter der dieser Hypothese entsprechenden mittleren quadratischen Abweichungen (standard deviations) der Regressionskoeffizienten," Mitteilungsblatt für mathematische Statisti\ (Munich) 7, 85-112. Review: MR (1956) 278. User: Anderson (1956). G Anderson, Oskar N. (1956), "Verteilungsfreie (nicht-parametrische) Testverfahren in den Sozialwissenschaften," Allgemeines statisches Archiv (Munich) 40, 117-127. Review: MR (1957) 243. A Anderson, R. L. (1959), "Use of contingency tables in the analysis of consumer preference studies," Biometrics 15, 582-590. Review: 1JA (1960) 469. H Anderson, S. L. (1954), "A simple method of comparing the breaking load of two yarns," Journal of the Textiles Institute, Transactions 45, 472-479. User: Cox (1958c). O Anderson, T . W. (1943), "On card matching," Ann. Math. Statist. 14, 426-435. Review: MR (1944) 208. Users: Kaplansky and Riordan (1945), Krishna Iyer (1949a, 1954), Gilbert (1956), Barton (1958). Ν Anderson, T. W. (1954), Distribution of Some Integrals of Certain Stochastic Processes and Limiting Distributions of Some "Goodness of Fit" Criteria, Report No. 4, Contract AF 18 (600)442, Columbia University, New York, 43. Abstract: Ann. Math. Statist. (1954) 174. E Anderson, T. W., "A method of constructing nonparametric multivariate tests." Abstract: Ann. Math. Statist. (1955 ) 773. Β Anderson, T. W. (1960), Sampling Permutations for Nonparametric Methods, Office of Naval Research, Contract No. Nonr-266 (33), Project No. NR 042-034, Columbia University, New York. BI Anderson, T. W., and D. A. Darling (1952), "Asymptotic theory of certain 'goodness of fit' criteria based on stochastic processes," Ann. Math. Statist. 23, 193-212. Reviews: MR (1953) 298, Math. Tables Aids Comput. (1953) 88. Users: Cochran (1952), Juvancz and Lipták (1952), Ζ. W. Birnbaum (1953a), Darling (1953), Darling and Siegert (1953), Maguire, Pearson, and Wynn (1953), Rényi (1953a), Waerden (1953b), T. W. Anderson (1954), Anderson and Darling (1954), Malmquist (1954), Darling (1955), Grad and Solomon (1955), Kac, Kiefer, and Wolfowitz (1955), Oliveira (1955), Chernoff and Rubin (1956), Wegner (1956), 26

ΑΟΥΑΜΑ Oliveira (1957a), Vincze (1957), Blum (1958), Chapman (1958), An. W. Marshall (1958), J. I. Rosenblatt (1958), Schmid (1958), Capon (1959), Kiefer (1959), Bell (1960), Solomon (1960). ENP Anderson, T . W., and D. A. Darling (1954), " A test of goodness of fit," J. Amer. Statist. Assoc. 49, 765-769. Review: MR (1955) 1039. Users: Moses (1956), An. W . Marshall (1958). EP André, Désiré (1879), "Développements de séc χ et de tang x," Comptes Rendus (Paris) 88, 965-967. Users: André (1883a), Wallis and Moore (1941a). Ν André, Désiré (1883a), "Probabilité pour qu'une permutation donnée de η lettres soit une permutation alternée," Comptes Rendus (Paris) 97, 983-984. Users: Schrutka (1941), Wallis and Moore (1941a). Ν André, Désiré (1883b), "Sur le nombre des permutations de η éléments qui présentent s séquences," Comptes Rendus (Paris) 97, 1356-1358. User: Schrutka (1941). Ν Andrews, Fred C. (1954), "Asymptotic behavior of some rank tests for analysis of variance," Ann. Math. Statist. 25, 724-736. Abstract: Ann. Math. Statist. (1953) 685. Review: MR (1955) 384. Users: Mood (1954), Munter (1955), J. R. Rosenblatt (1955), E. J. Hannan (1956), Hodges and Lehmann (1956), Moses (1956), Munter (1956), Konijn (1957), Noether (1958), Bhapkar (1959), Eiteren and Noether (1959), Pfanzagl (1959), Capon (1959, 1959a), S. Sukhatme (1960). G Andrews, Fred C., "On some nonparametric C-sample tests." Abstract: Ann. Math. Statist. (1956) 867. G Anger, Douglas (1956), "The dependence of interresponse times upon the relative reinforcement of different interresponse times," Journal of Experimental Psychology 52, 145-161. O Anonymous (1955), "On some applications of statistics to biological sciences," Research Today (Eli Lilly and Company) 11 ( 2 ) , 27-39. Note: See pp. 35-39, neat presentation of randomization tests. O Ansari, A. R., and R. A. Bradley (1960), "Rank-sum tests for dispersions," Ann. Math. Statist. 31, 1174-1189. User: Tamura (1960). GNP Anscombe, F. J. (1948), "The validity of comparative experiments," ]. Roy. Statist. Soc. (A) 111, 181-211. Review: MR (1949) 724. Users: E. S. Pearson (1950a), Kempthorne (1952). A Aoyama, Hirojiro (1952), "On Midzuno's inequality," Annals of the Institute of Statistical Mathematics 3, 65-67. Review: MR (1953) 992. C Aoyama, Hirojiro (1953a), "On the chi-square test for weighted samples," Annals of the Institute of Statistical Mathematics 5, 25-28. Errata: Ibid. (1954) 179. HN 27

ΑΟΥΑΜΑ Aoyama, Hirojiro (1953b), "On a test in paired comparisons," Annals of the Institute of Statistical Mathematics 4, 83-87. Review: MR (1954) 46. GNP Aoyama, Hirojiro (1954), "A study of the stratified random sampling," Annals of the Institute of Statistical Mathematics 6, 1-36. Note: See Sec. 7. HN Appel, V. (1952), "Companion nomographs for testing the significance of the differences between uncorrelated proportions," Psychometril{a 17, 325-330. User: Trites (1957). Ρ Arbit, J. (1957), "Diurnal cycles and learning in earthworms," Science 125, 654-655. Note: Wilcoxon test. O Arbuthnot, J. (1710), "An argument for divine providence, taken from the constant regularity observed in the births of both sexes," Philosophical Transactions 27, 186-190. User: R. A. Bradley (1955c). Note: Signtestlike. O Arfwedson, G. (1951), "A probability distribution connected with Stirling's second class numbers," S\andinavis\ A\tuarietids\rift 34, 121-132. Review: MR (1952) 956. Ν Armington, John C., and Frederick C. Thiede (1954), "Effect of stimulus area and intensity upon the light-adapted electroretinogram," Journal of Experimental Psychology 47, 329-334. O Armitage, P. (1944), A Go Not-Go Sequential t-Test, (British) Ministry of Supply Advisory Service on Statistical Method and Quality Control. Technical Report Q.C. /R/20, 6 sheets. G Armitage, P. (1953), "Statistical concepts in the theory of bacterial mutation," Journal of Hygiene (Cambridge University Press) 51, 162-184. Note: See Table 4 and appendix, 95-percent confidence levels for upper quartile, « = 10 (1) 50. GOP Armitage, P. (1955), "Tests for linear trends in proportions and frequencies," Biometrics 11, 375-386. Review: /. Amer. Statist. Assoc. (1956) 528. Users: Hemelrijk (1957), D. R. Cox (1958). G Armitage, P. (1959), "The comparison of survival curves," J. Roy. Statist. Soc. (A) 122, 279-300. Review: IJA (1960) 612-614. Note: With discussion. GO Armitage, P., A. H. J. Baines, and D. V. Lindley (1944), On Some Properties of Binomial Sequences, (British) Ministry of Supply Advisory Service on Statistical Method and Quality Control. Technical Report No. Q.C. /R/28, 9 sheets. INΡ Armitage, P. and G. I. C. Ingram (1958), "Studies in the variability of two blood-clotting tests," Applied Statistics 7, 1-14. Note: Rank correlation. O 28

BAHADUR

Armsen, P. (1955), "Tables for significance tests of 2 X 2 contingency tables," Biometria 42, 494-511. Reviews: /. Amer. Statist. Assoc. (1956) 370, MR (1956) 638, ]. Roy. Statist. Soc. (A) (1957) 92, Math. Tables Aids Comput. (1958) 82. Users: Harkness (1959), Lehmann (1959). HP Aroian, L. A. (1943), " A new approximation to the levels of significance of the chi square distribution," Ann. Math. Statist. 14, 93-95. User: L. Miller (1956). Ν Atwater, Stephen K. (1953), "Proactive inhibition and associative facilitation as affected by degree of prior learning," Journal of Experimental Psychology 46, 400-404. Note: Sign test. O Auble, John Donovon (1953a), "Extended tables for the Mann-Whitney statistic," Bulletin of the Institute of Educational Research (Indiana University) 1, i-iii and 1-39. Review: J. Amer. Statist. Assoc. (1955) 601. Users: Fix and Hodges (1955), Vaart (1956), Sawrey (1958), Halperin (1960), Siegel and Tukey (1960). Note: Not seen. GP Auble, John Donovon (1953b), "Extended tables for the Mann-Whitney statistic and illustrative applications of certain nonparametric tests of significance," Studies in Education 1952, Thesis Abstract Series, School of Education, Indiana University, 9-13. Review: J. Amer. Statist. Assoc. (1955) 601. Users: McLemore (1959), Witting (1960). GP Austin, T., R. Fagen, T . Lehrer, and W. Penney (1957), "The distribution of the number of locally maximal elements in a random sample," Ann. Math. Statist. 28, 786-790. Review: MR (1958) 936. User: Glasgow (1959). IN Ayer, Miriam, H. D. Brunk, G. M. Ewing, W. T . Reid, and Edward Silverman (1955), "An empirical distribution function for sampling with incomplete information," Ann. Math. Statist. 26, 641-647. Users: Eeden (1956), Hemelrijk (1957). E Azorín, F. and H. Wold (1950), "Product sums and modulus sum of H. Wold's normal deviates," Trabajos de Estadística 1, 5-28. Review: MR (1952) 478. EOP Bachelier, Louis (1912), Calcul des Probabilités, Gauthier-Villars, Paris. Users: Guldberg (1922c), Fry (1928), Weida (1928), A. T . Craig (1932), Κ. L. Chung (1948, 1949), Blackman (1956), Feller (1957). Note: See pp. 252-253. Ν Bacon, Ralph Hoyt, "Probability of runs in correlated data." Abstract: /. Amer. Statist. Assoc. (1958) 569. User: H. David (1956). Note: Runs below and above sample average in normal correlated samples. Bahadur, R. R. (1960), "Stochastic comparison of tests," Ann. Math. Statist. 29

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31, 276-295. Abstract: Ann. Math. Statist. (1959) 623. Review: If A (1961) 495. Users: Bahadur (1960a, 1960b), Joffe and Klotz (1961). Note: Also as a 1959 mimeographed paper. BG Bahadur, R. R. (1960a), "Simultaneous comparisons of the optimum and the sign tests of a normal mean," Contributions to Probability and Statistics: Essays in Honor of Harold Hotelling, Ingram Olkin, et al., eds., Stanford University Press, Stanford, California, 79-88. User: Bahadur (1960b). BG Bahadur, R. R. (1960b), "On the asymptotic efficiency of tests and estimates," San\hyä 22, 229-252. User: Bahadur (1960a). Β Bahadur, R. R., and R. Ranga Rao (1960), "On deviations of the sample mean," Ann. Math. Statist. 31, 1015-1027. User: Bahadur (1960b). Ν Bahadur, R. R., and Leonard J. Savage (1956), "The nonexistence of certain statistical procedures in nonparametric problems," Ann. Math. Statist. 27, 1115-1122. Review: MR (1957) 834. User: D. R. Cox (1958a). BG Baillie, Donald C. (1946), "On testing the significance of mortality ratios by the use of χ 2 ," Transactions of the Actuarial Society of America 47, 326-344. Review: MR (1947) 284. 0 Baker, G. A. (1930), "Random sampling from non-homogeneous populations," Metron 8, 67-87. Users: A. T . Craig (1932), G. A. Baker (1946), Kendall (1948). Κ Baker, G. A. (1946), "Distribution of the ratio of sample range to sample standard deviation for normal and combinations of normal distributions," Ann. Math. Statist. 17, 366-369. Review: MR (1947) 43. KLP Baker, G. A. (1958), "Empiric investigation of a test of homogeneity for populations composed of normal distributions," J. Amer. Statist. Assoc. 53, 551-557. User: Tukey (1960). E Baker, G. Α., and H. R. Guibert (1942), "Non-randomness of variations in daily weights of cattle," Journal of Animal Science 1, 293-299. Note: Runs for deviates from least-square fitted line. O Baker, G. Α., and S. W. Mead (1942), "The oscillatory character of the variations in the weights of dairy heifers," Journal of Dairy Science 30,967-974. O Baker, Paul C. (1952), "Combining tests of significance in cross-validation," Education and Psychological Measurement 12, 300-306. Note: Not seen. X Baker, Robert Α., and Stanley W. Osgood (1954), "Discrimination transfer along a pitch continuum," Journal of Experimental Psychology 48, 241246. Note: Sign test. O Banerjee, Saival Kumar (1959), "Expressions of the lower bound to confidence coefficients," San\hyä 21, 127-140. Errata: Ibid. (1959) 404. Review: MR (1960) 1241. CG Barbehenn, K. R. (1958), "Spatial and population relationships between 30

BARTHOLOMEW

microtus and blarina," Ecology 39, 293-304. Note: 4 X 4 contingency table. HO Barnard, G. A. (1943a), The Use of the Median in Place of the Mean in Quality Control Charts, (British) Ministry of Supply Advisory Service on Quality Control, Technical Report No. Q.C. / R / 2 , 3 sheets. Note: "It is usually cheaper to calculate than to observe. That is the main reason why statisticians are used—so as to make the most out of existing data, rather than to go to the expense and trouble of getting more." R. L. Plackett coauthor of appendix. G LO Barnard, G. Α. (1944), An Analogue of Tchebycheffs Inequality in Terms of Range, (British) Ministry of Supply Advisory Service on Statistical Method and Quality Control, Technical Report No. Q . C . / R / l l , 1 sheet. C Barnard, G. A. (1945), "A new test for 2 X 2 tables," Nature 156, 177. Review: MR (1946) 131. Users: Fisher (1945), E. S. Pearson (1947), Tocher (1950). Η Barnard, G. A. (1947a), "Significance tests for 2 X 2 tables," Biometrica 34, 123-138. Review: MR (1947) 395. Users: Anscombe (1948), Finney (1948), Patnaik (1948), Pearson and Merrington (1948), Sillitto (1949), Good (1950), Hemelrijk (1950a), Tocher (1950), C. A. B. Smith (1951), Bross and Delaney (1952), Cochran (1952), Freeman (1953), Armsen (1955), Chandra Sekar, et al. (1955), Geary (1956), Roy and Mitra (1956), S. Ν. Roy (1957), Bhapkar (1959), Harkness (1959), Diamond, Mitra, and Roy (1960), Bhapkar (1961). Η Barnard, G. A. (1947b), "2 Χ 2 tables. A note on E. S. Pearson's paper," Biometrica 34, 168-169. Review: MR (1947) 395. Users: C. A. B. Smith (1951), Lancaster (1953). H Barnard, G. A. (1953), "Time intervals between accidents—a note on Maguire, Pearson and Wynn's paper," Biometrica 40, 212-213. Users: Maguire, Pearson, and Wynn (1953), Bartholomew (1954), D. R. Cox (1955). O Barra, Jean-René (1957), "Sur une propriété des fonctions de répartition empiriques considérées comme 'estimations' des fonctions de répartition théoriques," Comptes Rendus (Paris) 244, 3020-3022. Review: MR (1958) 585. E Barra, Jean-René (1960), "Extension du théorème de Von Mises à certaines classes de lois de probabilité sur Rk et plus généralement sur un espace Riesz," Comptes Rendus (Paris) 250, 52-54. Review: MR (1961) 180. Note: Not seen. EN Barry, H., I. L. Child, and Μ. Κ. Bacon (1959), "Relation of child training to subsistence economy," American Anthropologist 61, 51-63. Note: Wilcoxon two-sample test. O Bartholomew, D. J. (1954), "Note on the use of Sherman's statistic as a test 31

BARTHOLOMEW

for randomness," Biometrica 41, 556-558. Review: MR (1955) 383. Users: B. Sherman (1957), Epstein (1960). IP Bartholomew, D. J. (1956a), "Tests for randomness in a series of events when the alternative is a trend," J. Roy. Statist. Soc. (Β) 18, 234-239. Reviews: /. Amer. Statist. Assoc. (1957) 263, MR (1958) 1094. User: Epstein (1960). IN Bartholomew, D. J. (1956b), "A sequential test of randomness for events occurring in time or space," Biometrica 43, 64-78. Reviews: /. Amer. Statist. Assoc. (1956) 653, QCAS (1957) 87. I Bartlett, M. S. (1935a), "The effect of non-normality on the /-distribution," Proceedings of the Cambridge Philosophical Society 31, 223-231. Users: Geary (1936, 1947), Anscombe (1948), Kendall (1948), Gayen (1949, 1950b), R. A. Bradley (1952a, 1952b), Gayen (1952), Box (1953), Weibull (1953), Srivastava (1958), Bradley (1959b), Scheffé (1959), Boneau (1960). Κ Bartlett, M. S. (1935b), "Contingency table interactions," J. Roy. Statist. Soc. (B), 2, 248-252. Users: Norton (1945), Kendall (1948), P. O. Johnson (1949), Lancaster (1951), Simpson (1951), Batson (1956), Roy and Kastenbaum (1956), Roy and Mitra (1956), Snedecor (1956), Corsten (1957), S. N. Roy (1957), Sutclifife (1957), Snedecor (1958), Bhapkar (1959), Kastenbaum and Lamphiear (1959), Kullback (1959), Bhapkar (1961). Η Bartlett, M. S. (1937), "Properties of sufficiency and statistical tests," Proceedings of the Royal Society of London (A) 160, 268-282. Users: Greenwood (1938), Olds (1938b), Welch (1938a), Haldane (1940), Romanovski (1940), Battin (1942), Major Greenwood (1946), Anscombe (1948), Lewis and Burke (1949), Hartley (1950b), E. S. Pearson (1952), Box (1953), Bechhofer and Sobel (1954), Hoel (1954), Box and Andersen (1955), Lehmann and Schefié (1955), Scheffé (1959), Boneau (1960). Note: Fisher's exact test and x 2 criterion for test of goodness of fit. AEH Bartlett, M. S. (1949), "Fitting a straight line when both variables are subject to error," Biometrics 5, 207-212, Review: MR (1950) 190. Users: Theil (1950a), Neyman and Scott (1951), Theil (1951), Quenouille (1952), Tippett (1952), Hudimoto (1956), Theil and Yzeren (1956), Gibson and Jowett (1957), Tate and Clelland (1957), Parker (1958), Madansky (1959). / Bartlett, M. S. (1951), "The frequency goodness of fit test for probability chains," Proceedings of the Cambridge Philosophical Society 47, 86-95. Review: MR (1951) 512. Users: Bartlett (1952), Good (1953), Patankar (1954), Basarin (1957), Dawson and Good (1957), D. R. Cox (1958), 32

BARTON

Goodman (1958, 1958a, 1959), Krishna Iyer and Shakuntala (1959), Suppes and Atkinson (1959), Bhat (1961), Billingsley (1961, 1961a). / Bartlett, M. S. (1951a), "The goodness of fit of a single hypothetical discriminant function in the case of several groups," Annals of Eugenics 16, 119-214. Users: E. J. Williams (1952), Lynch and Freund (1957). G Bartlett, M. S. (1952), "A sampling test of the χ 2 theory for probability chains," Biometrica 39, 118-121. Review: MR (1952) 962. User: Billingsley (1961). I Bartlett, M. S. (1956), "Note on a visit to Moscow for the Third Soviet Mathematical Congress," /. Roy. Statist. Soc. (A) 119, 456-458. A Barton, D. E. (1953), "On Neyman's smooth test for goodness of fit and its power with respect to a particular system of alternatives," S\andinavis\ A\tuarietids\rift 36, 24-63. Review: MR (1954) 453. Users: Barton (1955), Neyman (1955), Barton (1956a), Barton and David (1956b), Watson (1959). EP Barton, D. E. (1955), "A form of Neyman's χ 2 test of goodness of fit applicable to grouped and discrete data," S\andinavis\ A\tuarietidshrift 38, 1-16. Reviews: MR (1956) 870, ]. Amer. Statist. Assoc. (1956) 528. Users: Barton (1956a), Watson (1959). EP Barton, D. E. (1956a), "Neyman's χ 2 test of goodness of fit when the null hypothesis is composite," S\andinavis\ Aktuarietids\rtft 39, 216-245. Abstract: Proceedings of the International Congress of Mathematicians 2 (1954 ) 274. Review: MR (1958) 896. Users: Watson (1958), Mallows (1959), Watson (1959). E Barton, D. E. (1956b), "The limiting distribution of Kamat's test statistic," Biometrica 43, 386-387. Review: QCAS (1956) 783. Users: Ansari and Bradley (1960). Ν Barton, D. E. (1957a), "A comparison of two sorts of test for a change of location applicable to truncated data," /. Roy. Statist. Soc. (Β) 19, 119— 124. Review: MR (1958) 1204. User: Barton and David (1957). G Barton, D. E. (1958), "The matching distributions: Poisson limiting forms and derived methods of approximation," /. Roy. Statist. Soc. (Β) 20, 7392. Review: MR (1959) 1200. User: Joseph and Bizley (I960). AN Barton, D. E., and F. N. David (1955), "Sums of ordered intervals and distances," Mathematica 2, 150-159. Review: MR (1956) 863. Users: Barton and David (1956b), Dwass (1959). Ν Barton, D. E., and F. N. David (1956), "Spearman's Rho and the matching problem," British Journal of Statistical Psychology 9, 69-73. Users: Mallows (1957), Barton (1958), Kruskal (1958). JP Barton, D. E., and F. N. David (1956a), "Some notes on ordered random

33

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intervals," /. Roy. Statist. Soc. (Β) 18, 79-94. Reviews: /. Amer. Statist. Assoc. (1957) 95, MR (1957) 240, Math. Tables Aids Comput. (1958) 80. Users: Barton and David (1955, 1956b), Ishii (1958), Dwass (1959). LP Barton, D. E., and F. N. David (1956b), "Tests for randomness of points on a line," Biometrica 43, 104-112. Reviews: MR (1956) 982, Math. Tables Aids Comput. (1958) 77. Users: Dwass (1959), Epstein (1960), Sollberger (1960). INOP Barton, D. E., and F. N. David (1957), "Multiple runs," Biometrica 44, 168-178. Errata: Ibid. (1957) 534. Reviews: MR (1958) 70, Math. Tables Aids Comput. (1958) 303. Users: Barton (1958), Barton and David (1958a, 1958b), Goodman (1958) Barton and David (1959). NP Barton, D. E., and F. N. David (1958), "A test for birth order effect," Annals of Eugenics 22, 250-257. Review: Math. Tables Aids Comput. (1960) 384. User: Ansari and Bradley ( 1960). AEP Barton, D. E., and F. N. David (1958a), "Runs in a ring," Biometrica 45, 572-578. Review: IJA (1959) 9. User: Billingsley (1961). NP Barton, D. E., and F. N. David (1958b), "Non-randomness in a sequence of two alternatives, II. Runs test," Biometrica 45, 253-256. User: Billingsley (1961). I Barton, D. E., and F. N. David (1959), "Combinatorial extreme distributions," Mathematica 6, 63-76. Users: Dwass (1959, 1959c). Ν Barton, D. E., and F. N. David (1959a), "Contagious occupancy," /. Roy. Statist. Soc. (B) 21, 120-133. User: Barton and David (1959b). EIN Barton, D. E., and F. N. David (1959b), "The dispersion of a number of species," /. Roy. Statist. Soc (Β) 21, 190-194. Review: QCAS (1960) 127. Ν Barton, D. E., and F. N. David (1959c), "A collector's problem," Trabajos de Estadística 10, 75-88. Reviews: MR (1960) 179, QCAS (1960) 573, IJA (1961) 236. NP Barton, D. E., F. N. David, and Evelyn Fix (1960), "The polykays of the natural numbers," BiometriCa 47, 53-59. Review: MR (1961) 348. NP Barton, D. E., F. N. David, and C. L. Mallows (1958), "Non-randomness in a sequence of two alternatives. I. Wilcoxon's and allied test statistics," Biometrica 45, 166-180. User: Barton and David (1958b). IO Basharin, G. P. (1957), "The use of the chi-square criterion as a test for the independence of events," DoCJady ACademii NauC SSSR 117, 167-170. Russian. Review: MR (1959) 379. User: Billingsley (1961). Η Basmann, R. L. (1960), "On finite sample distributions of generalized classical linear identifiability test statistics," /. Amer. Statist. Assoc. 55, 650-659. Note: Uses one-sample Kolmogorov-Smirnov test. O Bateman, G. (1948), "On the power function of the longest run as a test 34

BECHHOFER

for randomness in a sequence of alternatives," Biometrica 35, 97-112. Review: MR (1948) 603. Users: P. G. Moore (1949), Janko (1950), Β. V. Sukhatme (1951), Walter (1951), Munter (1955), Kuipers (1957), P. G. Moore (1958), Barton and David (1959). INP Baten, W. D. (1946), "Analysis of scores from sampling tests," Biometrics 2, 11-14. M Baten, W. D., and G. M. Trout (1946), "A critical study of the summationof-difïerence-in-rank method of determining proficiency in judging dairy products," Biometrics 2, 67-69. M Bates, Alan P. (1952), "Some sociometric aspects of social ranking in a small face-to-face group," Sociometry 15, 334-341. Note: Spearman's p. 0 Bates, Grace E., and Jerzy Neyman (1951), Discriminatory Analysis: Vili. Contribution to the theory of accident proneness, Part I. An optimistic model of the correlation between light and severe accidents, Project No. 21-49-004, USAF School of Aviation Medicine, Randolph Field, Texas. O Baticle, Edgar (1951), "Sur la probabilité des iterations dans le schème de Bernoulli," Comptes Rendus (Paris) 232, 472-473. Review: MR (1951) 619. Ν Batson, Herbert C. (1956), "Applications of factorial chi-square analysis to experiments in chemistry," Transactions of the 10th Annual Meeting, American Society for Quality Control, 9-23. Review: QCAS (1956) 797. G Battin, I. L. (1942), "On the problem of multiple matching," Ann. Math. Statist. 13, 294-305. Review: MR (1943) 102. Users: T . W. Anderson (1943), Greville (1944), Kaplansky and Riordan (1945), Kendall (1948), R. E. Greenwood (1953a), Krishna Iyer (1954), Stafï Comp. Lab. (1955), Gilbert (1956), Barton (1958). Ν Bauer, R. Κ. (1955), "Zur nichtparametrischen Ableitung der Streuungen des multiplen und des partiellen Korrelationskoeffizienten, sowie des multiplen Regressionskoeffizienten im Falle der Nullhypotheses," Mitteilungsblatt für mathematische Statisti\ 7, 220-223. Review: MR (1956) 503. User: O. Anderson (1956). / Bauer, R. K., "On non-parametric significance tests of multiple and partial correlation coefficients and multiple regression coefficients." Abstract: Biometrics (1958) 435. / Beali, Geoffrey, and Richard R. Rescia (1953), "A generalization of Neyman's contagious distributions," Biometrics 9, 354-386. Note: χ 2 goodnessof-fit. O Bechhofer, Robert E. (1954), "A single-sample multiple decision procedure for ranking means of normal populations with known variances," Ann. 35

BECHHOFER Math. Statist. 25,16-39. Users: Bechhofer and Sobel (1954), Hall (1958a), Maurice (1958), Hall (1959), Bose and Gupta (1959), Glenn (I960), Karlin and Truax (1960). Note: See p. 25 and Tables I and II. Ρ Bechhofer, Robert E., and Milton Sobel (1954), "A single-sample multiple decision procedure for ranking variances of normal populations," Ann. Math. Statist. 25, 273-289. Users: Bradley and Somerville (1955), Hall (1958a, 1959). Note: Probabilities of rank orders of gamma variables. Ρ Bechhofer, Robert E., and Milton Sobel, "Non-parametric multiple-decision procedures for selecting that one of Κ populations which has the highest probability of yielding the largest observation." Abstract: Ann. Math. Statist. (1958) 325. G Becker, Gordon M. (1958), "Sequential decision making: Wald's model and estimates of parameters," Journal of Experimental Psychology 55, 628-636. 0 Beeler, F. Α., "Two nonparametric significance tests," Abstract: American Mathematical Monthly (1960) 720. A Bejar, Juan (1952), "Maxima and minima of the coefficients of asymmetry and kurtosis in finite populations," Trabajos de Estadística 3, 3-11. Spanish; French summary. Review: MR (1953) 389. X Bejar, Juan (1958), "Contingency tables," Trabajos de Estadística 9, 85-101. Spanish. Reviews: MR (1959) 1109, IJA (1959) 78, QCAS (1959) 461. HN Bell, C. B. (1954), Application of Distribution-free Statistics to Some problems in Missile Design and Production, Report SM 18396, Douglas Aircraft Co., Santa Monica, California. User: Bell (1960). Note: Not seen. 0 Bell, C. B. (1960), "On the structure of distribution-free statistics," Ann. Math. Statist. 31, 703-709. Abstract: Ann. Math. Statist. (1958) 327. User: Bell, Blackwell, and Breiman (1960). Β Bell, C. B., D. Blackwell, and L. Breiman (1960), "A note on the completeness of order statistics," Ann. Math. Statist. 31, 794-797. User: Bell (1960). Β Beiz, Maurice Η., and Robert Hooke (1954), "Approximate distribution of the range in the neighborhood of low percentage points," J. Amer. Statist. Assoc. 49, 620-636. Abstract: Ann. Math. Statist. (1953) 143. KL Benard, Α., and Constance van Eeden (1953), Statistical Analysis of an Epidemiological Investigation of Tuberculosis in Indonesia, Report S 109, Statistics Department, Mathematical Center, Amsterdam, 23. Note: Printed form received 1961. This is an appendix to a 1953 dissertation by H. E. Driessen. O Benard, Α., and Constance van Eeden (1956), Directions for the Use of 36

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Wilcoxon's Signed Ranntest, Report S 208 (M 76), Statistics Department, Mathematical Center, Amsterdam, 33. Dutch. Users: Eeden and Benard (1957). GNP Benard, Α., and Ph. van Eiteren (1953), "A generalization of the method of m rankings," Proceedings Koninltfijke Nederlandse Akademie van Wetenschappen (A) 56 (Indagationes Mathematicae 15), 358-369. Abstract: Proceedings of the International Congress of Mathematicians 2 (1954) 275. Review: MR (1954) 45. Users: Dantzig and Hemelrijk (1954), Dantzig (1955), Kendall (1955a, 1955b), Eiteren and Peype (1956), Eiteren (1957), Noether (1958), Eiteren and Noether (1959), Starks and David (1959), Bradley and Pendergrass (1960), Noether (1960). GN Benderskill, A. M. (1952), "On the distribution of the absolute value of the maximum deviation from the mean in a series of observations," Do\lady A\ademii Nau\ SSSR (N.S.) 85, 5-8. Russian. Review: MR (1952) 63. LN Bendersky, L. (1948), "Sur quelques problèmes concernant les épreuves répétées," Bulletin des Sciences Mathématiques ( 2 ) 72, 99-107. Review: MR (1949) 384. User: Ludwig (1957). Ν Bendig, A. W. (1954), "Transmitted information and the length of rating scales," journal of Experimental Psychology 47, 303-308. O Benedetti, Carlo (1957), "Di alcune disuguaglianze collegate al campo di variazione di indici statistici," Metron 18 (3, 4), 102-125. English summary. / Benktander, Gunnar (1953), "On the variation of the risk premium with dimensions of the house within fire insurance," S\andinavis\ A\tuarietids\rift 36, 203-214. Note: Uses x2 goodness-of-fit. O Bennett, B. M., "The power function of the Haldane-Smith test." Abstract: Ann. Math. Statist. (1952) 476. I Bennett, B. M. (1955), "The cumulants of a sample mean from a finite population of first Ν integers," Trabajos de Estadística 6, 31-32, Spanish summary. Review: MR (1956) 380. Ν Bennett, Β. M. (1956), "On a rank-order test for the equality of probability of an event," S\andinavis\ A\tuarictids\rift 39, 11-18. Reviews: MR (1957) 956, QCAS (1957) 753. Users: Hemelrijk (1957), Cox (1958), Bennett (1959). IN Bennett, Β. M. (1959), "Note on the power function of the Xn test in genetics," S\andinavis\ A\tuarietids\ri]t 42, 1-5. Review: MR (1961) 418. IP Bennett, Β. M., and P. Hsu (1960), "On the power function of the exact test for the 2 X 2 contingency table," Biometrica 47, 393-398. Review: If A (1961) 496. Note: With E.S.P. editorial note. HP 37

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Bennett, Carl A. (1951), "Application of tests for randomness," Industrial and Engineering Chemistry 43, 2063-2067. 10 Bennett, Carl Α., "Asymptotic properties of ideal linear estimators." Abstract -.Ann. Math. Statist. (1953) 138-139. Note: University of Michigan thesis (1952). LP Bennett, Carl Α., and Norman L. Franklin (1954), Statistical Analysis in Chemistry and the Chemical Industry, Wiley, New York, xvi, 724. Review: /. Amer. Statist. Assoc. (1955) 980-984. Users: Schefïé (1956), Singh (1958), Teegarden (1960). Note: See pp. 30-31, 157-160, 162-164, 283-286, 620-626, 668-677. A Bennett, Joseph F. (1956), "Determination of the number of independent parameters of a score matrix from the examination of rank orders," Psychometri\a 21, 383-393. Review: MR (1957) 427. Users: Guttman (1959), Bennett and Hays (1960). / Bennett, Joseph F., and William L. Hays (1960), "Multidimensional unfolding: Determining the dimensionality of ranked preference data," Psychometrikfl 25, 27-43. Review: MR (1961) 418. User: Coombs and Kao (1960). M Bennett, J. H. (1956a), "Partitions in more than one dimension," J. Roy. Statist. Soc. (B) 18, 104-112. Review: Math. Tables Aids Comput. (1958) 83. NP Benson, F. (1949), "A note on the estimation of mean and standard deviation from quantiles," /. Roy. Statist. Soc. (B) 11, 91-100. User: Harter (1959). KL Beretta, L. (1941), "A proposito del lemma di Bienaymé," Giornale dell'Istituto Italiano degli Attuari (Rome) 12, 122-126. Review: MR (1947) 214. C Berge, P. O. (1932), "Über das Theorem von Tchebycheff und andere Grenzen einer Wahrscheinlichkeitsfunktion," S\andinavis\ Aktuarietids\rift 15, 65-77. Users: O. Anderson (1956), Simpson and Welch (1960). CP Berge, P. O. (1937), "A note on a form of Tchebycheff's theorem for two variables," Biometria 29, 405-406. Users: Leser (1942), Camp (1948), Kendall (1948), Godwin (1955), Lai (1955), Munter (1955), C. D. Smith (1955), Olkin and Pratt (1958), Whittle (1958), Isii (1959), Marshall and Olkin (1959), Birnbaum and Marshall (1960), Marshall and Olkin (1960b). CP Berger, Agnes (1951), "On uniformly consistent tests," Ann. Math. Statist. 22, 289-293. Review: MR (1952) 143. Users: J. R. Rosenblatt (1955), Hoeffding (1956), Hoeffding and Wolfowitz (1958), Lehmann (1959). Β Bergström, Harald (1949), "On the central limit theorem in the case of not 38

BERRY

equally distributed random variables," S\andinavis\ A\tuarietids\ri]t 32, 37-62. Review: MR (1950) 255. Users: Bergström (1951), Godwin (1955), Hoeffding (1955a), Wallace (1958). Ν Bergström, Harald (1951), "On asymptotic expansions of probability functions," S\andinavis\ Abtuarietidshrift 34, 1-34. Review: MR (1952) 258. Ν Bergström, Harald (1958), "A remark on Spearman's rank correlation coefficient," Biometrica 25, 273-274. / Berkson, Joseph (1938), "Some difficulties of interpretation encountered in the application of the chi-square test," /. Amer. Statist. Assoc. 33, 526— 536. Users: Camp (1938), Deming (1938), Fry (1938), Berkson and Geary (1941), Cochran (1952, 1954), Hodges and Lehmann (1954), Fix, Hodges and Lehmann (1959). E Berkson, Joseph (1955), "The statistical study of association between smoking and lung cancer," Proceedings of the Staff Meetings of the Mayo Clinic 30, 319-348. User: Goodman and Kruskal (1959). 0 Berkson, Joseph, and R. C. Geary (1941), "Comments on Dr. Madow's 'Note on tests of departure from normality' with some remarks concerning tests of significance," /. Amer. Statist. Assoc. 36, 539-543. User: Lehmann (1951). E Berkun, Mitchell M., and Sara Lee Holtz (1957), Extended Simplified Significance Tables for the Mann-Whitney Ran\-sum Test, U. S. Army Leadership Human Research Unit, Fort Ord, California. Note: Uses normal approximation. GP Berlyand, H. L. (1952), "On a problem of comparison of two samples," Dopovidi Akademii Nau\ U\rains'\oi Socialisticnoi Respubli\i (Kiev), 13-15. Ukrainian; Russian summary. Review: MR (1954) 637. Note: Not seen. F Berman, Simeon M., "Limiting distribution of the maximum in an infinite sequence of exchangeable random variables." Abstract: Ann. Math. Statist. (1960) 812. L Bernstein, S. (1924), "Sur une modification de l'inégalité de Tchebichef," Annuales Scientifiques des Institutions Savantes de l'Ouïr aine (Section Mathématique), 38-49. Russian; French summary. Users: Godwin (1955), Taga and Isii (1959). Note: Not seen. C Bernstein S. (1934), Theory of Probability, Second Edition, Moscow. Users: C. C. Craig (1933), Gnedenko and Kolmogorov (1954), Rihter (1959). Note: see pp. 155-170. First edition 1927, also 1946 edition. C Bernstein, S. (1937), "Sur quelques modifications de l'inégalité de Tchebycheff," Comptes Rendus (Do\lady) de l'Académie des Sciences d l'URSS 17, 279-282. User: Godwin (1955). C Berry, Andrew C. (1941), "The accuracy of the Gaussian approximation 39

BERSH

to the sum of independent variates," Transactions of the American Mathematical Society 49, 122-136. Review: MR (1941) 228. Users: Esseen (1945), Feller (1945), Hsu (1945), K. L. Chung (1948, 1949), Bergström (1949), Gnedenko and Kolmogorov (1954), Stoker (1954, 1954a), Hoeffding (1955a), J. R. Rosenblatt (1955), Shapiro (1955), Stoker (1955), Esseen (1956), Wallace (1958), Quade (1959). Ν Bersh, P. J. (1951), "The influence of two variables upon the establishment of a secondary reinforcer for operant responses," Journal of Experimental Psychology 41, 62-73. O Bersot, H. (1919), "Variabilité et corrélations organiques. Nouvelle étude du réflexe plantaire. Chapter IV. Détermination du sens de la variation. Méthodes des H et des = =¿=." Schweizer Archiv für Neurologie und Psychiatrie 5, 305-324. User: Kruskal ( 1958). H Bertrand, J. (1875), "Note relative au théorème de M. Bienaymé," Comptes Rendus (Paris) 81, 458, 491-492. Users: André (1883b), Wallis and Moore (1941a). IN Bertrand, J. (1907), Calcul des Probabilités, Gauthier-Villars, Paris. Users: Guldberg (1922a), Gumbel (1935), Drion (1952). Ν Besson, Louis (1920), "On the comparison of meteorological data with chance results" (translated and abridged by E. W. Woolard), Monthly Weather Review (U.S. Department of Agriculture) 48, 89-94. Users: Cowles and Jones (1937), Wallis and Moore (1941a), Levene and Wolfowitz (1944), Kendall (1948), Kiveliovitch and Vialar (1953). IN Betz, W. (1927), Über Korrelation, J. Α. Barth, Leipzig, 88. Users: Deuchler (1914), Lipmann (1921), Kruskal (1958). Note: First printed 1911. Hi Bezem, J. J. (1954), " A sequential method for testing interaction of two factors producing the same all-or-none effect," Proceedings Koninl{lij\e Νederlandse A\amedie van Wetenschappen (A) 57 (Indagationes Mathematicae 16), 424-431. GH Bhapkar, I. Vasant P. (1959), Contributions to the Statistical Analysis of Experiments With One or More Responses (Not Necessarily Normal), Mimeograph Series No. 229, Institute of Statistics, University of North Carolina, xii, 123. User: Bhapkar (1961). EGHNJ Bhapkar, I. Vasant P., "Some non-parametric problems: I and II." Abstract: Ann. Math. Statist. (1959) 1271-1272. G Bhapkar, I. Vasant P. (1961), "Some tests for categorical data," Ann. Math. Statist. 32, 72-83. H Bhat, B. R. (1961), "On the asymptotic distribution of the 'psi-squared' goodness of fit criteria for Markov chains and Markov sequences," Ann. Math. Statist. 32, 49-58. IN Bhate, D. H. (1951), " A note on the estimates of centre of location of 40

BILLINGSLEY

symmetrical populations," Calcutta Statistical Association Bulletin 4, 3335. Review: MR (1952) 762. Note: Not seen. L Bhattacharyya, A. (1943), "On a measure of divergence between two statistical populations defined by their probability distributions," Bulletin of the Calcutta Mathematical Society 35, 99-109. Review: MR (1945) 7. Users: Adhikari and Joshi (1956). Note: Similar to work of Matusita. F Bhattacharyya, A. (1946), "On a measure of divergence between two multinomial populations," San\hyä 7, 401-406. Review: MR (1947) 282. F Bickerstaff, T . A. (1947), Certain Order Probabilities in Nonparametric Sampling, dissertation: University of Michigan. Note: Not seen. NP Bickerstaff, T . A. (1947), Certain Order Probabilities in Nonparametric Monthly (1956) 454. AN Bleking, C. A. (1956), "Statistical techniques in paper testing," ASQC Conference papers. O Bienaymé, }. (1853), "Considérations à l'appui de la découverte de Laplace sur la loi de probabilité dans la méthode des moindres carrés," Comptes Rendus (Paris) 37, 309-326. Users: Lurquin (1924, 1928c), C. D. Smith (1930), Beretta (1941), Loève (1945), Theil (1949), C. D. Smith (1955). C Bienaymé, J. (1867), "Considérations à l'appui de la découverte de Laplace sur la loi de probabilité dans la méthode des moindres carrés," Journal de Mathématiques Pures et Appliquées 12, 158-176. Users: Tchebycheff (1899), Lurquin (1928c). C Bienaymé, J. (1875), "Application d'un théorème nouveau du calcul des probabilités," Comptes Rendus (Paris) 81, 417-423. Users: André (1883b), Schrutka (1941), Wallis and Moore (1941a). IN Bignardi, F. (1947a), "Sur les généralisations de l'inégalité de BienayméTchebycheff dans l'étude des distributions de fréquence," Annali della Facoltà di Economia e Commercio (University of Palermo) 1, 47-49. User: Bignardi (1947b). C Bignardi, F. (1947b), "De quelques critères pour l'application des inégalités de Bienaymé-Tchebychefï et de Vinci dans l'étude des distributions de fréquence," Annali della Facoltà di Economia e Commercio (University of Palermo) 1, 84-108. C Bilham, E. G. (1926), "Correlation coefficients," Quarterly Journal of the Royal Meteorological Society 52, 172. Users: Wallis and Moore (1941a), Stuart (1954b). Note: "By reasoning on generally similar lines, it may be shown that if η successive differences have similar signs, the chances are η + 1 to one in favour of a change of sign in the next difference." INO Billewicz, Wladyslaw Z. (1955), " A simple non-parametric graphical test for the significance of a difference," Applied Statistics 4, 97-102. JO Billingsley, Patrick (1956), "Asymptotic distributions of two goodness of 41

BILLINGSLEY fit criteria," Ann. Math. Statist. 27, 1123-1129. Review: MR (1957) 607. Users: Good (1957), Goodman (1958a, 1959), Solomon (1960), Bhat (1961), Billingsley (1961, 1961a). EN Billingsley, Patrick (1961), "Statistical methods in Markov chains," Ann. Math. Statist. 32, 12^0. User: Billingsley (1961a). Note: 113 references. AI Billingsley, Patrick (1961a), Statistical Inference for Mar\ov Processes, Statistical Research Monographs, II, sponsored jointly by the Institute of Mathematical Statistics and the University of Chicago, the University of Chicago Press, Chicago, 75. Note: See examples in Sec. 5. HIN Bindru, Dulbir, and Lois Cameron (1953), "Changes in experimentallyproduced anxiety with the passage of time: incubation effect," Journal of Experimental Psychology 45, 197-203. O Birch, David, and Victoria Vandenberg (1955), "The necessary conditions for cue-position patterning," Journal of Experimental Psychology 50, 391-396. O Birnbaum, Allan (1954), "Combining independent tests of significance," /. Amer. Statist. Assoc. 49, 559-574. Review: MR (1955) 383. User: Zelenand Joel (1959). X Birnbaum, Ζ. W. (1948), "On random variables with comparable peakedness," Ann. Math. Statist. 19, 76-81. Review: MR (1948) 452. Users: Olds (1952), Mulholland (1953), Godwin (1955), Sherman (1955), Mallows (1956a), Karlin (1957). CNX Birnbaum, Ζ. W. (1950), "On the distribution of Kolmogorov's statistic for finite sample size," Proceedings of the Seminar on Scientific Computation (IBM Corporation, New York, November, 1949), 33-36. Review: MR (1952) 571. User: Birnbaum (1952). EN Birnbaum, Ζ. W . (1952), "Numerical tabulation of the distribution of Kolmogorov's statistic for finite sample size," J. Amer. Statist. Assoc. 47, 425-441. Reviews: MR (1953) 389, Math. Tables Aids Comput. (1953) 88. Users: Barnard (1953), Birnbaum (1953a), Gihman (1953, 1953b), Maguire, Pearson, and Wynn (1953), Moses (1953), Waerden (1953b), Anderson and Darling (1954), Goodman (1954a, 1954b), Kac, Kiefer, and Wolfowitz (1955), Kunisawa, Makabe, and Morimura (1955), Jasper (1956), Klose (1956), Miller (1956), Dixon and Massey (1957), Savage (1957a), Waerden (1957), J. I. Rosenblatt (1958), Sawrey (1958), Schmid (1958), Sobel and Huyett (1958), Lindgren and McElrath (1959), Quade (1959), Wilks (1959), Basmann (1960), Bell (I960), Epstein (1960), Quandt (1960). EP Birnbaum, Ζ. W. (1953a), "Distribution-free tests of fit for continuous distribution," Ann. Math. Statist. 24, 1-8. Review: MR (1953) 666. Users: Birnbaum (1953), Anderson and Darling (1954), Birnbaum and Rubin 42

BIRNBAUM

(1954), Goodman (1954b), Wolfowitz (1954a), Aggarwal (1955), Darling (1955), Matusita (1955), Tsao (1955), Baker (1958), Chapman (1958), Bell (1960). ABE Birnbaum, Z. W. (1953b), "On the power of a one-sided test of fit for continuous probability functions," Ann. Math. Statist. 24, 484-489. Review: MR (1954) 47. Users: Birnbaum (1953a, 1954a), Hoeffding (1954), Scheuer (1954), Hoeffding and Rosenblatt (1955), Klose (1956), Waerden (1957), Chapman (1958), Schmid (1958), J. I. Rosenblatt (1958), Quade (1959). E Birnbaum, Ζ. W. (1954a), "On the power of a distribution-free test of fit," Proceedings of the International Congress of Mathematicians (Amsterdam), 2, 278-279. E Birnbaum, Ζ. W., "Characterization of distribution-free statistics." Abstract: /. Amer. Statist. Assoc. (1954b) 343. Β Birnbaum, Ζ. W. (1956), "On the use of the Mann-Whitney statistic," Proceedings of the Third Berkeley Symposium on Mathematical Statistics and Probability, Vol. I, University of California Press, Berkeley, 13-17. Review: MR (1957) 945. Users: Birnbaum and Klose (1957), Kruskal (1957), Birnbaum and McCarty (1958), D. R. Cox (1958), Hudimoto (1958), Savage (1958), Schwartz and Waerden (1959). G Birnbaum, Ζ. W., and R. A. Hall (1959), Small Sample Distributions for Multiple-Sample Statistics of the Smirnov Type. Technical Report No. 33, Contract N-onr-477 (11), Department of Mathematics, University of Washington, 19. FNΡ Birnbaum, Ζ. W., and Orval M. Klose (1957), "Bounds for the variance of the Mann-Whitney statistic," Ann. Math. Statist. 28, 933-945. Abstract: Bull. Amer. Math. Soc. (1955) 329. Review: MR (1959) 395. Users: Z. W. Birnbaum (1956), Schwartz and Waerden (1959). G Birnbaum, Ζ. W., and A. W. Marshall (1960), Some Multivariate Chebyshev Inequalities With Extensions to Continuous Parameter Processes. Technical Report No. 32, Applied Mathematics and Statistics Laboratories, Stanford University, Stanford, California. User: Whittle (1958a). C Birnbaum, Ζ. W., and R. C. McCarty (1958), "A distribution-free upper confidence bound for Pr(Y < X ) based on independent samples of X and Y," Ann. Math. Statist. 29, 558-562. Review: MR (1959) 394. User: Butler and McCarty (1960). G Birnbaum, Ζ. W., and Ronald Pyke (1958), "On some distributions related to the statistic DJ' Ann. Math. Statist. 29, 179-187. Abstract: Ann. Math. Statist. (1956) 864-865. Review: MR (1959) 393. Users: Vincze (1957), Chapman (1958), Dwass (1958), Dempster (1959), Dwass (1959), Kuiper (1959), Pyke (1959), Kuiper (1960, 1960a). EN Birnbaum, Ζ. W., J. Raymond, and H. S. Zuckerman (1947), "A generaliza43

BIRNBAUM

tion of Tshebyshev's inequality to two dimensions," Ann. Math. Statist. 18, 70-79. Review: MR (1947) 470. Users: Camp (1948), Godwin (1955), Hoeffding (1955a), Hoeffding and Shrikhande (1955), Lai (1955), C. D. Smith (1955). C Birnbaum, Ζ. W., and H. Rubin (1954), "On distribution-free statistics," Ann. Math. Statist. 25, 593-598. Review: MR (1955) 497. Users: Bell (1958), Chapman (1958), Bell (1960), Saunders (1960). Β Birnbaum, Ζ. W., and Ernest M. Scheuer (1954), On the Power of Distribution-free One-sided Test of Fit Against Stochastically Comparable Alternatives. Technical Report No. 15, Laboratory of Statistical Research, University of Washington. Abstract: Ann. Math. Statist. (1954) 619. Users: Chapman (1958), Quade (1959). E Birnbaum, Ζ. W., and Fred H. Tingey (1951), "One-sided confidence contours for probability distribution functions," Ann. Math. Statist. 22, 592-596. Reviews: MR (1952) 367, Math. Tables Aids Comput. (1952) 154. Users: Z. W. Birnbaum (1952, 1953, 1953a), Waerden (1953b), Goodman (1954b), Malmquist (1954), Scheuer (1954), Ζ. W. Birnbaum (1956), Bartholomew (1956a), Klose (1956), Miller (1956), Hudimoto (1957), Kemperman (1957), Waerden (1957), Birnbaum and McCarty (1958), Chapman (1958), Hudimoto (1958), Pyke (1958), Schmid (1958), Dempster (1959), Dwass (1959), Hudimoto (1959), Ishii (1959), Nisselson and Woolsey (1959), Pyke (1959), Wilks (1959), Bell (I960), Epstein (1960). ENP Birnbaum, Z. W., and Herbert S. Zuckerman (1944), "An inequality due to H. Hornich," Ann. Math. Statist. 15, 328-329. Reviews: MR (1945) 160, Math. Tables Aids Comput. (1951) 49. User: Tukey (1946). X Birnbaum, Z. W., and Herbert S. Zuckerman (1949), "A graphical determination of sample sizes for Wilks' tolerance limits," Ann. Math. Statist. 20, 313-316. Review: MR (1949) 724. User: Saunders (1956). D Bitterman, M. E., P. C. Reed, and A. L. Kubala (1953), "The strength of sensory preconditioning," Journal of Experimental Psychology 46, 178182. Note: Wilcoxon one-sample. O Bitterman, M. E., and Jerome Wodinsky (1953), "Simultaneous and successive discrimination," Psychological Review 60, 371-376. Users: Calvin and Siebel (1954), Birch and Vandenberg (1955), Calvin and Williams (1956), North and Jeeves (1956). O Blackman, Jerome (1955), "On the approximation of a distribution function by an empiric distribution," Ann. Math. Statist. 26, 256-267. Abstract: Bull. Amer. Math. Soc. (1955) 229. Review: MR (1956) 379. G Blackman, Jerome (1956), "An extension of the Kolmogorov distribution," Ann. Math. Statist. 27, 513-520. Errata: Ibid. (1958) 318-324. Reviews: 44

BLOCK

QCAS (1956) 979, MR (1957) 605. Users: Schmid (1958), Ishii (1959), Reimann and Vincze (1960). Note: J. H. B. Kemperman wrote appendix to errata. EF Blackwell, David (1954), "On optimal systems," Ann. Math. Statist. 25, 394-397. Review: MR (1954) 882. C Blalock, H. M., Jr. (1958), "Probabilistic interpretations for the mean square contingency," /. Amer. Statist. Assoc. 53, 102-105. H Blank, A. A. (1956), "Existence and uniqueness of a uniformly most powerful randomized unbiased test for the binomial," Biometrica 43, 465466. Review: MR (1957) 426. G Bliss, C. I. (1944), " A chart of the chi-square distribution," /. Amer. Statist. Assoc. 39, 246-248. Review: MR (1945) 9. Users: Mainland (1948), Wilcoxon (1959), Walker and Lev (1953). Ρ Bliss, C. I. (1953), "Fitting the negative binomial distribution to biological data," Biometrics 9, 176-200. User: Cochran (1954). Note: Included before the bibliography is "Note on the Efficient Fitting of the Negative Binomial," by R. A. Fisher, pp. 197-199. OP Bliss, C. I. (1960), "Some statistical aspects of preference and related tests," Applied Statistics 9, 8-17. AM Bliss, C. I., E. D. Anderson, and R. E. Marland (1943), "A technique for testing consumer preferences with special reference to the constituents of ice cream," Bulletin 251, Storrs Agricultural Experiment Station, 20. Users: Ehrenberg (1951), Bliss, Greenwood, and McKendrick (1953), Jessop (1955), Bliss (1960), Pendergrass and Bradley (1960). M Bliss, C. I., and D. W. Calhoun (1954), An Outline of Biometry, Yale Cooperative Corporation, New Haven, Connecticut, x, 272, xvi, 18 tables, 5 figures. Review: /. Amer. Statist. Assoc. (1955) 975-979. Users: Slobodkin and Richman (1956). Note: Not seen. A Bliss, C. I., Mary L. Greenwood, and M. H. McKendrick (1953), "A comparison of scoring methods for taste tests with mealiness of potatoes," Food Technology 7, 491-495. User: Bliss (1960). MO Bliss, C. I., Mary L. Greenwood, and Edna Sakamoto White (1956), "A rankit analysis of paired comparisons for measuring the effect of sprays on flavor," Biometrics 12, 381-403. Review: MR (1957) 774. User: Bliss (1960). GO Block, H. D., and J. Marschak (1960), "Random orderings and stochastic theories of response," Contributions to Probability and Statistics: Essays in Honor of Harold Hotelling, Ingram Olkin, et al., eds., Stanford University Press, Stanford, California, 97-132. User: Brunk (1960). Note: Also as Discussion Paper No. 66 (1959), Cowles Commission for Research in Economics, Yale University. M 45

BLOEMENA

Bloemena, A. R. (1960), On Probability Distributions Arising From Points on a Graph, Report S 266, Mathematical Center, Amsterdam, 14. Review: 1JA (1960) 540. User: Eeden and Bloemena (1959). IN Blom, Gunnar (1954), "Transformations of the binomial, negative binomial, Poisson and x 2 distributions," Biometrica 41, 302-316. Review: MR (1955) 940. User: Blom (1958). Ν Blom, Gunnar (1956), "On linear estimates with nearly minimum variance," Ar\iv for Matemati\ 3, 365-369. Review: MR (1957) 956. Users: Blom (1958), Plackett (1959). L Blom, Gunnar (1958), Statistical Estimates and Transformed Beta-variables, John Wiley, New York, 176. Reviews: S\andinavis\ A\tuarietids\rift (1957) 234, Metrica (1959) 247, MR (1959) 339, American Mathematical Monthly (1960) 818, Biometrica (1960) 210. User: Kimball (1960). AL Blomqvist, Nils (1950), "On a measure of dependence between two random variables," Ann. Math. Statist. 21, 593-600. Reviews: MR (1951) 510, Math. Tables Aids Comput. (1952) 153. Users: Walter (1951), Kendall and Sundrum (1953), Ruist (1954), Stuart (1954c), Konijn (1956, 1959). JNP Blomqvist, Nils (1951), "Some tests based on dichotomization," Ann. Math. Statist. 22,362-371. Reviews: MR (1952) 143, Math. Tables Aids Comput. (1952) 83. Users: Kendall and Sundrum (1953), Mosteller (1953), Dantzig and Hemelrijk (1954), Munter (1955). GNP Blomqvist, Nils, "Rank analysis of incomplete block designs." Abstract: 111 International Biometrie Conference (Bellagio, 1-5, September 1953). G Blum, Julius R. (1955a), "On the convergence of empiric distribution functions," Ann. Math. Statist. 26, 527-529. Review: MR (1956) 48. User: Wolfowitz (1960). EN Blum, Julius R. (1955), "A note on estimating distribution functions," Proceedings of the American Mathematical Society 6, 953-957. Review: MR (1956) 499. E Blum, Julius R., "Consistency and optimum properties of some two-sample tests." Abstract: Ann. Math. Statist. (1956) 208. F Blum, Julius R. (1958), Research in Unbiased Estimation, Integral Equations with Unknown Distribution Functions, and Non-parametric Methods, Interim Technical Report No. 8 (DA-33-008-ORD-965), Indiana University Foundation Research Division, 12. IN Blum, Julius R., and N. A. Fattu (1954), "Nonparametric methods," Review of Educational Research 24, 467-487. Users: Moses (1953), Savage (1957a), Tate and Clelland (1957), Savage (1958), Sawrey (1958). Note: Extensive bibliography. A 46

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Blum, Julius Α., and Lionel Weiss (1957), "Consistency of certain twosample tests," Ann. Math. Statist. 28, 242-246. Review: MR (1957) 956. Users: Chernoff and Savage (1958), Weiss (1958a, 1960). FN Blumen, Isadore (1957), "On the ranking problem," Psychometri\a 22, 17-27. Review: MR (1958) 991. IN Blumen, Isadore (1958), "A new bivariate sign test," J. Amer Statist. Assoc. 53, 448-456. Abstract: Ann. Math. Statist. (1957) 1066. Review: QCAS (1958) 905. G Blyth, Colin R. (1958), "Note on relative efficiency of tests," Ann. Math. Statist. 29, 898-903. Reviews: MR (1959) 814, QCAS (1959) 563. User: McLemore (1959). BG Blyth, Colin R., and David W. Hutchinson (1960), "Table of Neymanshortest unbiased confidence intervals for the binomial parameter," Biometrica 47, 381-391. GP Bock, R. D. (1956), "The selection of judges for preference testing," Psychometrika 21, 349-366. O Bodman, G. Β., D. E. Johnson, and W. H. Kruskal (1958), "Influence of VAMA and of depth of rotary hoeing upon infiltration of irrigation water," Proceedings of the Soil Science Society of America 22, 463-468. Note: Sign and Friedman tests. O Bofinger, Eve, and V. J. Bofinger (1958), "On a periodic property of pseudorandom sequences," Journal of the Association for Computing Machinery 5,261-265. O Bond, R. R. (1957), "Ecological distribution of breeding birds in the upland forests of southern Wisconsin," Ecological Monographs 27, 351-384. Note: Rank correlation. O Boneau, C. A. (1960), "The effects of violations of assumptions underlying the /-test," Psychological Bulletin 57, 49-63. Reviews: If A (1960) 584, QCAS (1960) 473. Κ Bonferroni, Carlo E. (1940), "Di un coefficiente di correlazione simultanea," Atti del Secondo Congresso dell'Unione Matematica Italiana (Bologna), Edizioni Cremonense, Rome, 1942, 707-714. Review: MR (1947) 474. Note: Not seen. / Bonferroni, Carlo E. (1941), "Corrélation et interpolation," Journal de la Société Hongroise de Statistique 19, 175-185. / Bonnier, Gert (1952), "The four-fold table and the heterogeneity test," Science 96, 13-14. Review: MR (1953) 26. H Borei, Émile (1933), "Sur un problème élémentaire de probablité et la quasi périodicité de certains phénomènes arithmétiques," Comptes Rendus (Paris) 196, 881-882. IN Borei, Émile (1958), Traité du Calcul des Probabilités et de ses Applications 47

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Volume 1, Section 1, Gauthier-Villars, Paris. Note: See pp. 106-148. C Börsting, Jack, "On the addition of chi-squares." Abstract: Ann. Math. Statist. (1952) 480. E Borts, G. H. (1960), "Regional cycles of manufacturing employment in the United States, 1914-1953," /. Amer. Statist. Assoc. 55, 151-211. Note: Uses rank analysis of variance and rank correlation. O Bose, R. C. (1946), "The patch number problem," Science and Culture 12, 199-200. Review: MR (1947) 389. Users: Bose (1950), Krishna Iyer (1950a), Kuipers (1957). IN Bose, R. C. (1950), "On a problem of two dimensional probability," Sankhyä 10, 13-28. Review: MR (1951) 113. IN Bose, R. C. (1956), "Paired comparison designs for testing concordance between judges," Biometrica 43, 113-121. Reviews: MR (1956) 1102, /. Amer. Statist. Assoc. (1956) 653, QCAS (1956) 617. Users: Wilkinson (1957), H . A . David (1959). G Bose, R. C., and Shanti S. Gupta (1959), "Moments of order statistics from a normal population," Biometrica 46, 433-440. Review: MR (1961) 185. L Bottema, O., and S. C. van Veen (1943), "Calculation of probabilities in the game of billiards. I," Nieuw Archiej voor Wis\unde (2) 22, 15-33. Dutch. Review: MR (1946) 209. User: Feller (1957). Ν Bottema, O., and S. C. van Veen (1946), "Calculation of probabilities in the game of billiards. II," Nieuw Archiej voor Wis\unde (2) 22, 123-158. Dutch. Review: MR (1947) 470. User: Feller (1957). Ν Bourdo, Ε. Α., Jr. (1956), "A review of the general land office survey and of its use in quantitative studies of former forests," Ecology 37, 754-768. Note: Wilcoxon signed-rank test. 0 Bowker, Albert H. (1944), "Note on consistency of a proposed test for the problem of two samples," Ann. Math. Statist. 15, 98-101. Review: MR (1945) 10. Users: Wolfowitz (1949), Janko (1950), Walter (1951), Munter (1955). F Bowker, Albert H. (1948), "A test for symmetry in contingency tables," /. Amer. Statist. Assoc. 43, 572-574. Users: Mosteller and Tukey (1949a), Stuart (1955b), Kullback (1959). H Bowley, Arthur L. (1920), Elements of Statistics, 4th ed., P. S. King and Son, London (Scribner's, New York), xi, 459. Users: Fisher (1922, 1923), Julin ( 1935). Note: See pp. 367-374 and Ch. 10. First edition 1901. HF Box, G. E. P. (1953), "Non-normality and tests on variances," Biometrica 40, 318-335. Review: MR (1954) 453. Users: D. R. Cox (1954), Box and Andersen (1955), L. V. Jones (1955), Hoefíding (1956), Schefïé (1956), Dixon and Massey (1957), Katona (1957), H. A. David (1958a), B. Sukhatme (1958), V. Bradley (1959b), Scheiïé (1959), Boneau (1960), Levene (1960), Siegel and Tukey (1960). KP 48

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Box, G. E. P. (1954a), "Some theorems on quadratic forms applied in the study of analysis of variance problems, I. Effect of inequality of variance in the one-way classification," Ann. Math. Statist. 25, 290-302. Review: MR (1954) 884. Users: Box (1954b), Box and Andersen (1955), Moses (1956), Schefïé (1956), J. V. Bradley (1959b), Schefïé (1959), Boneau (I960), Bhat (1961). Κ Box, G. E. P. (1954b), "Some theorems on quadratic forms applied in the study of analysis of variance problems, II. Effects of inequality of variance and of correlation between errors in the two-way classification," Ann. Math. Statist. 25, 484-198. Review: MR (1955) 271. Users: Lubin (1954), Box and Andersen (1955), Schefïé (1956, 1959), Boneau (1960). Κ Box, G. E. P., and S. L. Andersen (1955), "Permutation theory in the derivation of robust criteria and the study of departures from assumptions," /. Roy. Statist. Soc. (Β) 17, 1-34. Abstract: Biometrics (1954) 303. Review: J. Amer. Statist. Assoc. (1956) 371. Users: Bliss, Greenwood, and White (1956), Geary (1956), Schefïé (1956), Β. Sukhatme (1957), Wallace (1957), Watson (1957), Chapman (1958), Schefïé (1959), Tukey (1959), Wallace (1959), Boneau (1960), Levene (1960). Note: With discussion. BGKN Bradley, James V. (1956a), Eßect of Gloves on Control Operation Time, WADC Technical Report 56-532, Wright Air Development Center, Wright-Patterson Air Force Base, Ohio (ASTIA No. AD 110565). User: V. Bradley (1957). Note: Wilcoxon procedures. O Bradley, James V. (1957), Glove Characteristics Influencing Control Manipulability, WADC Technical Report 57-389, Wright Air Development Center, Wright-Patterson Air Force Base, Ohio (ASTIA No. AD 130-836), iv, 25. Note: Kendall's τ and Wilcoxon one-sample. O Bradley, James V. (1959a), Studies in Research Methodology; I. Compatibility of Psychological Measurements with Parametric Assumptions, WADC Technical Report 58-574 ( I ) , Wright Air Development Center, Wright-Patterson Air Force Base, Ohio, iv, 20. User: J. V. Bradley (1959b). Κ Bradley, James V. (1959b), Studies in Research Methodology: lì. Consequences of Violating Parametric Assumptions—Fact and Fallacy, WADC Technical Report 58-574 ( I I ) , Wright Air Development Center, WrightPatterson Air Force Base, Ohio, iii, 33. Κ Bradley, James V., and Jules Arginteanu (1956b), Optimum Knob Diameter, W A D C Technical Report 56-96, Wright Air Development Center, Wright-Patterson Air Force Base, Ohio (ASTIA No. AD 110549). User: J. V. Bradley (1957). Note: Wilcoxon and Friedman's procedures. O Bradley, Ralph Allan (1952a), "The distribution of the t and F-statistics for a class of non-normal populations," Virginia Journal of Science 3, 1-32. Review: MR (1952) 665. Users: R. A. Bradley (1952b), Terry, 49

BRADLEY

Bradley, and Davis (1952), J. V. Bradley (1959b). Κ Bradley, Ralph Allan (1952b), "Corrections for nonnormality in the use of the two-sample ¿-and F-tests at high significance levels," Ann. Math. Statist. 23, 103-113. Review: MR (1952) 665. User: J. V. Bradley (1952b). GK Bradley, Ralph Allan, "On the teaching of statistics: non-parametric methods in the elementary statistics course." Abstract: /. Amer. Statist. Assoc. (1953a) 632. A Bradley, Ralph Allan, "Some large-sample results on estimation and power for a method of paired comparisons." Abstract: Ann. Math. Statist. (1953b) 688. User: Abelson and Bradley (1954). GM Bradley, Ralph Allan (1953c), On Statistical Methods for Sensory Difference Tests of Food Quality, Bi-annual Report No. 6, Department of Statistics, Virginia Polytechnic Institute, Blacksburg. Note: Not seen. AM Bradley, Ralph Allan (1953d), "Some statistical methods in taste testing and quality evaluation," Biometrics 9, 22-38. Users: R. A. Bradley (1953c), Bradley and Somerville (1953), Abelson and Bradley (1954), R. A. Bradley (1954a, 1954b), Hopkins (1954), R. A. Bradley (1955a), Bliss, Greenwood, and White (1956), Bradley and Kramer (1956), Dykstra (1956), Jackson and Fleckenstein (1957), Kirkpatrick, et al. (1957), Brunk (1958), Starks and David (1959), Bliss (1960), Brunk (1960). Note: Extensive, classified bibliography. AG Bradley, Ralph Allan (1954a), "Incomplete block rank analysis: on the appropriateness of the model for a method of paired comparisons," Biometrics 10, 375-390. Users: R. A. Bradley (1954b), Hopkins (1954), R. A. Bradley (1955a, 1955b, 1955d), Gridgeman (1955), Bradley and Kramer (1956), Dykstra (1956), Cusimano (1957), Jackson and Fleckenstein (1957), Pendergrass and Bradley (1957), Wilkinson (1957), R. A. Bradley (1959), Starks and David (1959), Dykstra (I960), Pendergrass and Bradley (1960). GM Bradley, Ralph Allan (1954b), "Rank analysis of incomplete block designs. II. Additional tables for the method of paired comparisons," Biometrica 41, 502-537. Review: MR (1956) 57. Users: Abelson and Bradley (1954), R. A. Bradley (1955a, 1955b, 1955d), Bradley and Kramer (1956), Dykstra (1956), Jackson and Fleckenstein (1957), Pendergrass and Bradley (1957), Wilkinson (1957), H. A. David (1959), Pendergrass and Bradley (1959), Starks and David (1959), Dykstra (1960), Bradley and Pendergrass (1960), Dykstra (1960). GP Bradley, Ralph Allan (1955a), "Rank analysis of incomplete block designs. III. Some large-sample results on estimation and power for a method of paired comparisons," Biometrica 42, 450-470. Reviews: MR (1956) 1103, J. Amer. Statist. Assoc. (1956) 371. Users: Bradley and Kramer (1956), Dykstra (1956), Hannan (1956), Cusimano (1957), Jackson and Fleck50

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enstein (1957), Wilkinson (1957), Elteren and Noether (1959), Pendergrass and Bradley (1959), Starks and David (1959), Bradley and Pendergrass (I960), Dykstra (1960). GN Bradley, Ralph Allan (1955b), "Some notes on the theory and application of rank order statistics. Part I," Industrial Quality Control 11 (5), 12-16. Users: R. A. Bradley (1955d), Bradley and Kramer (1956), Savage (1958). A Bradley, Ralph Allan (1955c), "The statistical sign test," Chapter II of mimeographed notes, Virginia Polytechnic Institute, Blacksburg, 57. Note: Not seen. AGP Bradley, Ralph Allan (1955d), "Some notes on the theory and application of rank order statistics. Part II," Industrial Quality Control 11 (6), 5-9. User: A. Kramer (1956a). A Bradley, Ralph Allan, and D. B. Duncan (1950), Statistical Methods for Sensory Difference Tests of Food Quality, Bi-Annual Report No. 1 from Virginia Agricultural Experiment Station, Blacksburg. Users: Terry, Bradley, and Davis (1952), Savage (1957a). Note: Not seen. AM Bradley, Ralph Allan, and C. Y. Kramer (1956), Statistical Techniques for Sensory Testing of Processed Foods, Progress Report No. 3, Department of Statistics, Virginia Polytechnic Institute, Blacksburg. Note: Not seen. AM Bradley, Ralph Allan, and R. N. Pendergrass (1960), "Ranking in triple comparisons," Bulletin de l'Institut International de Statistique 37, 229— 241. French summary. Review: IfA (1961) 541. MN Bradley, Ralph Allan, T. S. Russell, and C. Y. Kramer (1957), Statistical Techniques for Sensory Testing of Processed Foods, Final Report, Department of Statistics, Virginia Polytechnic Institute, Blacksburg. Note: Not seen. MO Bradley, Ralph Allan, and D. W. Schumann (1956), Statistical Techniques for Sensory Testing of Processed Foods, Progress Report No. 2, Department of Statistics, Virginia Polytechnic Institute, Blacksburg. Note: Not seen. MO Bradley, Ralph Allan, and P. N. Somerville (1953), On Statistical Methods for Sensory Difference Tests of Food Quality, Bi-Annual Report No. 7, Department of Statistics, Virginia Polytechnic Institute, Blacksburg. Note: Not seen. MO Bradley, Ralph Allan, and P. N. Somerville (1954), On Statistical Methods for Sensory Difference Tests of Food Quality, Bi-Annual Report No. 8, Department of Statistics, Virginia Polytechnic Institute, Blacksburg. Note: Not seen. MO Bradley, Ralph Allan, and P. N. Somerville (1955), Statistical Techniques for Sensory Testing of Processed Foods, Progress Report No. 1, Department of Statistics, Virginia Polytechnic Institute, Blacksburg. User: 51

BRADLEY

Jackson and Flcckenstein (1957). Note: Not seen. MO Bradley, Ralph Allan, and M. E. Terry (1951a), Statistical Methods for Sensory Difference Tests of Food Quality, Bi-Annual Report No. 2 from Virginia Agricultural Experiment Station, Blacksburg. Users: Schefïé (1952), Terry, Bradley, and Davis (1952). Note: Not seen. AM Bradley, Ralph Allan, and M. E. Terry (1951b), Statistical Methods for Sensory Difference Tests of Food Quality, Bi-Annual Report No. 3 from Virginia Agricultural Experiment Station, Blacksburg. Note: Not seen. M Bradley, Ralph Allan, and M. E. Terry (1952a), "Rank analysis of incomplete block designs. I. The method of paired comparisons," Biometrica 39, 324-345. Abstract: Ann. Math. Statist. (1952) 299-300. Reviews: MR (1954) 17, MR (1956) 56. Users: Bradley and Terry (1952c), Davis (1952), Terry, Bradley, and Davis (1952), R. A. Bradley (1953c), Bradley and Somerville (1953), Abelson and Bradley (1954), R. A. Bradley (1954a, 1954b), Calvin (1954), R. A. Bradley (1955a, 1955b, 1955d), Gridgeman (1955), Jessop (1955), L. V. Jones (1955), Bliss, Greenwood, and White (1956), Bradley and Kramer (1956), Dykstra (1956), Cusimano (1957), Finley and Johnston (1957), Jackson and Fleckenstein (1957), Mallows (1957), Pendergrass and Bradley (1957), Wilkinson (1957), Brunk (1958), Noether (1958), Block and Marshak (1959), H. A. David (1959), Pendergrass and Bradley (1959), Brunk (I960), Dykstra (1960), Glenn (1960), Noether (1960), Pendergrass and Bradley (1960). GP Bradley, Ralph Allan, and M. E. Terry (1952b), Ran\ Analysis of Incomplete Bloc\ Designs. II. The Method for Blocks of Three, Bi-Annual Report No. 4, Virginia Agricultural Experiment Station, Blacksburg. Abstract: Ann. Math. Statist. (1952) 300. Users: Bradley and Terry (1952b), Pendergrass and Bradley (1957, 1959), Block and Marshak (I960), Glenn (1960), Pendergrass and Bradley (1960). Note: Not seen. G Bradley, Ralph Allan, and M. E. Terry (1952c), Statistical Methods for Sensory Difference Tests of Food Quality, Bi-Annual Report No. 4 from Virginia Agricultural Experiment Station, Blacksburg. Note: Not seen. G Bragiel, Raymond M., and Charles C. Perkins, Jr. (1954), "Conditioned stimulus intensity and response speed," Journal of Experimental Psycholo g y 47,437-441. O Brandauer, Carl M. (1953), "A confirmation of Webb's data concerning the action of irrelevant drives," Journal of Experimental Psychology 45, 150152. Note: Uses Festinger-Wilcoxon. O Bray, J. R. (1956), "A study of mutual occurrence of plant species," Ecology 37, 21-28. Note: x2 test for association and rank correlation method. O Bright, Harold F. (1954), "A method for computing the Kendall tau co52

BROWN

efficient," Educational and Psychological Measurement 14, 700-704. Review: /. Amer. Statist. Assoc. (1956) 160. Users: Cartwright (1957, 1957a). Note: Not seen. / Broadbent, D. E. (1952), "Speaking and listening simultaneously," Journal of Experimental Psychology 43, 267-273. Note: Rank correlation. O Broadbent, S. R. (1956), "A measure of dispersion applied to cosmic-ray and other problems," Proceedings of the Cambridge Philosophical Society 52, 499-513. Note: Multidimensional tests of randomness. 10 Brod, J., L. Pávková, V. Fencl, Z. Hejl, and E. Kratková (1958), "Influence of fasting on the immunological reactions and course of acute glomerulonephritis," Lancet (London) 1, 760-763. Note: H-test. 0 Brogden, Hubert E. (1954), "Statistical theory and research design," Annual Review of Psychology 5, 377-^00. A Brooks, C. E. P., and N. Carruthers (1953), Handbook of Statistical Methods in Meteorology, Her Majesty's Stationery Office, London. Note: See Ch. 16. IO Bross, Irwin D. J., "Applications of non-parametric methods to medical data." Abstract: Biometrics (1953) 260. 0 Bross, Irwin D. J. (1954), "Misclassification in 2 X 2 tables," Biometrics 10, 478-486. Review: /. Amer. Statist. Assoc. (1955) 968. User: Bross and Kasten (1957). H Bross, Irwin D. J. (1954a), "Is there an increased risk?" Federation Proceedings 13, 815-819. Note: A comparison between x 2 and Wilcoxon test for a 2 X \ table with ordered columns. 0 Bross, Irwin D. J. (1958), "Sequential clinical trials," Journal of Chronic Diseases 8, 349-365. Note: Wilcoxon test, in blocks, and with truncated sampling of blocks. O Bross, Irwin D. J., and Marie M. Delaney (1952), "Significance tests for certain 2 X 2 tables," American Journal of Hygiene 55, 357-362. User: Bross and Kasten (1957). H Bross, Irwin D. J., and Ethel L. Kasten (1957), "Rapid analysis of 2 X 2 tables," /. Amer. Statist. Assoc. 52, 18-28. Reviews: QCAS (1957) 885, Math. Tables Aids Comput. (I960) 286. HP Brown, Archibald, and P. J. Stanley (1943), Relation Between Chemical Analysis and Ballistic Limit for Armour Plate, (British) Ministry of Supply Advisory Service on Statistical Method and Quality Control. Technical Report No. Q.C./E/3, Part III. 6 sheets. JO Brown, Byron W., Jr., "Notes on the Spearman-Karber procedures in bioassay." Abstract: Ann. Math. Statist. (1958) 617. GK Brown, G .W., and A. M. Mood (1948), "Homogeneity of several samples," The American Statistician 2 (3), 22. Users: Brown and Mood (1951), Dantzig and Hemelrijk (1954). G Brown, G. W., and A. M. Mood (1951), "On median tests for linear 53

BROWN

hypotheses," Proceedings of the Second Berkeley Symposium on Mathematical Statistics and Probability, University of California Press, Berkeley, 159-166. Users: Daniels (1954), Dantzig and Hemelrijk (1954), Mood (1954), Cox and Stuart (1955), Savage (1957a), Kruskal (in a 1958 review of Tate and Clelland (1957)). G Brown, W. R. J. (1952), "Statistics of color-matching data," Journal of the Optical Society of America 42, 252-256. Note: x2 test of normality. O Brownlee, John (1924), "Some experiments to test the theory of goodness of fit," /. Roy. Statist. Soc. 87, 76-82. Users: Fisher (1924), O. N. Anderson (1935), Kendall (1948), Cochran (1952). EO Brozek, Josef, and Kenneth Tiede (1952), "Reliable and questionable significance in a series of statistical tests," Psychological Bulletin 49, 339341. Note: Combining significance tests. X Brunk, H. D. (1955), "Maximum likelihood estimates of monotone parameters," Ann. Math. Statist. 26, 607-616. Users: Eeden (1957), Hemelrijk (1957), Brunk (1960). G Brunk, H. D. (1958), Mathematical Models for Ranging from Paired Comparisons, Technical Report No. 11 for Air Force Office of Scientific Research, Department of Mathematics, University of Missouri, 33. User: Block and Marshak (1959). GM Brunk, H. D. (1960), An Introduction to Mathematical Statistics, Ginn, New York, xi, 403. Reviews: American Mathematical Monthly (1960) 938, Quarterly of Applied Mathematics (1961) 415. Note: See Sec. 44, 93, 107-116. A Brunk, H. D. (1960a), "Mathematical models for ranking from paired comparisons," J. Amer. Statist. Assoc. 55, 503-519. AM Brunk, Larry (1955), "Test performance as an involuntary function of interpersonal relationships," Journal of Abnormal and Social Psychology 51, 699-701. O Buchanan-Wollaston, H. J. (1938), "A useful statistical test," Nature (Suppl.) 142:1, 160. E Buchwald, Alexander M. (1959), "Extinction after acquisition under different verbal reinforcement combinations," Journal of Experimental Psychology 57, 43-48. Note: Uses Kruskal and Wallis test for three experimental groups. O Buchwald, Alexander M., and Harry G. Yamaguchi (1955), "The effect of change in drive level on habit reverse," Journal of Experimental Psychology 50, 265-268. O Budne, Thomas A. (1959), "The application of random balance designs," Technometrics 1, 139-155. Note: See pp. 144-145 for use of runs. O Buehler, Robert J. (1959), "Some validity criteria for statistical inferences," Ann. Math. Statist. 30, 845-863. Note: See. Sec. 4.1, and 8. Β Burchinal, Lee G. (1957), "Marital satisfaction and religious behavior," 54

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American Sociological Review 22, 306-310. Note: Uses Kruskal-Wallis analysis of variance. 0 Burdick, Eugene (1956), The Ninth Wave, Houghton Mifflin, Boston, x, 332. X Burdick, Harry Α., and Alan J. Burnes (1958), "A test of 'strain toward symmetry' theories," Journal of Abnormal and Social Psychology 57, 367-370. 0 Büros, Oscar Krisen (1941), The Second Yearbook of Research and Statistical Methodology Booths and Reviews, Gryphon Press, Highland Park, New Jersey, 383. Note: See items 70, 109, 110, 111, 112, 113, 115, 132, 163, 171, 214, 276, 277, 278, 302, 309, 342, 343. X Büros, Oscar Krisen (1951), Statistical Methodology Reviews—1941-1950, Wiley, N e w York, 457. Note: See items 1, 9, 75, 94, 103, 109, 116, 117, 118, 119, 120, 121, 122, 123, 124, 126, 165, 178, 188, 189, 191, 200, 214, 228, 236, 238, 247, 249, 279, 323, 324, 326, 329, 332, 333, 336, 337. X Burr, E. J. (1960), " T h e distribution of Kendall's score S for a pair of tied rankings," Biometrica 47, 151-171. Review: MR (1961) 348. JP Burr, Irving W . (1955), "Calculation of exact sampling distribution of ranges from a discrete population," Ann. Math. Statist. 26, 530-532. Abstract: Ann. Math. Statist. (1952) 145. LN Burt, Cyril (1950), " T h e functional analysis of qualitative data," British Journal of Statistical Psychology 3, 166-185. Users: Guttman (1953, 1959).

/ Bush, Robert R., and Frederick Mosteller (1955), Stochastic Models for Learning, Wiley, N e w York, xvi, 365. Users: Goodnow and Pettigrew (1955), Bush and Wilson (1956), Cox (1958), Lewis and Kanarefi (1959), Suppes and Atkinson (1959). Note: Applications of runs and χ 2 . O Bush, Robert R., and Thurlow Wilson (1956), "Two-choice behavior of paradise fish," Journal of Experimental Psychology 51, 315-322. O Buss, Arnold H . (1953), "Rigidity as a function of absolute and relational shifts in the learning of successive discriminations," Journal of Experimental Psychology 45, 153-156. User: Kendler and Amato (1955). O Butler, J. B., and R. C. McCarty, "A lower bound for the distribution of the statistic Dn+." Abstract: Notices of the American Mathematical Society (1960) 80-81. EN Butler, Robert A. (1954), "Incentive conditions which influence visual exploration," Journal of Experimental Psychology 48, 19-23. O Cadwell, J. H . (1952), "The distribution of quantiles of small samples," Biometrica 39, 207-211. Review: MR (1952) 961. User: Cadwell (1953). LNP Cadwell, J. H . (1953), " T h e distribution of quasi-ranges in samples from 55

CALVIN

a normal population," Ann. Math. Statist. 24, 603-613. Users: Elteto (1956), Teichroew (1956), Chu (1957), H. A. David (1958a), Harter (1959). LP Calvin, Allen D. (1953), "The growth of learning during nondifierential reinforcement," Journal of Experimental Psychology 46, 248-254. O Calvin, Allen D., and Jean L. Siebel (1954), "A further investigation of response selection in simultaneous and successive discrimination," Journal of Experimental Psychology 48, 339-342. User: Calvin and Williams (1956). Note: "Because of the difficulty of satisfying the /-test assumptions of trait normality and homogeneity of variance, we used Festinger's nonparametric method of testing the difference in performance between Groups I and II."—340. O Calvin, Allen D., and Clarence M. Williams (1956), "Simultaneous and successive discrimination in a single-unit hollow-square maze," Journal of Experimental Psychology 52, 47-50. O Calvin, Lyle D. (1954), "Doubly balanced incomplete block designs for experiments in which the treatment effects are correlated," Biometrics 10, 61-88. Users: Bradley and Kramer (1956), Cusimano (1957). G Cameron, J. M., "Results of some tests of randomness on pseudo-random numbers." Abstract: Ann. Math. Statist. (1952) 138. 10 Camp, Burton H. (1922), "A new generalization of Tchebychefï's statistical inequality," Bull. Amer. Math. Soc. 28, 427-432. Users: Narumi (1923), Shohat (1929), C. D. Smith (1930), Fréchet (1931), O. N. Anderson (1935), C. D. Smith (1939), Leser (1942), Wilks (1943), Bignardi (1947a), Theil (1949), Curtiss (1950), Dantzig (1951b), E. B. Wilson (1952), C. D. Smith (1955). CP Camp, Burton H. (1923), "Note on Professor Narumi's paper," Biometrica 15, 421-423. Users: Narumi (1923), Camp (1948). C Camp, Burton H. (1929), "The multinomial solid and the chi test," Transactions of the American Mathematical Society 31, 133-144. EN O Camp, Burton H. (1938), "Further interpretations of the chi-square test," /. Amer. Statist. Assoc. 33, 537-542. Users: Berkson (1938), Deming (1938), Fry (1938). E Camp, Burton H. (1942), "Some recent advances in mathematical statistics, I," Ann. Math. Statist. 13, 62-73. Review: MR (1943) 24. Note: See part IV. A Camp, Burton H. (1946), "The effect on a distribution function of small changes in the population function," Ann. Math. Statist. 17, 226-231. Review: MR (1947) 44. Users: R. A. Bradley (1952b), J. V. Bradley (1959b). BK Camp, Burton H. (1948), "Generalization to Ν dimensions of inequalities 56

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of the Tchebycheff type," Ann. Math. Statist. 19, 568-574. Review: MR (1949) 384. Users: Godwin (1955), C. D. Smith (1955). CP Campbell, W. E. (1942), "Use of statistical control in corrosion and contact resistance studies," Transactions of the Electrochemical Society 81, 377— 390. English; Spanish summary. User: Wolfowitz (1943). Note: Runs up and down. 10 Cantelli, F. P. (1910), "Intorno ad un teorema fundamentale della teoria del rischio," Bolletino dell' Associazione degli Attuari Italiani (Milan), 1-23. Users: Cantelli (1911, 1928), Fréchet (1931), Beretta (1941), Bignardi (1947a), Godwin (1955). Note: Not seen. C Cantelli, F. P. (1911), "Intorno ad un teorema di calcolo della probabilità," Giornale di Matematiche de Battaglini (Napoli) 49, 341-352. User: Beretta (1941). C Cantelli, F. P. (1928), "Sui confini della probabilità," Atti del Congresso Internazional del Matematici (Bologna, 3-10 Settembre 1928) 6, 47-59. User: Beretta (1941). AC Cantelli, F. P. (1958), Alcune Memorie Mathematiche, Publications Facoltà Economia e Commercio, Università di Roma, Milano: A Guiffre, xxx, 448. Review: J. Amer. Statist. Assoc. (1959) 827. C Capon, Jack (1959), Nonparametric Methods for the Detection of Signals and Noise, Technical Report No. T - l / N , Dept. of Electrical Engineering, Columbia University, New York, 228. Errata: sheet available. Users: Capon (1959a, 1961). BGN Capon, Jack (1959a), "A nonparametric technique for the detection of a constant signal in additive noise," Institute of Radio Engineers Weson Convention Record, Part 4, August 1959, 92-103. G Capon, Jack (I960), "Optimum coincidence procedures for detecting weak signals in noise," Institute of Radio Engineers International Convention Record, Part 4, March 1960, 154-166. G Capon, Jack (1961), "Asymptotic efficiency of certain locally most powerful rank tests," Ann. Math. Statist. 32, 88-100. BG Carlton, A. George (1946), "Estimating the parameters of a rectangular distribution," Ann. Math. Statist. 17, 355-358. Review: MR (1947) 41. Users: Gumbel (1947), Wilks (1948), Kendall (1958), Kendall and Stuart (1958). Ν Carter, R. E., Jr. (1958), "Newspaper 'Gatekeepers' and the sources of news," Public Opinion Quarterly 22, 133-144. O Cartwright, Desmond S. (1956), "A rapid non-parametric estimate of multijudge reliability," Psychometri\a 21, 17-29. Review: QCAS (1956) 1091. User: Goodman and Kruskal (1959). G Cartwright, Desmond S. (1957), "A computational procedure for Tau 57

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correlation," Psychometrika 22, 97-104. Review: MR (1958) 74. User: Cartwright (1957a). JO Cartwright, Desmond S. (1957a), "A note concerning Kendall's Tau," Psychological Bulletin 54, 423^25. / Carvalho, Pedro E. de Oliveira (1959), "On the distribution of the Kolmogoroff-Smirnofï D-statistic," Ann. Math. Statist. 30, 173-176. Review: IJA (1960) 617. EN Casanova, Teobaldo (1944), "The use of the method of runs for testing the randomness of the order of examination items," Journal of Experimental Education 12, 165-168. O Castell, C. H., and M. F. Greenough (1958), "Grading fish for quality. 3. Grading of recently cut fillets," Journal of the Fisheries Research Board of Canada 14, 729-748. Note: Not seen. Spearman correlation with tied ranks, p. 747. O Castellano, Vittorio (1934), "Sullo scarto quadratico medio della probabilità di transvariazone," Metron 11, 19-75. Users: Ottaviani (1939), Kruskal G v (1957). Ceri, Pin (1958), "The number of non-negative jump points of an empirical distribution function," Acta Mathematica Sinica 8, 333-347. Review: MR EN v (1960) 828. Note: Not seen. Centsov, N. (1956), "La convergence faible des processus stochastiques à trajectoires sans discontinuités de seconde espèce et l'approche dite 'heuristique' au tests du type de Kolmogorov-Smirnov," Teoriya Veroyatnostei i e'é Primeneniya 1, 155-161. Russian; French summary. Review: MR (1957) 831. User: Fisz (1960). Ν Cervin, Vladimir (1956), "Individual behavior in social situations: its relation to anxiety, neuroticism, and group solidarity," Journal of Experimental Psychology 51,161-168. 0 Chacón, P. Enrique (1956), Curso de Estadística, Bilbao, Spain: Editorial El Mensajero del Corazón de Jésus (S. I. Volumen IV de Publicaciones de la Universidad de Deusto.), xvi, 526. Review: /. Amer. Statist Assoc. (1957) 387-388. Note: Not seen. A Chakrabarti, M. C. (1946), "A note on skewness and kurtosis," Bulletin of the Calcutta Mathematical Society 38, 133-136. Review: MR (1947) 393. User: Kerawala (1948). X Chakrabarti, M. C. (1947), "On the inadequacy of measuring the peakedness of a distribution curve by the standardized fourth moment," Bulletin of the Calcutta Mathematical Society 39, 154-156. Review: MR (1949) 50. X Chakravarti, I. M., and C. Radhakrishna Rao (1959), "Tables for some small sample tests of significance for Poisson distributions and 2 X 3 contingency tables," San\hyä 21, 315-326. Reviews: QCAS (1960) 131, 58

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IJA (1961) 66, MR (1961) 184. HP Chambers, E. G. (1946), "Statistical techniques in applied psychology," Biometrica 33, 269-273. Users: Kendall (1947), Whitfield (1947), Kendall (1955b). O Chandler, K. N. (1952), "The distribution and frequency of record values," /. Roy. Statist. Soc. (B) 14, 220-228. Review: Math. Tables Aids Comput. (1954) 80. User: Foster and Stuart (1954). LNP Chandra Sekar, C., S. P. Agarwala, and P. N. Chakraborty (1955), "On the power function of a test of significance for the difference between two proportions," San\hyä 15, 381-390. Review: MR (1956) 758. GH Chandra Sekar, C., and Mary G. Francis (1941), "A method to get the significance limit of a type of test criterion," San\hyâ 5, 165-168. Review: MR (1943) 165. LN Chang, Li-chien (1955a), "On the ratio of an empirical distribution function to the theoretical distribution function," Acta Mathematica Sinica 5, 347-368. Chinese; English summary. Review: MR (1956) 865. Note: Not seen. EN Chang, Li-chien (1955b), "On the precise distribution of Smirnov statistic and its asymptotic expansion," Progress of Mathematics I (4), 775. Chinese. Note: Not seen. EN Chang, Li-chien (1956a), "On the precise distribution of A. N. Kolmogorofï and its asymptotic analysis," Acta Mathematica Sinica 6, 55-81. Chinese; Russian summary. Review: MR (1958) 188. EN Chang, Li-chien (1956b), "Relative positions between an empirical distribution and the theoretical distribution," Peking University Journal 3, 129. Chinese. Note: Not seen. EN Chang, Li-chien, and M. Fisz (1957a), "Asymptotically independent linear functions of empirical distribution functions," Science Record 1, 335-340. Review: MR (1960) 724. Users: Chang and Fisz (1957b), Kiefer (1959), Fisz (1960). GN Chang, Li-chien, and M. Fisz (1957b), "Exact distributions of the maximal values of some functions of empirical distribution functions," Science Record 1, 343-346. Review: MR (1960) 724. Users: Chang and Fisz (1957a), Kiefer (1959), Fisz (I960). Note: Several sample KolmogorovSmirnov statistics. GN Chapelon, Jacques M. (1937), "Sur l'inégalité fondamentale du calcul des probabilités," Bulletin de la Société Mathématique de France (Paris) 65, 100-108. User: Godwin (1955). C Chapin, F. Stuart (1955), Experimental Designs in Sociological Research, rev. ed., Harper, New York, xii, 297. Review: /. Amer. Statist. Assoc. (1956) 666-667. Note: See Ch. 9. First edition 1947. A Chaplin, W. S. (1880), "The relation between the tensile strengths of long 59

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and short bars," Van Nostrand's Engineering Magazine 23, 441-444. LO Chaplin, W. S. (1882), "On the relative tensile strength of long and short bars," Proceedings of the Engineer's Club (Philadelphia) 3, 15-28. LO Chapman, Douglas G. (1952), "Inverse, multiple and sequential censuses," Biometrics 8, 286-306. 0 Chapman, Douglas G. (1958), "A comparative study of several one-sided goodness-of-fit tests," Ann. Math. Statist. 29,655-674. Review: MR (1961) 52. Users: Capon (1959), Dempster (1959), Ishii (1959a), Lehmann (1959), Pyke (1959), Quade (1959). E Chapman, Douglas G., "On a limiting distribution due to Rényi." Abstract: Ann. Math. Statist. (1958a) 1282. EN Chapman, Dwight (1934), "The statistics of the method of correct matchings," American Journal of Psychology 46, 287-298. Users: Dwight Chapman (1935), Olds (1938b), Battin (1942), T. W. Anderson (1943), C. Y. Kramer (1955). MN Chapman, Dwight (1935), "The generalized problem of correct matchings," Ann. Math. Statist. 6, 85-95. Users: Kendall (1948), C. Y. Kramer (1955, 1956). MNP Charley, Helen (1950), "Effect of baking pan material on heat penetration during baking and on quality of cakes made with fat," Food Research 15, 155-167. O Charley, Helen (1952), "Effects of internal temperature and of oven temperature on the cooking losses and the palatability of baked salmon steaks," Food Research 17, 136-143. O Chassan, J. B. (1960), "On a test for order (Note 145)," Biometrics 16, 119-121. Review: QCAS (1960) 741. H Cheatham, P. G. (1952), "Visual perceptual latency as a function of stimulus brightness and contour shape," journal of Experimental Psychology 43, 369-380. Note: Sign test. O Chernikoff, Rube, and Franklin Taylor (1957), "Effects of course frequency and aided time constant on pursuit and compensatory tracking," Journal of Experimental Psychology 53, 285-292. Note: Use of Wilcoxon test for paired replicates on p. 287. O Chernoff, Herman (1956), "Large-sample theory: parametric case," Ann. Math. Statist. 21, 1-22. Review: MR (1956) 869. Users: Chernoff and Rubin (1956), Ferguson (1958), Okamoto (1959). Note: See Theor. 2 and p. 6. Ν Chernoff, Herman, and E. L. Lehmann (1954), "The use of maximum likelihood estimates in x 2 tests for goodness of fit," Ann. Math. Statist. 25,579-686. Abstract: Ann Math. Statist. (1953) 684. Review: MR (1955) 384. Users: Kac, Kiefer, and Wolfowitz (1955), Barton (1956a), Moses 60

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(1956), A. R. Roy (1956), Watson (1957a, 1958, 1959), Solomon (1960). EG Chernoff, Herman, and Herman Rubin (1956), "The estimation of the location of a discontinuity in density," Proceedings of the Third Berkeley Symposium on Mathematical Statistics and Probability, Vol. I, University of California Press, Berkeley, 19-37. Note: See p. 22. G Chernoff, Herman, and I. Richard Savage (1958), "Asymptotic normality and efficiency of certain nonparametric test statistics," Ann. Math. Statist. 29, 972-994. Abstract: Ann. Math. Statist. (1957) 1068. Reviews: IJA (1959) 224, MR (1959) 1109. Users: Capon (1959), Lehmann (1959), Schmetterer (1959), Hodges and Lehmann (1960), Capon (1961). BN Chernoff, Herman, and Henry Teicher (1958), "A central limit theorem for sums of interchangeable random variables," Ann. Math. Statist. 29, 118-130. Note: See Sec. 5. Ν Chorafas, Dimitris (I960), Statistical Processes and Reliability Engineering, Van Nostrand, Princeton, xiv, 438. Note: See Chs. 8 and 9. A Chou, Chan-Hui (1958), "Least squares," Industrial and Engineering Chemistry 50, 799-802. JO Chow, Y. S. (1960), "A martingale inequality and the law of large numbers," Proceedings of the American Mathematical Society 11, 107111. Review: MR (1961) 526. User: Birnbaum and Marshall (I960). C Chown, L. N., and P. A. P. Moran (1951), "Rapid methods for estimating correlation coefficients," Biometrica 38, 464-467. Review: MR (1952) 667. User: Stuart (1952). / Chu, John T. (1955), "The 'inefficiency' of the sample median for many familiar symmetric distributions," Biometrica 42, 520-521. Review: MR (1956) 169. Users: Kendall (1958), Kendall and Stuart (1958). L Chu, John T. (1957), "Some uses of quasi-ranges," Ann. Math. Statist. 28, 173-180. Review: MR (1957) 956. G Chung, J. H., and D. A. S. Fraser (1958), "Randomization tests for a multivariate two-sample problem," /. Amer. Statist. Assoc. 53, 729-735. Users: Sundrum (1953c), Dwass (1957). GNO Chung, Kai Lai (1946), "The approximate distribution of Student's statistic," Ann. Math. Statist. 17, 447-465. Review: MR (1947) 283. Users: R. A. Bradley (1952a), Wallace (1958), J. V. Bradley (1959b). Κ Chung, Kai Lai (1948), "On the maximum partial sums of sequences of independent random variables," Transactions of the American Mathematical Society 64, 205-233. Review: MR (1949) 132. Note: See pp. 215216. Ν Chung, Kai Lai (1949), "An estimate concerning the Kolmogoroff limit distribution," Transactions of the American Mathematical Society 67, 36-

61

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50. Review: MR (1950) 606. Users: Donsker (1952), Juvancz and Lipták (1952), Wolfowitz (1954b), Kunisawa, Makabe, and Morimura (1955), Blackman (1956), Wolfowitz (1957), Schmid (1958). EN Chung, Kai Lai, and W. Feller (1949), "On fluctuations in coin tossing," Proceedings of the National Academy of Science (USA) 35, 605-608. Review: MR (1950) 444. Users: Gihman (1953b), Gnedenko (1954), Hodges (1955a). Ν Clark, A. L. (1933), "An experimental investigation of probability," Canadian Journal of Research 9, 402-414. User: A. L. Clark (1934). NO Clark, A. L. (1934), "Experimental probability," Canadian Journal of Research 11, 658-664. O Clark, Philip J. (1956), "Grouping in spatial distributions," Science 123, 373-374. Review: QCAS (1956) 233. 10 Clark, Philip J., and Francis C. Evans (1954), "Distance to nearest neighbor as a measure of spatial relationships in populations," Ecology 35, 445453. 0 Clopper, C. J., and Egon S. Pearson (1934), "The use of confidence or fiducial limits illustrated in the case of the binomial," Biometrica 26, 404-413. Users: Thompson (1936), Romanovski (1940), Wilks (1940), Eisenhart and Wilson (1943), Mainland (1948), Noether (1948, 1949b), Lubin (1950), E. S. Pearson (1950a), Walter (1951), Freund (1952), Folger (1953), Katz (1953), E. S. Smith (1953), Walker and Lev (1953), Lamke (1955), Crow (1956), Savage (1957a), Blyth and Hutchison (1960). Ρ Clunies-Ross, Charles W., William A. Glenn, and Leroy S. Breña (1959), Index to the Journal of the American Statistical Association, Volumes 35-50 (1940-1955), American Statistical Association, Washington, D.C., vii, 199. Note: See appropriate entries both in subject and table indexes. A Cochran, William G. (1936), "Statistical analysis of field counts of diseased plants," J. Roy. Statist. Soc. (Β) 3, 49-67. Users: Cochran (1937a, 1938), Moran (1947a), Plank (1947), Bose (1950), Freeman (1953), Cochran (1954), J. V. Bradley (1959b). IKO Cochran, William G. (1937a), "The χ 2 distribution for the binomial and Poisson series, with small expectations," Annals of Eugenics 7, 207-217. Users: Haldane (1937), Welch (1938), Haldane (1940), Eisenhart and Wilson (1943), Mainland (1948), Brass and Delaney (1952), Cochran (1952), Lancaster (1952), Walker and Lev (1953), Cochran (1954), Tsao (1955), J. V. Bradley (1959b). E Cochran, William G. (1937b), "The efficiencies of the binomial series test of significance of a mean and of a correlation coefficient," J. Roy. Statist. Soc. (A) 100, 69-11. Users: Friedman (1937), Wilcoxon (1945), Dixon 62

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and Mood (1946), Cochran (1950), Chown and Moran (1951), R. A. Bradley (1953c), Dixon (1953), Kendall and Sundrum (1953), Mood (1954), Ruist (1954), Sundrum (1954d), R. A. Bradley (1955a, 1955c), Tsao (1955), Walter (1956), Konijn (1957), Kruskal (1958), Wetherill (I960). GJ Cochran, William G. (1938), "An extension of Gold's method of examining the apparent persistence of one type of weather," Quarterly Journal of the Royal Meteorological Society 64, 631-634. Users: Eisenhart and Wilson (1943), Wolfowitz (1943), Moore (1949), Feller (1950, 1957), Olmstead (1958). INO Cochran, William G. (1942), "The χ 2 correction for continuity," Iou/a State College Journal of Science 16, 421-436. Review: MR (1943) 280. Users: Finney (1948), Kendall (1948), Cronbach (1949), P. O. Johnson (1949), Lancaster (1949b), Duncan (1950), F. Adler (1951), Cochran (1952), Goulden (1952), Mainland (1952), Tippett (1952), Walker and Lev (1953), Cochran (1954), Duncan (1955), Yates (1955), Snedecor (1956), J. V. Bradley (1959b). EN Cochran, William G. (1943), "Analysis of variance for percentages based on unequal numbers," J. Amer. Statist. Assoc. 38, 287-301. Review: MR (1945) 92. Users: Ottestad (1952), Cochran (1954). G Cochran, William G. (1950), "The comparison of percentages in matched samples," Biometrica 37, 256-266. Review: MR (1951) 621. Users: McNemar (1949), Blomqvist (1951), McNemar (1952), Williams (1952), Walker and Lev (1953), Hopkins (1954), Gridgeman (1955), Hopkins and Gridgeman (1955), Krishna Iyer and Bhattacharyya (1955), Stuart (1955b), Gridgeman (1956), Peterson (1956), Moonan (1957), Tate and Clelland (1957), D. R. Cox (1958b), Sawrey (1958). GN Cochran, William G. (1952), "The χ 2 test of goodness of fit," Ann. Math. Statist. 23, 315-345. Review: MR (1953) 190. Users: C. C. Craig (1953), Andrews (1954), Brogden (1954), Clark and Evans (1954), Cochran (1954), Goodman (1954b), Stuart (1954a), Armsen (1955), Darling (1955), Duncan (1955), Yates (1955), Snedecor (1956), McCarthy (1957), S. N. Roy (1957), Watson (1957a), Woolf (1957), Mitra (1958), J. I. Rosenblatt (1958), Fix, Hodges, and Lehmann (1959), Goodman (1959, 1959a), Harkness (1959), Lehmann (1959), Watson (1959), Epstein (1960), Bahadur (1960), Billingsley (1961). AEH Cochran, William G. (1954), "Some methods for strengthening the common χ 2 test," Biometrics 10, 417-451. Abstract: /. Amer. Statist. Assoc. (1955) 572. Reviews: /. Amer. Statist. Assoc. (1955) 969, MR (1955) 728. Users: Cochran (1955), Yates (1955), Batson (1956), Moses (1956), Snedecor (1956), Κ. V. Wilson (1956), Dixon and Massey (1957), McCarthy (1957), Tate and Clelland (1957), S. N. Roy (1957), Woolf (1957), 63

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D. R. Cox (1958), Goodman (1958a), Chakravarti and Rao (1959), Fix, Hodges, and Lehmann (1959), Kullback (1959), Lehmann (1959), Quandi (1959), Starks and David (1959), Watson (1959), Weiner (1959), Kastenbaum (1960), Quandt (1960), Mace (1960). EH Cochran, William G. (1955), "A test of linear function of the deviations between observed and expected numbers," J. Amer. Statist. Assoc. 50, 377-397. Users: Fix, Hodges, and Lehmann (1959), Watson (1959). EG Cogburn, Robert (1958), "Lois limites des termes variationnels des sommes normées," Comptes Rendus (Paris) 246, 3408-3410. Review: MR (1959) 2031. L Cohen, Arthur (1959), "Tables for the sign test when observations are estimates of binomial parameters," /. Amer. Statist. Assoc. 54, 784-793. Reviews: QCAS (1960) 623, MR (1961) 53. GP Cohn, Richard, Frederick Mosteller, John W. Pratt, and Maurice Tatsuoka (1960), "Maximizing the probability that adjacent order statistics of samples from several populations form overlapping intervals," Ann. Math. Statist. 31, 1095-1104. Ν Cole, LaMont C. (1945), "A simple test of the hypothesis that alternative events are equally probable," Ecology 26, 203-205. GOP Cole, LaMont C. (1946), "A study of the cryptozoa of an Illinois woodland," Ecological Monographs 16, 49-86. Note: x2 test. O Cole, LaMont C. (1949), "The measurement of interspecific association," Ecology 30, 411-424. Users: Bliss (1953), Goodman and Kruskal (1959). Note: Fisher exact test and Yule's coefficient of association. 0 Cole, LaMont C. (1951), "Population cycles and random oscillations," Journal of Wildlife Management 15, 233-252. Users: L. C. Cole (1954), J. Andersen (1957), L. C. Cole (1957a). 10 Cole, LaMont C. (1954a), "The measurement of interspecific association," Ecology 30, 411-424. Note: Not seen. HO Cole, LaMont C. (1954b), "Some features of random population cycles," Journal of Wildlife Management 18, 2-24. Users: J. Anderson (1957), L. C. Cole (1957a). Note: Mark Kac collaborator. INO Cole, LaMont C. (1957a), "Biological clock in the unicorn," Science 125, 874-876. 7 Cole, LaMont C. (1957b), "The measurement of partial interspecific association," Ecology 38, 226-233. User: Bray (1956). Note: 2 X 2 contingency tables for test of association ( x 2 test). 0 Cole, R. H. (1951), "Relations between moments of order statistics," Ann. Math. Statist. 22, 308-310. Review: MR (1951) 841. User: Bose and Gupta (1959). L Combes, B. (1953), "Le problème de la généralisation de l'inégalité de Bienaymé," Bulletin Trimestriel de l'Institut des Actuaires Français 52, 64

cox 61-69. Review: MR (1954) 541. Note: Not seen. C Conger, John J., William L. Sawrey, and Eugene S. Turrell (1958), "The role of social experience in the production of gastric ulcers in hooded rats placed in a conflict situation," Journal of Abnormal and Social Psychology 57, 214-220. User: Wilson (1956). O Cooper, B. E. (1957), "The effect of ties on the moments of rank criteria," Biometrica 44, 526-527. Review: MR (1958) 782. Ν Correa Polit, H. (1958), "Statistical inference about the parameters of nonnormal populations (confidence intervals)," Trabajos de Estadística 9, 118-140. Spanish. Review: MR (1959) 1108. G Corsten, L. C. A. (1957), "Partition of experimental vectors connected with multinomial distributions," Biometrics 14, 451-484. H Cowles, Alfred, and Herbert E. Jones (1937), "Some a posteriori probabilities in stock market action," Econometrica 5, 280-294. User: Wallis and Moore (1941a). 10 Cox, D. R. (1948), "A note on the asymptotic distribution of range," Biometrica 35, 310-315. Review: MR (1949) 466. Users: Cadwell (1953), Blom (1958), Kendall (1958), Kendall and Stuart (1958). LP Cox, D. R. (1954), "The mean and coefficient of variation of range in small samples from non-normal populations," Biometrica 41, 469-481. Errata: Ibid. (1955) 277. Users: Kendall (1958), Kendall and Stuart (1958). KLP Cox, D. R. (1955), "Some statistical methods connected with series of events," /. Roy. Statist. Soc. (Β) 17, 129-164. Review: MR (1958) 1094. Users: Bartholomew (1956a), D. R. Cox (1958), Billingsley (1961). I Cox, D. R. (1956), "A note on the theory of quick tests," Biometrica 43, 478^480. User: David and Perez (1960). Β Cox, D. R. (1958), "The regression analysis of binary sequences," /. Roy. Statist. Soc. (B) 20, 215-242. Reviews: ¡¡A (1959) 80, MR (1959) 918. User: D. R. Cox (1958b). Note: With discussion. A/O Cox, D. R. (1958a), "Some problems connected with statistical inference," Ann. Math. Statist. 29, 357-372. Users: Buehler (1959), Pratt (1959). Note: See Sec. 6. Β Cox, D. R. (1958b), "Two further applications of a model for binary regression," Biometri\a 45, 562-565. Review: IJA (1959) 79. GH Cox, D. R. (1958c), Planning of Experiments, John Wiley, New York, vii, 308. Review: /. Amer. Statist. Assoc. (I960) 217. Note: See pp. 202-203, novel use of sign test. GM Cox, D. R. (1960), "A note on tests of homogeneity applied after sequential sampling," /. Roy. Statist. Soc. (B) 22, 368-371. User: Savage (1957). Β Cox, D. R., and Alan Stuart (1955), "Some quick sign tests for trend in location and dispersion," Biometrica 42, 80-95. Users: Kendall (1955b), 65

cox Noether (1956), Romani (1956), Savage (1957b), J. V. Bradley (1959), Goodman and Grunfeld (1961). INP Cox, Gertrude M. (1957), "Statistical frontiers," /. Amer. Statist. Assoc. 52, 1-12. Note: See p. 10. A Craig, Allen T. (1932), "On the distribution of certain statistics," American Journal of Mathematics 54, 353-366. Users: Olds (1935), Mood (1941), Wilks (1948). L Craig, Cecil C. (1933), "On the Tchebycheff inequality of Bernstein," Ann. Math. Statist. 4, 94-102. Users: Curtiss (1950), Godwin (1955). C Craig, Cecil C. (1942), "Some recent advances in mathematical statistics, II," Ann. Math. Statist. 13, 74-85. Review: MR ( 1943) 25. A Craig, Cecil C. (1953), "Combination of neighboring cells in contingency tables," /. Amer. Statist. Assoc. 48, 104-112. Reviews: MR (1953) 776, IJA-I (1954) 15. H Cramer, Harald (1924), "Remarks on correlation," S\andinavis\ A\tuarietidshrift 7, 220-240. Users: Stefïensen (1932, 1934), Goodman and Kruskal (1959). / Cramer, Harald (1928a), "On the composition of elementary errors. First paper: Mathematical deductions," S\andinavis\ A\tuarietids\rift 11, 1374. Users: Cramér (1928b), Neyman (1937), Esseen (1942, 1945), Feller (1945), Cramér (1946), Kendall (1948), Bergström (1951), Whidden (1952), Barton (1953), Kendall and Sundrum (1953), Maguire, Pearson, and Wynn (1953), Gnedenko and Kolmogorov (1954), Wallace (1958). Ν Cramér, Harald (1928b), "On the composition of elementary errors. Second paper: Statistical application," S\andinavis\ A\tuarietids\rift 11, 141— 180. Users: Craig (1942), Gumbel (1942), Feller (1945), Cramér (1946), Mises (1947), Kendall (1948), Gayen (1949), Lehmann (1951), Anderson and Darling (1952), Whidden (1952), Barton (1953). ENO Cramér, Harald (1946), Mathematical Methods of Statistics, Princeton University Press, Princeton, New Jersey, xvi, 575. Reviews: MR (1947) 49, Review of Economics and Statistics (1950) 139. Users: 186 users have been recorded. Note: See pp. 182-183, 256, 367-378. ACL Crist, J. W. (1940), "Correlation from ranks for horticultural research," Proceedings of American Society of Horticultural Science 38, 593-595. JO Crist, J. W., and H. L. Seaton (1941), "Reliability of organoleptic tests," Food Research 6, 529-536. MO Crockett, Walter H. (1955), "Emergent leadership in small, decision-making groups," Journal of Abnormal and Social Psychology 51, 378-383. Note: Significance of number in sub-group above and below median of group. O 66

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Cronbach, Lee J. (1949), "Statistical methods applied to Rorschach scores: A review," Psychological Bulletin 46, 393-429. User: Spindler (1955). AO Cronbach, Lee }., and Goldine C. Gleser (1953), "Assessing similarity between profiles," Psychological Bulletin 50, 456-473. User: Manis (1955). AM Crow, Edwin L. (1952), "Some cases in which Yates' correction should not be applied," /. Amer. Statist. Assoc. 47, 303-304. User: J. V. Bradley (1959b). H Crow, Edwin L. (1956), "Confidence intervals for a proportion," Biometrica 43, 423-435. Reviews: 1JA-I (1957) 1303, MR (1958) 1204. Users: Blyth and Hutchison (1960), Pachares (1960). GP Crow, Edwin L., Frances A. Davis, and Margaret W. Maxfield (1960), Statistics Manual, Dover Publications, New York, xvii, 288. Reviews: /. Amer. Statist. Assoc. (1960) 787, Psycho me trilla (1960) 309. Note: Not seen. AP Cureton, Edward E. (1956), "Rank-biserial correlation," Psychometrikfl 21, 287-290. Reviews: MR (1957) 343, QCAS (1957) 95. User: Siegel (1957).

/

Cureton, Edward E. (1958), "The average Spearman rank criterion correlation when ties are present," Psychometri\a 23, 271-272. Review: (1959) 583. / Curtiss, J. H. (1950), "Lot quality measured by average or variability," Acceptance Sampling, American Statistical Association, Washington, D.C., 79-116. Note: See Sec. 9. CO Cusimano, Giovanni (1957), "I piani di sperimentazione con blocchi incompleti ed il metodo dei confronti fra osservazioni accoppiate," Statistica (Bologna) 17, 443-481. Note: Review of Bradley and Terry (1952a). AG Czechowski, T., M. Fisz, T . Iwinski, O. Lange, W. Sadowski, and R. Zasepa (1957), Tablice Statystyczne, Panstwowe Wydawnictwo Naukowe, Warsaw, 158. Review: MR (1958) 780. Note: Not seen. Ρ Dale, H. C. Α. (1960), "A study of subjective probability," British Journal of Statistical Psychology 13, 19-29. O Daly, Joseph F. (1946), "On the use of the sample range in an analogue of Student's /-test," Ann. Math. Statist. 17, 71-74. Review: MR (1946) 464. Users: Walsh (1946d), Lord (1947), Wilks (1948), Tukey (1949b), Walsh (1949b), Patnaik (1950), Pillai (1950, 1951), Gephart (1955), H. A. David (1958a). LP Daniels, H. E. (1944), "The relation between measures of correlation in the universe of sample permutations," Biometri\a 33, 129-135. Review: MR 67

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(1945) 91. Users: Kendall (1945), Daniels and Kendall (1947), Kendall (1947), Hartley (1948), Hoefïding (1948a), Kendall (1948), Mosteller and Tukey (1949a), Moran (1950a), Hoefïding (1951), Moran (1951b), Ehrenberg (1952), Tintner (1952), Stuart (1953, 1954d), Konijn (1956), Mallows (1957), Somers (1959), Farlie (1960). / Daniels, H. E. (1945), "The statistical theory of the strength of bundles of thread. I," Proceedings of the Royal Society of London (A) 183, 405-435. Users: Wilks (1948), A. I. Johnson (1953), Dwass (1959). L Daniels, H. E. (1948), "A property of rank correlations," Biometrica 35, 416-417. Users: Daniels (1950), Moran (1950a), Kendall (1955b). / Daniels, H. E. (1950), "Rank correlation and population models," /. Roy. Statist. Soc. (B) 12, 171-181. Review: MR (1951) 725. Users: Daniels (1951), David, Kendall, and Stuart (1951), Durbin and Stuart (1951), Stuart (1951), Foster and Stuart (1951), Quenouille (1952), Stuart (1953), Sundrum (1953d), Foster and Stuart (1954), Stuart (1954b), Stuart (1956b), Fieller, et al. (1957), Mallows (1957), Brunk (1958), Lehmann (1959), Brunk (1960a), Farlie (1960), Ura (1960b). J Daniels, H. E. (1951), "Note on Durbin and Stuart's formula for E(r s )," J. Roy. Statist. Soc. (B) 13, 310. User: Kendall (1955b). JN Daniels, H. E. (1952), "Statistics and cognate research at the University of Cambridge," Technical Report ONRL-34-52 (prepared by F. S. Weyl), Office of Naval Research, London, 3-4. Note: Not seen. / Daniels, H. E. (1954), "A distribution-free test for regression parameters," Ann. Math. Statist. 25, 499-513. Review: MR (1955) 273. Users: Moses (1956), Kruskal (in a 1958 review of Tate and Clelland (1957)), Hill (I960). KP Daniels, H. E., and M. G. Kendall (1947), "The significance of rank correlations where parental correlation exists," Biometrica 34, 197-208. Review: MR (1948) 364. Users: Hoefïding (1948a), Daniels (1950), Moran (1950a), Durbin and Stuart (1951), Stuart (1953), Sundrum (1953, 1953d), Kendall (1955b), Stuart (1956b), Hoefïding (1958 abstract, 1960). JN Daniels, H. E., and M. G. Kendall (1958), "Short proof of Miss Harley's theorem on the correlation coefficient," Biometrica 45, 571-572. Review: IfA (1959) 82. / Dantzig, George B. (1939), "On a class of distributions that approach the normal distribution function," Ann. Math. Statist. 10, 247-253. Review: MR (1940) 21. Users: Rosander (1942), Hoefïding (1948a), Moran (1948a), Greville (1950), Moran (1950a), Dantzig and Hemelrijk (1954), Kendall (1955b). IN van Dantzig, D. (1947-1950), Kadercursus Mathematische Statistie\, 68

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Mathematical Center, Amsterdam. Users: Hemelrijk (1950b), Dantzig (1951), Terpstra (1952a), Klerk-Grobben and Prins (1954), Stoker (1954, 1955), Eiteren and Peype (1956), Eeden and Benard (1957), Dantzig (1957). Note: Not seen. A van Dantzig, D. (1951a), "On the consistency and the power of Wilcoxon's two sample test," Proceedings Konin\lij/^e Nederlandse Akademie van Wetenschappen (A) 54 (Indagationes Mathematicae 13), 1-8. Review: MR (1951) 726. Users: Lehmann (1951), Vaart and Dantzig (1951), Kruskal (1952), Kruskal and Wallis (1952), Waerden (1952), Terpstra (1952a), Munter (1953b), Vaart (1953, 1953a), Waerden (1953c, 1953e), Andrews (1954), Munter (1954a), Stoker (1954, 1954a), Terpstra (1954), Dantzig (1955), Eeden and Hemelrijk (1955), Munter (1955), Putter (1955b), Stoker (1955), Wabeke and Eeden (1955, 1955a), Birnbaum (1956), Klose (1956), Birnbaum and Klose (1957), Eeden and Benard (1957), Koni)η (1957), Waerden (1957), Doornbos and Prins (1958), Schwartz and Waerden (1959), Hemelrijk (1960), Hoeffding (1960). F van Dantzig, D. (1951b), "Une nouvelle généralisation de l'inégalité de Bienaymé," Annales de l'Institut Henri Poincaré 12, 31-43. Review: MR (1952) 51. Users: Godwin (1955), Mallows (1956a). C van Dantzig, D. (1952), "Mathematical consultation for medical, biological and other research," Verslag Konin\lij\e Nederlandse Akademie van Wetenschappen 61,13-18. Dutch. User: Hemelrijk ( 1960). O van Dantzig, D. (1955), "Sur les ensembles de confiance généraux et les méthodes dites non paramétriques," Colloques sur l'Analyse Statistique du Centre Belge de Recherches Mathématiques (Bruxelles), 73-91. Review: MR (1956) 381. Users: Terpstra (1956), Hemelrijk (1960). G van Dantzig, D. (1957), Les Functions Génératrices Liées à Quelques Tests Νon-Parametriques, Report S224, Mathematical Center, Amsterdam, 1-4. French. Ν van Dantzig, D., and J. Hemelrijk (1954), "Statistical methods based on few assumptions," Bulletin de l'Institut International de Statistique 34 (2), 239-267. French summary. Errata: sheet was prepared. Reviews: MR (1955) 941, 1JA-I (1956) 759. Users: Stoker (1954), Stuart (1954c), Dantzig (1955), Stoker (1955), Eeden (1956a), Romani (1956), Terpstra (1956), Eeden and Benard (1957), Eiteren (1957), Hemelrijk (1960). A Darling, D. A. (1951), "Sums of symmetrical random variables," Proceedings of the American Mathematical Society 2, 511-517. Review: MR (1952) 258. User: Andersen (1953). Ν Darling, D. A. (1952a), "The influence of the maximum term in the 69

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addition of independent random variables," Transactions of the American Mathematical Society 73, 95-107. Review: MR (1953) 60. User: Loève (1956). LN Darling, D. A. (1953), "On a class of problems related to the random division of an interval," Ann. Math. Statist. 24, 239-253. Review: MR (1954) 444. Users: Barton and David (1956a), Weiss (1956), Sherman (1957), Weiss (1957a), D. Chapman (1958), Ishii (1958), Weiss (1958, 1959, 1959a), Flatto and Konheim (1961). Ν Darling, D. A. (1955), "The Cramér-Smirnov test in the parametric case," Ann. Math. Statist. 26,1-20. Review: MR (1955) 729. Users: Kac, Kiefer, and Wolfowitz (1955), Moses (1956), Kiefer (1959). EG Darling, D. A. (1957), "The Kolmogorov-Smirnov, Cramér-Von Mises tests," Ann. Math. Statist. 28, 823-838. Review: MR (1959) 390. Users: Schmid (1958), Capon (1959), Ishii (1959), Lehmann (1959), Quade (1959), Schmetterer (1959), Ishii (1960). AEF Darling, D. Α., and J. F. Siegert (1953), "The first passage problem for a continuous Markov process," Ann. Math. Statist. 24, 624-639. User: Vincze (1957, 1960). E Darwin, J. H. (1958), "On corrections to the chi-squared distribution," /. Roy. Statist. Soc. (B) 20, 387-392. Reviews: IJA (1959) 35, QCAS (1959) 573, MR (1960) 580. User: Watson (1959). EN Das, J. P., and R. Ruth (1955), "Understanding versus suggestion in the judgement of literary passages," Journal of Abnormal and Social Psychology 51, 624-628. Note: Rank-order correlation ( τ ) . O David, F. Ν. (1934), "On the P\m test for randomness: remarks, further illustration and table of P\m for given values of -log10Am," Biometrica 26, 1-11. Users: K. R. Nair (1938), Wallis (1942), Kendall (1948). ENP David, F. N. (1938), "Limiting distributions connected with certain methods of sampling human populations," Statistical Research Memoirs 2, 69-90. Users: Madow (1948), F. N. David (1949), Neyman (1949), D. G. Chapman (1952), Erdos and Rényi (1959). Ν David, F. Ν. (1939), "On Neyman's 'smooth' test for goodness of fit: I. Distribution of the criterion ψ2 when the hypothesis is true," Biometrica 31, 191-199. Review: MR (1951) 53. Users: C. C. Craig (1942), Kendall (1948), Barton (1953), Neyman (1955). ENP David, F. N. (1947a), "A x2 'smooth' test for goodness of fit," Biometrica 34, 299-310. Review: MR (1948) 600. Users: F. N. David (1947b, 1948), Seal (1948), Walter (1951), Cochran (1952), Jonckheere (1954b). ENP David, F. N. (1947b), "A power function for tests of randomness in a sequence of alternatives," Biometrica 34, 335-339. Review: MR (1948) 70

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600. Users: Bateman (1948), Moore (1949), Patnaik (1949), Walter (1951), Moore (1953), Kuipers (1957), Barton and David (1958a), Goodman (1958), Lehmann (1959), Barton and David (1959b), Billingsley (1961). IN Ρ David, F. N. (1948), "Correlations between cells," Biometrica 35, 418-422. Review: MR (1949) 465. User: Fraser (1950). EN David, F. Ν . (1949), Probability Theory for Statistical Methods, Cambridge University Press, Cambridge, England, ix, 230. Note: Ch. IX, combinatorial analysis; pp. 141-145, moments of x 2 goodness-of-fit. Ν David, F. N . (1949a), "Note on the application of Fisher's ^-statistics," Biometrica 36, 383-393. Review: MR (1950) 447. User: M. Thomas (1951). KP David, F. N . (1950a), "Two combinatorial tests of whether a sample has come from a given population," Biometrica 37, 97-110. Reviews: MR (1951) 38, Math. Tables Aids Comput. (1951) 73. Users: Okamoto 1952a, 1952b, 1952c, 1952d), Kendall and Sundrum (1953), Kitabatake (1958-59), I. Weiss (1958), Barton and David (1959a), H . L. Jones (1959), Ishii (1960). EP David, F. N . (1950b), "An alternative form of χ 2 , " Biometrica 31, 448-451. Review: MR (1951) 345. E David, F. N . (1956), "A note on Wilcoxon's and allied tests," Biometrica 43, 485-488. Review: MR (1957) 607. Users: Cooper (1957), Barton and David (1958), Barton, David, and Mallows (1958), Barton, David, and Fix (1960). G David, F. N . (1959), " T h e z-test and symmetrically distributed random variables," Biometrica 46, 123-129. Review: MR (1960) 443-444. Κ David, F. N., and N . L. Johnson (1948), " T h e probability integral transformation when parameters are estimated from the sample," BiometriCa 35, 182-190. Review: MR (1949) 51. Users: F. N . David (1950a), Barton (1956a), Mallows (1959). EN David, F. N., and N . L. Johnson (1951a), " T h e effect of non-normality on the power function of the F-test in the analysis of variance," BiometriCa 38, 43-57. Review: MR (1952) 53. Users: David and Johnson (1951b, 1951c), Box (1953), Gronow (1953), Horsnell (1953), Mosteller (1953), Box (1954), Hill (1954), Box and Andersen (1955), Gephart (1955), Scheffé (1956), Kendall (1958), Kendall and Stuart (1958), J. V. Bradley (1959b), F. N . David (1959), Scheffé (1959), Srivastava (1959), Roneau (1960). GKN David, F. N., and N . L. Johnson (1951b), "A method of investigating the effect of non-normality and heterogeneity of variance on tests of the general linear hypothesis," Ann. Math. Statist. 22, 382-392. Review: MR 71

DAVID

(1952) 143. Users: David and Johnson (1952), Box (1954), Box and Andersen (1955), Scheffé (1956), F. Ν. David (1959), Murthy (1960). GKN David, F. N., and N. L. Johnson (1951c), "The sensitivity of analysis of variance tests with respect to random variation between groups," Trabajos de Estadística 2, 179-188. English; Spanish summary. Review: MR (1952) 572. Users: Box (1953, 1954), Box and Andersen (1955), Scheffé (1956). GK David, F. N., and N. L. Johnson (1952), "Extension of a method of investigating the properties of analysis of variance tests to the case of random and mixed models," Ann. Math. Statist. 23, 594-601. Review: MR (1953) 488. Users: Hoeffding (1956), Scheffé (1956), F. Ν. David (1959). GKN David, F. N., and N. L. Johnson (1954), "Statistical treatment of censored data. Part I," Biometrica 41, 228-240. Review: MR (1955) 382. Users: Walsh (1957, 1957a), Blom (1958), Wallace (1958), Walsh (1958b, 1959c), Lenhart (1960), Saw (I960). LP David, F. N., and N. L. Johnson (1956), "Some tests of significance with ordered variables," /. Roy. Statist. Soc. (Β) 18, 1-31. Reviews: MR (1957) 345, J. Amer. Statist. Assoc. (1957) 95, Math. Tables Aids Comput. (1958) 68. Users: Barton (1957a), Blom (1958). Note: With discussion. Bibliography of 101 items. ALP David, H. A. (1951), "Further applications of range to the analysis of variance," Biometria 38, 393-409. Reviews: MR (1952) 668, Math. Tables Aids Comput. (1952) 227. Users: May (1952), E. S. Pearson (1952), Gephart (1955), Duckworth and Wyatt (1958), Harter (1960). GLP David, H. A. (1952), "Upper 5 and 1% points of the maximum F-ratio," Biometrica 39, 422-424. Review: MR (1953) 568. User: H. A. David (1954). LP David, H. A. (1954), "The distribution of range in certain non-normal populations," Biometri\a 41, 463-468. Review: IJA-I (1955) 650. KP David, H. A. (1955), "A note on moving ranges," Biometrica 42, 512-515. LNP David, H. A. (1958a), Order Statistics in Short-Cut Tests, research sponsored by Office of Ordnance Research, U.S. Army Contract No. DA-36034-ORD-1527 RD, Virginia Polytechnic Institute, Blacksburg. Note: The range in statistical inference. ALP David, H. A. (1959), "Tournaments and paired comparisons," Biometrica 46, 139-149. Review: IJA (1959) 280. Users: Maurice (1958), Starks and David (1959), Glenn (1959, 1960). GNP David, Η. Α., and Carmen A. Perez (1960), "On comparing different tests of the same hypothesis," Biometrica 47, 297-306. BG 72

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David, Herbert T., Discrete Populations and the KolmogorovSmirnov Tests, unpublished report SRC-21103D27, Statistical Research Center, University of Chicago. Users: Goodman (1954b), Schaie (1958). Note: Not seen. FN David, Herbert T., "Runs above the sample mean." Abstract: Ann. Math. Statist. (1956) 548. User: Bacon (1958). Ν David, Herbert T . (1958), "A three-sample Kolmogorov-Smirnov test," Ann. Math. Statist. 29, 842-851. Abstract: /. Amer. Statist. Assoc. (1958) 574. Review: MR (1959) 391. Users: Birnbaum and Hall (1959), Dwass (1960b), Fis ζ (1960). Note: See W. Feller review of Gnedenko and Korolyuk (1951) in MR (1952) 570-571. FN David, S. T., M. G. Kendall, and A. Stuart (1951), "Some questions of distribution in the theory of rank correlation," Biometrica 38, 131-140. Reviews: MR (1952) 85, Math. Tables Aids Comput. (1952) 85. Users: Mosteller (1953), Fieller, et al. (1957), Kruskal (1958). JNP Davies, J. A. (1949), "Quality control in radio tube manufacture," Proceedings of the Institute of Radio Engineers 37, 548-556. O Davies, O. L., and E. S. Pearson (1934), "Methods of estimating from samples the population standard deviations," /. Roy. Statist. Soc. (Β) 1, 76-93». Users: Pearson and Haines (1935), Lord (1947), Wilks (1948), Godwin (1949a), Haid (1952), Féron (1956), H. A. David (1958a). KL Davis, D. J. (1952), "An analysis of some failure data," /. Amer. Statist. Assoc. 47, 113-150. User: Plackett (1959). O Davis, H. T . (1941), The Statistics of Time Series, Mathematical Monograph No. 1, Northwestern University Studies in Mathematics and the Physical Sciences. Review: MR (1942) 175. Note: Not seen. See pp. 4485. I Davis, J. G., and H. L. Hanson (1954), "Sensory test methods. I. The triangle-intensity test," Food Technology 8, 335-339. Review: IJA-I (1956) 761. Note: Not seen. MP Davis, Robert H. (1957), "A further study of the effect of stress on palmar prints," Journal of Abnormal and Social Psychology 55, 132. Note: Sign test. O Dawson, E. H., M. Duehring, and V. E. Parks (1947), "Addition of ground egg shell to dried egg for use in cooking," Food Research 12, 288-297. O Dawson, Reed B., Jr. (1954), "A simplified expression for the variance of the χ2 function on a contingency table," Biometrica 41, 280. Review: MR (1954) 807. User: Nass (1959). H Dawson, Reed B., Jr., "Exact probabilities in a test for Markov dependency." Abstract: Biometrics (1956) 219. 1 Dawson, Reed B., Jr. (1957), "Exact Markov probabilities from oriented 73

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linear graphs," Ann. Math. Statist. 28, 946-956. Users: Barton and David (1958a), Goodman (1958a), Billingsley (1961). Ν Deitz, Victor R. (1956), "Color evaluation in the cane sugar industry," Journal of Research of the National Bureau of Standards 57, 159-170. Note: Sign test, Spearman's p, concordance. O Deltheil, R. (1930), Erreurs et Moindres Carrés, Gauthier-Villars, Paris. Note: See pp. 15-22. C Dember, William N. (1957), "The relation of decision-time to stimulus similarity," journal of Experimental Psychology 53, 68-72. Note: Kendall's r. O Deming, W. Edwards (1934), "The chi-square test and curve fitting," /. Amer. Statist. Assoc. 29, 372-382. Users: Deming (1938), Kendall (1948). EG Deming, W. Edwards (1938), "Some thoughts on curve fitting and the chi-test," /. Amer. Statist. Assoc. 33, 543-551. Users: Berkson (1938), Camp (1938), Fry (1938), Kendall (1948). / Dempster, A. P. (1958), "A high dimensional two sample significance test," Ann. Math. Statist. 29, 995-1010. Review: MR (1961) 529. G Dempster, A. P. (1959), "Generalized Dn+ statistics," Ann. Math. Statist. 30, 593-597. Reviews: If A (1959) 227, MR (1960) 1126. Denton, J. E., and H. K. Beecher (1949), "New analgesics," Journal of the American Medical Association 141, 1051-1057. User: Cochran (1950). Note: Use of 2 X 2 tables. O Derman, Cyrus (1956), "Stochastic approximation," Ann. Math. Statist. 27, 879-886. Review: MR (1958) 473. AG Derman, Cyrus (1957), "Non-parametric up-and-down experimentation," Ann. Math. Statist. 28, 795-798. Review: MR (1958) 896. G Deuchler, Gustav (1909), "Beiträge zur Erforschung der Reaktionsformen," Psychologische Studien 4,353-430. User: Kruskal (1958). G Deuchler, Gustav (1914), "Über die Methoden der korrelationsrechnung in der Pädagogik und Psychologie," Zeitschrift für Pädagogische Psychologie und Experimentelle Pädagogi\ 15, 114-131, 145-159, 229-242. Users: Deuchler (1915), Valentiner (1921), Kruskal (1957), Goodman and Kruskal ( 1959), Lehmann ( 1959). H Deuchler, Gustav (1915), "Über die Bestimmung einseitiger Abhängigkeit in pädagogisch psychologischen Tatbeständen mit alternativer Variabilität," Zeitschrift für Pädagogische Psychologie und Experimentelle Pädagogik 16, 550-566. Users: Kruskal (1958), Goodman and Kruskal (1959). H Deuchler, Gustav (1916), "Über die Bestimmung von Rangkorrelationen aus Zeugnisnoten," Zeitschrift für Angewandte Psychologie 12, 395—439. 74

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Users: Valentiner (1921), Kruskal (1958), Goodman and Kruskal (1959). H Diamond, Earl, "Extension of some results given by Mitra on 'statistical analysis of categorical data.' " Abstract: Biometrics (1957) 413. H Diamond, E. L., S. K. Mitra, and S. N. Roy (1960), "Asymptotic power and asymptotic independence in the statistical analysis of categorical data," Bulletin de l'Institut International de Statistique 37, 309-329. French summary. Review: If A (1961) 67. HN Diamond, Solomon (1959), Information and Error: An Introduction to Statistical Analysis, Basic Books, New York, xii, 307. Review: MR (1960) 727. Note: See Chs. 9 and 13. AP Diananda, P. H. (1954), "The central limit theorem for m-dependent variables asmyptotically stationary to second order," Proceedings of the Cambridge Philosophical Society 50, 287-292. Review: MR (1954) 635. Users: Diananda (1955), Kallianpur (1955). Ν Diananda, P. H. (1955), "The central limit theorem for TO-dependent variables," Proceedings of the Cambridge Philosophical Society 51, 9295. Abstract: Ann. Math. Statist. (1954) 412, 618. Review: MR (1955) 724. User: Orey (1958). Ν Dixon, W . J. (1940), "A criterion for testing the hypothesis that two samples are from the same population," Ann. Math. Statist. 11, 199-204. Review: MR (1941) 111. Users: Wallis and Moore (1941a), Mathisen (1943), Scheffé (1943a, 1943b), Wolfowitz (1943), Festinger (1946), Kendall (1948), Wilks (1948), Krishna Iyer (1951a), Lehmann (1951), Lai (1952), Terry (1952), Munter (1953b), Ramachandran Ranganathan (1953), Munter (1954b, 1955), Wegner (1956), Blum and Weiss (1957), Krishna Iyer (1958). FNP Dixon, W. J. (1953), "Power functions of the sign test and power efficiency for normal alternatives," Ann. Math. Statist. 24, 467-473. Reviews: MR (1954) 453, Math. Tables Aids Comput. (1954) 80. Users: Abelson and Bradley (1954), Dixon (1954), Bradley (1955b, 1955c), L. V. Jones (1955), Krishna Iyer (1955), Krishna Iyer and Singh (1955), Savage (1955), Hodges and Lehmann (1956), Cusimano (1957), Fraser (1957), Konijn (1957), Tsao (1957), Noether (1958), Walsh (1958), McLemore (1959), Walsh (1959), Wormleighton (1959). GP Dixon, W. J. (1954), "Power under normality of several nonparametric test," Ann. Math. Statist. 25, 610-614. Reviews: MR (1955) 273, /. Amer. Statist. Assoc. (1955) 251. Users: Epstein (1955), Hodges and Lehmann (1956), Moses (1956), Konijn (1957), Tsao (1957), Witting (1960). GP Dixon, W . J. (1957), "Estimates of the mean and standard deviation of a 75

DIXON normal population," Ann. Math. Statist. 28, 806-809. Review: Math. Tables Aids Comput. (1957) 287. Users: Blom (1958), Harter (1959). KP Dixon, Wilfred J., and F r a n k J. Massey (1957), Introduction to Statistical Analysis, 2nd ed., McGraw-Hill, N e w York, 488. Reviews: Industrial Quality Control (1953) 41, /. Amer. Statist. Assoc. (1957) 386, Math. Tables Aids Comput. (1958) 231-233, MR (1959) 1376. Users: Edwards (1951), Walter (1951), Freund (1952), Hemelrijk (1952), Moses (1952), Oakland (1952), Schefïé (1952), Sherif and Harvey (1952), Wallis (1952), Atwater (1953), Eeden (1953), H . L . Jones (1953), Moses (1953), K . Smith (1953), Eeden (1954), Halsey (1954), Hoel (1954), R. A. Bradley (1955c), Crockett (1955), Gephart (1955), Gibson, Bergman, and Purdy (1955), Johnson (1955), Kish (1955), L a m k e (1955), Litchfield and Wilcoxon (1955), Putter (1955b), L a d d (1956), Mandel and Linnig (1956), Romani (1956), H . Davis (1957), Konijn (1957), Nefzger and Drasgow (1957), Savage (1957a), Siegel (1957), Weinberg and Tripp (1957), Becker (1958), Blumen (1958), Freund and Williams (1958), MacArthur (1958), Osgood (1958), Welker and Welker (1958), J. V . Bradley (1959b), Quenouille (1959), Walter (1959b), Whitney (1959), Adler and Roessler (1960), Freund (1960), Hoel (1960). Note: First edition 1951. A Dixon, W . J., and A . M. Mood (1946), " T h e statistical sign test," /. Amer. Statist. Assoc. 41, 557-566. Users: Eisenhart (1949), Mosteller and Tukey (1949), Walsh (1949c, 1949d), Cochran (1950), Hemelrijk (1950c), Kimble (1951), Hemelrijk (1952a, 1952b), Moses (1952), Schefïé (1952), Benard and Elteren (1953), Bradley (1953c), Dixon (1953), Knowles, Garvey and Newlin (1953), Moses (1953), Munter (1953b), Snedecor (1953a), Baker and Osgood (1954), Ruist (1954), Walter (1954a, 1954b), Bradley (1955a, 1955c), Jessop (1955), Munter (1955), Putter (1955), Rosenblatt (1955), Sekar, et al. (1955), T s a o (1955), Mandel and Linning (1956), Snedecor (1956), Walsh (1956a), Cusimano (1957), Dixon and Massey (1957), Konijn (1957), Tsao (1957), Walsh (1958), Armitage (1959), Cohen (1959), MacKinnon (1959), Steel (1959a), Tukey (1959a), Walsh (1959, 1960). GP Dixon, W . J., and D . Teichroew, " S o m e sampling results on the power of nonparametric tests against normal alternatives." Abstract: Ann. Math. Statist. (1954) 175. Users: Walter (1954b), Epstein (1955). GP Dodd, Edward L . (1923), " T h e greatest and the least variate under general laws of error," Transactions of the American Mathematical Society 25, 525-539. Users: Tippett (1925), Gumbel (1935), Wilks (1948), Moriguti (1951), Gumbel (1954a), Watson (1954). LNP Dodd, Edward L . (1939), " T h e length of the cycles which result from the 76

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graduation of chance elements," Ann. Math. Statist. 10, 254-264. Review: MR (1940) 23. Users: Dodd (1941), Kendall (1948). / Dodd, Edward L. (1941), "The problem of assigning a length to the cycle to be found in a simple moving average and in a double moving average of chance data," Econometrica 9, 25-37. Review: MR (1941) 237. User: Kendall (1948). I Dodd, Edward L. (1942), "Certain tests for randomness applied to data grouped into small sets," Econometrica 10, 249-257. Review: MR (1943) 108. Users: Gage (1943), Kendall (1948). I Domb, C. (1947), "The problem of random intervals on a line," Proceedings of the Cambridge Philosophical Society 43, 329-341. Review: MR (1947) 591. Users: Domb (1952), Page (1959). Ν Domb, C. (1952), "On the use of a random parameter in combinatorial problems," Proceedings of the Physical Society (A) 65, 305-309. Review: MR (1952) 186. User: Feller (1957). Ν Donato, Vincent (1953), The Distribution of the Kolmogorov Two-Sided Confidence Interval, master's thesis, Ohio State University. User: Miller (1956). Note: Not seen. E Donohue, G. A. (1957), "Socio-economic characteristics of part-time and full-time farmers in the Twin-Cities area," Journal of Farm Economics 39, 984-992. Note: Contingency tables for association. O Donsker, Monroe D. (1952), "Justification and extension of Doob's heuristic approach to the Kolmogorov-Smirnov theorems," Ann. Math. Statist. 23, 277-281. Review: MR (1952) 853. Users: Juvancz and Lipták (1952), Rényi (1953a), Malmquist (1954), Darling (1955), Blackman (1956), Centsov (1956), Chernofï (1956), Darling (1956), Dvoretzky, Kiefer, and Wolfowitz (1956), Chang and Fisz (1957a), Vincze (1957), D. Chapman (1958), Fisz (1958), Kiefer and Wolfowitz (1958), J. L. Rosenblatt (1958), Schmid (1958), Capon (1959), Kiefer (1959), Kiefer and Wolfowitz (1959), Quade (1959), Wilks (1959), Fisz (1960), Vincze (1960). EN Doob, J. L. (1949), "Heuristic approach to the Kolmogorov-Smirnov theorems," Ann. Math. Statist. 20, 393-403. Review: MR (1950) 43. Users: Kac (1949), Z. W. Birnbaum (1950), Feller (1951), Lehmann (1951), Marshall (1951), Massey (1951a), Anderson and Darling (1952), Z. W. Birnbaum (1952), Donsker (1952), Drion (1952), Gihman (1952a), Juvancz and Lipták (1952), M. Rosenblatt (1952), Darling and Siegert (1953), Gihman (1953b), Rényi (1953a), Malmquist (1954), Chernofï (1955), Darling (1955), Kac, Kiefer, and Wolfowitz (1955), Munter (1955), Blackman (1956), Óentsov (1956), Dvoretzky, Kiefer, and Wolfowitz (1956), Chang and Fisz (1957a), Grenander and Rosenblatt (1957), Konijn (1957), Vincze (1957), D. Chapman (1958), Fisz 77

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(1958), Kiefer and Wolfowitz (1958), J. I. Rosenblatt (1958), Schmid (1958), Capon (1959), Fisz (1959), Kiefer (1959), Kiefer and Wolfowitz (1959), Quade (1959), Fisz (1960), Vincze (1960). EFN Doob, J. L. (1951), "Continuous parameter martingales," Proceedings of the Second Berkeley Symposium on Mathematical Statistics and Probability, University of California Press, Berkeley, 269-277. Review: MR (1952) 475. User: Doob (1953). Note: See Sec. 3. C Doob, J. L. (1953), Stochastic Processes, Wiley, New York, vii, 654. Reviews: /. Amer. Statist. Assoc. (1954) 661, MR (1954) 445. Users: Centsov (1956), Féron (1956), Grenander and Rosenblatt (1957), Savage (1957), Dwass (1958), Capon (1959), Birnbaum and Marshall (1960), Chow (1960), Marshall (I960), Billingsley (1961a), Goodman and Grunfeld (1961). CN Doolittle, M. H. (1885), "The verification of predictions," Bulletin of the Philosophical Society of Washington 7, 122-127. Users: Doolittle (1888), Goodman and Kruskal ( 1959). H Doolittle, M. H. (1888), "Associations ratios," Bulletin of the Philosophical Society of Washington 10, 83-87, 94-96. User: Goodman and Kruskal (1959). H Doornbos, R., and H. J. Prins (1958), "On slippage tests III. Two distribution-free slippage tests and two tables," Proceedings Koninb}i)ke Nederlandse Akademie van Wetenschappen {A) 61 (Indagationes Mathematicae 20), 438-147. Reviews: IJA (1959) 67, MR (1959) 814, Math. Tables Aids Comput. (1960) 386. GNP Dor, L. (1943), "Sur la fonction caractéristique des schémas de Poisson et de Lexis," Mémoires de la Société Royale des Sciences de Liège 1, 211-249. Note: Contains uni- and multivariate Tchebycheff inequalities, pp. 228— 232. Not seen. C Drenick, R. F. (1957), "A statistical view of reliability," Proceedings of the Working Conference on the Theory of Reliability, held at New Yor\ University Conference Center, Gould House, Ardsley-on-Hudson (New York), 30-40. Note: Not seen. See Par. 5. G Drion, E. F. (1951), "Estimation of the parameters of a straight line and of the variances of the variables, if they are both subject to error," Proceedings Konin%lij\e Nederlandse Akademie van Wetenschappen (A) 54 (.Indagationes Mathematicae 13), 256-260. Review: MR (1952) 144. Users: Theil ( 1951), Madansky ( 1959). G] Drion, E. F. (1952), "Some distribution-free tests for the difference between two empirical cumulative distribution functions," Ann. Math. Statist. 23, 563-574. Review: MR (1953) 488. Users: Bross (1953), Munter (1955), Kemperman (1957), Birnbaum and Hall (1959). FN Ρ Dronkers, J. J. (1958), "Approximate formulae for the statistical distribu78

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tions of extreme values," Biometrica 45, 447-470. Reviews: MR (1959) 1109, OCAS (1960) 27. LN DuBois, Philip (1939), "Note on the calculation of the chi-square test for 'goodness of fit,' " Psychometri\a 4, 173-174. EL DuBois, Philip (1939), "Formulas and tables for rank correlation," Psychological Record 3, 46-56. Users: Woodbury (1940), Horn (1942), Thornton (1943), Kendall (1945), Kruskal and Wallis (1952), Kendall (1955b). Note: Not seen. JP Duckworth, W. E., and J. V. Wyatt (1958), "Rapid statistical techniques for operations research workers," Operations Research Quarterly 9, 218— 233. Review: QCAS (1959) 131. User: Tukey (1959a). A Dugué, Daniel (1958), Traité de Statistique Théorique et Appliquée: Analyse Aléatoire, Algèbre Aléatoire, Collection d'ouvrages de mathématiques à l'usage des physiciens, Masson, Paris, xiv, 313. Review: MR (1960) 1126. User: Gefïroy (1959). Note: Not seen. A Dumas, Maurice (1952), "L'interprétation des séries de résultats blancs et noirs," Mémorial de l'Artillerie Française 26, 589-624. Review: MR (1953) 1102. Note: Not seen. Ν Duncan, Α. J. (1948), "Detection of non-random variations when size of sample varies," Industrial Quality Control 4 ( 4 ) , 9-12. User: Mosteller and Tukey (1949). O Duncan, A. J. (1950), "A chi-square chart for controlling a set of percentages," Industrial Quality Control 7 (3), 11-15. User: Reynolds (1952). EO Duncan, A. J. (1955), "Chi square tests of independence and the comparison of percentages," Industrial Quality Control 11 ( 9 ) , 9-14. AEG Dunin-Barkovskii, I. V., and Ν. V. Smirnov (1955), The Theory of Probability and Mathematical Statistics in Engineering. General Part, Gosudarstv. Izdat. Tehn.-Teor. Lit., Moscow, 556. Russian. Review: MR (1956) 755. User: Hellwig (1958). Note: See Ch. VI, pp. 292-363, "Testing of statistical hypotheses." A Dunn, Olive Jean (1959), "Estimation of the medians for dependent variables," Ann. Math. Statist. 30, 192-197. Abstract: Ann. Math. Statist. (1959) 1279. Reviews: IJA (1959) 210, MR (1960) 210. G Durbin, J. (1951), "Incomplete blocks in ranking experiments," British Journal of Psychology (Statistical Section) 4, 85-90. Review: MR (1952) 963. Users: Bradley and Terry (1952c), Benard and van Eiteren (1953), Mosteller (1953), Calvin (1954), Dantzig and Hemelrijk (1954), Amato (1955), R. A. Bradley (1955b, 1955d), Dantzig (1955), Jessop (1955), Kendall (1955a), Willerman (1955), Bradley and Kramer (1956), Eiteren and Peype (1956), Bradley (1957), Pendergrass and Bradley (1957), Noether (1958), Bhapkar (1959), H. A. David (1959), Eiteren and 79

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Noether (1959), Pendergrass and Bradley (1959), Starks and David (1959), Noether (1960). GM Durbin, J., and A. Stuart (1951), "Inversions and rank correlation coefficients," J. Roy. Statist. Soc. (Β) 13, 303-309. Review: MR (1952) 963. Users: Amato (1954), Stuart (1954b), Kendall (1955b), Cureton (1956), Stuart (1956b). JN Dvoretzky, Α., J. Kiefer, and }. Wolfowitz (1956), "Asymptotic minimax character of the sample distribution function and of the classical multinomial estimator," Ann. Math. Statist. 27, 642-669. Abstract: Bull. Amer. Math. Soc. (1955 ) 562. Review: MR (1957) 772. Users: Kiefer and Wolfowitz (1956), Hoeffding and Wolfowitz (1958), Kiefer and Wolfowitz (1958 abstract), Kiefer (1959), Kiefer and Wolfowitz (1959), Quade (1959). BG Dwass, Meyer (1952), Contributions to the Theory of Ranf{ Order Tests, dissertation, University of North Carolina. User: Savage (1956). Note: Not seen. GL Dwass, Meyer (1953), "On the asymptotic normality of certain rank order statistics," Ann. Math. Statist. 24, 303-306. Review: MR (1953) 1102. Users: Hoeffding (1953a), Mood (1954), Dwass (1955), Stoker (1955), Savage (1956), Dwass (1957a), Fraser (1957), Konijn (1957), Capon (1959), Dwass (1960b). Ν Dwass, Meyer (1955), "On the asymptotic normality of some statistics used in non-parametric tests," Ann. Math. Statist. 26, 334-339. Review: MR (1955) 1038. Users: Walter (1956), Dwass (1957a), Motoo (1957). Ν Dwass, Meyer (1956), "The large-sample power of rank order tests in the two-sample problem," Ann. Math. Statist. 27, 352-374. Abstract: Ann. Math. Statist. (1954) 175. Reviews: MR (1957) 159, QCAS (1957) 99. Users: Hodges and Lehmann (1956), Dwass (1957a), Chernoff and Savage (1958). BGN Dwass, Meyer (1957), "Modified randomization tests for non-parametric hypotheses," Ann. Math. Statist. 28, 181-187. Review: MR (1958) 331. Users: Sundrum (1953c), Chung and Fraser (1958), Pfanzagl (1959). Β Dwass, Meyer (1957a), "On the distribution of ranks and of certain rank order statistics," Ann. Math. Statist. 28, 424-431. Abstract: Ann. Math. Statist. (1956) 862. Review: MR (1958) 473. Ν Dwass, Meyer (1958), "On several statistics related to empirical distribution functions," Ann. Math. Statist. 29, 188-191. Review: MR (1959) 339. User: Kuiper (1959). EN Dwass, Meyer (1959), "The distribution of a generalized D n + statistic," Ann. Math. Statist. 30, 1024-1028. Reviews: IJA (1961) 311, MR (1961) 51. User: Dwass ( 1960). EN Dwass, Meyer (1960), Random Crossings of CDF's, O.N.R. Research 80

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Memorandum No. 29, Technological Institute, Northwestern University, 11. EFN Dwass, Meyer (1960b), "Some ^-sample rank-order tests," Contributions to Probability and Statistics: Essays in Honor of Harold Hotelling, Ingram Olkin, et al., eds., Stanford University Press, Stanford, California, 198— 202. F Dykstra, Otto, Jr. (1956), "A note on the rank analysis of incomplete block designs: applications beyond the scope of existing tables," Biometrics 12, 301-306. Reviews: QCAS (1956) 1001, MR (1957) 633. Users: Bradley and Kramer (1956), Jackson and Fleckenstein (1957), Pendergrass and Bradley (1957, 1959), Wilkinson (1957), Starks and David (1959), Bliss (1960). O Dykstra, Otto, Jr. (1958), "Factorial experimentation in Scheffé's analysis of variance for paired comparisons," J. Amer. Statist. Assoc. 53, 529-542. User: Starks and David ( 1959). G Dyson, F. J. (1943), " A note on kurtosis," J. Roy. Statist. Soc. (N.S.) 106, 360-361. Review: MR (1945) 162. X Eckstrand, Gordon Α., and Delos D. Wickens (1954), "Transfer of perceptual set," Journal of Experimental Psychology 47, 274-278. Note: "Because of inequality of variance among the groups, the Mann-Whitney U test was employed to determine the significance of the differences." P. 277. O Eddison, R. T., et al. (1951), "Keeping quality and raw-milk grading," Journal of Dairy Research 18, 43-71. GM O Eden, J., and F. Yates (1933), "On the validity of Fisher's ζ test when applied to an actual example of non-normal data," Journal of Agricultural Science 23, 6-13. Users: Bartlett (1935a), Friedman (1937), Welch (1937), Pearson (1938b), Pitman (1938c), Geary (1947), Anscombe (1948), Kendall (1948), Fisher (1949), Gayen (1950a), R. A. Bradley (1952a), Kempthorne (1952), Ottestad (1952), Kempthorne (1955), Schefïé (1956, 1959), Tukey (1959). Κ Edgington, Eugene S. (1961), "Probability tables for number of runs of signs of first differences in ordered series," /. Amer. Statist. Assoc. 56, 156-159. IP Edwards, Allen L. (1950), "On 'the use and misuse of the chi-square test'— the case of the 2 X 2 contingency table," Psychological Bulletin 47, 341346. Users: Lewis and Burke (1950), F. Adler (1951), Cochran (1952), Spindler (1955), J. V. Bradley (1959b). EH Edwards, Allen L. (1951), "Statistical theory and research design," Annual Review of Psychology 2, 335-352. Note: Discussion of degrees of freedom and partitioning of χ 2 in an r X c contingency table. AH Edwards, Allen L. (1954), Statistical Methods for the Behavioral Sciences, 81

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Rinehart, New York, xvii, 542. Reviews: Psychological Bulletin (1955) 470-471, /. Amer. Statist. Assoc. (1956) 382, Journal of Educational Psychology (1957) 182. Users: Lamke (1955), Logan, Beier, and Kincaid (1956), Tyler (1957). A Edwards, Allen L. (1957), Techniques of Attitude Scale Construction, Appleton, Century, Crofts, New York, 256. Review: Contemporary Psychology (1957) 237-238. Note: Extensive references. M Edwards, R. L. (1958), "Movements of individual members in a population of the shore crab, Carcinus maenas L., in the littoral zone," Journal of Animal Ecology 27, 37-45. Note: Wilcoxon two-sample test. 0 van Eeden, Constance (1953), "Methods for comparing, testing, and estimating unknown probabilities," Statìstica Neerlandica 7, 141-162. Dutch; English summary. Review: MR (1954) 886. Users: Eeden (1956a), Corsten (1957), Eeden and Korswagen (1959), Eeden and Runnenburg (1960). G van Eeden, Constance (1953a), Statistical Analysis of an Investigation of Hemorrhage Post Partum, Report S123, Mathematical Center, Amsterdam, 53-76. Dutch. Note: Reissued 1957. Uses Wilcoxon's two-sample tests. 0 van Eeden, Constance (1955), "A test against linear trend for a number of probabilities," Statistica Neerlandica 9, 131-159. Dutch; English summary. Review: MR (1956) 505. GP van Eeden, Constance (1956a), "Distribution free two sample tests and the method of the 2 X 2 table," Statistica Neerlandica 10, 157-162. Dutch; English summary. Review: MR (1957) 682. H van Eeden, Constance (1956b), "Maximum likelihood estimation of ordered probabilities," Proceedings Konin\lij\e Nederlandse A\ademie van Wetenschappen (A) 59 (Indagationes Mathematicae 18), 444-^45. Users: Eeden (1957), Hemelrijk (1957). G van Eeden, Constance (1957), "Maximum likelihood estimation of partially or completely ordered parameters, I and II," Proceedings Konin1{li]\e Nederlandse Akademie van Wetenschappen (A) 60 (Indagationes Mathematicae 19), 128-136. Review: MR (1957) 773. User: Hemelrijk (1957). G van Eeden, Constance (1960), "A class of tests for the hypothesis that ^ parameters θν . . . , 0k satisfy the inequalities 0, . . . ±s 0 k ," Bulletin de l'Institut International de Statistique 37, 331-338. French summary. Note: See Sec. 3.5. G van Eeden, Constance (1960a), "A graphical method for calculating Kendall's rank correlation test statistic," Statistica Neerlandica 14, 157-160. Dutch. J van Eeden, Constance, and A. Benard (1957), "A general class of distribu82

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tion-free tests for symmetry containing the tests of Wilcoxon and Fisher, I, II, III," Proceedings Koninkjijke Nederlandse A\ademie van Wetensckappen (A) 60 {Indagationes Mathematicae 19), 381-408. Reviews: MR (1957) 682, MR (1959) 1021. Users: Schmetterer (1959), Walsh (1959, 1960a). G van Eeden, Constance, and A. R. Bloemena (1959), On Probability Distributions Arising from Points on a Lattice, Report S 257, Mathematical Center, Amsterdam, 25. Review: I]A (1960) 542. User: Bloemena (1960). INP van Eeden, Constance, and J. Hemelrijk (1955), "A test for the equality of probabilities against a class of specified alternative hypotheses, including trend. I, II," Proceedings Koninkjijt^e Nederlandse A\ademie van Wetenschappen {A) 58 (Indagationes Mathematicae 17), 191-198, 301308. Review: MR (1956) 56. Users: Hemelrijk (1954), Dantzig (1955), Eeden (1955), Terpstra (1956), Eeden and Benard (1957), Hemelrijk (1957), Eiteren (1960). IN van Eeden, Constance, and Rina Korswagen (1959), Manual for Kendall's Ran\ Correlation Test, Report S262 (M83), Mathematical Center, Amsterdam, 45. Dutch. User: Eeden (1960a). AJP van Eeden, Constance, and Chr. L. Riimke (1958), "Wilcoxon's two sample test," Statistica Neerlandica 12, 275-280. Review: OCAS (1959) 783. G van Eeden, Constance, and J. Th. Runnenburg (1960), "Conditional limitdistributions for the entries in a 2 X 2 table," Statistica Neerlandica 14, 111-126. English; Dutch summary. Review: 1JA (1961) 23. HN Eells, Walter Crosby (1929), "Formulas for probable errors of coefficients of correlation," /. Amer. Statist. Assoc. 24, 170-173. Users: Hotelling and Pabst (1936), Kendall (1955b). Note: Tables of standard deviations of rank measures of correlation. ]P Eggleton, Philip, and William Ogilvie Kermack (1944), "A problem in the random distribution of particles," Proceedings of the Royal Society of Edinburgh (A) 62, 103-115. Review: MR (1945) 88. Ν Egudin, G. I. (1947), "Certain relations between the moments of the distribution of extreme values in random samples," Do\lady Akademii Nau\ SSSR {N.S.) 58, 1581-1584. Review: MR (1948) 295. L Ehrenberg, A. S. C. (1951), "Note on normal transformations of ranks," British journal of Psychology {Statistical Section) 4, 133-134. User: Kruskal and Wallis ( 1952 ). G Ehrenberg, A. S. C. (1952), "On sampling from a population of rankers," Biometrica 39, 82-87. Review: MR (1953) 64. Users: Kendall (1955b), Eiteren (1957), Hays (1960). MN Eidelnant, M. I. (1953), "The simplest nonparametric method of quality 83

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control," A\ademiya Nau\ Uzbe\s\oi SSR, Trudy Instituía Matematici i Mehanikj imeni V. I. Romanovshpgo 11, 52-62. Russian. Review: MR (1956) 984. Note: Not seen. O Eisenhart, Churchill (1935), "A test for the significance of lithological variations," Journal of Sedimentary Petrology 5, 137-145. EHO Eisenhart, Churchill, "The power function of the chi-square test." Abstract: Bull Amer. Math. Soc. (1938) 32. Users: Neyman (1942), Kendall (1948), Neyman (1955), Barton (1956a), Mitra (1958), Fix, Hodges, and Lehmann (1959). Note: Thesis at University College, London. EN Eisenhart, Churchill (1947), "The assumptions underlying the analysis of variance," Biometrics 3, 1-21. Review: MR (1947) 593. Users: Anscombe (1948), Mosteller and Tukey (1949), Hake, et al. (1951), Hake and Grant (1951), Pearson and Hartley (1951), R. A. Bradley (1952a), Kempthorne (1952), Calvin (1954), Schefïé (1956), J. V. Bradley (1959b). GK Eisenhart, Churchill (1949), "Probability center lines for standard deviation and range charts," Industrial Quality Control 6 (1), 24-26. Note: Sign test and runs. O Eisenhart, Churchill (1954), Selected Bibliography on the Joint Effects of Reading Errors and Grouping on Standard Methods of Statistical Inference, Handout distributed at 16th Summer Meeting, Institute of Mathematical Statistics, Montreal, September 10, 1954. (Statistical Engineering Laboratory, National Bureau of Standards, Washington 25, D.C.) X Eisenhart, Churchill, Lola S. Deming, and Celia S. Martin, "The probability points of the distribution of the median in random samples from any continuous population." Abstract: Ann. Math. Statist. (1948) 598-599. LN Eisenhart, Churchill, and Perry W. Wilson (1943), "Statistical methods and control in bacteriology," Bacteriological Review 7, 57-137. EIO Elandt, R. (1956), "On certain interaction tests in serial experiments. The problem of stratification," Pols\a Academia Nau\. Instytut Matematyczny. Zastosowania Matematy\i 3, 8-45. Polish; Russian and English summaries. Review: MR (1957) 956. Note: Not seen. / El-Badry, Μ. Α., and F. F. Stephan (1955), "On adjusting sample tabulations to census counts," /. Amer. Statist. Assoc. 50, 738-762. 0 Elderton, William Palin (1901), "Tables for testing the goodness of fit of theory to observation," Biometrica 1, 155-163. Users: K. Pearson (1904), Harris and Tu (1929), Κ. Pearson (1932a), Ο. N. Anderson (1935), Treloar (1939), Neyman (1942), Fisher (1948), Hartley and Pearson (1950). EP Elderton, William Palin (1953), Frequency Curves and Correlation, 4th ed., Harren Press, Washington, D.C., 272. Users: Bowley (1920), Peirce 84

ENGLISH ( 1 9 2 6 ) , C r a m e r ( 1 9 2 8 a ) , W e i d a ( 1 9 2 8 ) , Castellano ( 1 9 3 4 ) , Olds ( 1 9 3 8 ) , Lakshmanamurti (1945), Cramér (1946), Major Greenwood (1946), G o o d ( 1 9 5 0 ) , Stuart ( 1 9 5 1 ) , Lancaster ( 1 9 5 3 ) , Stanley J a m e s ( 1 9 5 6 ) . Note: Chapter X I I contingency tables, C h . X I goodness-of-fit. First edition 1906. EHJ E l f v i n g , G., and J. H . Whitlock ( 1 9 5 0 ) , " A simple trend test with application to erythrocyte size d a t a , " Biometrics 6, 282-288. Users: T e r p s t r a (1956), Hemelrijk (1957). 10 Ellis, F . P. ( 1 9 5 3 ) , "Infective hepatitis and arsenotherapy hepatitis as it occurred a m o n g s t naval personnel in Portsmouth d u r i n g the 1939-1945 w a r , " The journal of Hygiene ( C a m b r i d g e University Press, C a m b r i d g e , E n g l a n d ) , 51, 146-156. Note: See p. 148, tests individual cell in χ 2 . 0 El S h a n a w a n y , M . R . ( 1 9 3 6 ) , " A n illustration of the accuracy of the χ 2 a p p r o x i m a t i o n , " Biometrica 28, 179-187. User: V o r a ( 1 9 5 1 ) . EN Ρ van Eiteren, P h . ( 1 9 5 7 ) , " T h e asymptotic distribution for large m of Terpstra's statistic for the problem of m r a n k i n g s , " Proceedings Konin\lijke Nederlandse A\ademie van Wetenschappen ( A) 60 (Indagationes Mathematicae 19), 522-534. E r r a t a : Sheet available. R e v i e w s : MR ( 1 9 5 7 ) 519, MR ( 1 9 5 9 ) 1109. GNP van Eiteren, Ph., " T h e asymptotic efficiency of F r i e d m a n ' s x r 2 -test." Abstract: Ann. Math. Statist. ( 1 9 5 8 ) 325. GN van Eiteren, P h . ( 1 9 6 0 ) , " O n the combination of independent two s a m p l e tests of W i l c o x o n , " Bulletin de l'Institut International de Statistique 37, 351-361. French s u m m a r y . R e v i e w : IfA ( 1 9 6 1 ) 73. Note: Also as a 1958 report. GX van Eiteren, Ph., a n d G . E . Noether ( 1 9 5 9 ) , " T h e asymptotic efficiency of the x r 2 -test for a balanced incomplete block d e s i g n , " Biometrica 46, 475-477. R e v i e w : IfA ( 1 9 6 0 ) 455. Users: N o e t h e r (1958, 1960). G van Eiteren, Ph., a n d W . F . van Peype ( 1 9 5 6 ) , " S o m e r a n k correlation m e t h o d s , " Statistica Neerlandica 10, 177-195. D u t c h ; E n g l i s h s u m m a r y . Review: MR ( 1 9 5 8 ) 187. User: Kesten a n d R u n n e n b u r g ( 1 9 5 6 ) . Gf Eltetö, Ö ( 1 9 5 6 ) , " O n the estimation of the standard deviation based on range and quasi-ranges," Publication of the Mathematical Institute of the Hungarian Academy of Sciences 1, 391-397. H u n g a r i a n ; E n g l i s h summary. PL Elveback, L i l a ( 1 9 5 8 ) , " E s t i m a t i o n of survivorship in chronic disease: the 'actuarial' m e t h o d , " /. Amer. Statist. Assoc. 53, 420-440. Note: " N o n p a r a m e t r i c " because there is a n arbitrary function to estimate, but " p a r a m e t r i c " ( m a x i m u m likelihood) in method (see G r e n a n d e r and Rosenblatt ( 1957) and K a p l a n a n d Meier ( 1958). G English, H o r a c e B . ( 1 9 5 7 ) , " T h e -iles that p l a g u e elementary statistics," Psychological Bulletin 54, 4 2 M 2 2 . X 85

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Eninger, M. U. (1951), "The role of irrelevant drive stimuli in learning theory," Journal of Experimental Psychology 41, 446-449. O Epstein, Benjamin (1948), "Application of the theory of extreme values in fracture problems," /. Amer. Statist. Assoc. 43, 403-412. Users: Gumbel and Greenwood (1951), Gumbel (1954a). LO Epstein, Benjamin (1949), "The distribution of extreme values in samples whose members are subject to a Markofï chain condition," Ann. Math. Statist. 20, 590-594. Review: MR (1950) 375. LN Epstein, Benjamin (1952), Estimates of Mean Life Based on the r'th Smallest Value in a Sample of Size η Drawn from an Exponential Distribution, Office of Naval Research Contract Nonr-451 (00) ( N R 042-017), Department of Mathematics, Wayne University, Detroit. Note: Not seen. LP Epstein, Benjamin, "A nonparametric two-sample life test." Abstract: Ann. Math. Statist. (1953) 142-143. G Epstein, Benjamin (1954), "Tables for the distribution of the number of exceedances," Ann. Math. Statist. 25, 762-768. Review: MR (1955) 380. Users: Epstein (1955), Romani (1956), Epstein (1957), Sarkadi (1957). GP Epstein, Benjamin (1955), "Comparison of some non-parametric tests against normal alternatives with an application to life testing," /. Amer. Statist. Assoc. 50, 894-900. Abstract: Ann. Math. Statist. (1954) 812. Reviews: MR (1956) 280, IJA-I (1957) 1091. Users: Mandel and Linnig (1956), Romani (1956), Epstein (1957). GKP Epstein, Benjamin (1957), "Life testing under the exponential assumption," Proceedings of the Wording Conference on the Theory of Reliability, held at New Yor^ University Conference Center, Gould House, Ardsley-on-Hudson (New York), 2-7. Note: See Par. 7. AG Epstein, Benjamin (1960), "Tests for the validity of the assumption that the underlying distribution of life is exponential: I and II," Technometrics 2, 83-101, 167-183. 0 Epstein, Benjamin (1960a), "Estimation from life test data," Technometrics 2, 447-454. DO Epstein, Benjamin, and M. Sobel (1952a), Some Tests Based on the First r Ordered Observations Drawn from an Exponential Distribution, Technical Report No. 6, Stanford University (Wayne University Technical Report No. 1, March 1, 1952). Abstract: Ann. Math. Statist. (1952) 143. User: Savage (1956). LP Erdös, P., and M. Kac (1947), "On the number of positive sums of independent random variables," Bull. Amer. Math. Soc. 53, 1011-1020. Review: MR (1948) 292. Users: E. S. Andersen (1949), Chung and Feller (1949), Darling (1951). Ν Erdös, P., and A. Rényi (1959), "On the central limit theorem for samples 86

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from a finite population," A Magyar Tudományos Akadémia Matematikai Kutató lntézeténe\ Kôzleményei 4, 49-61. Reviews: I]A (1959) 171, MR (1960) 1121. Ν Esscher, F. (1924), "On a method of determining correlation from the ranks of the variates," S\andinavis\ A\tuarietids\rift 7, 201-219. Users: Hoeffding (1947, 1948a), Moran (1948b), Blomqvist (1950), Moran (1950a), Salvemini (1951), Walter (1951), Dantzig and Hemelrijk (1954), Dantzig (1955), Kendall (1955b), Fieller, et al. (1957), Kruskal (1958). }NO Esseen, Carl-Gustav (1942), "On the Liapounoff limit of error in the theory of probability," Arkjv for Matemati\, Astronomi och Fysi\ 28A (9). Review: MR (1945) 232. Users: Esseen (1945, 1956), Wallace (1958). Ν Esseen, Carl-Gustav (1945), "Fourier analysis of distribution functions, A mathematical study of the Laplace-Gaussian law," Acta Mathematica 77, 1-125. Users: Chung (1948), Bergström (1949), Chung (1949), Bergström (1951), Vora (1951), Mulholland (1953), Gnedenko and Kolmogorov (1954), Stoker (1954a), Hoeffding (1955a), Shapiro (1955), Stoker (1955), Esseen (1956), Steck (1957), Chernoff and Savage (1958), Bergström (1959), Kiefer and Wolfowitz (1959), Bahadur and Rao (1960). Ν Esseen, Carl-Gustav (1956), "A moment inequality with an application to the central limit theorem," S\andinavis\ Akjtuarietids\rift 39, 160-170. Review: MR (1958) 777. User: Wallace (1958). Ν Evans, W. Duane (1942), "The standard error of percentiles," J. Amer. Statist. Assoc. 37, 367-376. Review: MR (1943) 103. GN Eysenck, H. J. (1939), "The validity of judgments as a function of the number of judges," Journal of Experimental Psychology 25, 650-654. MOP Faber, G. (1922), "Bemerkungen zu Sätzen der Gausschen theoria combinationis observationum," Sitzungsberichte der Mathematisch-Naturwissenschaftlichen Klasse der Bayerischen A\ademie der Wissenchaften zu München, 7-21. Users: Meideil (1923), Mises (1931a), Krafft (1937), Seiberg (1942), Bignardi (1947a), Munzer (1950). C Fager, E. W. (1957), "Determination and analysis of recurrent groups," Ecology 38, 586-595. O Farber, I. E., and Kenneth W. Spence (1953), "Complex learning and conditioning as a function of anxiety," Journal of Experimental Psycholo g y 45, 120-125. User: Grice and Davis (1957). O Farlie, D. J. G. (1960), "The performance of some correlation coefficients for a general bivariate distribution," Biometrica 47, 307-323. / Feder, E., and F. C. Andrews (1956), "Measurement of butter quality by 87

FEDERIGHI

chemical and flavor test," Journal of Farm Economics 38, 113-125. Note: Discrimination analysis. O Federighi, Enrico (1950), "The use of chi-square in small samples," American Sociological Review 15, 777-779. Users: F. Adler (1951), Chapín (1955), Sakoda and Cohen (1957). HN Feldt, L. S., and M. W. Mahmoud (1958), "Power function charts for specification of sample size in analysis of variance," Psychometri\a 23, 201-210. User: Patnaik (1949). GP Feller, William (1938), "Note on regions similar to the sample space," Statistical Research Memoirs 2, 117-125. Users: Camp (1942), Neyman (1942), Schefïé (1943a), Kendall (1948), Lehmann and Stein (1949), Hoefíding (1951b), Lehmann (1959). Β Feller, William (1945), "The fundamental limit theorems in probability," Bull. Amer. Math. Soc. 51, 800-832. Review: MR (1949) 310. Users: K. L. Chung (1948), Hoeffding (1948a), Moran (1948a), Good (1950), Moran (1950a, 1950b), Kendall (1955b), Mallows (1957). Ν Feller, William (1948), "On the Kolmogorov-Smirnov limit theorems for empirical distributions," Ann. Math. Statist. 19, 177-189. Review: MR (1948) 599. Users: Smirnov (1948), K. L. Chung (1949), Doob (1949), Kac (1949), Maniya (1949), Z. W. Birnbaum (1950), Kvit (1950), Massey (1950b), Feller (1951), Lehmann (1951), Massey (1951a, 1951b), Z. W. Birnbaum (1952), Drion (1952), Gihman (1952a), Juvancz and Lipták (1952), Rényi (1953a), Waerden (1953b), Hoeffding (1954), Stoller (1954), Hoeffding and Rosenblatt (1955), Munter (1955), Stoker (1955), Blackman (1956), Klose (1956), Miller (1956), Waerden (1957), Scheid (1958), Schmid (1958), Capon (1959), Carvalho (1959), Kiefer (1959), Wilks (1959), Bell (1960), Quandt (1960). EFN Feller, William (1950), An Introduction to Probability Theory and its Applications, Vol. I, Wiley, New York, xii, 419. Reviews: MR (1951) 424, Scripta Mathematica (1952) 283. Users: 56 users have been recorded. Ν Feller, William (1951), "The asymptotic distribution of the range of sums of independent random variables," Ann. Math. Statist. 22, 427-432. Review: MR (1952) 140. Users: Darling and Siegert (1953), Gihman (1953b), Kemperman (1959). LN Feller, William (1957), An Introduction to Probability Theory and its Applications, Vol. I, 2nd ed., Wiley, New York, xv, 461. Reviews: /. Amer. Statist. Assoc. (1958) 215, f . Roy. Statist. Soc. (A) (1958) 354, Mathematics Magazine (1958) 43, MR (1958) 466. Users: 60 users have been recorded. Note: II. 5. a., p. 60, p. 180x11, xiii.7.8 runs; p. 69, GaltonHodges problem; IX.6,7, p. 227x40, Tchebycheff's inequality. These details do not fairly indicate that this book is indispensable for nonparametric 88

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theory because of its wealth of information on combinatorial probability and limit theorems. Ν Ferguson, E. D. (1957), "An evaluation of two types of kindergarten attendance programs," Journal of Educational Psychology 48, 287-301. Note: Rank correlation. 0 Ferguson, Thomas S. (1958), "A method of generating best asymptotically normal estimates with application to the estimation of bacterial densities," Ann. Math. Statist. 22, 1046-1062. Review: MR (1959) 1108. EG Ferguson, Thomas S., and Charles H. Kraft, "A run test of the hypothesis that the median of a stochastic process is constant." Abstract: Ann. Math. Statist. (1955) 770. / Féron, Robert (1956), "Information, régression, corrélation," Publications de l'Institut de Statistique de l'Université de Paris 5, 113-215. Review: MR (1958) 1027. Note: University of Paris thesis. J Festinger, Leon (1943), "A statistical test for means of samples from skew populations," Psychometri\a 8, 205-210. Review: MR (1944) 128. Users: Kendler and Levine (1951), Buss (1953), Stevenson and Iscoe (1954, 1955), Stevenson, Iscoe, and McConnell (1955). GΚ Festinger, Leon (1946), "The significance of difference between means without reference to the frequency distribution function," Psychometri\a 11, 97-105. Review: MR (1947) 43. Users: Cronbach (1949), Bersh (1951), Hubbard (1951), Walter (1951), Kruskal and Wallis (1952), Moses (1952), Auble (1953b), Brandauer (1953), Garvey (1953), N. Guttmann (1953), Lambert, Lambert, and Watson (1953), Snedecor (1953a), Calvin and Siebel (1954), Jonckheere (1954b), Lubin (1954), Adelman and Maatsch (1955), Stevenson and Iscoe (1955), Adelman and Maatsch (1956), Vaart (1956), Dixon and Massey (1957), Konijn (1957), Lykken (1957), Sawrey (1958), Ryan (1960). GP Fevell, A. J., and S. M. Rybicka (1951), "Quality control chart based on goodness-of-fit test," Nature 167, 194-195. E Fieller, E. C., H. O. Hartley, and E. S. Pearson (1957), "Tests for rank correlation coefficients. I," Biometrica 44, 470-481. Reviews: MR (1958) 782, Math. Tables Aids Comput. (1960) 291. Users: Kruskal (1958), Farlie (1960). JP Finch, D. J. (1950), "The effect of non-normality on the 2-test when used to compare the variances in two populations," Biometrica 37, 186-189. Review: MR (1951) 38. Users: Box (1953), J. V. Bradley (1959b), Siegel and Tukey (1960). KP Finkel'stein, Β. V. (1953), "On the limiting distributions of the extreme terms of a variation series of a two-dimensional random quantity," Doklady Akademii Nau\ SSSR (N.S.) 91, 209-211. Russian. Review: MR ( 1954) 444. User: Gumbel ( 1960). LN 89

FINLEY

Finley, J. P. (1884), "Tornado predictions," American Meteorological ìournal 1, 85-88. Users: Gilbert (1884), Goodman and Kruskal (1959). HO Finley, N., and M. R. Johnston (1957), "Influence of plastic vat covers on the fermentation of cucumbers," Food Technology 11, 437-443. Note: Paired comparisons. O Finney, D. J. (1947), "The significance of associations in a square point lattice," /. Roy. Statist. Soc. (B) 9, 99-103. Review: MR (1948) 291. Users: Krishna Iyer (1949b), B. V. Sukhatme (1949a, 1949b), Bose (1950), Freeman (1953), Bloemena (1960). IN Finney, D. J. (1948), "The Fisher-Yates test of significance in 2 X 2 contingency tables," Biometria 35, 145-156. Reviews: MR (1949) 52, Math. Tables Aids Comput. (1949) 359. Users: Pearson and Merrington (1948), Westenberg (1952), Katz (1953), Katz and Powell (1953), Latscha (1953), Wise (1954), L. V. Jones (1955), Bross and Kasten (1957), Mednick and Lindsley (1958), Harkness (1959), Bennett and Hsu (1960). HP Fisher, Ronald A. (1922), "On the interpretation of chi-square from contingency tables, and the calculation of p," J. Roy. Statist. Soc. 85, 87-94. Users: Fisher (1923, 1924), Neyman and Pearson (1928), Harris and Tu (1929), Kondo (1929), Yates (1934), O. N. Anderson (1935), Bartlett (1935b), Eisenhart (1935), Cochran (1936), Treloar (1939), Haldane (1940), Sawkins (1941), Wilks (1943), Cramér (1946), Kendall (1948), Yates (1948), Lancaster (1949a), Cochran (1952), Lancaster (1953), Roy and Mitra (1956), S. Ν. Roy (1957), Steck (1957), Bhapkar (1959), Steyn (1959), Kupperman (1960), Bhapkar (1961). Note: Reprinted in Fisher (1950). HN Fisher, Ronald A. (1923), "Statistical tests of agreement between observation and hypothesis," Economica 8, 1-9. Users: Ο. N. Anderson (1935), Eisenhart (1935), Kendall (1948), Elderton (1953), Lancaster (1953). Note: Reprinted in Fisher (1950). EN Fisher, Ronald A. (1924), "The conditions under which x 2 measures the discrepancy between observation and hypothesis," /. Roy. Statist. Soc. 87, 442-450. Users: Fisher (1928), Fry (1928), Neyman and Pearson (1928), Ο. N. Anderson (1935), Eisenhart (1935), Cramér (1946), Kendall (1948), Lancaster (1949a), Bartlett (1951), Cochran (1952), Elderton (1953), Lancaster (1953), Gephart (1955), McHugh (1956), Watson (1957a, 1958), J. V. Bradley (1959b), Lehmann (1959). Note: Reprinted in Fisher (1950). E Fisher, Ronald A. (1926a), "Bayes' theorem and the fourfold table," Eugenics Review 18, 32-33. Users: Yates ( 1934), Fisher ( 1948). HN Fisher, Ronald A. (1926b), "On the random sequence," Quarterly Journal 90

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of the Royal Meteorological Society 52, 250. Users: Wallis and Moore (1941a), Scheffé (1943b), Wolfowitz (1943), Levene and Wolfowitz (1944), Fisher (1948), Wilks (1948), Barton and David (1959). IN Fisher, Ronald A. (1928), "On a property connecting the x 2 measure of discrepancy with the method of maximum likelihood," Atti del Congresso Internazionale dei Matematici (Bologna) 6, 95-100. Users: Kendall (1948), Watson (1958), J. V. Bradley (1959b). Note: Reprinted in Fisher (1950). EN Fisher, Ronald A. (1929), "Tests of significance in harmonic analysis," Proceedings of the Royal Society of London 125, 54-59. Users: Chandra Sekar and Francis (1941), Moran (1947c), Whittle (1951), Darling (1953), Barton and David (1955). Note: Reprinted in Fisher (1950). Ν Fisher, Ronald A. (1935), "The logic of inductive inference," /. Roy. Statist. Soc. 98, 39-82. Users: E. S. Pearson (1947), Anscombe (1948), Westenberg (1948), Tocher (1950), Westenberg (1950a), Simpson (1951), Walter (1951), Bross and Delaney (1952), Westenberg (1952), Eeden (1953a), Haldane (1955b), Blom (1958), Cox (1958), Harkness (1959), Weichselberger (1959), Bennett and Hsu (1960). Note: Example 1. With discussion. Reprinted in Fisher (1950). Η Fisher, Ronald A. (1941), "The interpretation of experimental four-fold tables," Science (N.S.) 94, 201-211. Review: MR (1943) 26. Users: Fisher (1945), E. S. Pearson (1947), Bonnier (1952). Η Fisher, Ronald A. (1945), "A new test for 2 X 2 tables," Nature 156, 388. Users: E. S. Pearson (1947), Tocher (1950). Η Fisher, Ronald A. (1949), The Design of Experiments, 5th ed., Hafner, New York, and Oliver and Boyd, Edinburgh, xi, 242. Users: 45 users have been recorded. Note: Stresses randomization. First edition 1935. G Fisher, Ronald A. (1950), "The significance of deviations from expectation in a Poisson series," Biometrics 6, 17-24. Users: Bartlett (1951), Cochran (1952), Chakravarti and Rao (1959). EP Fisher, Ronald A. (1950a), Contributions to Mathematical Statistics, Wiley, New York. Review: British Journal of Statistical Psychology (1953) 53. Users: Fisher (1922, 1923, 1924, 1928, 1929, 1935), Fisher and Tippett (1928), Bush and Mosteller (1955), Féron (1956). A Fisher, Ronald A. (1950b), Statistical Methods for Research Workers, 11th ed., Hafner, New York, xvi, 356. Users: 184 users have been recorded. Note: Fisher (1925b, 1932, 1948) are superseded by this entry. First edition 1925. A Fisher, Ronald Α., and L. H. C. Tippett (1928), "Limiting forms of the frequency distribution of the largest or smallest member of a sample," 91

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Proceedings of the Cambridge Philosophical Society 24, 180-190. Users: Gumbel (1935), Gnedenko (1943), Gumbel (1944), Cramer (1946), Mosteller (1946), Gumbel (1947), D. R. Cox (1948), Epstein (1948), Kendall (1948), Wilks (1948), Gumbel (1949), Juncosa (1949), Gumbel and Keeney (1950b), Moriguti (1951), Gumbel (1953a, 1953b), A. I. Johnson (1953), Lieblein (1953), H. A. David (1954), Gumbel (1954a), Blom (1958), Dronkers (1958), Kendall (1958), Kendall and Stuart (1958), Geffroy (1959). Note: Reprinted in Fisher (1950). LNP Fisher, Ronald Α., and Frank Yates (1957), Statistical Tables for Biological, Agricultural, and Medical Research, 5th ed., Oliver and Boyd, Edinburgh, χ, 138. Errata: Math. Tables Aids Comput. (1950) 27. Reviews: Math. Tables Aids Comput. (1944) 316, MR (1949) 740. Users: 89 users have been recorded. Note: Fisher and Yates (1948, 1953b) are superseded by this entry. First edition 1938. Ρ Fishman, J. A. (1957), "The MTAI in an American minority group school setting. I. Differences between test characteristics for norm and non-norm population," Journal of Educational Psychology 48, 41-51. Note: Twoway rank analysis of variance. O Fiske, Donald W., and Jack W. Dunlap (1945), "A graphical test for the significance of differences between frequencies from different samples," Psychometri\a 10, 225-229. Users: Swineford (1946), Jurgensen (1947). E Fisz, M. (1955), "A generalization of a theorem of Khintchin," Studia Mathematica 14, 310-313. Ν Fisz, M. (1957), "A limit theorem for empirical distribution functions," Bulletin de ΓAcademie Polonaise des Sciences (III) 5, 695-698. Russian summary. Review: MR (1958) 693. Users: Chang and Fisz (1957a), H. T. David (1958), Kiefer ( 1959), Dwass (1960b). FN Fisz, M. (1958), "A limit theorem for empirical distribution functions," Studia Mathematica 17, 71-77. Review: MR (1959) 915. User: Fisz (1960). Note: Several sample Kolmogorov-Smirnov statistics. FN Fisz, M. (1958a), Wahrscheinlichkeitsrechnung und Mathematische StatistiVEB Deutscher Verlag der Wissenschaften, Berlin, 528. Translation from the Second Polish Edition. Reviews: MR (1955) 492, Theory of Probability and Its Applications (1959) 336. Note: Not seen. Ν Fisz, M. (1960), "On a result by M. Rosenblatt concerning the von MisesSmirnov test," Ann. Math. Statist. 31, 427-429. Review: I]A (1961) 312. FN Fisz, M. (1960a), "Some non-parametric tests for the ^-sample problem," Colloquium Mathematicum 7, 289-296. Review: MR (1961) 533. AF Fix, Evelyn (1949), "Tables of noncentral χ2," University of California Publications in Statistics 1, 15-19. Reviews: Math. Tables Aids Comput. 92

FORD (1950) 206, MR (1951) 344. Users: F . N . David (1950a), Pearson and Hartley (1951), Cochran (1952), Andrews (1954), Cochran (1954), Barton (1955), R. A . Bradley (1955), Duncan ( 1 9 5 5 ) , Cusimano (1957), Pendergrass and Bradley ( 1 9 5 7 ) , Mitra ( 1 9 5 8 ) , Fix, Hodges, and Lehm a n n (1959), Pendergrass and Bradley (1959, 1960). Ρ Fix, Evelyn, and J. L . Hodges, Jr. (1951), Discriminatory Analysis; Nonparametric Discrimination (Consistency Properties), Report N o . 4, Project N o . 21-49—004, U S A F School of Aviation Medicine, Randolph Field, Texas. Users: C. R. R a o ( 1 9 5 4 ) , Stoller (1954), Feder and Andrews (1956), M. Rosenblatt (1956), Johns (1961). G Fix, Evelyn, and J. L . Hodges, Jr. ( 1 9 5 2 ) , Discriminatory Analysis; Nonparametric Discrimination, Small Sample Performance, Report N o . 11, Project N o . 21-49-004, U S A F School of Aviation Medicine, Randolph Field, Texas. Users: Stoller (1954), Feder and Andrews (1956), Johns (1961). GP F i x , Evelyn, and J. L . Hodges, Jr. (1955), "Significance probabilities of the Wilcoxon test," Ann. Math. Statist. 26, 301-312. Reviews: MR (1955) 1133, /. Amer. Statist. Assoc. (1957) 96. Users: Vaart (1956), Sobel (1957), Sawrey (1958), Vaart (1958), L e h m a n n (1959), Lindgren and McElrath (1959), Halperin (1960), Siegel and T u k e y (1960), Wetherill ( 1 9 6 0 ) , Witting ( I 9 6 0 ) . GP F i x , Evelyn, J. L . Hodges, Jr., and E . L . L e h m a n n (1959), " T h e restricted chi-square test," Probability and Statistics, ed. Ulf Grenander, Wiley, N e w York, 92-107. Reviews: MR (1960) 1242, Math. Tables Aids Comput. (1961) 90. EP Flatto, Leopold, and A . G . Konheim, " T h e random division of an interval and a problem of Dvoretzky." Abstract: Notices of the American Mathematical Society (1961) 139. LN Flavell, John H . , Juris Draguns, Leonard D . Feinberg, and William Budin (1958), " A microgenetic approach to word association," Journal of Abnormal and Social Psychology 57, 1-7. Note: Uses Wilson (1956) and Wilcoxon one-sample. 0 Fletcher, John L . (1957), "Pure-tone thresholds following stimulation by narrow-band filtered noise," Psychological Monographs, General and Applied 71 (No. 433). Note: Wilcoxon procedures. O F o g , David (1953), "Contingency tables and approximate χ 2 distributions," Mathematica Scandinavica 1, 93-103. Review: MR (1954) 141. User: Corsten (1957). Η Folger, John (1953), Confidence Limits Tables for Samples of Binomially Distributed Data, H u m a n Resources Institute, Maxwell Air Force Base, Alabama, 12. Review: /. Amer. Statist. Assoc. ( 1 9 5 4 ) 201. GP Ford, L . R. (1957), "Solution of a ranking problem from binary com93

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parisons," American Mathematical Monthly 64 (8) (Suppl.), 28-33. Review: MR (1959) 720. Users: Pendergrass and Bradley (1959), Block and Marschak (1960), Bradley and Pendergrass (1960), Pendergrass and Bradley (1960). GN Fortet, Robert (1958), "Some aspects of analysis and probability," Recent Advances in Probability Theory, Surveys in Applied Mathematics 4, Wiley, New York, 169-240. Review: MR (1959) 1017. Note: Not seen. Ν Foster, F. G., and A. Stuart (1954), "Distribution-free tests in time-series based on the breaking of records," J. Roy. Statist. Soc. (Β) 16, 1-22. Reviews: MR (1955) 385, /. Amer. Statist. Assoc. (1956) 372. Users: Stuart (1954b), Cox and Stuart (1955), Foster and Teichroew (1955), McFadden (1955), Munter (1955), Noether (1956), Savage (1957b), Stuart (1957a), Kendall (1958), Kendall and Stuart (1958), Stuart ( 1958). Note: With discussion. IN OP Foster, F. G., and D. Teichroew (1955), "A sampling experiment on the powers of the records test for trend in a time series," /. Roy. Statist. Soc. (Β) 17, 115-121. Reviews: J. Amer. Statist. Assoc. (1956) 372, MR (1956) 382. INP Franckx, Ed. (1953), "Sur le comportement stochastique des itérations favorables," Bulletin de la Société Royale des Sciences de Liège 22, 417— 420. Review: MR (1954) 541. Ν Fraser, Donald A. S. (1950), "Note on the χ 2 smooth test,' Biometrica 37, 447-448. Review: MR (1951) 345. EN Fraser, Donald A. S. (1951), "Sequentially determined statistically equivalent blocks," Ann. Math. Statist. 22, 372-381. Review: MR (1952) 260. Users: Jirina (1952), Fraser (1953a), Kemperman (1956), Saunders (1956), Fraser (1957), Somerville (1958), Saunders (1960). D Fraser, Donald A. S., "Non-parametric theory: Confidence regions and tests for location and scale parameters." Abstract: Ann. Math. Statist. (1952) 477. G Fraser, Donald A. S., "Characterization of tolerance regions." Abstract: Ann. Math. Statist. (1953) 693. D Fraser, Donald A. S. (1953a), "Nonparametric tolerence regions," Ann. Math. Statist. 24, 44-55. Review: MR (1953) 889. Users: Saunders (1956), Fraser (1957), Somerville (1958), Schmetterer (1959), Wilks (1959), Saunders (1960). D Fraser, Donald A. S., "Completeness of the order statistics in the nonparametric case." Abstract: Ann. Math. Statist. (1953b) 139. User: Fraser and Guttman (1956). Β Fraser, Donald A. S., "A nonparametric model for the linear hypothesis." Abstract: Ann. Math. Statist. (1953c) 693. G 94

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Fraser, Donald A. S. (1954), "Non-parametric theory: scale and location parameters," Canadian Journal of Mathematics 6, 46-72. Review: MR (1954) 727. Users: Bell (1954), Fraser (1956a, 1957, 1957a), Konijn (1957), Lehmann (1957), Sukhatme (1958), Lehmann (1959), Schmetterer (1959), Walsh (1960). BG Fraser, Donald A. S. (1954a), "Completeness of order statistics," Canadian Journal of Mathematics 6, 42-45. Review: MR (1954) 725. Users: Bell (1954), Fraser (1957), Lehmann (1957, 1959), Schmetterer (1959), Bell, Blackwell, and Breiman (1960). Β Fraser, Donald A. S. (1956), "A vector form of the Wald-WolfowitzHoeffding theorem," Ann. Math. Statist. 27, 540-543. Review: MR (1956) 1219. User: Pfanzagl (1959). Ν Fraser, Donald A. S. (1956a), "Sufficient statistics with nuisance parameters," Ann. Math. Statist. 27, 838-842. BG Fraser, Donald A. S. (1957), Non-parametric Methods in Statistics, John Wiley, New York, x, 289. Reviews: American Mathematical Monthly (1957) 684, Bulletin of the Statistical Society of New South Wales (1957) 38, /. Amer. Statist. Assoc. (1957) 384, J. Roy. Statist. Soc. (A) (1957) 480, MR (1957) 773, Science (1957) 979, Trabajos de Estadística (1957) 136, Biometria (1958) 591, Human Biology (1958) 103, ?sychometri\a (1959) 279, Scripta Mathematica (1959) 327, SIAM Review (1959) 174. Users: Savage (1957a), Schuette (1957), Siegel (1957), Chernoff and Savage (1958), Chou (1958), Fraser (1958), Savage (1958), Buehler (1959), Capon (1959, 1959a), Lehmann (1959), McElrath and Bearman (1959), Pfanzagl (1959), Quenouille (1959), Schmetterer (1959), Sethuraman and Sukhatme (1959), Uhlmann (1959), Walter (1959a), Wilks (1959), Bell (1960), Bell, Blackwell, and Breiman (1960), Capon (1960), Freund (1960), Sukhatme (1960), Tamura (1960), Capon (1961). Β Fraser, Donald A. S. (1957a), "Most powerful rank-type tests," Ann. Math. Statist. 28, 1040-1043. Review: MR (1959) 383. User: Savage (1959). BG Fraser, Donald A. S. (1958), Statistics: An Introduction, Wiley, New York, ix, 398. Reviews: J. Amer. Statist. Assoc. (1959) 814, Trabajos de Estadística (1959) 55, American Mathematical Monthly (1960) 397, Biometrica (I960) 211, J. Roy. Statist. Soc. (A) (1960) 201, MR (I960) 74. User: Hoel (1960). Note: See Ch. 16. A Fraser, Donald A. S., and Irwin Guttman (1956), "Tolerance regions," Ann. Math. Statist. 27, 162-179. Abstract: Ann. Math. Statist. (1954) 812. Reviews: MR (1956) 871, Math. Tables Aids Comput. (1957) 28, QCAS (1957) 267. Users: Saunders (1956), Fraser (1957), Schmetterer (1959), Saunders (1960). Note: See Sec. 1.5. D Fraser, Donald A. S., and R. Wormleighton (1951), "Nonparametric esti95

FRECHET

mation IV," Ann. Math. Statist. 22, 294-298. Review: MR (1951) 841. Users: Fraser (1951, 1953a), Kemperman (1956), Saunders (1956), Fraser (1957), Saunders (1960). D Fréchet, Maurice (1927), "Sur la loi de probabilité de l'écart maximum," Annales de la Société Polonaise de Mathématique 6, 93-116. Users: Gumbel (1935), Gnedenko (1943), Wilks (1948), Juncosa (1949), Gumbel and Keeney (1950b), Rényi (1953a), Gumbel (1954), Blom (1958), Kendall and Stuart (1958), Geffroy (1959). LN Fréchet, Maurice (1931), "Le generalizzazione della ineguaglianza di Bienaymé," Giornale dell'Istituto Italiano degli Attuari II, 22-36. Users: Beretta (1941), Bignardi (1947a). C Fréchet, Maurice (1934-35), "Sur deux relations simples entre le 'coefficient' de correlation et le 'rapport' de correlation," Comptes-rendus du Deuxième Congres des Mathématiciens des Pays Slaves, in Öasopis Pro Pestováni Matematiky a Fysi\y Cast Védec\a 64, 209-210. User: Kruskal (1958). H Fréchet, Maurice (1946), "A general method of constructing correlation indices," Proceedings of the Mathematical and Physical Society of Egypt 3 (2), 13-20. User: Goodman and Kruskal (1959). H Fréchet, Maurice (1947), "Anciens et nouveaux indices de correlation. Leur application au calcul des retards économiques," Econometrica 15, 1-30. Errata: Ibid. (1947) 374. Users: Salvemini (1954), Féron (1956), Goodman and Kruskal (1959). H Fréchet, Maurice (1947a), "The general relation between the mean and the mode for a discontinuous variate," Ann. Math. Statist. 18, 290-293. Review: MR (1948) 45. X Fréchet, Maurice (1950), Recherches Théoriques Modernes sur la Théorie des Probabilités, 2nd ed., Gauthier-Villars, Paris. Users: Fréchet (1931), Beretta (1941), Barnard (1944), Κ. L. Chung (1948), Neyman (1949), Dantzig (1951b), Stanoyevitch (1954), Birnbaum and Marshall (I960). Note: Not seen. See 130-168. First edition 1937. C Fréchet, Maurice (1956), "Sur les tableaux de corrélation dont les marges sont données," Comptes Rendus (Paris) 242, 2426-2428. Review: MR (1956) 1217. User: Goodman and Kruskal (1959). C Fréchet, Maurice, et al. (1935), "Sur l'usage du coefficient de corrélation," Bulletin de l'Institut International de Statistique 28, 25-52. H Freeburne, Cecil M., and Marvin Schneider (1955), "Shock for right and wrong responses during learning and extinction in human subjects," Journal of Experimental Psychology 50, 181-186. O Freedman, D. G. (1958), "Conditional and environmental interactions in rearing of four breeds of dogs," Science 121, 585-586. Note: MannWhitney test and Friedman analysis of variance. O 96

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Freeman, G. H. (1953), "Spread of diseases in a rectangular plantation with vacancies," Biometrica 40, 287-296. Users: Barton, David, and Mallows (1958), Barton and David (1959a). IN Freeman, G. H., and J. H. Halton (1951), "Note on an exact treatment of contingency, goodness of fit and other problems of significance," Biometrica 38, 141-149. Review: MR (1952) 145. Users: Cochran (1952), C. C. Craig (1953), Mosteller (1953), Cochran (1954), Mayo (1957), Sakoda and Cohen (1957), Myers (1958a), Sawrey (1958), J. V. Bradley (1959b). GH Freimer, Marshall, and Bernard Gold (1960), "Note on the distribution of locally maximal elements in a random sample," Ann. Math. Statist. 31, 518. Ν Freimer, Marshall, Bernard Gold, and A. L. Tritter (1959), "The Morse distribution," Institute of Radio Engineers Transactions on Information Theory, IT-5, 25-31. User: Freimer and Gold (1960). Ν Freund, John E. (1951), "The transfer distribution," Mathematics Magazine 25, 63-66. IN Freund, John E. (1954), A Test of Randomness Based on Restricted Occupancy Theory, Technical Report No. 4, Department of Statistics and Statistical Laboratory, Virginia Agricultural Experiment Station, Virginia Polytechnic Institute, Blacksburg, 18 + 4 tables. User: Freund and Pozner (1954). INP Freund, John E. (1960), Modern Elementary Statistics, 2nd ed., PrenticeHall, Englewood Cliffs, New Jersey, 413. Review: /. Amer. Statist. Assoc. (1953) 367. Users: Ladegast (1953), Freund and Williams (1958). Note: See Sees. 12.1 and 12.2, Ch. 13, Secs. 16.1 and 16.2. A Freund, John E., and A. R. Ansari (1957), Two-way Ran\ Sum Test for Variances, Technical Report No. 34, Virginia Polytechnic Institute, Blacksburg, supported by the Office of Ordnance Research and National Science Foundation, 13. Users: Chernoff and Savage (1958), Ansari and Bradley (1960), Siegel and Tukey (1960). G Freund, John E., and Arthur N. Pozner (1956), "Some results on restricted occupancy theory," Ann. Math. Statist. 27, 537-540. Review: MR (1956) 1221. User: Barton and David (1959a). Note: Also as (1954) report. Ν Freund, John E., and Arthur N. Pozner, "On the consistency of subjective ratings." Abstract: J. Amer. Statist. Assoc. (1956a), 509. M Freund, John E., and Frank J. Williams (1958), Modern Business Statistics, Prentice-Hall, Englewood Cliffs, New Jersey, xv, 539. User: Freund (1960). Note: See Sees. 11.3, 12.2, 12.3, 14.5. A Friedman, Ira (1955), "Phenomenal, ideal, and projected conceptions of self," journal of Abnormal and Social Psychology 51, 611-615. O Friedman, Milton (1937), "The use of ranks to avoid the assumption of 97

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normality implicit in the analysis of variance," /. Amer. Statist. Assoc. 32, 675-701. Users—Class 0 (Applications): Kendall and Smith (1939), Schultz (1945), Wilcoxon (1950), Bersh (1951), Moses (1952a), Garvey (1953), Knowles, Garvey, and Newlin (1953), Lollar (1953), Adams, Fitts, and Rappaport (1954), R. A. Butler (1954), Garvey and Knowles (1954), Lincoln (1954), Lincoln and Alexander (1955), Noble (1955a, 1955b), Anger (1956), Bradley and Arginteanu (1956b), Fishman (1957). Users—Other classes: W. R. Thompson (1938), Wallis (1939), Friedman (1940), Nair (1940a), Wallis and Moore (1941a), Kendall (1942a), Wolfowitz (1942), Bliss, Anderson, and Marland (1943), Schefïé (1943b), Wilcoxon (1945), Kendall (1948), Wilks (1948), P. O. Johnson (1949), Wilcoxon (1949), Janko (1950), Blomqvist (1951), Brown and Mood (1951), Stuart (1951), Ehrenberg (1952), Kruskal and Wallis (1952), Lyerly (1952), Rijkoort (1952), Wallis (1952), Benard and Elteren (1953), Kendall and Sundrum (1953), Morris and Burt (1953), Moses (1953), Dantzig and Hemelrijk (1954), Lubin (1954), Amato (1955), Chapin (1955), Dantzig (1955), Lamke (1955), Cartwright (1956), Eiteren and Peype (1956), Eiteren (1957), Pendergrass and Bradley (1957), Tate and Clelland (1957), Doornbos and Prins (1958), Eiteren (1958 abstract), R. L. Anderson (1959), Bhapkar (1959), Diamond (1959), Eiteren and Noether (1959), Pendergrass and Bradley (1959), Starks and David (1959), Wilks (1959), Wormleighton (1959), Bradley and Pendergrass (1960), Dale (1960), Pendergrass and Bradley (1960). GNP Friedman, Milton (1940), "A comparison of alternative tests of significance for the problem of m rankings," Ann. Math. Statist. 11, 86-92. Review: MR (1940) 348. Users: Wallis and Moore (1941a), Kendall (1942a), Schwartz and Fox (1942), Schefïé (1943b), Kendall (1948), Ehrenberg (1951), Kruskal and Wallis (1952), Moses (1952), Wallis (1952), Morris and Burt (1953), Rijkoort and Wise (1953), Snedecor (1953), Amato (1955), Kendall (1955b), Tate and Clelland (1957), R. L. Anderson (1959). MNP Frijda, Nico H. (1958), "Facial expression and situational cues," Journal of Abnormal and Social Psychology 57, 148-154. Note: Fisher exact 2 X 2 test. O Frisch, Ragnar (1926), "Impossibilité de resserrer l'inégalité de Markov dans le cas général," Comptes Rendus du Sixième Congrès des Mathématiciens Scandinaves (Copenhague du 31 Août au 4 Septembre 1925), 203-206. C Frisch, Ragnar (1952), The Occurrence Test, Memorandum fra Universitets Social0konomiske Institut (Studentabonnement, Serie 9, Nr. 6), 52. Note: 98

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Details of the test statistic, number of Ν cells with at least one observation in a sample of n. See Tsao (1955). See also Memorandum 9 of 1951. EP Fry, Thornton C. (1928), Probability and its Engineering Uses, Van Nostrand, New York, xiv, 476. Users: Olds (1938b), Eisenhart and Wilson (1943), Wilks (1943), Kendall (1948), H. A. Thomas (1948), Hemelrijk (1950a, 1950c), Moroney (1951), W. R. J. Brown (1952), Eeden (1953), E. S. Smith (1953), Eeden (1954), D. R. Cox (1955), Feller (1957). ENP Fry, Thornton C. (1938), "The χ2 test of significance," /. Amer. Statist. Assoc. 33, 513-525. Users: Berkson (1938), Camp (1938), Deming (1938), Kendall (1948), Lewis and Burke (1949), Dixon and Massey (1957), J. V. Bradley (1959b). E Fulcher, John S., and J. Zubin (1942), "The item analyzer: a mechanical device for treating the four fold table in large samples," Journal of Applied Psychology 26, 511-522. HP Gabriel, K. R. (1959), "The distribution of the number of successes in a sequence of dependent trials," Biometrica 46, 454-460. Review: I]A (1960) 492. User: Billingsley (1961). IN Gage, Robert (1943), "Contents of Tippett's 'Random Sampling Numbers,'" /. Amer. Statist. Assoc. 38, 223-227. Review: MR (1943) 223. 10 Galinat, W. C., and H. L. Everett (1949), "A technique for testing flavor in sweet corn," Agronomy Journal 41, 443-445. Users: Calvin (1954), Pendergrass and Bradley (1957, 1960). O Gardner, A. (1952), "Greenwood's 'problem of intervals': an exact solution for Ν = 3," J. Roy. Statist. Soc. (B) 14, 135-139. Review: MR (1953) 186. User: Moran (1953). NP Gardner, Robert S. (1950), A Non-Parametric Test for the Hypothesis That Two Bivariate Samples Come from the Same Population, Appendix from Technical Memo. No. 4542-33, Naval Ordnance Test Station, Inyokern, California. Review: MR (1951) 193. Note: Not seen. FN Gartaganis, Arthur J., and Arthur S. Goldberger (1955), "A note on the statistical discrepancy in the national accounts," Econometrica 23, 166— 173. Note: Kolmogorov-Smimov goodness-of-fit test; Mann-Kendall test for trend; Wallis-Moore test. O Gartstein, Β. N. (1948), "On certain limit laws for the range," Doblad y Akademii Nau\ SSSR (N.S.) 60, 1119-1121. Russian. Review: MR (1949) 51. LN Gartstein, B. N. (1955), "On the limit joint distribution of central range and median of a variational series," Uzgorods\ii Gosudarstvennyi Uni99

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versitet. Nauchnye Zapisfy. Izdatel'stvo h'vovs\ogo Gosudarstvennogo Universiteta 12, 111-127. Russian. Review: MR (1959) 1346. Note: Not seen. L Garvey, William David (1953), "The intelligibility of speeded speech," Journal of Experimental Psychology 45, 102-108. 0 Garvey, William David, and W. B. Knowles (1954), "Response time patterns associated with various display-control relationships," Journal of Experimental Psychology 47, 315-322. O Gauss, C. F. (1821), Theoria Combinationis Observationum, Vol. 4, Werke; Kaestner, Göttingen, 1880. Latin. Users: Mises (1931a), Krafft (1937), Treloar (1939), Selberg (1942), Münzner (1950). Note: See pp. 10-11. C Gayen, A. K. (1949), "The distribution of 'Student's't in random samples of any size drawn from non-normal universes," Biometrica 36, 353-369. Reviews: MR (1950) 447, Math. Tables Aids Comput. (1950) 207. Users: Gayen (1950a), E. S. Pearson (1950b), David and Johnson (1951c), R. A. Bradley (1952b), Gayen (1952), Box (1953), Weibull (1953), Gephart (1955), Srivastava (1958), Wallace (1958), J. V. Bradley (1959b), Srivastava (1959). KP Gayen, Α. Κ. (1950a), "The distribution of the variance ratio in random samples of any size drawn from non-normal universes," Biometrica 37, 236-255. Reviews: MR (1951) 144, Math. Tables Aids Comput. (1951) 144. Users: Gayen (1950b), David and Johnson (1951a, 1951c), Box (1953), Weibull (1953), H. A. David (1954), Box and Andersen (1955), Gephart (1955), Kendall and Stuart (1958), B. Sukhatme (1958), F. N. David (1959), Schefïé (1959), Srivastava (1959), Boneau (1960), Siegel and Tukey (1960). GP Gayen, A. K. (1950b), "Significance of difference between the means of two non-normal samples," Biometrica 37, 399-408. Review: MR (1951) 345. Users: David and Johnson (1951c), Box (1953), Gephart (1955), J. V. Bradley (1959b), Boneau (1960), Sollberger (1960), Wetherill (1960). GKP Gayen, A. K. (1951), "The frequency distribution of the product-moment correlation coefficient in random samples of any size drawn from nonnormal universes," Biometrica 38, 219-247. Reviews: MR (1952) 86, Math. Tables Aids Comput. (1952) 86. Users: Quenouille (1952), Weibull (1953), Schaeffer and Levitt (1956), Fieller, et al. (1957), Wallace (1958), Srivastava (1960). ]KNP Gayen, A. K. (1952), "The inverse hyperbolic sine transformation on Student's t for non-normal samples," SanChyä 12, 105-108. Review: MR (1953) 995. Κ Geary, R. C. (1936), "The distribution of 'Student's' ratio for non-normal 100

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samples," /. Roy. Statist. Soc. (B) 3, 178-184. Users: Α. Ν. K. Nair (1941), Cramer (1946), Geary (1947), Anscombe (1948), Gayen (1949), R. A. Bradley (1952a, 1952b), Gayen (1952), Weibull (1953), Box and Andersen (1955), Gephart (1955), Srivastava (1958), J. V. Bradley (1959b), Scheffé (1959). KN Geary, R. C. (1947), "Testing for normality," Biometrica 34, 209-242. Review: MR (1948) 364. Users: Tukey (1948), Gayen (1949), Finch (1950), Gayen (1950a, 1950b), E. S. Pearson (1950b), David and Johnson (1951a), Gayen (1952), Box (1953), K. Smith (1953), Weibull (1953), Box and Andersen (1955), James (1956), Srivastava (1958), B. Sukhatme (1958), J. V. Bradley (1959b), Scheffé (1959), Srivastava (1959), Siegel and Tukey (1960). EKP Geary, R. C. (1953), "Non-linear functional relationship between two variables when one variable is controlled," /. Amer. Statist. Assoc. 48, 94-103. / Geary, R. C. (1956), "Tests de la normalité," Annales de l'Institut Henri Poincaré (Paris) 15, 35-65. AKP Gebelein, Hans (1942), "Verfahren zur Beurteilung einer sehr geringen Korrelation zwischen zwei statistischen Merkmalsreihen," Zeitschrijt für Angewandte Mathematik und Mechani\ 22, 286-298. Review: MR (1945) 6. H Gefïroy, Jean (1956), "Sur un propriété de l'écart maximum entre les fonctions de répartition théorique et empirique d'un échantillon de η points à deux dimensions," Comptes Rendus (Paris) 242, 2283-2285. Review: MR (1956) 1220. E Gefïroy, Jean (1958, 1959), "Contribution à la théorie des valeurs extrêmes," Publications de l'Institut de Statistique de l'Université de Paris 7, 8, 38-185. Reviews: MR (1960) 724, IJA (1961) 253, MR (1961) 47. LN Geigy, J. R. (1960), A.G. (Pharmaceutical Department), Scientific Tables, Konrad Diem, Basel. German. Note: Not seen. AP Gellhorn, Α., and V. P. Collins (1951), "A quantitative evaluation of the contribution of nitrogen mustard to the therapeutic management of Hodgkin's disease," Annals of Internal Medicine 35, 1250-1259. Note: Sign test. 0 Gengerelli, J. Α., and J. L. Michael (1953), "A non-parametric test for the reliability of the difference between two proportions," Journal of Psychology 36, 127-130. User: L. V. Jones (1955). GN Georgiu, Serban (1956), "Some problems on the division of an interval of the straight line by sample points," A\ademiya Rumynskpi Narodnoi Respubli\i. Zhurnal Chistoi i Pri\ladnoi Matematici (Bucharest) 1, 109-139. Russian. Review: MR (1959) 1105. Note: Not seen. Ν 101

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Gephart, Landis S. (1955), A Study of the Effect of Non-Normality on Sampling Distributions of the Range, WADC Technical Report 55-128, Wright Air Development Center, Wright-Patterson Air Force Base, Ohio, 154. Note: Use of Monte Carlo. KLOP Geppert, Maria-Pia (1944), "Über den Vergleich zweier beobachteter Häufigkeiten," Deutsche Mathematik 7, 553-592. Review: MR (1947) 393. Note: Not seen. H Ghent, A. W., D. A. Fraser, and J. Β. Thomas (1957), "Studies of regeneration in forest stands devastated by the spruce budworm. I. Evidence of trends in forest succession during the first decade following budworm devastation," Forest Science 3, 184-208. Note: Not seen. Rank correlation. O Ghosh, M. N. (1948), "A test for field uniformity based on the space correlation method," San\hyä 9, 39-46. Review: MR (1949) 389. IN Ghosh, Μ. N. (1954), "Asymptotic distribution of serial statistics and applications to problems of nonparametric tests of hypotheses," Ann. Math. Statist. 25, 218-251. Review: MR (1954) 808. User: Fraser (1957). Ν Gibson, Eleanor }., and Richard Bergman (1954), "The effect of training on absolute estimation of distance over the ground," Journal of Experimental Psychology 48, 473-482. User: Gibson, Bergman, and Purdy (1955). Note: Wilcoxon test. O Gibson, Eleanor J., Richard Bergman, and Jean Purdy (1955), "The effect of prior training with a scale of distance on absolute and relative judgments of distance over ground," Journal of Experimental Psychology 50, 97-105. Note: Wilcoxon test. O Gibson, W. M., and G. H. Jowett (1957), "'Three-group' regression analysis: I, II," Applied Statistics 6, 114-122, 189-197. User: Madansky (1959). Af Gihman, I. I. (1952), "On a criterion of fit for discrete random variables," Dopovidi A\ademi'i Nau\ Ukrain s!{oi Radyans'\oi Socialisticnoi Respubli\i, 7-9. Ukrainian; Russian summary. Review: MR (1954) 724. User: Gihman (1952a). Note: Not seen. E Gihman, I. I. (1952a), "On the empirical distribution function in the case of grouping of the data," Do\lady A\ademii Nau\ SSSR (N.S.) 82, 837-840. Russian. English translation in Institute of Mathematical Statistics and American Mathematical Society (1961). Review: MR (1952) 666. Users: Gihman (1953, 1953b), Rényi (1953a), Gnedenko (1954). F Gihman, I. I. (1953), "Some remarks on A. N. Kolmogorov's criterion of fit," Do\lady A\ademii Nau\ SSSR (N.S.) 91, 715-718. Russian. Review: MR (1954) 452. EGN 102

GINI

Gihman, I. I. (1953b), "On some limit theorems for conditional distributions and on problems of mathematical statistics connected with them," A\ademiya Nau\ U\rains\oï SSR. Institut Matematici. U\rainskiï Matematiches1(ñ Zhurnal 5, 413-433. Russian. Review: MR (1954) 722. User: Steck (1957). EN Gihman, I. I. (1957), "On a nonparametric criterion for the homogeneity of \ samples," Akademiya Nau\ SSSR. Teoriya V eroyatnosteí i eë Primeneniya 2, 380-384. Russian; German summary. Review: MR (1958) 993. Users: H. T . David (1958), Kiefer (1959). FN Gilbert, Edgar J. (1956), "The matching problem," Psychometriha 21, 253-266. Reviews: MR (1957) 346, Math. Tables Aids Comput. (1958) 70. Users: Staff Comp. Lab. (1955), Barton (1958). NP Gilbert, G. K. (1884), "Finley's tornado predictions," American Meteorological Journal 1, 166-172. Users: Pierce (1884), Goodman and Kruskal (1959). HO Gildemeister, M., and Β. L. van der Waerden (1943^14), "Die Zulässigkeit des χ 2 Kriteriums für kleine Versuchszahlen," Berichte über die Verhandlungen der Sächsischen Akademie der Wissenschaften zu Leipzig. Mathematisch-Naturwissenschaftliche Klasse 95, 145-150. Review: MR (1947) 394. ΗΝ Gillis, Sister Catherine Josephine (1959), Some Problems Concerning the Wolfowitz Two-Sample Test, thesis, Boston University. Note: Not seen. GN Gini, Corrado (1914a), "Di una misura della dissomiglianza tra due gruppi di quantità e delle sue applicazioni allo studio delle relazioni statistiche," Atti del Real Istituto Veneto di Scienze, Lettere ed Arti (8) 74, 185-213. Users: Gini (1915a, 1915b), Pietra (1924), Weida (1928), Salvemini (1939, 1945-46, 1951, 1954), Féron (1956), Goodman and Kruskal (1959). Η Gini, Corrado (1914b), "Indice di omofilia e di rassomiglianza e loro relazioni col coefficiente di correlazione e con gli indici di attrazione," Atti del Reale Istituto Veneto di Scienze, Lettere ed Arti (8) 74, 583-610. Users: Gini (1915a, 1915b, 1916a, 1916b), Pietra (1924), Weida (1928), Féron (1956), Goodman and Kruskal (1959). Η Gini, Corrado (1914c), "Di una misura delle relazioni tra le graduatorie di due caratteri," appendix to A. Mancini, Le Elezioni Generale Politiche del 1913 nel Comune di Roma, Ludovico Cecchini, Rome. Users: Salvemini (1939), Kruskal (1958). Note: Not seen. / Gini, Corrado (1915a), "Sul criterio de concordanza tra due caratteri," Atti del Reale Istituto Veneto di Scienze, Lettere ed Arti (8) 75, 309331. Users: Pietra (1924), Weida (1928), Salvemini (1945^6), Féron ( 1956), Goodman and Kruskal ( 1959). Η 103

GINI Gini, Corrado (1915b), "Nuovi contributi alla teoria delle relazioni statistiche," Atti del Reale Istituto Veneto di Scienze, Lettere ed Arti (8) 74, 1903-1942. Users: Gini (1915a, 1916a), Pietra (1924), Weida (1928), Salvemini (1945-46), Gini (1947), Salvemini (1954), Goodman and Kruskal (1959). H Gini, Corrado (1916a), "Indici di concordanza," Atti del Reale Istituto Veneto di Scienze, Lettere ed Arti (8) 75, 1419-1461. Users: Pietra (1924), Weida (1928), Salvemini (1939), Gini (1947), Kendall (1948), Salvemini (1951), Amato (1954, 1954a), Salvemini (1954), Amato (1956), Féron (1956), Goodman and Kruskal (1959). H Gini, Corrado (1916b), "Il concetto di 'transvariazione' e la sue prime applicazioni," Giornale degli Economisti e Rivista di Statistica 52, 13-43. Users: Gini (1916a), Ottaviani (1939), Kruskal (1957). JH Gini, Corrado (1939), "Sulla determinazione dell'indice di cograduazione," Metron 13 (4), 41-48. / Gini, Corrado (1942), "Indici sintetici di correlazione," Atti della III Riunione, Società Italiana di Statistica. Note: Not seen. / Gini, Corrado (1947), "Intensità e precisione della connessione statistica," Statistica (Italy) 7, 127-137. / Gini, Corrado (1953), "The measurement of the differences between two quantity groups and in particular between the characteristics of two populations," Acta Genetica et Statistica Medica 4, 175-191. User: Kruskal (1957). G Gini, Corrado (1957), "Bibliografia," Statistica (Italy) 17, 72-105. Note: Bibliography of 777 of Gini's works. A Giradot, N. F., and D. R. Peryman, "Monosodium glutamate and food preferences." Abstract: Food Technology (1953) 13. O Glanville, A. D., and J. J. Antonitis (1955), "The relationship between occipital alpha activity and laterality," Journal of Experimental Psychology 49, 294-299. Note: Wilcoxon two-sample test. O Glaser, William A. (I960), "The family and voting turnout," Public Opinion Quarterly 23, 563-570. Note: x2 test. O Glasgow, M. O. (1959), "Note on the factorial moments of the distribution of locally maximal elements in a random sample," Ann. Math. Statist. 30, 586-590. Reviews: I]A (1959) 190, MR (1960) 318. User: Freimer and Gold (1960). IN Gleissberg, W. (1945a), "Eine Aufgabe der Kombinatorik und Wahrscheinlichkeitsrechnung," Revue de la Facuité des Sciences de l'Université d'Istanbul (A) 10, 25-35. German; Turkish summary. Review: MR (1946) 406. User: Levene (1952). INP Gleissberg, W. (1945b), "Ein Kriterium für die Realität zyklischer Variationen," Revue de la Faculté des Sciences de l'Université d'Istanbul {A) 104

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10, 36-42. German; Turkish summary. Review: MR (1947) 40. 1 Gleissberg, W. (1947), "Bedingungen für die Anordnung zufälliger Fehler," Revue de la Faculté des Sciences de l'Université d'Istanbul ( A) 12, 107-126. German; Turkish and English summaries. Review: MR (1947) 590. Ν Glenn, William A. (1960), "A comparison of the effectiveness of tournaments," Biometrica 47, 253-262. Note: Also as a 1959 report prepared at Virginia Polytechnic Institute. MP Glenn, William Α., and H. A. David (1960a), "Ties in paired-comparison experiments using a modified Thurstone-Mosteller model," Biometrics 16, 86-109. Note: Report No. 43, Department of Statistics, Virginia Polytechnic Institute. M Glivenko, V. (1933), "Sulla determinazione empirica delle leggi de probabilità," Giornale dell'Istituto Italiano degli Attuari 4, 4-10. Users: Smirnov ( 1939a, 1944), Loève (1945), Kendall (1948), Rényi (1953a), Quade (1959). E Gluss, Brian, and Fred L. Strodtbeck, "A spherically-symmetric order statistic." Abstract: Ann. Math. Statist. (1956) 213. L Gnedenko, Β. V. (1943), "Sur la distribution limite du terme maximum d'une série aléatorie," Annals of Mathematics (2) 44, 423-453. Review: MR (1944) 41. Users: Gartstein (1948), Juncosa (1949), Smirnov (1949), Homma (1951), Kawata (1951), Gumbel (1953b), Gnedenko and Kolmogorov (1954), Gumbel (1954a), Loève (1956), Cogburn (1958), Gefïroy (1959). LN Gnedenko, Β. V. (1952a), "Some results on the maximum discrepancy between two empirical distributions," Do\lady Abfldemii Nau\ SSSR (N.S.) 82, 661-663. Russian. Review: MR (1952) 760. Users: Juvancz and Lipták (1952), Gnedenko (1954), Korolyuk (1954), Chang and Fisz (1957b), Kemperman (1959), Kuiper (1960a). FN Gnedenko, Β. V. (1952b), "Some remarks on the papers of O. A. Illyasenko and I. I. Gihman," Dopovidi A\ademii Nau\ U\raïns'\oi Radyans'\oi Socialisticnoi Respubli\i, 10-12. Ukrainian; Russian summary. Review: MR (1954) 724. Note: Not seen. E Gnedenko, Β. V. (1954), "Kriterien für die Unveränderlichkeit der Wahrscheinlichkeitsverteilung von zwei unabhängigen Stichprobenreihen," Mathematische Nachrichten 12, 29-66. Russian; German summary. Review: MR (1955) 498. FN Gnedenko, Β. V. (1956), Über die Nachprüfung Statistischer Hypothesen mit Hilfe der Variationsreihe, Bericht Mathematische Statistik in Berlin, 1954. Deutscher Verlag der Wissenschaften, 97-107. German. Review: MR (1958) 331. Note: Not seen. AE Gnedenko, Β. V. (1958), "On the Wilcoxon test of comparing two samples," 105

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Bulletin de l'Académie Polonaise des Sciences, Série des Sciences Mathématiques, Astronomiques et Physiques 6, 611-614. Russian. Reviews: If A (1959) 68, MR (1960) 76. Note: Not seen. G Gnedenko, Β. V., and Α. Ν. Kolmogorov (1954), Limit Distributions for Sums of Independent Random Variables, Addison-Wesley, Cambridge, Massachusetts, ix, 264. Reviews: MR (1951) 839, MR (1953) 294, MR (1955) 52, Econometrica (1955) 455, J. Amer. Statist. Assoc. (1955) 1343. Users: Doob (1953), Gihman (1953b), Gephart (1955), J. R. Rosenblatt (1955), Shapiro (1955), O. Anderson (1956), Dwass (1956), Hoeffding (1956), Petrov (1956), Steck (1957), Chernoff and Teicher (1958). Note: Original publication 1949. Translated and annotated by K. L. Chung. Appendix by J. L. Doob. Ν Gnedenko, Β. V., and V. S. Korolyuk (1951), "On the maximum discrepancy between two empirical distributions," Do\lady A\ademii Nau\ SSSR (N.S.) 80, 525-528. Russian. English translation in Institute of Mathematical Statistics and American Mathematical Society (1961). Review: MR (1952) 570. Users: Gnedenko (1952a), Gnedenko and Rvaceva (1952), Juvancz and Lipták (1952), Linnik (1952), Mihalevic (1952), Rényi (1953a), Gnedenko (1954), Goodman (1954b), Korolyuk (1955), Blackman (1956), Chang and Fisz (1957b), Kemperman (1957), Vincze (1957), Η. T. David (1958), Birnbaum and Hall (1959), Carvalho (1959), Kemperman (1959), Vincze (1959), Fisz (1960), Reimann and Vincze (1960), Vincze (1960). FN Gnedenko, Β. V., and V. S. Mihalevic (1952a), "On the distribution of the number of excesses of one empirical distribution function over another," Do\lady Abademii Nau\ SSSR (N.S.) 82, 841-843. Russian. English translation in Institute of Mathematical Statistics and American Mathematical Society (1961). Review: MR (1952) 760. Users: Gnedenko and Mihalevic (1952b), Juvancz and Lipták (1952), Mihalevic (1952), Gihman (1953b), Rényi (1953a), Gnedenko (1954), Kuiper (1960). FN Gnedenko, Β. V., and V. S. Mihalevic (1952b), "Two theorems on the behavior of empirical distribution functions," Doklady Abademii Nau\ SSSR (N.S.) 85, 25-27. Russian. English translation in Institute of Mathematical Statistics and American Mathematical Society (1961). Review: MR (1953) 60. Users: Juvancz and Lipták (1952), Gihman (1953b), Rényi (1953a), Gnedenko (1954), Blackman (1956), Dwass (1958), Kuiper (1960). FN Gnedenko, Β. V., and E. L. Rvaceva (1952), "On a problem of comparison of two empirical distributions," Dofflady Ahfidemii Nau\ SSSR (N.S.) 82, 513-516. Russian. English translation in Institute of Mathematical 106

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Statistics and American Mathematical Society (1961). Review: MR (1952) 760. Users: Gnedenko (1952a), Juvancz and Lipták (1952), Gihman (1953b), Rényi (1953a), Gnedenko (1954), Blackman (1956), Kemperman (1959). FN Gnedenko, Β. V., and Yu. P. Studner (1952), "Comparison of the effectiveness of several methods of testing homogeneity of statistical material," Dopovidi Akademii Nau\ U krains'\oi Radyans'koi Socialisticnoi Respublify, 359-363. Ukrainian; Russian summary. Review: MR (1954) 544. User: Gnedenko (1954). FN Ρ Godwin, H. J. (1944), Inequalities Related to Tchebycheß's Inequality, (British) Ministry of Supply Advisory Service on Statistical Method and Quality Control. Technical Report No. Q.C./R/13 (February 14, 1944). User: Barnard (1944). AC Godwin, H. }. (1948), "A further note on the mean deviation," Biometrica 35, 304-309. Review: MR (1949) 387. LN Godwin, H. J. (1949a), "On the estimation of dispersion by linear systematic statistics," Biometrica 36, 92-100. Reviews: MR (1950) 673, Math. Tables Aids Comput. (1950) 86. Users: K. R. Nair (1950), Sillitto (1951), Gupta (1952), Lloyd (1952), Cadwell (1953), H. L. Jones (1953), Blom (1956), Sarhan and Greenberg (1956), Teichroew (1956), Blom (1958), Bose and Gupta (1959), Harter (1959). KL Godwin, Η. J. (1949b), "Some low moments of order statistics," Ann. Math. Statist. 20, 279-285. Reviews: MR (1949) 722, Math. Tables Aids Comput. (1950) 20. Users: Godwin (1949a), Moriguti (1951), Gupta (1952), Lloyd (1952), Cadwell (1953), Lieblein (1953), Beiz and Hooke (1954), David and Johnson (1954), H. A. David (1955), Sarhan and Greenberg (1956), Teichroew (1956), Tsao (1957), Watanabe, Isida, Taga, et al. (1957), Blom (1958), Kendall and Stuart (1958), Bose and Gupta (1959), Harter (1959). LP Godwin, H. J. (1955), "On generalizations of Tchebycheff's inequality," /. Amer. Statist. Assoc. 50, 923-945. Review: MR (1956) 165. Users: Kendall and Stuart (1958), Isii (1959). Note: Extensive bibliography. AC Gold, E. (1929), "Note on the frequency of occurrences of events in series of two types," Quarterly Journal of the Royal Meteorological Society 55, 307-309. Users: Cochran (1938), Wolfowitz (1943). INO Gollin, Eugene S., and Alan Baron (1954), "Response consistency in perception and retention," Journal of Experimental Psychology 47, 259-262. Note: Rank order correlation. O Golomb, S. W., "The expected length of the longest cycle." Abstract: Notices of the American Mathematical Society (1959) 620. Ν 107

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Gontcharofï, W. (1942), "Sur la distribution des cycles dans les permutations," Comptes Rendus (Dokjady) de l'Académie des Sciences de l'URSS (N.S.) 35, 267-269. Review: MR (1943) 102. Ν Gontcharofï, W. (1943), "Sur la succession des événements dans une serie d'épreuves indépendantes répondant au schème de Bernoulli," Comptes Rendas (Do\lady) de l'Académie des Sciences de l'URSS (N.S.) 38, 283285. Review: MR (1944) 124. User: Kuipers (1957). Ν Gontcharofï, W. (1944), "Du domaine de l'analyse combinatoire," Izvestia A\ademii Nau^ SSSR, Ser. Mat. 8, 3-48. Russian; French summary. Review: MR (1945) 88. User: Kuipers (1957). Ν Good, Isidore J. (1950), Probability and the Weighing of Evidence, Griffin, London (Hafner, New York), viii, 119. Note: See pp. 93-101. BEH Good, Isidore J. (1953), "The serial test for sampling numbers and other tests for randomness," Proceedings of the Cambridge Philosophical Society 49, 276-284. Review: MR (1954) 727. Users: Patankar (1954), Good (1955), Billingsley (1956), Dawson and Good (1957), Good (1957), Bofinger and Bofinger (1958), Goodman (1958a), Thomson (1959), Bhat (1961), Billingsley (1961). IN Good, Isidore J. (1955), "On the weighted combination of significance tests," /. Roy. Statist. Soc. (B) 17, 264-265. Users: Lipták (1958), Zelen and Joel (1959). X Good, Isidore J. (1956), "On the estimation of small frequencies in contingency tables," J. Roy. Statist. Soc. (Β) 18, 113-124. Η Good, Isidore J. (1957), "On the serial test for random sequences," Ann. Math. Statist. 28, 262-264. Review: MR (1958) 73. User: Billingsley (1961). 1 Goodman, Leo A. (1952), "Serial number analysis," /. Amer. Statist. Assoc. 47, 623-634. User: Goodman (1954a). IN Goodman, Leo Α., "Parameter-free and nonparametric tolerance limits: the exponential case." Abstract: Ann. Math. Statist. (1953a) 139. User: Goodman and Madansky (1959). D Goodman, Leo A. (1953b), "A simple method for improving some estimators," Ann. Math. Statist. 24, 114-117. User: Blom (1958). G Goodman, Leo A. (1954a), "Some practical techniques in serial number analysis," /. Amer. Statist. Assoc. 49, 97-112. Note: See page 110, Kolmogorov-Smirnov statistic. O Goodman, Leo A. (1954b), "Kolmogorov-Smirnov tests for psychological research," Psychological Bulletin 51, 160-168. Users: L. V. Jones (1955), Salzinger (1956), Savage (1957a), Tate and Clelland (1957), Schaie (1958). AEFP Goodman, Leo Α., "Run tests and likelihood ratio tests for Markov chains." Abstract: Ann. Math. Statist. (1957) 1072. I 108

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Goodman, Leo A. (1958), "Simplified runs tests and likelihood ratio tests for Markoff chains," Biometrica 45, 181-197. Review: MR (1958) 1090. Users: Goodman (1958a, 1959), Lehmann (1959), Billingsley (1961), Goodman and Grunfeld (1961). IN Goodman, Leo A. (1958a), "Asymptotic distributions of 'Psi-squared' goodness of fit criteria for mth order Markoff chains," Ann. Math. Statist. 29, 1123-1133. Reviews: If A (1959) 126, MR (1959) 1022. Users: Goodman (1959), Solomon (1960), Bhat (1961), Billingsley (1961, 1961a). IN Goodman, Leo A. (1959), "On some statistical tests for Mth order Markov chains," Ann. Math. Statist. 30, 154-164. Reviews: If A (1959) 301, MR ( 1960) 78. Users: Bhat ( 1961 ), Billingsley ( 1961a). Ν Goodman, Leo A. (1959a), "Partial tests for partial Taus," Biometrica 46, 425-432. Reviews: If A (1960) 648, MR (1961) 349. User: Goodman and Grunfeld (1961). JN Goodman, Leo A. (1959b), "Simple statistical methods for scalogram analysis," Psychometrika 24, 29-43. AM Goodman, Leo Α., and Yehuda Grunfeld (1961), "Some nonparametric tests for comovements between time series," J. Amer. Statist. Assoc. 56, 11-26. IN Goodman, Leo Α., and William H. Kruskal (1954), "Measures of association for cross-classifications," J. Amer. Statist. Assoc. 49, 732-764. Errata: Ibid. (1957) 578, Ibid. (1958) 1031. Abstract: Ann. Math. Statist. (1953) 147. Users: Moses (1956), L. Adler (1957), McCarthy (1957), Blalock (1958), Lehmann (1958), Savage (1958), Goodman (1959a, 1959b), Lehmann (1959), Somers (1959), S. S. Stevens (1959), Goodman and Grunfeld (1961). AH Goodman, Leo Α., and William H. Kruskal (1959), "Measures of association for cross-classification: II. Further discussion and references," /. Amer. Statist. Assoc. 54, 123-163. Abstract: Ann. Math. Statist. (1956) 220. Review: If A (1960) 649. Users: Kruskal (1957, 1958), Goodman ( 1959a). Note: Extensive bibliography. AH Goodman, Leo Α., and Albert Madansky, "Distribution-free and nonparametric tolerance regions: The exponential case." Abstract: Ann. Math. Statist. (1959) 624. D Goodnow, Jacqueline Jarrett, and Thomas F. Pettigrew (1955), "Effect of prior patterns of experience upon strategies and learning sets," fournal of Experimental Psychology 49, 381-389. User: Goodnow and Pettigrew (1956). Note: Variation of Wilcoxon test. O Goodnow, Jacqueline Jarrett, and Thomas F. Pettigrew (1956), "Some sources of difficulty in solving simple problems," fournal of Experimental Psychology 51, 385-392. Note: Wilcoxon test. O 109

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Goodnow, Jacqueline Jarrett, and Leo Postman (1955), "Probability learning in a problem-solving situation," Journal of Experimental Psychology 49, 16-22. User: Bush and Wilson (1956). O Gordon, Mordecai H., Edward H. Loveland, and Edward E. Cureton (1952), "An extended table of chi-square for two degrees of freedom for use in combining probabilities from independent samples," Psychometri\a 17, 311-316. Users: Guilford (1956), Moses (1956). PX Goudsmit, S. (1945), "Random distribution of lines in a plane," Reviews of Modern Physics 17, 321-322. Review: MR (1946) 309. Ν Goulden, Cyril H. (1952), Methods of Statistical Analysis, Second Edition, Wiley, New York, vi, 467. Review: Math. Tables Aids Comput. (1953) 90. Users: Η. M. Walker (1940), Eisenhart (1947), Ladegast (1953), Ayer, et al. (1955), Adler and Roessler (1960). Note: See Chs. 15 and 16. First edition 1939. EH Grad, Arthur, and Herbert Solomon (1955), "Distribution of quadratic forms and some applications," Ann. Math. Statist. 26, 464-^77. Review: /. Amer. Statist. Assoc. (1956) 654. Users: Billingsley (1956), Solomon (1960). Note: 2 and 3 degrees of freedom. Ρ Grant, Alison M. (1952), "Some properties of runs in smoothed random series," Biometrica 39, 198-204. Review: MR (1953) 963. INP Grant, David A. (1946), "New statistical criteria for learning and problem solution in experiments involving repeated trials," Psychological Bulletin 43, 272-282. Users: Grant (1947), Levine (1953). Note: Uses run theory. O Grant, David A. (1947), "Additional tables of the probability of 'runs' of correct responses in learning and problem-solving," Psychological Bulletin 44, 276-279. User: Levine (1953). Ρ Green, Β. F., Jr., J. Ε. Κ. Smith, and L. Klem (1959), "Empirical tests of an additive random number generator," Journal of the Association of Computing Machinery 6, 527-537. Review: If A (1960) 524. Note: Not seen. O Green, Edward J. (1955), "Concept formation: A problem in human operant conditioning," Journal of Experimental Psychology 49, 175-180. Note: Kendall's r. O Green, R. T. (1956), "Surprise as a factor in the Von Restorff effect," Journal of Experimental Psychology 52, 340-344. Note: Sign test. O Greenwood, Joseph A. (1938), "Variance of a general matching problem," Ann. Math. Statist. 9, 56-59. Users: Olds (1938b), Battin (1942), Kendall (1948), R. E. Greenwood (1953a), Barton (1958). Ν Greenwood, Joseph A. (1940), "The first four moments of a general matching problem," Annals of Eugenics 10, 290-292. Review: MR (1941) 110

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228. Vsers: Battin (1942), GreviUe (1944), Kendall (1948), Krishna Iyer (1954), Barton (1958). Ν Greenwood, Joseph A. (1943), "A preferential matching problem," Psychometric 8, 185-191. Review: MR (1944) 127. M Greenwood, Major (1946), "The statistical study of infectious disease," J. Roy. Statist. Soc. (A) 109, 85-103. Review: MR (1947) 591. Users: Moran (1951a), Gardner (1952), Darling (1953), Kendall and Sundrum (1953), Moran (1953), Barton and David (1956b), L. Weiss (1956), Ishii (1958). Note: Discussion pp. 103-110. IN Greenwood, M. L., and R. Salerno (1949), "Palatability of kale in relation to cooking procedure and variety," Food Research 14, 314-319. Users: Bliss, Greenwood, and McKendrick (1953), Pendergrass and Bradley (1957), Bliss (1960), Pendergrass and Bradley (1960). Note: Not seen. MO Greenwood, Robert E. (1953), "The number of cycles associated with the elements of a permutation group," American Mathematical Monthly 60, 407-409. Review: MR (1953) 939. IN Greenwood, Robert E. (1953a), "Probabilities of certain solitaire card games," /. Amer. Statist. Assoc. 48, 88-93. Users: Staff Comp. Lab. (1955), Gilbert (1956). NP Greiner, R. (1909), "Über das Fehlersystem der Kollektivmasslehre," Zeitschrift für Mathematik und Physik 57, 121-158, 225-260, 337-373. Users: Esscher (1924), Moran (1948b), Moran (1950a), Salvemini (1951), Dantzig and Hemelrijk (1954), Dantzig (1955), Kendali (1955b), Fieller, et al. (1957). Note: Not seen. / Grenander, Ulf (1956), "On the theory of mortality measurement," Skandinavis\ A\tuanetids\rift 39, 70-96, 125-153. Reviews: MR (1958) 188, 1243. G Grenander, Ulf, and Murray Rosenblatt (1957), Statistical Analysis of Stationary Time Series, Wiley, New York, 300. Users: Savage (1958), Scheffé (1959). Note: See pp. 12-14. The random variables are normal but the spectral distribution is unspecified, e.g. nonparametric. (Similar to Elveback, 1958). I Greville, Thomas N. E. (1938), "Exact probabilities for the matching hypothesis," Journal of Parapsychology 2, 55-59. Users: Battin (1942), Kendall (1948), R. E. Greenwood (1953), Gilbert (1956). NP Greville, Thomas N. E. (1941), "The frequency distribution of a general matching problem," Ann. Math. Statist. 12, 350-354. Review: MR (1942) 171. Users: Battin (1942), Kendall (1948), Krishna Iyer (1954), Gilbert (1956), Barton (1958), Joseph and Bizley (1960). MN Greville, Thomas N. E. (1944), "On multiple matching with one variable 111

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deck," Ann. Math. Statist. 15, 432-^34. Review: MR (1945) 232. Ν Greville, Thomas Ν. E. (1950), "Remark on the article On a class of distributions that approach the normal distribution function' by George B. Dantzig," Ann. Math. Statist. 21, 611-613. Ν Grice, G. Robert (1955), "Generalized extinction and secondary reinforcement in visual discrimination learning with delayed reward," Journal of Experimental Psychology 55, 197-200. Note: Uses Wilcoxon test. O Grice, G. Robert, and John D. Davis (1957), "Effect of irrelevant thirst motivation on a response learned with food reward," Journal of Experimental Psychology 53, 347-352. O Gridgeman, Norman T. (1955), "The Bradley-Terry probability model and preference tasting," Biometrics 11, 335-343. User: Pendergrass and Bradley (1957). Note: Worked example. O Gridgeman, Norman T. (1956), "A tasting experiment," Applied Statistics 5, 106-112. Review: QCAS (1956) 526. User: Bliss (I960). O Griffin, Harold D. (1958), "Graphic computation of tau as a coefficient of disarray," /. Amer. Statist. Assoc. 53, 441^447. Users: Eeden and Korswagen (1959), Eeden (1960a). / Griffith, A. A. (1920), "The phenomena of rupture and flow in solids," Philosophical Transactions of the Royal Society of London 221A, 163— 198. User: Epstein ( 1948). LO Gronow, D. G. C. (1953), "Non-normality in two-sample ¿-tests," Biometrica 40, 222-225. Review: IJA-I (1959) 98. User: Horsnell (1953). Κ Grossnickle, Louise T. (1942), "The scaling of test scores by the method of paired comparisons," Psychometri\a 7, 43-64. M Grosz, Hanus J., and James Norton (1959), "Effect of chlorpromazine on Salmonella enteritidis infection in mice," Science 129, 784-785. Note: Uses H test. 0 Gruber, Howard E., Charles D. Fink, and Vernon Damm (1957), "Effects of experience on perception of causality," Journal of Experimental Psychology 53, 89-93. Note: Wilcoxon one-sample. O Gruenberger, F. (1950), "Tests of random digits," Math. Tables Aids Comput. 4, 244-245. ZO Gruenberger, F., and A. M. Mark (1951), "The d 2 test of random digits," Math. Tables Aids Comput. 5, 109-110. ENP Gruneberg, Hans, and J. B. S. Haldane (1937), "Tests of goodness of fit applied to records of Mendelian segregation in mice," Biometrica 29, 144-153. User: Kendall (1948). EO Guenther, William Charles (1952), On Testing Whether or Not a Given Percentile of One Distribution is Less Than or Equal to a Given Peril2

GUMBEL

centïle of Another Distribution, dissertation, University of Washington. Note: Not seen. G Guilford, Joy P. (1941), "The phi-coefficient and chi square as indices of item validity," Psychometri\a 6, 11-19. Users: Fulcher and Zubin (1942), Jurgensen (1947), Lawshe and Baker (1950). JP Guilford, Joy P. (1956), Fundamental Statistics in Psychology and Education, 3rd ed., McGraw-Hill, New York, xii, 565. Review: /. Amer. Statist. Assoc. (1956) 661. Users: Thornton (1943), Jurgensen (1947), Lewis and Burke (1949), F. Adler (1951), Freund (1952), Webster (1953), Russell (1955), Lewis and Kanarefi (1959), Adler and Roessler (1960). Note: See Chs. 11, 13, and 14. First edition 1936. A Guldberg, Alf (1921), "On correlation," Norsl^ Matematis\ Forenings Shifter 1 (5), 11-23. French. User: Kruskal (1958). H Guldberg, Alf (1922a), "Sur le théorème de M. Tchebychefï," Comptes Rendus (Paris) 275,418-420. Users: Lurquin (1922,1924, 1928b), Shohat (1929), C. D. Smith (1930), O. N. Anderson (1935), Münzer (1950). C Guldberg, Alf (1922b), "Sur un théorème de M. Markofï," Comptes Rendus (Paris) 175, 679-680. French. Users: Lurquin (1928a, 1929b), Shohat (1929), O. N. Anderson (1935), Wald (1938, 1939). C Guldberg, Alf (1922c), "Sur les valeurs moyennes," Comptes Rendus (Paris) 175, 1035-1037. Users: Guldberg (1922d), A. Rosenblatt (1945). C Guldberg, Alf (1922d), "Sur quelques inégalités dans le calcul des probabilités," Comptes Rendus (Paris) 175, 1382-1284. Users: Lurquin (1928b, 1929b), Shohat (1929), Herdan (1949). C Gullahorn, John T., and Jeanne E. Gullahorn (1959), "Increasing returns from non-respondents," Public Opinion Quarterly 23, 119-121. Note: χ 2 test. O Gulliksen, H. (1956), "A least square solution for paired comparisons with incomplete data," Psychometri\a 21, 125-134. User: Pendergrass and Bradley (1960). O Gumbel, E. J. (1935), "Les valeurs extrêmes des distributions statistiques," Annales de l'Institut H. Poincaré 5, 115-158. Users: Wilks (1941), Gumbel (1942), Wilks (1943), Gumbel (1944), Cramér (1946), Gumbel (1946), Mosteller (1946), Gumbel (1947), Epstein (1948), Kendall (1948), Wilks (1948), Gumbel (1949), Gumbel and Greenwood (1951), Moriguti (1951), Gumbel (1953a), A. I. Johnson (1953), Lieblein (1953), Gumbel (1954a), Oliveira (1957), Blom (1958), Dronkers (1958), Geffroy (1959). LNP Gumbel, E. J. (1942), "Simple tests for given hypotheses," Biometrica 32, 317-333. Review: MR (1943) 26. Users: Gumbel (1943), B. F. Kimball 113

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(1947), Kendall (1948), Gumbel and von Schelling (1950), Oliveira (1955, 1957a), G. A. Baker (1953). E Gumbel, E. J. (1943), "On the reliability of the classical chi-square test," Ann. Math. Statist. 14, 253-263. Review: MR (1945) 9. Users: Kendall (1948), Lancaster (1949a), Cochran (1952), Hoel (1954), Oliveira (1957a), J. V. Bradley (1959b). E Gumbel, E. J. (1944), "Ranges and midranges," Ann. Math. Statist. 15, 414-422. Review: MR (1945) 162. Users: Gumbel (1946, 1947), Wilks (1948), Gumbel (1949), Gumbel and Keeney (1950b), Pillai (1950), Gumbel (1953a, 1954a), Blom (1958), Gefïroy (1959), Gumbel (1959). LN Gumbel, E. }. (1946), "On the independence of the extremes in a sample," Ann. Math. Statist. 17, 78-81. Review: MR (1946) 464. Users: Gumbel (1947), Wilks (1948), Gumbel (1949), Gumbel and Keeney (1950b), Pillai (1950), Homma (1951), Blom (1958). LN Gumbel, E. J. (1947), "The distribution of the range," Ann. Math. Statist. 18, 384—412. Reviews: MR (1948) 195, Math. Tables Aids Comput. (1950) 21. Users: Cox (1948), Gartstein (1948), Wilks (1948), Gumbel (1949), Pillai (1950), Cadwell (1953), Gumbel (1953a, 1954a), Blom (1958), Kendall and Stuart (1958), Gefíroy (1959). LNP Gumbel, E. J. (1949), "Probability tables for the range," Biometrica 36, 142-148. Reviews: MR (1950) 527, Math. Tables Aids Comput. (1950) 87. Users: Gumbel (1953a), Kendall and Stuart (1958). LNP Gumbel, E. J. (1953a), Probability Tables for the Analysis of ExtremeValue Data, Applied Mathematics Series 22, National Bureau of Standards, U.S. Government Printing Office, Washington, D.C., iii, 32. Review: IfA-1 (1954) 93. User: Gumbel (1954a). ALP Gumbel, E. J. (1953b), "Les débits minima interprétés comme valeurs extrêmes," Comptes Rendus (Paris) 237, 512-514. User: Levert (1953). 0 Gumbel, E. J. (1954a), Statistical Theory of Extreme-Values and Some Practical Applications, Applied Mathematics Series 33, National Bureau of Standards, U.S. Government Printing Office, Washington, D.C., viii, 51. Reviews: MR (1954) 811, 1JA-I (1955) 423. Users: Sarkadi (1957), Oliveira (1957), Blom (1958), Dronkers (1958), Kendall and Stuart (1958), Gefïroy (1959), Capon (1961). LNP Gumbel, E. J. (1954b), "Elementare Ableitung der Momente für die Zahl der Überschreitungen," Mitteilungsblatt für Mathematische Statisti\ 6, 164-169. Review: MR (1955) 270. Note: Not seen. Ν Gumbel, E. }. (1954c), "The maxima of the mean largest value and of the range," Ann. Math. Statist. 25, 76-84. Review: /. Amer. Statist. Assoc. (1954) 642. Users: Hoeffding and Shrikhande (1955), Rustagi (1957), Geffr úy (1959). L 114

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Gumbel, E. J., "Statistical estimation of the endurance limit," Abstract: Ann. Math. Statist. (1955) 158. L Gumbel, E. J. (1958), Statistics of Extremes, Columbia University Press, New York, xx, 375. Reviews: ]. Roy. Statist. Soc. (A) (1959) 243, MR (1959) 468, Biometrica (1960) 209, /. Amer. Statist. Assoc. (1960) 383. Users: Capon (1959), David and Perez (1960), Epstein (1960), Gumbel (1960), Kimball (1960), Sarkadi (1960), Sibuya (I960). Note: Detailed survey and extensive bibliography. ALNOP Gumbel, E. }. (1959), "The wth range," Journal des Mathématiques Pures et Appliquées 38, 253-265. Reviews: MR (1960) 1408, QCAS (1960) 1135. LN Gumbel, E. J. (1960), "Distributions des valeurs extrêmes en plusieurs dimensions," Publication de l'Institut de Statistique de l'Université de Paris 9, 171-173. User: Sibuya (1960). L Gumbel, E. J., and J. A. Greenwood (1951), "Table of the asymptotic distribution of the second extreme," Ann. Math. Statist. 22, 121-124. Reviews: MR (1951) 621, Math. Tables Aids Comput. (1952) 22. User: Gumbel (1954a). LNP Gumbel, E. J., and R. D. Keeney (1950a), "The geometric range for distributions of Cauchy's type," Ann. Math. Statist. 21, 133-137. Review: MR (1950) 446. LNP Gumbel, E. J., and R. D. Keeney (1950b), "The extremal quotient," Ann. Math. Statist. 21, 523-538. Review: MR (1951) 428. User: Homma (1951). LNP Gumbel, E. J., and H. von Schelling (1950), "The distribution of the number of exceedances," Ann. Math. Statist. 21, 247-262. Review: MR (1950) 732. Users: Harris (1952), Epstein (1954), Tsao (1954), Munter (1955, 1956), Sarkadi (1957, 1960). DNP Gupta, A. K. (1952), "Estimation of the mean and standard deviation of a normal population from a censored sample," Biometrica 39, 260-273. Users: Sarhan and Greenberg (1956), Teichroew (1956), Dixon (1957), Blom (1958), Plackett (1959). LP Gupta, Hansraj (1950), "Tables of distributions," Research Bulletin of the East Panjab University, 13-44. Reviews: MR (1951) 750, Math. Tables Aids Comput. (1951) 71. User: Jones (1959). NP Gupta, Shanti S., and Milton Sobel (1958), "On the distribution of a statistic based on ordered uniform chance variables," Ann. Math. Statist. 29, 274-281. Review: MR (1959) 340. Ν Guttman, Irwin, "Tolerance regions." Abstract: Ann. Math. Statist. (1960) 1216. Ό Guttman, Louis (1946), "An approach for quantifying paired comparisons and rank order," Ann. Math. Statist. 17, 144-163. Review: MR (1947) 41. Users: Johnson (1949), Moran (1950a), Mosteller (1951a), Bradley 115

GUTTMAN

and Terry (1952a), Bock (1956), Cusimano (1957), Pendergrass and Bradley (1957), L. Guttman (1959), Pendergrass and Bradley (1960). MO Guttman, Louis (1948a), "An inequality for kurtosis," Ann. Math. Statist. 19, 277-278. Review: MR (1948) 599. Users: L. Guttman (1948b), Godwin (1955). CX Guttman, Louis (1948b), "A distribution-free confidence interval for the mean," Ann. Math. Statist. 19, 410-413. Review: MR (1949) 135. User: Godwin (1955). CG Guttman, Louis (1950), "The principal components of scale analysis," Studies in Social Psychology in World War II, 4, Measurement and Predictions, Stouffer, ed., Princeton University Press, Princeton, New Jersey, 312-361. Users: L. Guttman (1953, 1959), Hudimoto (1960). M Guttman, Louis (1953), "A note on Sir Cyril Burt's 'Factorial analysis of qualitative data,' " British Journal of Statistical Psychology 6, 1-4. User: L. Guttman (1959). Note: Contains bibliography on the structure of qualitative data. / Guttman, Louis (1959), "Metricizing rank-ordered or unordered data for a linear factor analysis," San\hyä 21, 257-268. Review: MR (1961) 350. M Guttman, Norman (1953), "Operant conditioning, extinction, and periodic reinforcement in relation to concentration of sucrose used as reinforcing agent," Journal of Experimental Psychology 46, 213-224. O Haberman, Sol (1955), "Distributions of Kendall's tau based on partially ordered systems," Biometria 42, 417-424. Review: MR (1956) 278. ]N Haden, H. G. (1947), "A note on the distribution of the different orderings of η objects," Proceedings of the Cambridge Philosophical Society 43, 1-9. Review: MR (1947) 160. Users: Moran (1948a, 1950a), Silverstone (1950), Hammersley (1952), Kendall (1955b), Mallows (1957). Ν Hadwiger, H. (1942), "Über gleichwahrscheinliche Aufteilungen," Zeitschrift für angewandte Mathemati\ und Mechanik; 22, 226-232. Review: MR (1944) 124. Ν Hadwiger, Η. (1946), "Eine Bemerkung über zufällige Anordnungen der natürlichen Zahlen," Mitteilungen der Vereinigung Schweizerischer Verischerungsmathemati\er 46, 105-109. Review: MR (1946) 406. Note: Not seen. Ν Haga, Toshiro (1960), "A two-sample rank test of location," Annals of the Institute of Statistical Mathematics 11, 211-219. Review: If A (1961) 72. GNP Haight, Frank A. (1961), "Index to the distributions of mathematical 116

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statistics," Journal of Research of the National Bureau of Standards ( B ) 65, 23-60. Note: Extensive references. AN Ρ Hájek, Jaroslav (1955), "Some rank distributions and their applications," Casopis pro Pestování Matemati\y 80, 17-31. Czech; Russian and English summaries. Review: MR (1957) 159. User: Josifko (1958). GNP Hájek, Jaroslav (1956), "The asymptotic efficiency of a certain sequence of tests," Czechoslovak Mathematical Journal 6, 26-30. Russian; English summary. Review: MR (1957) 243. G Hájek, Jaroslav, and Alfred Rényi (1955), "Generalization of an inequality of Kolmogorov," Acta Mathematica Academiae Scientiarum Hungaricae 6, 281-283. Russian summary. Review: MR (1956) 864. Users: Chow (1960), Birnbaum and Marshall (1960), Marshall (1960). C Hajós, Gyorgy, and Alfred Rényi (1954), "Elementary proofs of some basic facts concerning order statistics," Acta Mathematica Academiae Scientiarum Hungaricae 5, 1-6. Russian summary. Review: MR (1954) 972. L Hajós, Gyorgy, and Alfréd Rényi (1954b), "Some fundamental connections between elementary proofs in the theory of ordered samples," A Magyar Tudományos A\adémia Matematica! és Természettudomânyi Osztályána\ Kôzleményei 4, 467-472. Hungarian. Review: MR (1955) 729. L Hake, H. W., and D. A. Grant (1951), "Resistance to extinction and the pattern of reinforcement: II. Effect of successive alternation of blocks of reinforced and unreinforced trials upon the conditioned eyelid response to light," Journal of Experimental Psychology 41, 216-220. User: Goodnow and Pettigrew (1955). O Hake, H. W., D. A. Grant, and J. P. Hornseth (1951), "Resistance to extinction and the pattern of reinforcement: III. The effect of trial patterning in verbal 'conditioning,' " Journal of Experimental Psychology 41, 221-225. User: Goodnow and Pettigrew (1955). O Haid, Α. (1952), Statistical Theory with Engineering Applications, Wiley, New York, xii, 783. Review: MR (1953) 188. Users: Bradley (1953c), Ladegast (1953), Beiz and Hooke (1954), Blom (1954), Bradley (1955a), Gephart (1955), Jasper (1956), Morice (1958), Cohen (1959), Gabriel (1959), Madansky (1959), Brunk (1960). Note: Chapters 12 and 13. ILO Haid, Α., and S. A. Sinkbaek (1950), " A table of percentage points of the χ 2 distribution," S\andinavis\ A\tuarietids\rift 33, 168-175. Review: MR (1951) 621. Users: Walter (1951), Kruskal and Wallis (1952), Wise (1954). EP Haidane, J. B. S. (1937), "The exact value of the moments of the distribui i

HALDANE

tion of χ 2 , used as a test of goodness of fit, when expectations are small," Biometrica 29, 133-143. Users: Gruneberg and Haldane (1937), Welch (1938), Haldane (1940), Kendall (1948), Patnaik (1949), David (1950b), Cochran (1952), Lancaster (1952), Tumanyan (1956), Chakravarti and Rao (1959), Nass (1959). EN Haldane, J. B. S. (1939), "The mean and variance of x 2 , when used as a test of homogeneity, when expectations are small," Biometrica 31, 346355. Review: MR (1940) 346. Users: Battin (1942), Eisenhart and Wilson (1943), Cramér (1946), Kendall (1948), Cochran (1952, 1954), Dawson (1954), Armitage (1955), Dawson and Good (1957), Barton (1958), Cox (1958), Nass (1959), Starks and David (1959). HN Haldane, J. B. S. (1949), "Some statistical problems arising in genetics," /. Roy. Statist. Soc. (Β) 11, 1-14. Review: MR (1951) 431. Users: Moran (1950a), Bennett (1956). Note: With discussion. A Haldane, J. B. S. (1955a), "Substitutes for χ 2 ," Biometri\a 42, 265-266. E Haldane, J. B. S. (1955b), "A problem in the significance of small numbers," Biometrica 42, 266-267. Η Haldane, J. B. S. (1955c), "The rapid calculation of x 2 as a test of homogeneity from a 2 Χ η table," BometriCa 42, 519-520. Review: MR (1956) 169. Η Haldane, J. B. S. (1956), "The Wilcoxon and related tests of significance," Experientia 12, 205. Review: MR (1956) 1219. G Haldane, J. B. S. (1956b), "The estimation and significance of the logarithm of a ratio of frequencies," Annals of Eugenics 20, 309-311. AHN Haldane, J. B. S., and Cedric A. B. Smith (1948), "A simple exact test for birth-order effect," Annals of Eugenics 14, 117-124. Users: Haldane (1949), Moran (1950a), Bennett (1952), Keeping (1952), Kruskal and Wallis (1952), Sundrum (1953d), Jonckheere (1954a, 1954b), Sundrum (1954c), Bennett (1955, 1956), Birnbaum (1956), Haldane (1956), Hemelrijk (1957), Barton, David, and Mallows (1958), Cox (1958, 1958b), Lehmann (1958), Sawrey (1958), Smith and Sorsby (1958), Bennett (1959), Lehmann (1959). IN OP Hall, W. Jackson (1958), "Most economical multiple-decision rules," Ann. Math. Statist. 29, 1079-1094. Users: Hall (1958a, 1959). Note: Ex. 5, p. 1093. BG Hall, W. Jackson (1959), "The most economical character of some Bechhofer and Sobel decision rules," Ann. Math. Statist. 30, 964-969. Note: See Sec. 6. Also as 1958a University of North Carolina report No. 210. Β Haimos, Paul R. (1946), "The theory of unbiased estimation," Ann. Math. Statist. 17, 34-43. Review: MR (1946) 463. Users: Hoeffding (1948a), 118

HARKNESS

Hodges and Lehmann (1950), Lehmann (1950), Lehmann and Schefïé (1950), Lehmann (1951), Bell (1954), Rosenblatt (1955), Fraser and Guttman (1956), Fraser (1957), Schmetterer (1959). BG Haimos, Paul R. (1950), Measure Theory, Van Nostrand, New York, xi, 304. Review: MR (1950) 504. Users: Whidden (1952), Lehmann (1953), Sverdrup (1953), Tsao (1954a), Brunk (1955), Lehmann and Schefïé (1955), Féron (1956), Fraser (1957), Rényi (1959), Billingsley (1961a). Note: See pp. 196-200. C Halperin, M. (1960), "Extension of the Wilcoxon-Mann-Whitney test to samples censored at the same fixed point," f . Amer. Statist. Assoc. 55, 125-138. Errata: Ibid. (1960) 755. Abstract: Ann. Math. Statist. (1957) 1069. Reviews: QCAS (I960) 975, If A (1961) 313. GNP Halsey, J. J. (1954), "Evaluation of solution quality—statistical approach," journal of the American Pharmaceutical Association 43, 674-679. Note: Related arguments in Osgood (1958) and Capon (1959). GNO Hammersley, J. M. (1952), "Tauberian theory for the asymptotic forms of statistical frequency functions," Proceedings of the Cambridge Philosophical Society 48, 592-599. Ν Hammersley, J. M., and K. W. Morton (1954), "The estimation of location and scale parameters from grouped data," Biometrica 41, 296-301. G Hammond, Leo Keith, and Morton Goldman (1961), "Competition and non-competition and its relationship to individual and group productivity," Sociometry 24, 46-60. O Hanna, F. Α. (1955), "Age, labor force, and state per capita incomes 1930, 1940 and 1950," Review of Economics and Statistics 37, 63-69. Note: Rank correlation. O Hanna, F. Α. (1956), "State per capita income components 1919-1951," Review of Economics and Statistics 38, 449-464. Note: Rank correlation. O Hannan, E. J. (1956), "The asymptotic power of certain tests based on multiple correlation," J. Roy. Statist. Soc. (Β) 18, 227-233. Users: Eiteren and Noether (1959), Sukhatme (1960). Β Hannan, James F., "Some tests based on the empirical distribution function." Abstract: Ann. Math. Statist. (1950) 312-313. EN Harker, George S. (1956), "Delay of reward and performance of an instrumental response," Journal of Experimental Psychology 51, 303-310. O Harker, J. E. (1953), "An investigation of the distribution of the mayfly fauna of a Lancashire stream," Journal of Animal Ecology 22,1-13. Note: Spearman's p. 0 Harkness, William Leonard (1959), An Investigation of the Power Function for the Test of Independence in 2 X 2 Contingency Tables, thesis, 119

HARRIS

Department of Statistics, Michigan State University, 178. Errata: Sheet available. Abstract: Ann. Math. Statist. (1960) 534. HP Harris, J. Arthur, and Alan E. Treloar (1927), "On a limitation in the applicability of the contingency coefficient," }. Amer. Statist. Assoc. 22, 460-472. Users: Harris and Tu (1929), Pearson (1930), Harris, Treloar, and Wilder (1930), Goodman and Kruskal (1959). H Harris, J. Arthur, Alan E. Treloar, and Marian Wilder (1930), "On the theory of contingency. II. Professor Pearson's note on our paper on contingency," /. Amer. Statist. Assoc. 25, 323-327. User: Goodman and Kruskal (1959). H Harris, J. Arthur, and Chi Tu (1929), "A second category of limitation in the applicability of the contingency coefficient," /. Amer. Statist. Assoc. 24, 367-375. Users: Harris, Treloar, and Wilder (1930), Pearson (1930), Goodman and Kruskal (1959). H Harris, Lee B. (1952), "On a limiting case for the distribution of exceedances, with an application to life-testing," Ann. Math. Statist. 23, 295298. Review: MR (1952) 956. LNP Harris, T. L., and G. L. Rarick (1957), "The problem of pressure in handwriting," Journal of Experimental Education 26, 151-178. Note: Uses rank order correlation and contingency table x 2 test. O Harrison, G. A. (1958), "The adaptability of mice to high environmental temperatures," Journal of Experimental Biology 35, 892-901. Note: Wilcoxon two-sample. 0 Harter, H. Leon (1959), "The use of sample quasi-ranges in estimating population standard deviation," Ann. Math. Statist. 30, 980-999. Review: MR (1961) 182-183. LP Harter, H. Leon (1960), "Tables of range and studentized range," Ann. Math. Statist. 31, 1122-1147. LP Hartley, H. O. (1942), "The range in random samples," Biometrica 32, 334-348. Review: MR (1943) 21. Users: Pearson and Hartley (1943), Gumbel (1947), Lord (1947), Wilks (1948), Patnaik (1950), Pillai (1952), Gumbel (1953a), David (1954), Geflroy (1959), Harter (I960). LN Hartley, H. O. (1948), "Approximation errors in distributions of independent variates," Biometrica 35, 417-418. Users: Patnaik (1949), Hartley (1950a), Patnaik (1950). BK Hartley, H. O. (1950a), "The use of range in analysis of variance," Biometrica 37, 271-280. Review: MR (1951) 62. Users: David (1951), May (1952), Moshman (1952), David (1958a), Duckworth and Wyatt (1958), Harter (1960). GLNP Hartley, H. O. (1950b), "The maximum F-ratio as a short-cut test for 120

HEIDEN heterogeneity of variance," Biometrica 37, 308-312. Review: MR (1951) 345. Users: David (1952), Pearson (1952), Schefïé (1952), Box ( 1 9 5 3 ) , Bechhofer and Sobel (1954), Lehmann ( 1 9 5 7 ) , David (1958a). GLNP Hardey, H . O., "Approximate tests for comparisons of rank correlation." Abstract: /. Amer. Statist. Assoc. (1954) 329. ¡N Hartley, H . O., and H . A . David (1954), "Universal bounds for mean range and extreme observation," Ann. Math. Statist. 25, 85-99. Review: /. Amer. Statist. Assoc. (1954) 643. Users: Cox ( 1 9 5 4 ) , Hoeffding (1955a), Hoeffding and Shrikhande ( 1 9 5 5 ) , Rustagi (1957), David (1958a). LP Hartley, H . O., and E . S. Pearson ( 1 9 5 0 ) , "Tables of the x 2 -integral and of the cumulative Poisson distribution," Biometrica 37, 313-325. Review: Math. Tables Aids Comput. ( 1 9 5 1 ) 146. Users: David (1952), Eeden (1954). Ρ Hartley, Η . O., and E . S. Pearson (1951), "Moment constants for the distribution of range in normal samples," Biometrica 38, 463-464. Review: MR (1952) 664. Users: David (1951), Pearson (1952), Cadwell (1953), Gephart (1955). LP Hashizume, Asaji (1950), " T h e average number of the crossing points of a distribution with its empirical distribution," Suganti 3, 50-52. Japanese. Note: N o t seen. E Hastings, Cecil, Jr., Frederick Mosteller, John W . Tukey, and Charles P. Winsor (1947), " L o w moments for small samples: A comparative study of order statistics," Ann. Math. Statist. 18, 413-426. Reviews: MR (1948) 195, Math. Tables Aids Comput. (1950) 87. Users: Jones (1948), Wilks (1948), Godwin (1949a, 1949b), Walsh ( 1 9 4 9 d ) , Belz and H o o k e (1954), Sarhan and Greenberg (1956), Teichroew (1956), Bose and Gupta (1959), Bradley (1959b). KLNP Hayashi, Chikio (1950), "Fragments of a new test formula of normality," Annals of the Institute of Statistical Mathematics 1, 125-130. Review: MR (1951) 36. GLN Hayashi, Chikio (1950a), " T e s t for goodness of fit and chi-square test," Research Memoir of the Institute of Statistical Mathematics 6, 152-160. Japanese. Note: N o t seen. E Hays, David G., and Robert R. Bush ( 1 9 5 4 ) , " A study group action," American Sociological Review 19, 693-701. Note: Run test. O Hays, William L . (1960), " A note on average tau as a measure of concordance," /. Amer. Statist. Assoc. 55, 331-341. / Van der Heiden, J. A . (1952), " O n a correction term in the method of paired comparisons," Biometrica 39, 211-212. MN 121

HELLWIG

Hellwig, Zdislaw (1958), "Przyczynek do Zagadnienia Trendu," Przeglad Statystyczny 5, 361-384. Polish; Russian and English summary. Note: Not seen. A Hemelrijk, J. (1949a), "Construction of a confidence region for a line," Proceedings Koninkjijke Nederlandse Akademie van Wetenschappen 52 (Indagationes Mathematicae 11), 995-1005 (374-384). Review: MR (1950) 529. Users: Drion (1951), Neyman (1951), Neyman and Scott (1951), Theil (1951). Note: See mimeographed Report S 28 from the Mathematical Center, Amsterdam. / Hemelrijk, J. (1950a), "A family of parameterfree tests for symmetry with respect to a given point. I.," Proceedings Konin\lij\e Nederlandse Akademie van Wetenschappen 53 (Indagationes Mathematicae 12), 945-955 (340-350). Review: MR (1951) 37. Users: Hemelrijk (1950c), Ruist (1954), Walter (1954a), Benard and Eeden (1956), Walter (1956), Eeden and Benard (1957), Konijn (1957), Lehmann (1959), Walsh (1959). EF Hemelrijk, J. (1950b), "A family of parameterfree tests for symmetry with respect to a given point. II.," Proceedings Konin]{lij\e Nederlandse A\ademie van Wetenschappen 53 (Indagationes Mathematicae 12), 1186-1198 (419-431). Review: MR (1951) 429. Users: Hemelrijk (1950c), Kruskal and Wallis (1952), Lehmann (1953), Dantzig and Hemelrijk (1954), Walter (1954a), Benard and Eeden (1956), Konijn (1957), Lehmann (1959), Schmetterer (1959), Walsh (1959). EFG Hemelrijk, J. (1950c), Symmetrietoetsen en andere toepassingen van de theorie van Neyman en Pearson, Uitgeverij Excelsior, The Hague, 91 + 4. English summary (separate). Review: MR (1951) 511. Users: Westenberg (1952), Dantzig and Hemelrijk (1954), Ruist (1954), Munter (1955), Benard and Eeden (1956, 1957), Konijn (1957). Note: Not seen. EFG Hemelrijk, J. (1950d), A Symmetry Test, Report ZW-1950-015, Mathematical Center, Amsterdam, 9. Dutch. Review: MR (1951) 622. Note: Not seen. EFG Hemelrijk, J. (1950e), "Rangcorrelatie en de schattingsproef van Varangot," Statistica (Rijswijk) 4, 216-225. User: Eiteren and Peype (1956). Note: Not seen. / Hemelrijk, J. (1952), "A theorem on the sign test when ties are present," Proceedings Koninitli]\e Nederlandse Akademie van Wetenschappen (A) 55 (Indagationes Mathematicae 14), 322-326. Review: MR (1952) 962. Users: Benard and Eiteren (1953), Walter (1954b), Bradley (1955a, 1955c), Putter (1955b), Waerden and Nievergelt (1956), Glen and David (1960). G Hemelrijk, J. (1952c), "Note on Wilcoxon's two-sample test when ties are present," Ann. Math. Statist. 23, 133-135. Review: MR (1952) 762. 122

HILL

Users: Terpstra (1952a), Kruskal and Wallis (1952), Benard and Elteren (1953), Benard and Eeden (1953), Eeden (1953a), Dantzig and Hemelrijk (1954), Stoker (1954, 1954a), Armitage (1955), Munter (1955), Putter (1955b), Rosenblatt (1955), Stoker (1955), Wabeke and Eeden (1955a), Smid (1956), Cooper (1957). GN Hemelrijk, J. (1952d), "Parametrische en parametervrije methoden en hun toepassingen," Statistica (Rijswijk) 5, 171-184. English summary. Note: Not seen. A Hemelrijk, J. (1954, 1955), Exemple d'Application des Méthodes Nonparamétriques et un Nouveau Test pour l'Égalité de Plusieurs Probabilités, Report SP 38, Mathematical Center, Amsterdam, and Georges Thone, Liège; Masson et Cie., Paris. Also at Colloque sur l'Analyse Statistique (Brussels, December 15-17, 1954), 93-111. English summary. Review: MR (1956) 381. Users: Eeden and Hemelrijk (1955), Hemelrijk (1957). 10 Hemelrijk, J. (1958), "Distribution-free tests against trend and maximum likelihood estimates of ordered parameters," Bulletin de l'Institut International de Statistique 36, 15-25. English; French summary. Review: IJA (1961) 75. User: Eeden (1960). Note: Also as Report SP 56 of the Mathematical Center, Amsterdam. AI Hemelrijk, }. (1960), "The statistical work of David van Dantzig (19001959)," Ann. Math. Statist. 31, 269-275. Note: See Sec. 4. / Hemelrijk, J., et al., Cursus "Parametervrije Methoden," Report S59, Mathematical Center, Amsterdam. Users: Munter (1953b), Stoker (1954). Note: Not seen. ADFGJP Hemelrijk, J., and Ph. van Eiteren (1954), A Course in Applied Statistics, Report S 120, Statistics Department, Mathematical Center, Amsterdam, 78 + 8. Dutch. Review: MR (1955) 380. Note: Not seen. AG Herdan, G. (1949), "Use of statistical inequalities in polymer research," Research 2, 235. Users: Herdan (1950, 1953). CO Herdan, G. (1950), "Use of statistical inequalities in polymer research," Research 3, 35. User: Herdan (1953). CO Herdan, G. (1953), Small Particle Statistics: An Account of Statistical Methods for the Investigation of Finely Divided Materials, Elsevier, New York, 520. Review: /. Amer. Statist. Assoc. (1954) 665. Note: See Sec. 15.3 and 16.3.3. COX Heyman, William (1957), "Certain relationships between stimulus intensity and stimulus generalization," Journal of Experimental Psychology 53, 239-248. Note: Examples of partitioning of x2 on pp. 244-245. O Hill, Bruce M. (1960), "A relationship between Hodges' bivariate sign test and a non-parametric test of Daniels," Ann. Math. Statist. 31, 11901192. G 123

HILL

Hill, I. D. (1954), "The distribution of the regression coefficient in samples from a non-normal universe," Biometri\a 41, 548-552. Users: Bradley (1959b), Srivastava (1960). Κ Hiraga, Yoshihiko, Hidenori Morimura, and Hisao Watanabe (1954), "Tables for the three sample test," Annals of the Institute of Statistical Mathematics 5, 97-102. Errata: Ibid. (1955) 125. Review: MR (1954) 970-971. GP Hirschmann, Albert O. (1943), "On measures of dispersion for a finite distribution," /. Amer. Statist. Assoc. 38, 346-352. Review: MR (1944) 42. Κ Hodge, M. H. (1959), "The influence of irrelevant information upon complex visual discrimination," Journal of Experimental Psychology 57, 1-6. Note: Uses Η test and Friedman test. O Hodges, J. L., Jr. (1955a), "Gabon's rank-order test," Biometrica 42, 261262. Review: MR (1955) 941. Users: Feller (1950, 1957), Konijn (1957), Kruskal (1957). / Hodges, J. L., Jr. (1955b), "A bivariate sign test," Ann. Math. Statist. 26, 523-527. Reviews: MR (1956) 56, }. Amer. Statist. Assoc. (1956) 654. Users: Bradley (1955c), Blumen (1958), Klotz (1959), Hill (1960), Joffe and Klotz (1961). GP Hodges, J. L., Jr. (1958), "The significance probability of the Smirnov two-sample test," Ar\iv for Matemati\ 3, 469-486. Abstract: Ann. Math. Statist. (1957) 817. Review: MR (1959) 596. Users: Birnbaum and Hall (1959), Lehmann (1959), Reimann and Vincze (1960). FN Hodges, J. L., Jr., and E. L. Lehmann (1950), "Some problems in minimax point estimation," Ann. Math. Statist. 21, 182-197. Review: MR (1951) 36. Users: Lehmann (1950), Hoefïding (1956). BG Hodges, J. L., Jr., and E. L. Lehmann (1954), "Testing the approximate validity of statistical hypotheses," J. Roy. Statist. Soc. (Β) 16, 261-268. Users: Lehmann (1955, 1958). BE Hodges, J. L., Jr., and E. L. Lehmann (1954a), "Matching in paired comparisons," Ann. Math. Statist. 25, 787-791. Review: MR (1955) 383. Users: Hodges and Lehmann (1956), Konijn (1957). G Hodges, J. L., Jr., and E. L. Lehmann (1956), "The efficiency of some nonparametric competitors of the ¿-test," Ann. Math. Statist. 27, 324335. Abstract: Ann. Math. Statist. (1955) 155. Review: MR (1957) 78. Users: Konijn (1957), Savage (1957a), Chapman (1958), Chemofï and Savage (1958), Noether (1958), Bahadur (1959), Capon (1959, 1959a), Eiteren and Noether (1959), Lehmann (1959), McLemore (1959), Scheffé (1959), Bahadur (1960, 1960a), Β. V. Sukhatme (1960). G Hodges, J. L., Jr., and E. L. Lehmann, "Comparison of normal scores and Wilcoxon tests." Abstract: Ann. Math. Statist. (1960) 816. G 124

HOEFFDING

Hodges, J. L., Jr., and E. L. Lehmann (1960a), Basic Concepts of Probability and Statistics, prelim, ed., Holden-Day, San Francisco. Approximately 300. Note: Contingency tables and Wilcoxon statistic are emphasized since they are working only with discrete distributions. AGH Hodges, J. L., Jr., and E. L. Lehmann, "Nonparametric methods for additive effects." Abstract: Ann. Math. Statist. (1961) 341. GK Hoeffding, Wassily (1940), "Massstabinvariante Korrelationstheorie," Schriften des Mathematischen Instituts und des Instituts für angewandte Mathematik der Universität Berlin 5, 179-233. Review: MR (1942) 5. Users: Steffensen (1941), Hoeffding (1942), Kruskal (1958), Goodman and Kruskal (1959). Note: Not seen. / Hoeffding, Wassily (1941), "Massstabinvariante Korrelationsmasse für diskontinuierliche Verteilungen," Archiv für mathematische Wirtschaftsund Sozialforschung 7, 49-70. Users: Hoeffding (1942), Kruskal (1958), Goodman and Kruskal (1959). Note: Not seen. / Hoeffding, Wassily (1942), "Stochastische Abhängigkeit und funktionaler Zusammenhang," S\andinavis\ A\tuarietids\rift 25, 200-227. Review: MR (1946) 212. Users: Kruskal (1958), Goodman and Kruskal (1959).

/

Hoeffding, Wassily (1947), "On the distribution of the rank correlation coefficient τ when the variates are not independent," Biometrica 34, 183-196. Review: MR (1948) 364. Users: Hoeffding (1948a), Moran (1950a), Sundrum (1953b), Kendall (1955b), Stuart (1956b), Kruskal (1958). JN Hoeffding, Wassily (1948a), " A class of statistics with asymptotically normal distribution," Ann. Math. Statist. 19, 293-325. Review: MR (1949) 134. Users: Hoeffding (1948b), Moran (1948b), Daniels (1950), Janko (1950), Moran (1950a), Noether (1950), Durbin and Stuart (1951), Lehmann (1951), Moran (1951b), Kruskal and Wallis (1952), Okamoto (1952c, 1952d), Stuart (1953), Andrews (1954), Dantzig and Hemelrijk (1954), Ghosh (1954), Mood (1954), Stoker (1954, 1954a), Sundrum (1954), Terpstra (1954), Dantzig (1955), Munter (1955), Putter (1955b), Rosenblatt (1955), Stoker (1955), Dwass (1956), Féron (1956), Hájek (1956), Konijn (1956), Schaeffer and Levitt (1956), Stuart (1956b), Wegner (1956), Fraser (1957), Konijn (1957), Mallows (1957), B. Sukhatme (1957a, 1958), Bhapkar (1959), Capon (1959), Goodman (1959a), Konijn (1959), Sethuraman and Sukhatme (1959), Wilks (1959), Hoeffding (1960), S. Sukhatme (1960), Tamura (I960), Goodman and Grunfeld (1961). ABN Hoeffding, Wassily (1948b), "A non-parametric test of independence," Ann. Math. Statist. 19, 546-557. Review: MR (1949) 554. Users: Blomqvist (1950), Moran (1950a), Lehmann (1951), Kendall and Sundrum 125

HOEFFDING

(1953), Munter (1953b), Dantzig and Hemelrijk (1954), Dantzig (1955), Munter (1955), Malusila and Akaike (1956), Blum (1958), Wilks (1959). JNP Hoeffding, Wassily, "Most powerful rank order tests." Abstract: Biometrics (1950) 177-178. User: Dwass (1953). Hoeffding, Wassily (1951a), "A combinatorial central limit theorem," Ann. Math. Statist. 22, 558-566. Review: MR (1952) 363. Users: Hoeffding (1952a), Dwass (1953, 1957a), Silvey (1954), Stoker (1954), Eeden and Hemelrijk (1955), Stoker (1955), Fraser (1956), Walter (1956), Fraser (1957), Motoo (1957), Waerden (1957), Cox (1958). Ν Hoeffding, Wassily (1951b), "'Optimum' nonparametric tests," Proceedings of the Second Berkeley Symposium on Mathematical Statistics and Probability, University of California Press, Berkeley, 83-92. Users: Terry (1952), Hoeffding (1953a), Lehmann (1953), Dantzig and Hemelrijk (1954), Ruist (1954), Munter (1955), Neyman (1955), Rosenblatt (1955), Stoker (1955), Teichroew (1955c), Tsao (1955), Dwass (1956), Hodges and Lehmann (1956), Matusita and Akaike (1956), Walter (1956), Fieller, et al. (1957), Fraser (1957, 1957a), Konijn (1957), Tsao (1957), Hall (1958, 1958a), Capon (1959), Hall (1959), Lehmann (1959), Walter (1959a, 1959b), Pfanzagl (1960), J. Rosenblatt (1960), Terry (I960), Capon (1961). Β Hoeffding, Wassily (1952a), "The large-sample power of tests based on permutations of observations," Ann. Math. Statist. 23, 169-192. Review: MR (1954) 241-242. Users: Moriguti (1953), Dantzig and Hemelrijk (1954), Mood (1954), Dwass (1955), Munter (1955), Stoker (1955), Dwass (1956), Hoeffding (1956), Scheffé (1956), Fraser (1957), Konijn (1957), Scheffé (1959), Wilks (1959). AB Hoeffding, Wassily, "Some powerful rank order tests." Abstract: Ann. Math. Statist. (1952b) 303. Users: Kruskal and Wallis (1952, 1953). BJ Hoeffding, Wassily (1953a), "On the distribution of the expected values of the order statistics," Ann. Math. Statist. 24, 93-100. Review: MR (1953) 887. Users: Dwass (1953, 1955), Stoker (1955), Dwass (1956, 1957a), Fraser (1957, 1957a), Blom (1958). LN Hoeffding, Wassily (1954), The Efficiency of Tests. Institute of Statistics Mimeograph Series No. 99, University of North Carolina. Users: Hoeffding and Rosenblatt (1955), J. Rosenblatt (1955). Β Hoeffding, Wassily (1955a), "The extreme of the expected value of a function of independent random variables," Ann. Math. Statist. 26, 268275. Abstract: Ann. Math. Statist. (1953) 692. Review: MR (1955) 1128. Users: Hoeffding and Shrikhande (1955), Mallows (1956a), Rustagi (1957). C 126

HOEL

Hoefíding, Wassily (1956), "The role of assumptions in statistical decisions," Proceedings of the Third Berkeley Symposium on Mathematical Statistics and Probability, Vol. I, University of California Press, Berkeley, 105-114. Review: MR (1957) 947. Users: Cox (1958a), Hoefíding and Wolfowitz (1958). Β Hoefíding, Wassily (1956a), "On the distribution of the number of successes in independent trials," Ann. Math. Statist. 27, 713-721. Users: Feller (1957), Cohen (1959). C Hoefíding, Wassily, "An upper bound for the variance of certain statistics." Abstract: Ann. Math. Statist. (1958) 620. EJN Hoefíding, Wassily (1960), "An upper bound for the variance of Kendall's 'tau' and of related statistics," Contributions to Probability and Statistics; Essays in Honor of Harold Hotelling, Ingram Olkin, et al., eds., Stanford University Press, Stanford, California, 258-264. JN Hoefíding, Wassily, and Herbert Robbins (1948), "The central limit theorem for dependent random variables," Du\e Mathematical Journal 15, 773-780. Review: MR (1949) 200. Users: Noether (1950), Stuart (1952), Doob (1953), Marsaglia (1954), Sundrum (1954), Watson (1954), Diananda (1955), Kallianpur (1955), Billingsley (1956), Féron (1956), Munter (1956), Fraser (1957), Grenander and Rosenblatt (1957), Lomnicki and Zaremba (1957), Orey (1958), Goodman (1959a), Goodman and Grunfeld (1961). Ν Hoefíding, Wassily, and Joan Rosenblatt (1955), "The efficiency of tests," Ann. Math. Statist. 26, 52-63. Abstract: Ann. Math. Statist. (1954) 813. Review: MR (1955) 1133. Users: Rosenblatt (1955), Dwass (1956), Hodges and Lehmann (1956), Walter (1956), Mitra (1958), Noether (1958), Bahadur (1959), Quade (1959), Bahadur (1960). Β Hoefíding, Wassily, and S. S. Shrikhande (1955), "Bounds for the distribution function of a sum of independent, identically distributed random variables," Ann. Math. Statist. 26, 439-449. Abstract: Ann. Math. Statist. (1954) 177. Review: MR (1956) 275. Users: Hoefíding (1955a), Mallows (1956a), Rustagi (1957). C Hoeffding, Wassily, and J. Wolfowitz (1958), "Distinguishability of sets of distributions (the case of independent and identically distributed chance variables)," Ann. Math. Statist. 29, 700-718. Review: MR (1959) 340. BX Hoel, Paul G. (1938), "On the chi-square distribution for small samples," Ann. Math. Statist. 9, 158-165. Users: Wallis and Moore (1941a), Dodd (1942), Kendall (1948), Adler (1951), Vora (1951), Bross and Delaney (1952), Darwin (1958), Watson (1959). EN Hoel, Paul G. (1954), Introduction to Mathematical Statistics, 2nd ed., Wiley, New York, xi, 331. Reviews: Psychometri/(a (1954) 334, /. Amer. 127

HOEL

Statist. Assoc. (1955) 607-608, Economica (1955) 189-190. Users: Lewis and Burke (1949), Edwards (1950), Walsh (1950b, 1950c), Adler (1951), Brozek and Tiede (1952), Freund (1952 1st edition), Kempthorne (1952), Moses (1952), Wilson (1952), Craig (1953), E. S. Smith (1953), Walsh (1953), Bush and Mosteller (1955), Gartaganis (1955), Gephart (1955), Eiteren and Peype (1956), Mandel and Linnig (1956), Fager (1957), Freund and Williams (1958), MacArthur (1958), Adler and Roessler (1960), Brunk (1960), Freund (1960). Note: Ch. 9, "Nonparametric methods" and Ch. 10, "Testing Goodness of Fit." 1947 first edition. A Hoel, Paul G. (1960), Elementary Statistics, Wiley, New York, vii, 261. Note: See Chs. 10 and 11 and Sec. 13.2.1. H Hogg, Robert V., and Allen T . Craig (1959), Introduction to Mathematical Statistics, MacMillan, New York, 245. Review: American Mathematical Monthly (1960) 709-710. Note: See Sees. 4.6, 4.7, 8.1-8.4, 11.4. A Hojo, Tokishige (1931), "Distribution of the median, quartiles and interquartile distance in samples from a normal population," Biometrica 23, 315-360. Users: Pearson and Pearson (1931), Hojo (1933), Kendall (1948), Pillai (1948), Godwin (1949a), Pillai (1950), Cadwell (1952), David and Johnson (1954), Watanabe, et al. (1957), Bose and Gupta (1959). LN Hojo, Tokishige (1933), " A further note on the relation between the median and the quartiles in small samples from a normal population," Biometrica 25, 79-90. Users: Kendall (1948), Watanabe, et al. (1957). LP Holland, James F., Robert Guthrie, Paul Sheehe, and Howard Tieckelman (1958), "Inhibition of tumor growth in mice by a series of 2-substituted thiopyrimidines," Cancer Research 18, 776-780. Note: Contingency table data combined. O Homma, Tsuruchiyo (1951), "On the asymptotic independence of order statistics," Reports of Statistical Application Research, Union of Japanese Scientists and Engineers 1, 1-8. Review: MR (1952) 64. L Hopkins, Charles Owen (1955), "Effectiveness of secondary reinforcing stimuli as a function of the quantity and quality of food reinforcement," Journal of Experimental Psychology 50, 339-342. Note: Uses Wilcoxon test. O Hopkins, J. W. (1954), "Incomplete block rank analysis: Some taste test results," Biometrics 10, 391-399. Review: IJA-I (1956) 766. Users: Bradley and Somerville (1953), Bradley (1954a, 1955a), Gridgeman (1955), Bliss, Greenwood and White (1956), Bradley and Kramer (1956), Bradley and Pendergrass (1957, 1959), Bliss (1960). Note: Detailed numerical example. 0 Hopkins, J. W., and N. T . Gridgeman (1955), "Comparative sensitivity 128

HOYT of pair and triad flavor intensity difference tests," Biometrics 11, 63-68. Users: Bradley and Kramer (1956), Ura (1960a). M Horalek, V. (1955), "Note on the Kolmogorov-Smirnov test of goodness of fit," Sovets^a Veda-Matemati\a Fysica Astronomie 5, 493-496. Czech. Note: Not seen. E Horano, S., et al. (1956), "Comparison of Schefïé method with Bradley method by means of tipping experiment," Statistical Quality Control (,Special Issue), 1-4. Japanese. Review: IJÂ-I (1957) 1191. Note: Not seen. KM Horn, D. (1942), "A correction for the effect of tied ranks on the value of the rank difference correlation coefficient," Journal of Educational Psychology 33, 686-690. Users: Moran (1950a), Kruskal and Wallis (1952). / Horsnell, G. (1953), "The effect of unequal group variances on the F-test for the homogeneity of group means," Biometrica 40, 128-136. Users: Box (1953), Box and Andersen (1955), L. V. Jones (1955), Schefïé (1956), J. V. Bradley (1959b), Schefïé (1959), Boneau (1960). KP Hotelling, Harold (1940), "The teaching of statistics," Ann. Math. Statist. 11, 457-470. Note: See 460-461. / Hotelling, Harold, "Effects of non-normality at high significance levels." Abstract: Ann. Math. Statist. (1947) 608-609. Users: R. A. Bradley (1952a, 1952b), J. V. Bradley (1959b). Κ Hotelling, Harold, and Margaret Richards Pabst (1936), "Rank correlation and tests of significance involving no assumption of normality," Ann. Math. Statist. 7, 29^13. Users: Friedman (1937), Kendall (1938), Olds (1938), W. R. Thompson (1938), Kendall, Kendall, and Smith (1939), K. R. Nair (1940a), Wallis and Moore (1941a), Neyman (1942), Wallis (1942), Wolfowitz (1942), Scheffé (1943b), Thornton (1943), Daniels (1944), Wald and Wolfowitz (1944), Hoeffding (1948a, 1948b), Kendall (1948), Wilks (1948), P. O. Johnson (1949), Wolfowitz (1949), Janko (1950), David, Kendall, and Stuart (1951), Hoeffding (1951), Moran (1951b), R. A. Bradley (1952a, 1952b), Kruskal and Wallis (1952), Lyerly (1952), Dwass (1953), Silvey (1953), Walker and Lev (1953), Amato (1954a), Jonckheere (1954b), Stuart (1954b, 1954d), Sundrum (1954d), Amato (1955, 1956), Barton and David (1956b), Fraser (1956), Konijn (1956), Mallows (1957), Savage (1957), Wilks (1959). JN Housner, G. W., and J. F. Brennan (1948), "The estimation of linear trends," Ann. Math. Statist. 19, 380-388. Review: MR (1949) 201. Users: Neyman (1951), Theil (1951), Madansky (1959). IN Howes, David (1954), "On the interpretation of word frequency as a variable affecting speed of recognition," Journal of Experimental Psychology 48, 106-112. Note: Spearman's p. O Hoyt, Cyril J., P. R. Krishnaiah, and E. Paul Torrance (1959), "Analysis 129

HSU of complex contingency d a t a , " Journal of Experimental Education 27, 187-194. HO H s u , P. L . ( 1 9 4 5 ) , " T h e approximate distributions of the m e a n and variance of a s a m p l e of independent variables," Ann. Math. Statist. 16, 1-29. R e v i e w : MR ( 1 9 4 5 ) 233. Users: Feller ( 1 9 4 5 ) , C h u n g ( 1 9 4 6 ) , L e h m a n n ( 1 9 5 0 a ) , G o d w i n ( 1 9 5 5 ) , J . R . Rosenblatt ( 1 9 5 5 ) , Wallace (1958). Ν H s u , P. L . ( 1 9 4 9 ) , " T h e limiting distribution of functions of a n d application to testing hypotheses," Proceedings of Symposium on Mathematical Statistics and Probability, California Press, Berkeley, 359-402. Users: Cochran ( 1 9 5 0 ) , (1953c), Kullback (1959).

s a m p l e means the Berkeley University of R. A . Bradley Ν

H u b b a r d , W . R . ( 1 9 5 1 ) , "Secondary reinforcement of a simple discrimination in h u m a n b e i n g s , " Journal of Experimental Psychology 41, 233-241. User: Siegel and Foshee ( 1 9 5 3 ) . Note: x 2 test. O H u d i m o t o , Hirosi ( 1 9 5 6 ) , " N o t e on fitting a straight line when both variables are subject to error and s o m e applications," Annals of the Institute of Statistical Mathematics 7, 159-167. R e v i e w : MR ( 1 9 5 7 ) 242.

/

H u d i m o t o , Hirosi ( 1 9 5 6 a ) , " O n the distribution-free classification of an individual into one of two g r o u p s , " Annals of the Institute of Statistical Mathematics 8, 105-112. Review: MR ( 1 9 5 8 ) 472. User: Hudimoto (1957). G

H u d i m o t o , H i r o s i ( 1 9 5 7 ) , " A note on the probability of the correct classification when the distributions are not specified," Annals of the Institute of Statistical Mathematics 9, 31-36. Review: MR ( 1 9 5 8 ) 1094. User: H u d i m o t o ( 1 9 5 8 ) . G H u d i m o t o , H i r o s i ( 1 9 5 8 ) , " T h e problem of classification and two sample test," Proceedings of the Institute of Statistical Mathematics 5, 153-162. Japanese; E n g l i s h abstract. G H u d i m o t o , H i r o s i ( 1 9 5 9 ) , " O n a two-sample non-parametric test in the case that ties are present," Annals of the Institute of Statistical Mathematics 11, 113-120. Reviews: IJA ( 1 9 6 0 ) 621, MR ( 1 9 6 1 ) 53. G H u d i m o t o , H i r o s i ( 1 9 6 0 ) , " O n a coefficient of unidimensional ordering for the individual attitudes," Annals of the Institute of Statistical Mathematics 12, 27-35. M H u f ï , G . Β . ( 1 9 5 6 ) , " A probability problem arising in g r a d i n g , " American Mathematical Monthly 63, 523. / H u k u d a , Zirô ( 1 9 5 5 ) , " O n the intersecting points of two empirical cumulative distributions," Res. Rep. Tac. Eng. ( G i f u University) 2, Japanese. Note: N o t seen. F 130

IRICK Hukuda, Zirô (1956a), "Problems on run," Res. Rep. Fac. Eng. ( G i f u University) Japanese. Note: Not seen. Ν H u k u d a , Zirô (1956b), "On a test using order statistics," Res. Rep. Fuc. Eng. (Gifu University) 2. Japanese. Note: N o t seen. G Hülse, Stewart H., Jr., and Walter C. Stanley (1956), "Extinction by omission of food as related to partial and secondary reinforcement," Journal of Experimental Psychology 52, 221-227. Note: Wilcoxon twosample test. O H u m e , C. W . (1957), " T h e strategy and tactics of experimentation," Lancet 273, 1049-1052. Note: Fisher's exact test. O Huntington, Ε. V. (1937), "A rating table for card matching experiments," Journal of Parapsychology 4, 292-294. User: Battin (1942). NP Hurst, Paul M., and Sidney Siegel (1956), "Prediction of decisions from a higher ordered metric scale of utility," Journal of Experimental Psychology 52, 138-144. Note: Wilcoxon one-sample and paired replicates tests. O Husson, A. M. (1953), "On the foramen magnum occipitale and some other skull-measurements of Cricetus cricetus canescens Nehring with respect to sexual dimorphism. I and II," Proceedings, Koninl{lij\e Nederlandsche Akademie van Wetenschappen (C) 56, 609-617, 618-630. Note: Application of Wilcoxon test. O Hutton, Kenneth H., and Clarence J. Goodnight (1957), "Variations in the blood chemistry of turtles under active and hibernating conditions," Physiological Zoology 30, 198-207. Note: Median test. O Illyasenko, O. A. (1952), "On the influence of grouping of empirical data on A. N. Kolmogorov's criterion of fit," Dopovidi Akfldemii Naul[ U\raïns'\oi Radyans'koi Socialisticnoi Re ¡publik}, 3-6. Ukrainian; Russian summary. Review: MR (1954) 724. Note: Not seen. EN Ingham, J. G. (1955), "Psychoneurosis and suggestibility," Journal of Abnormal and Social Psychology 51, 600-603. O Institute of Mathematical Statistics, and American Mathematical Society (1961), Selected Translations in Mathematical Statistics and Probability, Volume 1, American Mathematical Society, Providence, Rhode Island, ν + 306. Note: English translations of Gnedenko and Korolyuk (1951), Gihman (1952), Gnedenko (1952), Gnedenko and Mihalevic (1952), Gnedenko and Rvaceva (1952), Mihalevic (1952), Jirina (1953), Sanov (1957). ADEFN Irick, Paul, "Sampling distributions for dispersion statistics." Abstract: Biometrics (1952) 93-94. LN

131

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Irion, A. L., and L. M. Gustafson (1952), "'Reminiscence' in bilateral transfer," Journal of Experimental Psychology 43, 321-323. O Irwin, }. O. (1925), "The further theory of Francis Galton's individual difference problem," Biometrica 17, 100-128. Users: Tippett (1925), Wilks (1948), Godwin (1949b), Kendall (1955b), Blom (1958). L Irwin, J. O. (1935), "Tests of significance for differences between percentages based on small numbers," Metron 12, 83-94. Users: Swaroop (1938), Kendall (1948), F. Adler (1951), Lehmann (1959). H Irwin, J. O. (1949), "A note on the subdivision of x 2 into components," Biometrica 36, 130-134. Review: MR (1950) 528. Users: Lancaster (1949a, 1950, 1951), Cochran (1952), Fog (1953), Lancaster (1953), Cochran (1954), A. W. Kimball (1954), Batson (1956), Corsten (1957), Sutcliffe (1957), Kullback (1959), Kastenbaum (I960). H Ishii, Goro (1958), "Test of fit in life test," Annals of the Institute of Statistical Mathematics 9, 117-125. Users: Ishii (1959, 1960). EN Ishii, Goro (1959), "Kolmogorov-Smirnov test in life test," Annals of the Institute of Statistical Mathematics 10, 37-46. Reviews: If A (1959) 69, MR (1959) 1110. Users: Tsao (1954), Ishii (1959a), Marshall and Olkin (1960c). EFN Ishii, Goro (1959a), "On the exact probabilities of Rényi's tests," Annals of the Institute of Statistical Mathematics 11, 17-24. Reviews: 1JA (1960) 412, MR (1960) 1240. User: Marshall and Olkin (1960c). E Ishii, Goro (1959b), "On a non-parametric test in life test," Bulletin of Mathematical Statistics 8, 73-79. Reviews: If A (1960) 622, MR (1961) 351. User: Ishii (1960). G Ishii, Goro (1960), "A note on a nonparametric two-sample test," Bulletin of Mathematical Statistics 9, 57-60. FN Ishikawa, Eisuke (1954), "Test of goodness of fit with the basic set," Annual Reports of the Ga\ugei Faculty (Iwate University) 6, 1-6. Japanese; English abstract. Note: Not seen. E Isii, Keiiti (1957), "Some investigations of the relation between distribution functions and their moments," Annals of the Institute of Statistical Mathematics 9, 1-11. Review: MR (1958) 1086. C Isii, Keiiti (1959), "On a method for generalizations of Tchebycheff's inequality," Annals of the Institute of Statistical Mathematics 10, 65-88. Reviews: IfA (1960) 357, MR (1960) 832. C Isii, Keiiti (1959a) "On Tchebycheff type inequalities," Proceedings of the Institute of Statistical Mathematics 7, 123-143. Japanese; English summary. Note: Not seen. C Isii, Keiiti (1959b), "Bounds on probability for non-negative random variables," Annals of the Institute of Statistical Mathematics 11, 89-99. Review: I]A (1960) 548. C 132

JEFFRIES Ising, Ernest (1925), "Beitrag zur Theorie des Ferromagnetismus," Zeitschrift für Physi\ 31, 253-258. Users: Wishart and Hirschfeld (1936), Mood (1940), Moran (1947a), Kuipers (1957). Ν Ivanovic, B. (1952), "Precision de la déviation standarde pour une répartition quelconque," Srps\a A\ademija Naui{a. Zborni\ Radova (Matematici^ Institut) 18, 173-180. Serbian; French summary. Review: MR (1953) 293. Ν Jackson, J. Edward (1960), "Bibliography on sequential analysis," /. Amer. Statist. Assoc. 55, 561-580. Note: See classification / of Jackson's bibliography. A Jackson, J. Edward, and Mary Fleckenstein (1957), "An evaluation of some statistical techniques used in the analysis of paired comparisons data," Biometrics 13, 51-64. Users: Pendergrass and Bradley (1957), Dykstra (1958), Starks and David (1959), Bliss (1960). AM James, Stanley F . (1956), "Some sampling problems in connection with accounting records," Applied Statistics 5, 86-105. Note: x2 goodnessof-fit test. O Janko, Jaroslav (1950), "Advances in the theory of non-parametric tests in statistical inference," Casopis pro Pêstovâni Matemati\y a Fysi\y 74, 62-74. Czech; English summary. Review: MR (1951) 429. A Janko, Jaroslav (1958), Statistical Tables, Czechoslovakian Academy of Sciences, Prague, 251. Czech. Review: Biometrica (1958) 597. Note: Not seen. Ρ Jardine, R. (1958), "Ranking methods and the measurement of attitudes," /. Amer. Statist. Assoc. 53, 720-728. Review: QCAS (1959) 143. Users: Goodman (1959b), Hudimoto (1960). M Jasper, Ν. H. (1956), "Statistical distribution patterns of ocean waves and of wave-induced ship stresses and motions, with engineering applications," Society of Naval Architects and Marine Engineers (Transactions) 64, 375-432. Note: With discussion. O Jeeves, Τ . Α., and Robert Richards, " A note on the power of the sign test." Abstract: Ann. Math. Statist. (1950) 618. User: Dixon (1953). G Jeffreys, Harold (1937), "The tests for sampling differences and contingency," Proceedings of the Royal Society of London 162, 479-495. User: Jeffreys (1957). H Jeffreys, Harold (1957), Scientific Inference, 2nd ed., Cambridge University Press, New York, viii, 236. Review: J. Amer. Statist. Assoc. (1958) 755-756. Users: Wishart and Hirschfeld (1936), Jeffreys (1937), Good (1950). Note: First edition 1937. Β Jeffries, Zay, et al. (1953), Report of the Committee on Battery Additives of the National Academy of Sciences, National Academy of Sciences. 133

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National Research Council, Washington. Note: See Appendix II. Not seen. 0 Jerison, Harry J., and Ronald A. Wallis (1957), Experiments on Vigilance: One-Cloc\ and Three-Cloc\ Monitoring II, WADC Technical Report 57-206, Wright Air Development Center, Wright-Patterson Air Force Base, Ohio (ASTIA No. AD 118171). Note: Friedman and KruskalWallis tests. O Jessee, R. W. (1958), "A comparative study of fully accredited basic nursing programs," Nursing Research 7, 100-112. Note: Rank correlation. O Jessop, W. N. (1955), "Statistical aspects of the analysis of usage trials," Bulletin de l'Institut International de Statistique 34 (4), 286-297. AMO Jirina, Miroslav (1952), "Sequential estimation of distribution-free tolerance limits," Ce\oslovac\ii Matematices\ii ¿urnal 2 (77), 221-232. Russian; English summary. English translation in Institute of Mathematical Statistics and American Mathematical Society (1961). Errata: Ibid. (1953) 283. Review: MR (1954) 637. Users: Saunders (1956, 1960). Note: Not seen. D Joffe, Α., and Jerome Klotz, "Null distribution and Bahadur efficiency of the Hodges bivariate sign test." Abstract: Ann. Math. Statist. (1961) 341. GN John, E. R., Β. M. Wenzel, and R. D. Tschirgi (1958), "Differential effects of reserpine in conditioned responses in cats," Science 127, 26-26. Note: Friedman's analysis of variances. O Johns, Milton Vernon, Jr. (1957), "Non-parametric empirical Bayes procedures," Ann. Math. Statist. 28, 649-669. Review: MR (1959) 468. User: Johns (1959). Note: Prior distributions unspecified. BG Johns, Milton Vernon, Jr. (1961), "An empirical Bayes approach to nonparametric two-way classification," Studies in Item Analysis and Prediction, ed. Herbert Solomon, Stanford University Press, Stanford, California, 221-232. Note: Also as a 1959 report. G Johnson, Arne I. (1953), Strength, Safety and Economical Dimensions of Structures, Bulletin No. 12 of the Division of Building Statics and Structural Engineering at the Royal Institute of Technology, Stockholm, 159. LO Johnson, F. H. (1956), "Northern pike year-class strength and water levels," Transactions American Fisheries Society 86, 285-293. Note: Not seen. Rank correlation. O Johnson, Leonard G., "A method of reducing the time required to complete certain fatigue tests." Abstract: Ann. Math. Statist. (1952) 144. L Johnson, N. L. (1948), "Tests of significance in the variate difference 134

JONES

method," Biometrica 35, 206-209. Review: MR (1949) 51. IN Johnson, N. L. (1952), "Approximations to the probability integral of the distribution of range," Biometrica 39, 417-419. Reviews: MR (1953) 485, ). Amer. Statist. Assoc. (1954) 180. L Johnson, N. L., and D. H. Young (1960), "Some applications of two approximations to the multinomial distribution," Biometrica 47, 463469. ENP Johnson, Palmer O. (1949), Statistical Methods in Research, Prentice-Hall, New York, 377. Review: British Journal of Statistical Psychology (1951) 63-64. Users: Lubin (1950), Moses (1952), Thompson (1952), Bendig (1954), Lamke (1955), Linhart (1958). Note: Page 80 sign-testing, pp. 91-97 χ2 goodness-of-fit, Ch. 8 correlation Friedman A of V, concordance. A Johnson, Palmer O. (1950), "The quantification of data in discriminant analysis," ]. Amer. Statist. Assoc. 45, 65-76. User: Hudimoto (1958). M Johnson, R. G. (1955), "The adaptive and phylogenetic significance of vertebral form in snakes," Evolution 9, 367-388. Note: Rank correlation and analysis of variance, Kolmogorov-Smirnov test, H-test. O Johnston, J. (1954), "A revised test for systematic oscillation," /. Roy. Statist. Soc. (B) 16, 292-295. I Jonckheere, A. R. (1954a), "A test of significance for the relation between m rankings and /( ranked categories," British Journal of Statistical Psychology 7, 93-100. Users: Lubin (1954), Whitfield (1954). GN Jonckheere, A. R. (1954b), "A distribution free ^-sample test against ordered alternatives," Biometrica 41, 133-145. Reviews: MR (1954) 886, }. Amer. Statist. Assoc. (1955) 252. Users: Jonckheere (1954a), Lubin (1954), Moses (1956), Lubin (1957 abstract), Savage (1957), Siegel and Siegel (1957), Sollberger (1960). GP Jones, A. E. (1946), "A useful method for the routine estimation of dispersion from large samples," Biometrica 33, 274-282. Review: MR (1947) 42. Users: K. R. Nair (1948b, 1950), Sillitto (1951), Cadwell (1953), H. A. David (1958a), Harter (1959). LP Jones, Herbert E. (1937), "The theory of runs as applied to time series," Report of the Third Annual Research Conference on Economics and Statistics, Cowles Commission, 33-36. Users: Dodd (1939), Wallis and Moore (1941a), Kendall (1948). IO Jones, Howard L. (1948), "Exact lower moments of order statistics in small samples from a normal distribution," Ann. Math. Statist. 19, 270-273. Review: MR (1948) 601. Users: Godwin (1949a, 1949b), Mood (1954), H. A. David (1955), Dwass (1956), Teichroew (1956), Watanabe, Isida, and Taga (1957), Bose and Gupta (1959). LP Jones, Howard L. (1953), "Approximating the mode from weighted 135

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sample values," /. Amer. Statist. Assoc. 48, 113-127. Review: Math. Tables Aids Comput. (1954) 81. KP Jones, Howard L. (1958), "Inadmissible samples and confidence limits," /. Amer. Statist. Assoc. 53, 482^90. Note: Page 487, Sec. 4, eq. 6-8, tests of randomness. IN Jones, Howard L. (1959), "How many of a group of random numbers will be usable in selecting a particular sample?" /. Amer. Statist. Assoc. 54, 102-122. Review: If A (1960) 549. NP Jones, Lyle V. (1955), "Statistical theory and research design," Annual Review of Psychology 6, 405-430. A Jones, Marshall B. (1957), "An addition to Schaefïer and Levitt's 'Kendall's T a u , ' " Psychological Bulletin 54, 159-160. Review: QCAS (1957) 875. / de Jongh, B. H. (1941), "General minimum-probability theorem," Proceedings Konin\lij\e Nederlandse Akademie van Wetenschappen 44, 738-743. Dutch; German summary. Review: MR (1942) 168. C Jordan, Charles (1927), "Les coefficients d'intensité relative de Korosy," Revue de la Société Hongroise de Statistique 5, 332-345. Users: Féron (1956), Goodman and Kruskal (1959). H Joseph, A. W., and M. T . L. Bizley (1960), "The two-pack matching problem," J. Roy. Statist. Soc. (Β) 22, 114-130. Review: IJA (1961) 17. NP Josifko, Marcel (1958), "The characteristic function of the Kendall's rank correlation coefficient," Casopis pro Pëstovânî Matemati\y 83, 56-59. Czech; Russian and English summaries. Review: MR (1959) 467. JN Judd, Deane B. (1936), " A method for determining whiteness of paper, II," Paper Trade Journal 103 (8), 38-44. JMO Julin, A. (1935), "De quelques méthodes de détermination de la covariation," Revue de l'Institut International de Statistique 3, 251-277. User: Kruskal ( 1958). Note: Not seen. H Juncosa, M. L. (1949), "The asymptotic behavior of the minimum in a sequence of random variables," Du\e Mathematical fournal 16, 609618. Review: MR (1950) 375. IN Juncosa, M. L. (1953), Random Number Generation on the BRL Highspeed Computing Machines, Report No. 885, Ballistic Research Laboratories, Aberdeen Proving Ground, Maryland, 25. Review: MR (1954) 558. Users: Taussky and Todd (1954), Rand Corporation (1955), Bofinger and Bofinger (1958). Note: Not seen. O Jung, Jan (1955), "On linear estimates defined by a continuous weight function," Ar\iv for Matemati\ 3, 199-209. Users: Blom (1956, 1958). LN 136

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Jurgensen, C. E. (1947), "Table for determining phi coefficients," Psychometri\a 12, 17-29. JP Juvancz, Iréneusz and Tamás Lipták (1952-53), "Sur quelques problèmes de l'application médico-biologique de la statistique mathématique," Magyar Tudomânyos Academia Al\almazott Mathématikai lntézeténe\ Kôzleményei 1, 175-205. Hungarian; French and Russian summaries. Review: MR (1954) 243. FOP Kaarsemaker, L., and A. van Wijngaarden (1953), "Tables for use in rank correlation," Statistica Neerlandica 7, 41-54. Dutch. Review: MR (1954) 331. Users: Dantzig and Hemelrijk (1954), Kendall (1955b), Smid (1956), Eeden and Korswagen (1959). JP Kac, M. (1949), "On deviations between theoretical and empirical distributions," Proceedings of the National Academy of Sciences (U.S.A.) 35, 252-257. Review: MR (1949) 614. Users: Donsker (1952), Juvancz and Lipták (1952), Dwass (1958). EN Kac, M., J. Kiefer, and f. Wolfowitz (1955), "On tests of normality and other tests of goodness of fit based on distance methods," Ann. Math. Statist. 26, 189-211. Abstract: Ann. Math. Statist. (1954) 811. Review: MR (1956) 55. Users: Wolfowitz (1954a, 1957), Baker (1958), Kiefer and Wolfowitz (1958), Noether (1958), J. I. Rosenblatt (1958), Kiefer (1959). EP Kac, M., and A. J. F. Siegert (1947), "An explicit representation of a stationary Gaussian process," Ann. Math. Statist. 18, 438-442. User: T. W. Anderson (1954). Ν Kallianpur, G. (1955), "On a limit theorem for dependent random variables," Do\lady A\ademii Nau\ SSSR (N.S.) 101, 13-16. Russian. Review: MR (1955) 1035. Ν Kamat, A. R. (1956), "A two-sample distribution-free test," Biometrica 43, 377-385. Reviews: MR (1957) 774, Math. Tables Aids Comput. (1958) 82. Users: Barton (1956), F. N. David (1956), Sawrey (1958), Ansari and Bradley (1960), Haga (1960), Siegel and Tukey (I960), Sollberger (1960), Β. V. Sukhatme (1960), S. Sukhatme (1960). Note: Addendum by D. E. Barton, Ibid. (1956) 386-387. GNP Kanellos, S. G. (1948), "Two problems of calculus of probability," Bulletin de la Société Mathématique de Grece 23, 132-142. Greek; English summary. Review: MR (1948) 518. Note: Not seen. Ν Kanellos, S. G. (1952), "On a conditional distribution," Bulletin de la Société Mathématique de Grèce 26, 24-28. Greek; English summary. Review: MR (1953) 566. Note: Not seen. IN Kaplan, E. L., and Paul Meier (1958), "Nonparametric estimation from incomplete observations," /. Amer. Statist. Assoc. 53, 457-481. Reviews: 137

KAPLANSKY MR (1959) 387, QCAS (1959) 665. Users: Elveback (1958), Armitage (1959). G Kaplansky, Irving (1945a), "The asymptotic distribution of runs of consecutive elements," Ann. Math. Statist. 16, 200-203. Review: MR (1946) 208. User: Katz (1952). NP Kaplansky, Irving (1945b), "A common error concerning kurtosis," /. Amer. Statist. Assoc. 40, 259. Review: MR (1946) 20. Users: Chakrabarti (1947), Z. W. Birnbaum (1948), Quandt (1959). X Kaplansky, Irving, and John Riordan (1945), "Multiple matching and runs by the symbolic method," Ann. Math. Statist. 16, 272-277. Review: MR (1946) 309. Users: Kaplansky and Riordan (1946), Β. V. Sukhatme (1951), Krishna Iyer (1954), Barton (1958), Joseph and Bizley (1960). Ν Kaplansky, Irving, and John Riordan (1946), "The problem of the rooks and its applications," Du\e Mathematical Journal 13, 259-268. Review: MR (1946) 508. Ν Karlin, Samuel (1957), "Pólya type distributions, II," Ann. Math. Statist. 28, 281-308. Note: Part I, Sec. 4 on peakedness. X Karlin, Samuel, and Donald Truax (1960), "Slippage problems," Ann. Math. Statist. 31, 296-323. Note: See Sec. 10. Also as 1959 Stanford Technical Report No. 28. BG Karon, B. P., and I. E. Alexander (1958), "A modification of Kendall's Tau for measuring association in contingency tables," Psychometri\a 23, 379-383. Review: IJA (1961) 332. ΗJ Kastenbaum, Marvin A. (1960), "A note on the additive partitioning of chi-square in contingency tables," Biometrics 16, 416-422. Review: IJA (1961) 333. Η Kastenbaum, Marvin Α., and Donald E. Lamphiear (1959), "Calculation of chi-square to test the no three-factor interaction hypothesis," Biometrics 15, 107-115. Review: IJA (1959) 244. HO Katona, L. (1957), "Federal reserve board committee reports on consumer expectations and savings statistics," Review of Economics and Statistics 39, 40-54. Note: Comparative studies for F test under non-normal case. O Katz, Leo (1952), "The distribution of the number of isolates in a social group," Ann. Math. Statist. 23, 271-276. Review: MR (1952) 59. NP Katz, Leo (1953), "Confidence intervals for the number showing a certain characteristic in a population when sampling is without replacement," /. Amer. Statist. Assoc. 48, 256-261. User: Wise (1954). GN Katz, Leo, and Allen D. Calvin (1955), On an Apparent Anomaly in the Signed Ran\ Test for Paired Comparisons, Department of Statistics, Michigan State University (RM-16 LK-12/ADC-1), 4. G 138

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Katz, Leo, and James H. Powell (1953), "A proposed index of the conformity of one sociometric measurement to another," Psychometri^a 18, 249-256. HO Kawata, Tatsuo (1951), "Limit distributions of single order statistics," Reports of Statistical Application Research. Union of Japanese Scientists and Engineers 1, 4-9. Review: MR (1952) 142. LN Kazami, Akiko (1954), "(u2-test in stationary stochastic process," Proceedings of the Institute of Statistical Mathematics 2, 43-47. Japanese; English abstract. EN Keen, Joan, and Denys J. Page (1953), "Estimating variability from the differences between successive readings (with appendix by Herman O. Hartley: Some theoretical aspects)," Applied Statistics 2, 13-23. LO Keeping, E. S. (1952), "The problem of birth ranks," Biometrics 8, 112119. IN OP Kelleher, Roger T . (1956), "Discrimination learning as a function of reversal and non-reversal shifts," Journal of Experimental Psychology 51, 379-384. O Kemperman, J. H. B. (1950), The Distribution Function of the Number of Inversions in Mann and Whitney's Test, mimeographed Report T . W . 7, Mathematical Center, Amsterdam. Users: Stoker (1954, 1955), Vaart (1956, 1958). Note: Not seen. GN Kemperman, J. H. B. (1956), "Generalized tolerance limits," Ann. Math. Statist. 27, 180-186. Review: MR (1956) 871. Users: Saunders (1956), Savage (1958), Wilks (1959), Saunders (1960). D Kemperman, J. H. B. (1957), "Some exact formulae for the KolmogorovSmirnov distributions," Proceedings Konin\lij\e Nederlandse Akademie van Wetenschappen (A) 60 (Indagationes Mathematicae 19), 535-540. Review: MR (1959) 2779. User: Kuiper (1960a). EFN Kemperman, J. H. B. (1959), "Asymptotic expansions for the Smirnov test and for the range of cumulative sums," Ann. Math. Statist. 30, 448462. Reviews: I]A (1960) 625, MR (1960) 320. Users: Kuiper (1960a), Joffe and Klotz (1961). Note: See Sec. 4. FN Kempthorne, Oscar (1952), The Design and Analysis of Experiments, Wiley, New York, xix, 631. Reviews: MR (1952) 572, /. Amer. Statist. Assoc. (1955) 974. Users: R. A. Bradley (1955c), Cox (1955), Wilk (1955), Wilk and Kempthorne (1955), Mandel and Linnig (1956), Scheffé (1956), Siegel (1957), Linhart (1958), Lehmann (1959), Schefïé (1959), Adler and Roessler (1960), Billingsley (1961a). Note: Chapters 7 and 8 stress permutation tests. G Kempthorne, Oscar (1955), "The randomization theory of experimental inference," /. Amer. Statist. Assoc. 50, 946-967. Errata: Ibid. (1956) 651. Reviews: MR (1956) 170, IJA-I (1957) 1091. Users: Wilk (1955), Wilk 139

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and Kempthorne (1955), Scheffé (1956), Siegel (1957), Scheffé (1959). BG Kendall, Maurice G. (1938), "A new measure of rank correlation," Biometrica 30, 81-93. Users: Kendall, Kendall, and Smith (1939), Kendall and Smith (1939c, 1940), Wallis and Moore (1941a), Kendall (1942b), Schwartz and Fox (1942), Rosander (1942), Schefïé (1943b), Daniels (1944), Kendall (1945), Mann (1945a), Chambers (1946), Hoefïding (1947), Kendall (1947), Loevinger (1947), Sillitto (1947), Whitfield (1947), Hoefïding (1948a, 1948b), Kendall (1948), Moran (1948a), Schutzenberger (1948a), Wilks (1948), P. O. Johnson (1949), Mosteller and Tukey (1949a), Blomqvist (1950), Walter (1951), Hemelrijk (1952c), Terpstra (1952a), Tintner (1952), Amato (1953), Kendall and Sundrum (1953), Sundrum (1953b), Terpstra (1953), Amato (1954, 1954a), Dantzig and Hemelrijk (1954), Muhsam (1954), Pike (1954), Amato (1955, 1956), Terpstra (1956), Kruskal (1958). JNP Kendall, Maurice G. (1940), "Note on the distribution of quantiles for large samples," /. Roy. Statist. Soc. ( Β ) 7, 83-85. Review: MR (1941) 23. LN Kendall, Maurice G. (1942a), "Note on the estimation of a ranking," /. Roy. Statist. Soc. (A) 105, 119-121. Review: MR (1943) 107. Users: Scheffé (1943b), Kendall (1945). MN Kendall, Maurice G. (1942b), "Partial rank correlation," Biometrica 32, 277-283. Review: MR (1943) 22. Users: Chambers (1946), Sillitto (1947), Kendall (1948), Hoefïding (1948a), P. O. Johnson (1949), Moran (1950a, 1951b), Goodman (1959a). JN Kendall, Maurice G. (1945), "The treatment of ties in ranking problems," Biometri\a 33,239-251. Review: MR (1947) 41. Users: Chambers (1946), Kendall (1947), Sillitto (1947), Whitfield (1947), Mosteller and Tukey (1949a), Moran (1950a), Amato (1954), Muhsam (1954), Eiteren (1957). IN Kendall, Maurice G. (1947), "The variance of τ when both rankings contain ties," Biometrica 34, 297-298. Review: MR (1948) 453. Users: Moran (1950a), Walter (1951), Amato (1954), Dantzig and Hemelrijk (1954), Kruskal (1957). JN Kendall, Maurice G. (1948), Advanced Theory of Statistics, Griffin, London, xii, 457 (Vol. I), vii, 521 (Vol. II). Reviews: MR (1945) 89-91, MR (1947) 473, Review of Economics and Statistics (1950) 139. Users: 154 users have been recorded. Note: See Vol. I, Chs. 12, 13, and 16. Extensive bibliography in Vol. II. First edition of Vol. I in 1943 and first edition of Vol. II in 1946. A Kendall, Maurice G. (1949), "Rank and product-moment correlation," Biometrica 36, 177-193. Review: MR (1950) 673. Users: Moran (1950a), 140

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David, Kendall, and Stuart (1951), Gayen (1951), Moran (1951b), Sundrum (1953b), Goodman and Kruskal (1954), Muhsam (1954), Fieller, etal. (1957). JN Kendall, Maurice G. (1954), Some Recent Developments in Ranging Methods, Mimeograph Series No. 112, Institute of Statistics, University of North Carolina, 30. Note: Not seen. Survey with extensive bibliography. AJ Kendall, Maurice G. (1955a), "Further contributions to the theory of paired comparisons," Biometrics 11, 43-62. Reviews: /. Amer. Statist. Assoc. (1956) 531, MR (1956) 758. Users: Bliss, Greenwood, and White (1956), Bose (1956), Eiteren and Peype (1956), Moses (1956), Seely and Burt (1956), Jackson and Fleckenstein (1957), Lehmann (1957), Pendergrass and Bradley (1957), Wilkinson (1957), Brunk (1958), Block and Marshak (1959), H. A. David (1959), Glenn (1959), Bliss (I960), Brunk (1960a), Glenn (1960). A Kendall, Maurice G. (1955b), Ran\ Correlation Methods, 2nd ed., Griffin, London; Hafner, New York, vii, 196. Reviews: Biometrica (1950) 90, British Journal of Statistical Psychology (1950) 67, Annals of Eugenics (1955) 361, /. Roy. Statist. Soc. (A) (1956) 90, Biometrica (1957) 298, British Journal of Statistical Psychology (1957) 68, Econometrica (1957) 181. Users—-Class O (Applications): Whitfield (1950a), Moses (1952), Tintner (1952), Katz and Powell (1953), Munday and McKiver (1953), Snedecor (1953), Bendig (1954), Hemelrijk (1954), Bock (1956), Gulliksen (1956), J. V. Bradley (1957), Cartwright (1957), Fager (1957), Hume (1957), Nimeroff (1957), Robinson (1957), Mansfield and Wein (1958), Mosteller (1958), Salzinger and Pisoni (1958), Thrall, et al. (1958), Quandi (1959), Starks and David (1959), Newcomb (1961). Users—Other classes: Moran (1948b), Kendall (1949), McNemar (1949), Whitfield (1949), Daniels (1950), Moran (1950a), Silverstone (1950), Chown and Moran (1951), David, Kendall, and Stuart (1951), Durbin (1951), Ehrenberg (1951), Moran (1951b), Salvemini (1951), Stuart (1951), Theil (1951), Ehrenberg (1952), Hammersley (1952), Heiden (1952), Hemelrijk (1952c), Kruskal and Wallis (1952), Lyerly (1952), Quenouille (1952), Rijkoort (1952), Terpstra (1952a), Tippett (1952), Amato (1953), Benard and Elteren (1953), Cronbach and Gleser (1953), Eeden (1953a), Kaarsemaker and Wijngaarden (1953), Morris and Burt (1953), Moses (1953), Rijkoort and Wise (1953), K. Smith (1953), Stuart (1953), Sundrum (1953b), Terpstra (1953), Whitfield (1953), Amato (1954, 1954a), Calvin (1954), Jonckheere (1954a, 1954b), Lubin (1954), Muhsam (1954), Stoker (1954), Stuart (1954b), Whitfield (1954), Amato (1955), Armitage (1955), Dantzig (1955), Haber141

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man (1955), Jones (1955), J. R. Rosenblatt (1955), Stoker (1955), Willerman (1955), Amato (1956), Bradley and Kramer (1956), Cureton (1956), Eeden (1956a), Eiteren and Peype (1956), Féron (1956), Guilford (1956), A. Kramer (1956a), Romani (1956), Schaeffer and Levitt (1956), Smid (1956), Terpstra (1956), L. Adler (1957), Cartwright (1957a), Dixon and Massey (1957), Eiteren (1957), Hemelrijk (1957), Jackson and Fleckenstein (1957), Μ. Β. Jones (1957), Lubin (1957), Mallows (1957), McCarthy (1957), Tate and Clelland (1957), Waerden (1957), Daniels and Kendall (1958), Doornbos and Prins (1958), H. D. Griffin (1958), Jardins (1958), Kruskal (1958—review of Tate and Clelland (1957)), R. L. Anderson (1959), Diamond (1959), Eeden and Korswagen (1959), Goodman (1959, 1959a), Lehmann (1959), Somers (1959), Adler and Roessler (1960), Bahadur (1960), E. J. Burr (1960), Freund (1960), Hays (1960), Hoefïding (1960), Hudimoto (1960), Ura (1960b), Goodman and Grunfeld (1961), Turk (1961). Note: Extensive bibliography. First edition 1948. A]P Kendall, Maurice G., and William R. Buckland (1957), A Dictionary of Statistical Terms, Oliver and Boyd, London, ix, 493. Reviews: J. Roy. Statist. Soc. (A) (1957) 358, Biometrica (1958) 283. X Kendall, Maurice G., Sheila F. H. Kendall, and B. Babington Smith (1939), "The distribution of Spearman's coefficient of rank correlation in a universe in which all rankings occur an equal number of times," Biometrica 30, 251-273. Users: Kendall and Smith (1939), Wallis and Moore (1941a), Schwartz and Fox (1942), Schefíé (1943b), Thornton (1943), Daniels (1944), Hoefïding (1948a), Kendall (1948), Olds (1949), David, Kendall, and Stuart (1951), Moran (1951b), Salvemini (1951), Walter (1951), Lyerly (1952). JNP Kendall, Maurice G., and B. Babington Smith (1938), "Randomness and random sampling numbers," J. Roy. Statist. Soc. (A) 101, 147-166. Users: Yule (1938), Kendall, Kendall, and Smith (1939), Kendall and Smith (1939b), Dodd (1942), Cramer (1946), Tillman, et al. (1948), Gruenberger (1950), Bartlett (1951), Gruenberger and Mark (1951), Good (1953), Schelling (1954), Bofinger and Bofinger (1958), Senechal and Lemay (1958), Thomson (1959), Billingsley (1961). IO Kendall, Maurice G., and B. Babington Smith (1939a), "Tables of random sampling numbers," Tracts for Computers, No. 24, Cambridge University Press, Cambridge, England, x, 60. Users: Cramér (1946), Finney (1947), Anscombe (1948), Kendall (1948), Gruenberger (1950), E. S. Pearson (1950a), M. Thomas (1951), Cole (1954), Bush and Mosteller (1955), Rand Corp. (1955), Palmer (1957). IP Kendall, Maurice G., and B. Babington Smith (1939b), "Second paper on random sampling numbers," /. Roy. Statist. Soc. (B) 6, 51-61. Users: 142

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Cramer (1946), Tillman, et al. (1948), Gruenberger and Mark (1951), Good (1953), Basarin (1957), Billingsley (1961). IO Kendall, Maurice G., and Β. Babington Smith (1939c), "The problem of m rankings," Ann. Math. Statist. 10, 275-287. Review: MR (1940) 23. Users: Friedman (1940), Kendall and Smith (1940), Kendall (1942a), Schwartz and Fox (1942), Bliss, Anderson, and Marland (1943), Scheffé (1943b), Wilks (1943), Kendall (1945), Chambers (1946), Kendall (1948), Wilks (1948), Moran (1950a), Blomqvist (1951), Ehrenberg (1951, 1952), Kruskal and Wallis (1952), Lyerly (1952), Moses (1952, 1953), Rijkoort and Wise (1953), Lubin (1954), Amato (1955), R. A. Bradley (1955b, 1955d), Kendall (1955b), Eiteren (1957), Pendergrass and Bradley (1957, 1959), Wilks (1959), Bradley and Pendergrass (1960). MNP Kendall, Maurice G., and B. Babington Smith (1940), "On the method of paired comparisons," Biometriha 31, 324-345. Review: MR (1941) 111. Users: Kendall (1942b), Chambers (1946), Moran (1947b), Kendall (1948), Moran (1950a), B. B. Smith (1950), Bradley and Terry (1952a), Ehrenberg (1952), Heiden (1952), Terry, Bradley, and Davis (1952), Cusimano (1957), Pendergrass and Bradley (1957), H. A. David (1958b, 1959), Pendergrass and Bradley (1959), Starks and David (1959), Slater (1960). MNP Kendall, Maurice G., and A. Stuart (1958), The Advanced Theory of Statistics: Vol. I—Distribution Theory, Griffin, London, xii, 431. Reviews: Applied Statistics (1959) 61, Biometrica (1959) 491, /. Roy. Statist. Soc. (A) (1959) 99, Revue de l'Institut International de Statistique (1959) 71. A Kendall, Maurice G., and R. M. Sundrum (1953), "Distribution-free methods and order properties," Revue de l'Institut International de Statistique 21, 124-134. Review: MR (1955) 498. Users: Dantzig and Hemelrijk (1954), Lehmann (1959), Schmetterer (1959). A Kendler, Howard H., and May F. D'Amato (1955), " A comparison of reversal shifts and non-reversal shifts in human concept behavior," Journal of Experimental Psychology 49, 165-174. Users: Kendler and Mayzner (1956), Wohlwill (1957). O Kendler, Howard H., and S. Levine (1951), "Studies of the effect of change of drive: I. From hunger to thirst in a T-maze," Journal of Experimental Psychology 41, 429-436. User: Grice and Davis (1957). O Kendler, Howard H., and Mark S. Mayzner, Jr. (1956), "Reversal and nonreversal shifts in card-sorting tests with two of four sorting categories," Journal of Experimental Psychology 51, 244-248. O Kendler, Howard H., and Robert Vineberg (1954), "The acquisition of compound concepts as a function of previous training," Journal of 143

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Experimental Psychology 48, 252-258. User: Kendler and D'Amato (1955). O Kendrick, J. W. (1956), "Productivity trends: capital and labor," Review of Economics and Statistics 38, 248-257. Note: Rank correlation. 0 Kerawala, S. M. (1948), "On bounds of skewness and kurtosis," Bulletin of the Calcutta Mathematical Society 40, 41-44. Review: MR (1949) 134. X Kermack, W. O., and A. G. McKendrick (1937a), "Tests for randomness in a series of numerical observations," Proceedings of the Royal Society of Edinburgh 57, 228-240. Users: Kermack and McKendrick (1937b), Wallis and Moore (1941a), Campbell (1942), C. C. Craig (1942), Dodd (1942), Schefíé (1943b), Wolfowitz (1943), Levene and Wolfowitz (1944), Gleissberg (1947), Kendall (1948), Krishna Iyer (1949a), Janko (1950), Krishna Iyer (1950b), Grant (1952), Krishna Iyer (1952a, 1953), Krishna Iyer and Rao ( 1953 ). INO Kermack, W. O., and A. G. McKendrick (1937b), "Some distributions associated with a randomly arranged set of numbers," Proceedings of the Royal Society of Edinburgh 57, 332-376. Users: Wallis and Moore (1951a), Campbell (1942), C. C. Craig (1942), Wolfowitz (1943), Levene and Wolfowitz (1944), Kendall (1948), Krishna Iyer (1949a, 1950b, 1952a, 1953). IN Kermack, W. O., and A. G. McKendrick (1938), "Some properties of points arranged at random on a Möbius surface," Mathematical Gazette 22, 66-72. User: C. C. Craig (1942). Ν Kermack, W. O., and A. G. McKendrick (1940), "The design and interpretation of experiments based on a four-fold table: The statistical assessment of the effect of treatment," Proceedings of the Royal Society of Edinburgh 60, 362-375. Review: MR (1941) 236. User: Mainland (1952). Η Kesten, Η., and J. Th. Runnenburg (1956), "Some remarks concerning the calculation of the expectation and the standard deviation of the number of inconsistencies in a fixed rank correlation scheme," Statistica Neerlandica 10, 197-204. Dutch; English summary. Review: MR (1958) 187. User: Eiteren and Peype (1956). GJN Khamis, Salem H. (1950), "A note on the general Chebychefï inequality," Proceedings of the International Congress of Mathematicians 1, American Mathematical Society, Providence, Rhode Island, 569-570. C Khamis, Salem H. (1954), "On the reduced moment problem," Ann. Math. Statist. 25, 113-122. Abstract: Ann. Math. Statist. (1952) 642. Review: MR (1954) 608. Users: Godwin (1955), Rustagi (1957). C Kidd, J. S., and Donald T . Campbell (1955), "Conformity to groups as 144

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a function of group success," Journal of Abnormal and Social Psychology 51,390-393. O Kiefer, J., "Distance tests with good power for the nonparametric ^-sample problem." Abstract: Ann. Math. Statist. (1955) 775. Users: H. T . David (1958), Kiefer (1959), Dwass (1960b). F Kiefer, }. (1959), "/¿-sample analogues of the Kolmogorov-Smirnov and Cramér-v. Mises tests," Ann. Math. Statist. 30, 420-447. Abstract: Ann. Math. Statist. (1958) 614. Reviews: I]A (1959) 230, MR (1960) 320. Users: Lehmann (1959a), Fisz (1960), Quandt (1960). FN Ρ Kiefer, J., "Large deviations of the empiric d. f. of vector chance variables." Abstract: Notices of the American Mathematical Society (1960) 475. EN Kiefer, J., and J. Wolfowitz (1956), "Consistency of the maximum likelihood estimator in the presence of infinitely many incidental parameters," Ann. Math. Statist. 27, 887-906. Review: MR (1958) 189. User: Madansky (1959). Note: See p. 889 (top) for orientation. EG Kiefer, }., and J. Wolfowitz (1958), "On the deviations of the empiric distribution function of vector chance variables," Transactions of the American Mathematical Society 87, 173-186. Abstract: Bull. Amer. Math. Soc. (1957) 18. Review: MR (1959) 915. Users: Hoefïding and Wolfowitz (1958), Kiefer (1959), Kiefer and Wolfowitz (1959). E Kiefer, J., and J. Wolfowitz (1959), "Asymptotic minimax character of the sample distribution function for vector chance variables," Ann. Math. Statist. 30, 463-489. Abstract: Ann. Math. Statist. (1958) 937. Review: MR (1960) 1240. BE Kimball, A. W. (1954), "Short-cut formulas for the exact partition of χ 2 in contingency tables," Biometrics 10, 452-458. Errata: Ibid. (1955) 334. Abstract: /. Amer. Statist. Assoc. (1955) 585. Reviews: /. Amer. Statist. Assoc. (1955) 971, MR (1955) 497. Users: Cochran (1954), Batson (1956), Moses (1956), Corsten (1957), Kastenbaum (1960). HO Kimball, Bradford F. (1946), "Assignment of frequencies to a completely ordered set of sample data," Transactions of the American Geophysical Union 27, 843-846. Users: Gumbel (1954a), Oliveira (1955), Lieblein and Salzer (1957), Oliveira (1957), Geffroy (1959), Kimball (1960). L Kimball, Bradford F. (1947), "Some basic theorems for developing tests of fit for the case of the non-parametric probability distribution function, I," Ann. Math. Statist. 18, 540-548. Review: MR (1948) 225. Users: B. Kimball (1950), Sherman (1950), Z. W. Birnbaum (1953a), Darling (1953), Bell (1954), Weiss (1956, 1957b), Ishii (1958), Weiss (1958). EN 145

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Kimball, Bradford F. (1950), "On the asymptotic distribution of the sum of powers of unit frequency differences," Ann. Math. Statist. 21, 263— 271. Review: MR (1950) 673. Ν Kimball, Bradford F. (1960), "On the choice of plotting positions on probability paper," J. Amer. Statist. Assoc. 55, 546-559. L Kimble, G. A. (1951), "Behavior strength as a function of the intensity of the hunger drive," Journal of Experimental Psychology 41, 341-348. Note: Sign test. O Kimura, Hitosi (1951), "On a distribution-free test of correlation coefficient," Bulletin of the Japan Statistical Society, 48-49. Japanese. Note: Not seen. / King, John A. (1957), "Intra- and interspecific conflict of Mus and peromyscus," Ecology 38, 355-357. Note: Wilcoxon test. O Kipnis, David (1958), "The effects of leadership style and leadership power upon the inducement of an attitude change," Journal of Abnormal and Social Psychology 57, 173-180. User: Wilson (1956). O Kirkpatrick, M. E., J. C. Lamb, Ε. H. Dawson, and J. N. Eisen (1957), "Selection of a taste panel for evaluating the quality of processed milk," Food Technology 11, 3-8. Note: Ranked paired comparison. 0 Kish, George Bela (1955), "Avoidance learning to the onset and cessation of conditioned stimulus energy," Journal of Experimental Psychology 50, 31-38. O Kitabatake, S. (1958-59), "A remark on a non-parametric test," Mathematica Japonicae 5, 45-49. User: Ishii (1960). G Kitagawa, Tosio (1952), Tables of Poisson Distribution, Baifukan, Tokyo, xii, 156. Errata: Math. Tables Aids Comput. (1959) 141. Reviews: Math. Tables Aids Comput. (1953) 92, /. Amer. Statist. Assoc. (1954) 200. User: Siotani (1956). Ρ Kitagawa, Tosio, and Tsunetami Seguchi (1956a), "The combined use of runs in statistical quality controls, I and II," Bulletin of Mathematical Statistics 7, 25-45, 53-72. Review: Math. Tables Aids Comput. (1958) 291. User: Toda (1958). NOP Kiveliovitch, M. (1958), "Series chronologiques. Quelques nouveaux tests quantitatifs," Journal Scientifique de la Météorologie 10, 115-120. English and Spanish summaries. Review: MR (1960) 1234. Note: Not seen. I Kiveliovitch, M., and J. Vialar (1953), "Étude statistique des séries chronologiques," Journal Scientifique de la Météorologie 5, 75-87, 89101, 129-143, 241-246. English and Spanish summaries. Review: MR (1955) 941. User: Weiller (1955). INΡ Kiveliovitch, M., and J. Vialar (1954), "Étude statistique des séries chronologiques," Journal Scientifique de la Météorlogie 6, 1-16. English and Spanish summaries. Review: MR (1955) 941. I 146

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Kiveliovitch, M., and J. Vialar (1954-55), "Quelques nouveaux tests pour l'étude des séries chronologiques," Journal Scientifique de la Météorologie 6, 73-83, 151-166, 7, 259-271. English and Spanish summaries. Reviews: MR (1955) 942, MR (1956) 1102, 1221. IN Kiveliovitch, M., and J. Vialar (1957), Les Séries Chronologiques et la Théorie du Hasard, Notes Techniques No. 65, Publications Scientifiques et Techniques du Ministère de l'Air. Paris, xii, 129. Review: MR (1958) 897. User: Kiveliovitch (1958). I Klein, George S., Donald P. Spence, Robert R. Holt, and Susannah Gourevitch (1958), "Cognition without awareness: subliminal influences upon conscious thought," Journal of Abnormal and Social Psychology 57, 255— 266. Note: Spearman's p. O Klein, H. (1954), "Confidence limits for cumulative frequency distributions," Mitteilungsblatt für Mathematische Statisti\ 6, 140-163. German. Review: IfA-I (1956) 770. Note: Not seen. E Klerk-Grobben, Gerda, and H. }. Prins (1954), "A test for comparing two small unknown probabilities, using samples of equal size, and its power," Statistica Neerlandica 8, 7-20. Dutch; English summary. GΡ Klose, Orval M. (1956), Topics in Distribution-Free Statistics, thesis at University of Washington, 105. User: Birnbaum and Klose (1957). Note: Not seen. EG Klotz, Jerome (1959), "Null distribution of the Hodges bivariate sign test," Ann. Math. Statist. 30, 1029-1033. Review: OCAS (1960) 1045. User: Hill (1960). GP Klotz, Jerome, "Two sample nonparametric tests for scale parameter." Abstract: Ann. Math. Statist. (1960) 817. User: Siegel and Tukey (1960). G Knowles, William B., William D. Garvey, and Edward P. Newlin (1953), "The effect of speed and load on display-control relationships," journal of Experimental Psychology 46, 65-75. User: Garvey and Knowles (1954). 0 Kolmogorov, Andrei N. (1928), "Über die Summen durch den Zufall bestimmter unabhängiger Grössen," Mathematische Annalen 99, 309319. Users: Kolmogorov (1929), Levy (1937), Feller (1945), Loève (1945), A. Rosenblatt (1945), Kac and Siegert (1947), Chung (1948), Haimos (1950), Loève (1950), Doob (1953), Gnedenko and Kolmogorov (1954), Godwin (1955), Hájek and Rényi (1955), Chow (1960). C Kolmorogov, Andrei N. (1929), "Bemerkungen zu meiner Arbeit 'Über die Summen zufälliger Grössen,' " Mathematische Annalen 102, 484488. Users: Feller (1945), A. Rosenblatt (1945), Feller (1950), Haimos (1950), Loève (1950), Doob (1953), Gnedenko and Kolmogorov (1954), Godwin (1955). C Kolmogorov, Andrei N. (1931), "Eine Verallgemeinerung des Laplace147

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Liapounofïschen Satzes," Izvestìya A\ademii Nau\ SSSR. Otdelenie Matematiches\ih i Estestvennih Nau\ Ί, 959-962. Users: Kolmogorov (1933b), Schmid (1958). Ν Kolmogorov, Andrei N. (1933a), "Über die Grenzwertsätze der Wahrscheinlichkeitsrechnung," Bulletin de l'Académie des Sciences de l'URSS 7 (3), 363-372. Users: Smirnov (1944), Cramer (1946), Feller (1948), Gihman (1952a), Juvancz and Lipták (1952), Gnedenko and Kolmogorov (1954), Klose (1956), Schmid (1958), Carvalho (1959). Note: Not seen. C Kolmogorov, Andrei N. (1933b), "Sulla determinazione empirica di una legge di distribuzione," Giornale dell'Istituto Italiano degli Attuari 4, 83-91. Users—Class Ρ (Tables): Massey (1950b), Kunisawa, Makabe, and Morimura (1951), Massey (1951a), Anderson and Darling (1952), Ζ. W. Birnbaum (1952), Juvancz and Lipták (1952), Rényi (1953a), Waerden (1953b), Kac, Kiefer, and Wolfowitz (1955), Waerden (1957), Kiefer (1959). Users—Other classes: Smirnov (1937, 1939a), Wald and Wolfowitz (1941), Scheffé (1943a, 1943b), Smirnov (1944), Feller (1948), Kendall (1948), Wilks (1948), Chung (1949), Doob (1949), Kac (1949), Maniya (1949), Wolfowitz (1949), Ζ. W. Birnbaum (1950), Hemelrijk (1950b), Walter (1951), Donsker (1952), Gihman (1952a), Whidden (1952), Z. W. Birnbaum (1953a), Gihman (1953, 1953b), Maniya (1953), Hajos and Rényi (1954), Gnedenko (1954), Korolyuk (1954), Malmquist (1954), Stoller (1954), Munter (1955), Bartholomew (1956a), Blackman (1956), Óentsov (1956), Chang (1956a), Dvoretzky, Kiefer, and Wolfowitz (1956), Chang and Fisz (1957a, 1957b), Fisz (1957), Vincze (1957), Fisz (1958), Kiefer and Wolfowitz (1958), Sanov (1958), Schmid (1958), Carvalho (1959), Ishii (1959), Quade (1959), Wilks (1959), Epstein (1960), Fisz (1960). EN Kolmogorov, Andrei N. (1941), "Confidence limits for an unknown distribution function," Ann. Math. Statist. 12, 461-463. Review: MR (1943) 25. Users: Scheffé (1943a, 1943b), Feller (1948), Kendall (1948), Wilks (1948), Noether (1949b), Azorin and Wold (1950), Hemelrijk (1950), Janko (1950), Cochran (1952), Rényi (1953a), Goodman (1954b), Blackman (1955), Savage (1956), Basmann (1960). EFNP Kolmogorov, Andrei N. (1950), Foundations of the Theory of Probability, Chelsea, New York, viii, 71. Users: 24 users have been recorded. Note: See pp. 42-43. Translation by Nathan Morrison. First edition 1933. C Kolmogorov, Andrei N., and A. Ya. Hinein (1951), "The work of Ν. V. Smirnov on the investigation of properties of variational series and on nonparametric problems of mathematical statistics," Uspehi Matematices148

KOROLYUK \ih Nau\ (N.S.) 6, 190-192. Russian. Review: MR (1952) 198. A Kondo, T a k a y u k i (1954), "Evaluation of some ω η 2 distributions," Journal of the Ga\ugei College, To\ushima University (Natural Science) 4, 4 5 47. Review: MR (1954) 885. Note: N o t seen. EP Kondo, T s u t o m u (1929), " O n the standard error of the mean square contingency," Biometrica 21, 376-428. User: Treloar ( 1 9 4 2 ) . Η Konijn, H . S. (1956), " O n the power of certain tests for independence in bivariate populations," Ann. Math. Statist. 27, 300-323. Errata: Ibid (1958) 935. Abstract: Bull. Amer. Math. Soc. (1955) 176. Review: MR (1957) 78. Users: Konijn (1957), Noether (1958), Konijn (1959), Farlie (I960). / Konijn, H . S. (1957), " S o m e nonparametric tests for treatment effects in paired replications," Journal of the Indian Society of Agricultural Statistics 9, 145-167. Reviews: QCAS (1959) 1141, If A (1960) 414, MR (1960) 582. ABG Konijn, H . S. (1958), " S o m e hows and whys of distribution-free statistical methods," Bulletin of the Statistical Society of New South Wales, No. 22, 7-17. A Konijn, H . S. (1959), "Positive and negative dependence of two random variables," San\hyä 21, 269-280. Reviews: IfA (1960) 415, MR (1961) 533. User: Sibuya ( 1 9 6 0 ) . / Kono, K a z u m a s a (1950), " N o t e on the use of order statistics," Bulletin of Mathematical Statistics 4, 33-35. Review: MR (1953) 190. Note: N o t seen. L Kono, K a z u m a s a (1952), " O n inefficient statistics for measurement of dependency of normal bivariates," Memoirs of the Faculty of Science, Kyüsü University (A) 7, 1-12. Review: MR (1953) 1102. / Kooij, R. (1953), " A u g m e n t o r effect of Hypophysis-extract and adrenalextract (cortine) on the preputial glands of rats," Archives Internationales de Pharmaco-Dynamie 94, 475-482. Note: Two-sample Wilcoxon. O Kornfel'd, M. (1955), " O n the theory of errors," Ookjady Akademii Nau\ SSSR 103, 213-214. Russian. Review: MR (1956) 52. G Korolyuk, V. S. (1954), "Asymptotic expansions for A. N . Kolmogorov's and N . V. Smirnov's criteria," Do\lady Akademii Nau\ SSSR (N.S.) 95, 443-446. Russian. Review: MR (1955) 382. EFN Korolyuk, V. S. (1955), " O n the discrepancy of empiric distributions for the case of two independent samples," Izvestiya Akademii Nau\ SSSR. Seriya Matematices\aya 19, 81-96. Review: MR (1955) 727. Users: Blackman (1956, errata 1958), Chang and F i s z (1957b), Kemperman (1957), Ishii (1959). FN Korolyuk, V. S., and B. I. Yarosevs'kiï (1951), "Study of the m a x i m u m discrepancy of two empirical distributions," Dopovidi A\ademii Nau\ 149

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U\rdins'\oì Radyans'kpi Socialisticnoi Respubli\i, 243-247. Review: MR (1954) 808. User: Gnedenko (1954). Note: Not seen. FN Kozelka, R. M. (1956), "Approximate upper percentage points for extreme values in mutinomial sampling," Ann. Math. Statist. 27, 507-512. Reviews: QCAS (1956) 681, Math. Tables Aids Comput. (1958) 293. User: Johnson and Young (I960). NP Krafft, M. (1937), "Zwei Sätze aus Gauss' Theoria combinationis observationum," Deutsche Mathematik 2, 624-630. Ν Kramer, A. (1956a), "A quick, rank test for significance of differences in multiple comparisons," Food Technology 10, 391-392. Errata: Ibid. (1957) 412, prepared by Bradley and Kramer. G Kramer, Clyde Young (1955), "A method of choosing judges for a sensory experiment," Food Research 20, 492^96. Review: IJA-I (1956) 993. Users: Bradley and Kramer (1956), C. Y. Kramer (1956). Ρ Kramer, Clyde Young (1956), "Notes and letters: Additional tables for a method of choosing judges for a sensory experiment," Food Research 21, 598-600. Review: IJA-I (1958) 1415. User: Bradley and Kramer (1956). Ρ Kramer, G., J. G. Pratt, and U. von St. Paul (1956), "Directional differences in pigeon homing," Science 123, 329-330. Note: Application of χ 2 . O Krause, C. C., and H. Smith, Jr., "Some uses of χ 2 in market research with extensions to multi-dimensional tables." Abstract: Biometrics (1959) 337. HO Kretschner, Ann Kinney (1955), Anderson's W-test for Small Samples, master's thesis, Stanford University. Note: Not seen. E Krishna Iyer, P. V. (1947), "Random association of points on a lattice," Nature 160, 714. Review: MR (1948) 193. Users: Krishna Iyer (1948b, 1953), Krishna Iyer and Rao (1953), Krishna Iyer (1955), Bloemena (1960). Ν Krishna Iyer, P. V. (1948a), "The theory of probability distributions of points on a line," Journal of the Indian Society of Agricultural Statistics 1, 173-195. Review: MR (1950) 446. Users: Krishna Iyer and Sukhatme (1949), Sukhatme (1949a), Krishna Iyer (1949-50, 1950a, 1951a), Sukhatme (1951), Krishna Iyer (1952a), Kruskal and Wallis (1952), Ramachandran (1952), Singh (1952), Krishna Iyer (1953), Krishna Iyer and Rao (1953), Krishna Iyer (1954), Krishna Iyer and Singh (1955), Krishna Iyer (1958), Bloemena (1960). Ν Krishna Iyer, P. V. (1948b), "Random association of points on a lattice," Nature 162, 333. Users: Krishna Iyer (1949a, 1949b), Β. V. Sukhatme (1949b), Krishna Iyer (1953), Krishna Iyer and Rao (1953), Krishna Iyer (1955). IN Krishna Iyer, P. V. (1949a), "Calculation of factorial moments of certain 150

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probability distributions," Nature 164, 282. Users: Β. V. Sukhatme (1949b), Krishna Iyer (1949-50, 1950b), Singh (1952). Ν Krishna Iyer, P. V. (1949b), "The first and second moments of some probability distributions arising from points on a lattice and their applications," Biometrica 36, 135-141. Review: MR (1950) 607. Users: Β. V. Sukhatme (1949a), Freeman (1953), Krishna Iyer (1955), Broadbent (1956), Krishna Iyer (1958), Eeden and Bloemena (1959), Bloemena (1959). Ν Krishna Iyer, P. V. (1949-50), "Further contributions to the theory of probability distributions of points on a line, I," Journal of the Indian Society of Agricultural Statistics 2, 141-160. Review: MR (1951) 271. Users: Krishna Iyer (1951b, 1952a, 1952b), Singh (1952), Krishna Iyer (1954), Bloemena (1960), S. Sukhatme (1960b). Ν Krishna Iyer, P. V. (1950a), "The theory of probability distributions of points on a lattice," Ann. Math. Statist. 21, 198-217. Review: MR (1950) 732. Users: Krishna Iyer (1949b, 1952a, 1952b), Freeman (1953), Krishna Iyer (1953), Krishna Iyer and Rao (1953), Eeden and Bloemena (1959). NP Krishna Iyer, P. V. (1950b), "Runs up and down on a lattice," Nature 166, 276. Review: MR (1951) 841. Ν Krishna Iyer, P. V. (1951), "The use of difference equation in solving distribution problems," Bulletin de l'Institut International de Statistique 23, 97-104. Review: MR (1956) 499. User: Krishna Iyer and Bhattacharyya (1955). Ν Krishna Iyer, P. V. (1951a), "A non-parametric method of testing \ samples," Nature 167, 33. Users: Kruskal and Wallis (1952), Munter (1953b, 1955). F Krishna Iyer, P. V. (1951b), "Further contributions to the theory of probability distributions of points on a line, II," Journal of the Indian Society of Agricultural Statistics 3, 80-93. Review: MR (1952) 142. Users: Krishna Iyer (1952b), Singh (1952), Krishna Iyer and Kapur (1954), Krishna Iyer and Singh (1955), Bloemena (I960). Ν Krishna Iyer, P. V. (1952a), "Further contributions to the theory of probability distributions of points on a line, III," Journal of the Indian Society of Agricultural Statistics 4, 50-71. Review: MR (1953) 297. Users: Krishna Iyer (1952b), Krishna Iyer and Singh (1955), Bloemena (1960). FIN Krishna Iyer, P. V. (1952b), "Factorial moments and cumulants of distributions arising in Markoff chains," Journal of the Indian Society of Agricultural Statistics 4, 113-123. Review: MR (1953) 771. User: Krishna Iyer and Bhattacharyya (1955). Ν Krishna Iyer, P. V. (1954), "Some distributions arising in matching 151

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problems," Journal of the Indian Society of Agricultural Statistics 6, 5-29. Users: Krishna Iyer and Bhattacharyya (1955), Krishna Iyer and Singh (1955), Barton (1958). Ν Krishna Iyer, P. V. (1955), "Random association of points on a lattice," Nature 176, 40. Review: MR (1955) 1034. Ν Krishna Iyer, P. V. (1958), "A theorem on factorial moments and its applications," Ann. Math. Statist. 29, 254-261. Review: MR (1959) 361. IN Krishna Iyer, P. V. (1958a), "A simplified method for evaluating the product cumulants of some distributions arising from a sequence of observations," Journal of the Indian Society of Agricultural Statistics 10, 33-40. Hindi summary. Review: MR (1961) 51. Note: Not seen. Ν Krishna Iyer, P. V., and M. N . Bhattacharyya (1955), "On some statistics comparing two binomial sequences," Journal of the Indian Society of Agricultural Statistics 7, 187-213. GN Krishna Iyer, P. V., and M. N. Kapur (1954), "Probability distributions arising from points on a line," Biometri\a 41, 553-554. Review: MR (1955) 493. Users: Krishna Iyer and Bhattacharyya (1955), Krishna Iyer and Singh (1955), Krishna Iyer and Shakuntala (1959). Ν Krishna Iyer, P. V., and A. S. Praskasa Rao (1953), "Theory of the probability distributions of runs in a sequence of observations," Journal of the Indian Society of Agricultural Statistics 5, 29-77. Review: MR (1955) 377. Ν Krishna Iyer, P. V., and D. Ray (1958), "Low order moments of some distributions arising from two-state Markoff chains," Journal of the Indian Society of Agricultural Statistics 10, 23-32. Hindi summary. Review : MR (1961) 347. Note: Not seen. Ν Krishna Iyer, P. V., and N. S. Shakuntala (1959), "Cumulants of some distributions arising from a two-state Markoff chain," Proceedings of the Cambridge Philosophical Society 55, 273-276. Review: MR (1960) 725. User: Billingsley (1961). Ν Krishna Iyer, P. V., and Β. N . Singh (1955), "On certain probability distributions arising from a sequence of observations and their applications," Journal of the Indian Society of Agricultural Statistics 7, 127168. Review: MR (1958) 188. User: Singh (1958). Gl Krishna Iyer, P. V., and Β. V. Sukhatme (1949), "Probability distribution of points on a line," Science and Culture 15, 200. Review: MR (1952) 475. Ν Kruskal, William H., "An approach to effects of non-normality in tests of significance." Abstract: fonometrica (1951) 344. G Kruskal, William H. (1952), "A nonparametric test for the several sample problems," Ann. Math. Statist. 23, 525-540. Review: MR (1953) 391. 152

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Users: Kruskal and Wallis (1952), Benard and Elteren (1953), Munter (1953b), Rijkoort and Wise (1953), Andrews (1954), Dantzig and Hemelrijk (1954), Silvey (1954), Stoker (1954), Eeden and Hemelrijk (1955), Dantzig (1955), Krishna Iyer and Singh (1955), Munter (1955), Putter (1955b), Stoker (1955), Vaart (1956), Cooper (1957), Lynch and Freund (1957), Brod, Pávková, Fencl, Hejl, and Kratková (1958), Bahadur (1959), Bhapkar (1959), Kiefer (1959), Pfanzagl (1959), Bahadur (1960). GN Kruskal, William H., "The problem of non-normality and nonparametric tests." Abstract: /. Amer. Statist. Assoc. (1954) 329. A Kruskal, William H. (1956), Chi-Square Problems, unpublished mimeographed notes, Department of Statistics, Berkeley, California, Several chapters. Note: Not seen. EFN Kruskal, William H. (1957), "Historical notes on the Wilcoxon unpaired two-sample test," ]. Amer. Statist. Assoc. 52, 356-360. Users: Rumel (1916), Rijkoort (1952), Kruskal (1958), Lehmann (1959), Wetherill (1960). AG Kruskal, William H. (1958), "Ordinal measures of association," J. Amer. Statist. Assoc. 53, 814-861. Reviews: MR (1959) 1207, IJA (I960) 434. Users: Kruskal (1957), Goodman (1957), Goodman and Grunfeld (1961). Note: Extensive bibliography. Af Kruskal, William H., Frederick Mosteller, and I. Richard Savage (1961), "Letters to the editor," Notices of the American Mathematical Society 8, 227. A Kruskal, William H., and W. Allen Wallis (1952), "Use of ranks on onecriterion variance analysis," /. Amer. Statist. Assoc. 47, 583-621. Errata: See Kruskal and Wallis (1953). Review: Math. Tables Aids Comput. (1953) 176. Users—Class 0 (Applications): Bross (1954a), R. G. Johnson (1955), Postman, Adams, and Bohn (1956), Burchinal (1957), Brod, Pávková, Fencl, Hejl, and Kratková (1958), Buchwald (1959), Quandt (1960). Users—Other classes: Kruskal (1952), Kruskal and Wallis (1953), Morris and Burt (1953), Moses (1953), Dantzig and Hemelrijk (1954), Jonckheere (1954b), Lubin (1954), Vaart (1954), Armitage (1955), R. A. Bradley (1955b, 1955d), Chapin (1955), Eeden and Hemelrijk (1955), Krishna Iyer and Singh (1955), Lamke (1955), Putter (1955b), Hodges and Lehmann (1956), Dixon and Massey (1957), Kruskal (1957), Lynch and Freund (1957), Tate and Clelland (1957), Morice (1958), Sawrey (1958), Bhapkar (1959), Diamond (1959), Pendergrass and Bradley (1959), Steel (1959b), Wallace (1959), Bradley and Pendergrass (1960), Ryan (1960), Steel (1960), Wetherill (1960). GP Kruskal, William H., and W. Allen Wallis (1953), "Use of ranks in one153

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criterion variance analysis," /. Amer. Statist. Assoc. 48, 907-911. Users: Natrella (1954), Kruskal (1957, also in a 1958 review of Tate and Clelland (1957)), Wallace (1957, 1959), Quandt (1960). Note: This is addendum to Kruskal and Wallis (1952). GNP Kuiper, Nicolaas H. (1959), "Alternative proof of a theorem of Birnbaum and Pyke," Ann. Math. Statist. 30, 251-252. Reviews: IJA (1959) 198, MR (1960) 68. Users: Kuiper (1960, 1960a). EN Kuiper, Nicolaas H. (I960), "On the random cumulative frequency function," Proceedings Konin\lijke Nederlandse A\ademie van Wetenschappen (A) 63 (Indagationes Mathematicae 22), 32-37. Review: I]A (1960) 385. User: Kuiper (1960a). E Kuiper, Nicolaas H. (1960a), "Tests concerning random points on a circle," Proceedings Konin\lij\e Nederlandse Akademie van Wetenschappen (A) 63 {Indagationes Mathematicae 22), 38^7. Reviews: I]A (1960) 416, MR (1961) 348. E Kuipers, Hilda A. (1957), The Distribution of the Number of Runs in Sequences of Alternatives, Report S219 (Ov 7), Mathematical Center, Amsterdam, 17. Dutch. Ν Kullback, Solomon (1939), "Note on a matching problem," Ann. Math. Statist. 10, 77-80. Users: Battin (1942), Barton (1958). Ν Kullback, Solomon (1959), Information Theory and Statistics, Wiley, New York, xvii, 395. Reviews: /. Amer. Statist. Assoc. (1959) 825, /. Roy. Statist. Soc. {A) (1959) 380, American Mathematical Monthly (1960) 310, Econometrica (1960) 727, MR (1960) 444, Math. Tables Aids Comput. (1960) 387, Psychometri{a (1960) 113. User: Kupperman (1960). Note: See Ch. 8. H Kunisawa, Kiyonori, Hajime Makabe, and Hidenori Morimura (1951), "Tables of confidence bands for the population distribution function. I," Reports of Statistical Application Research. Union of Japanese Scientists and Engineers 1, 23-44. Reviews: MR (1952) 569, Math. Tables Aids Comput. (1953) 93. Users: Kendall and Sundrum (1953), Kunisawa, Makabe, and Morimura (1955). FP Kunisawa, Kiyonori, Hajime Makabe, and Hidenori Morimura (1955), "Notes on the confidence band of population distribution," Reports of Statistical Application Research. Union of Japanese Scientists and Engineers 4,18-20. Review: MR (1956) 756. E Kupperman, Morton (1960), "On comparing two observed frequency counts," Applied Statistics 9, 37-41. Reviews: QCAS (1960) 1049, MR (1961) 52. F Kurlat, S., and M. D. Springer (1960), "Sequential analysis of the reliability of an antitank-mine simulator system," Operations Research 8, 473-486. DO 154

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Kurtz, Kenneth H., and Carl I. Hovland (1953), "The effect of verbalization during observation of stimulus objects upon accuracy of recognition and recall," Journal of Experimental Psychology 45, 157-164. O Kurtz, Kenneth H., and Carl I. Hovland (1956), "Concept learning with differing sequences of instances," Journal of Experimental Psychology 51, 239-243. Note: Wilcoxon one-sided two-sample test. O Kuznets, Simon (1929), "Random events and cyclical oscillations," J. Amer. Statist. Assoc. 24, 258-275. Note: Runs above and below the mean. INO Kvit, I. D. (1950), "On N. V. Smirnov's theorem concerning the comparison of two samples," Do\lady Abademii Nau\ SSSR (N.S.) 71, 229-231. Russian. Review: MR (1950) 528. Users: Gihman (1952a), Juvancz and Lipták (1952), Rényi (1953a), Gnedenko (1954). FN Lacey, John I., and Robert L. Smith (1954), "Conditioning and generalization of unconscious anxiety," Science 120, 1045-1052. Note: See p. 1049. Uses one- and two-sample Wilcoxon. 0 Ladd, G. W. (1956), "Effects of shocks and errors in estimation: an empirical comparison," Journal of Farm Economics 38, 485-495. Note: Sign test, χ2 goodness-of-fit test. 0 Ladegast, Konrad (1953), "Einige Abschätzungen für endliche unstetige Verteilungen," Mitteilungsblatt für mathematische Statisti\ (München) 5, 75-86. Review: MR (1952) 770. Ν Laderman, Jack (1939), "The distribution of 'Student's' ratio for samples of two items drawn from non-normal universes," Ann. Math. Statist. 10, 176-3,79. Review: MR (1940) 153. Users: R. A. Bradley (1952a, 1952b), Weibull (1953), J. V. Bradley (1959b). Κ Lakshmanamurti, M. (1945), "Coefficient of association between two attributes in statistics," Proceedings of the Indian Academy of Sciences (A) 22, 123-133. User: Goodman and Kruskal (1959). HO Lai, D. N. (1952), "On a test of a hypothesis concerning two independent frequency distributions," Journal of the Indian Society of Agricultural Statistics 4, 72-84. Review: MR (1953) 298. F Lai, D. N. (1955), "A note on a form of Tchebyscheff's inequality for two or more variables," San\hyä 15, 317-320. Review: MR (1957) 154. Users: Olkin and Pratt (1958), Whittle (1958), Isii (1959), Marshall and Olkin (1959), Birnbaum and Marshall (1960), Marshall and Olkin (1960a, 1960b). AC Lambert, William W., Elisabeth C. Lambert, and Peter D. Watson (1953), "Acquisition and extinction of an instrumental response sequence in the token-reward situation," Journal of Experimental Psychology 45, 321326. O 155

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Lamke, Tom Arthur (1955), "Non-parametric statistics in educational research," 12th Yearbook of the National Council on Measurements Used in Education, Part I (St. Louis), 35-43. A Lancaster, H. O. (1949a), "The derivation and partition of x 2 in certain discrete distributions," Biometrica 36, 117-129. Review: MR (1951) 191. Users: Lancaster (1950), Edwards (1951), Lancaster (1951), Cochran (1952), Williams (1952), Fog (1953), Lancaster (1953), Cochran (1954), Kimball (1954), Siotani (1955a), Batson (1956), Corsten (1957), Sutcliffe (1957), Kullback (1959), Kastenbaum (1960). H Lancaster, Η. O. (1949b), "The combination of probabilities arising from data in discrete distributions," Biometrica 36, 370-382. Users: E. S. Pearson (1950a), Gordon, et al. (1952), Lancaster (1952), Yates (1955), Savage (1957), Lipták (1958). X Lancaster, H. O. (1950), "The exact partition of x 2 and its application to the problem of the pooling of small expectations," Biometrica 37, 267270. Users: Lancaster (1951), Fog (1953), Kimball (1954), Batson (1956), Corsten (1957), J. V. Bradley (1959b), Kastenbaum (1960). E Lancaster, Η. O. (1951), "Complex contingency tables treated by the partition of χ 2 ," f . Roy. Statist. Soc. (Β) 13, 242-249. Review: MR (1953) 486. Users: Lancaster (1953), Corsten (1957), Sutclifie (1957), Snedecor (1958). Η Lancaster, H. O. (1952), "Statistical control of counting experiments," Biometri\a 39, 419^122. User: J. V. Bradley (1959b). E Lancaster, H. O. (1953), "A reconciliation of x 2 , considered from metrical and enumerative aspects," SanChyä 13, 1-10. Reivews: J. Amer. Statist. Assoc. (1954) 643-644, MR (1954) 972. Users: Corsten (1957), Lancaster (1958), Watson (1959). EHN Lancaster, H. O. (1958), "The structure of bivariate distributions," Ann. Math. Statist. 29, 719-736. User: Watson (1959). H LaSalle, J. P. (1961), "A report on Soviet mathematics," Notices of the American Mathematical Society 8, 25-29. User: Kruskal, Mosteller, and Savage (1961). Note: See section 6 page 28. A Latscha, R. (1953), "Tests of significance in a 2 X 2 contingency table: Extension of Finney's table," Biometrica 40, 74-86. Reviews: MR (1953) 1104, ]. Amer. Statist. Assoc. (1954) 375. Users: Bross and Kasten (1957), Harkness (1959). HP Lawshe, C. H., and P. C. Baker (1950), "Three aids in the evaluation of the significance of the difference between percentages," Educational and Psychological Measurement 10, 263-270. User: Trites (1957). GP Layman, J. C., and R. A. Bradley, "The effects of bimodality and of skew156

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ness in a population on the distribution of't.' " Abstract: J. Amer. Statist. Assoc. (1955) 586. Κ Leander, Ε. Κ., and D. J. Finney (1956), "An extension of the use of the chi-square test," Applied Statistics 5, 132-136. AO Lebowich, J. (1953), "An evaluation of the iodoacetate test for cancer," American Journal of Clinical Pathology 23, 45-55. 0 Lehmann, E. L. (1950), Notes on the Theory of Estimation, mimeographed lectures, University of California, Berkeley. 170 (5 chapters). Users: Z. W. Birnbaum (1956), Fraser and Guttman (1956), M. Rosenblatt (1956), Saunders (1956), Fraser (1957), Watson (1957), Capon (1959), Schwartz and Wearden ( 1959). Note: See Sec. 3.3. BG Lehmann, E. L. (1950a), "Some principles of the theory of testing hypotheses," Ann. Math. Statist. 21, 1-26. Users: Lehmann (1950), Hoeffding (1951b), Lehmann (1953), Hodges and Lehmann (1954), Hoeffding (1954), Hoeffding and Rosenblatt (1955), Lehmann (1955), Stoker (1955), Fraser and Guttman (1956), Fraser (1957), Lehmann (1957), Lipták (1958), Lehmann (1959), Pfanzagl (1959). Β Lehmann, Κ L. (1951), "Consistency and unbiasedness of certain nonparametric tests," Ann. Math. Statist. 22, 165-179. Review: MR (1951) 126. Users: Walter (1951), Vaart and Dantzig (1951), Kruskal (1952), Kruskal and Wallis (1952), Okamoto (1952a), Rosenblatt (1952), Terpstra (1952a), Kendall and Sundrum (1953), Lehmann (1953), Vaart (1953, 1953a), Waerden (1953c, 1953e), Andrews (1954), Dantzig and Hemelrijk (1954), Foster and Stuart (1954), Mood (1954), Stoker (1954, 1954a), Sundrum (1954), Terpstra (1954), Walter (1954a), Dantzig (1955), Kac, Kiefer, and Wolfowitz (1955), Lehmann (1955), Munter (1955), Putter (1955b), Rosenblatt (1955), Stoker (1955), Tsao (1955), Wabeke and Eeden (1955, 1955a), Z. W. Birnbaum (1956), Dwass (1954), Hoeffding (1956), Klose (1956), Romani (1956), Savage (1956), Walter (1956), Wegner (1956), Fraser (1957), Konijn (1957), Β Sukhatme (1957, 1957a), Waerden (1957), Barton and David (1958), Β. V. Sukhatme (1958a), Walter (1958), Bhapkar (1959), Capon (1959, 1959a), Hudimoto (1959), Kiefer (1959), Lehmann (1959), McLemore (1959), Pratt (1959), Schwartz and Wearden (1959), Walter (1959a), Ansari and Bradley (I960), Cohn, Mosteller, Pratt, and Tatsuoka (I960), Eiteren (1960), Fisz (1960), J. R. Rosenblatt (1960), Siegel and Tukey (1960), Β. V. Sukhatme (I960), Tamura (1960), Witting (1960). ABF Lehmann, E. L. (1953), "The power of rank tests," Ann. Math. Statist. 24, 23-43. Review: MR (1954) 888. Users: Waerden (1953d, 1953e), Anderson and Darling (1954), Andrews (1954), Dantzig and Hemelrijk 157

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(1954), Dixon (1954), Mood (1954), Ruist (1954), Stoker (1954), L. V. Jones (1955), Munter (1955), Neyman (1955), J. R. Rosenblatt (1955), Stoker (1955), Wabeke and Eeden (1955, 1955a), Dwass (1956), Savage (1956), Wegner (1956), Eeden and Benard (1957), Fraser (1957, 1957a), Konijn (1957), Mallows (1957), Savage (1957a, 1957b), D. Chapman (1958), Uzawa (1958), Capon (1959), Karlin and Truax (1959), Lehmann (1959), Pratt (1959), Schmetterer (1959), Uhlmann (1959), Eiteren (1960), Karlin and Truax (1960), Rao, Savage, and Sobel (I960), Pfanzagl (1960), Quandt (1960), J. R. Rosenblatt (1960), S. Sukhatme (1960), Uzawa (1960), Capon (1961). BGJ Lehmann, E. L. (1955), "Ordered families of distributions," Ann. Math. Statist. 26, 399-419. Review: MR (1956) 169. Users: Hall (1958a, 1959), Block and Marschak (1960). Note: See Sec. 6. BG Lehmann, E. L. (1957), "A theory of some multiple decision problems, I," Ann. Math. Statist. 28, 1-25. Review: MR (1957) 955. Note: See Sec. 5, 8 (iii, iv). BEF Lehmann, E. L. (1958), "Significance level and power," Ann. Math. Statist. 29, 1167-1176. Users: Harkness (1959), Pratt (1959). Note: See Sec. 5. BG Lehmann, E. L. (1959), Testing Statistical Hypotheses, Wiley, New York, xiii, 369. Reviews: American Mathematical Monthly (1960) 819, Biometri,\a (1960) 210, /. Roy. Statist. Soc. (A) (1960) 200, MR (1960) 1241, Math. Tables Aids Comput. (1960) 207, Vsychometrika (1960) 308, /. Amer. Statist. Assoc. (1961) 163. Users: Lehmann (1959a), Scheffé (1959), T . W . Anderson (1960), Bell (1960), Bell, Blackwell, and Breiman (1960), Karlin and Truax (1960), Pfanzagl (1960), Capon (1961). Note: See p. 40 ex. 7, p. 52, p. 133 ex. 7, p. 152 ex. 12, p. 153 ex. 13, p. 216 ex. 2-3: Sufficiency completeness and invariance order statistics; p. 76 ex. 4, p. 112 «?*. 13, p. 113 ex. 14, pp. 143-146, p. 205 ex. 19 (ii): Contingency tables; p. 92 ex. 8, pp. 147-149, p. 342 ex. 5: Sign test; p. 116 ex. 28: Confidence interval for a median; p. 154 ex. 19-20: Runs in Markor sequences; p. 156 ex. 21: Wilcoxon one-sample test; pp. 183-197, p. 205 ex. 20-24: Permutation tests; pp. 232-243, pp. 246-248: Invariances. Chapter 6 contains sections on: ( 7 ) rank tests ( 8 ) two-sample problem (9) symmetry (11) goodness-of-fit and problems in Sec. 12 corresponding to these sections. Pages 303-311, p. 321 ex. 34-35; x2 goodness-of-fit in relationship to linear hypotheses. AB Lehmann, E. L. (1959a), "Optimum invariant tests," Ann. Math. Statist. 30, 881-884. Note: See Sec. 3. BG Lehmann, E. L., and Henry Schefïé (1950), "Completeness, similar regions, and unbiased estimation, Part I," San\hyä 10, 305-340. Users: Lehmann 158

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and Stein (1949), Lehmann (1950a, 1951), Lehmann and Schefïé (1955), Grenander (1956), Fraser (1957), Grenander and Rosenblatt (1957), Steck (1957), Hogg and Craig (1959), Lehmann (1959), Schmetterer (1959), Bell, Blackwell, and Breiman (I960), David and Perez (1960). Β Lehmann, E. L., and Henry Schefïé (1955), "Completeness, similar regions and unbiased estimation, II," Sankhyä 15, 219-236. Reviews: MR (1954) 173, MR (1956) 279. Users: Lehmann (1951), Cox (1958a), Lehmann (1958), Lipták (1958), Lehmann (1959), Bell, Blackwell, and Breiman (1960). Β Lehman, E. L., and C. Stein (1949), "On the theory of some non-parametric hypotheses," Ann. Math. Statist. 20, 28-45. Review: MR (1949) 723. Users: Hemelrijk (1950a, 1950c), Lehmann (1950a), Hoefïding (1951, 1951b), Walter (1951), Hoefïding (1952), Ghosh (1954), Hoefïding (1954), Mood (1954), Ruist (1954), Stoker (1954), Walter (1954b), Box and Andersen (1955), Hoefïding and Rosenblatt (1955), Stoker (1955), Hoefïding (1956), Matusita and Akaike (1956), Walter (1956), Dwass (1957), Fraser (1957), Konijn (1957), Lubin (1957), Watson (1957), Chung and Fraser (1958), Walter (1958), Lehmann (1959), Walter (1959a), Wilks (1959). Β Leser, C. E. V. (1942), "Inequalities for multivariate frequency distributions," Biometrica 32, 284-293. Review: MR (1943) 16. Users: Kendall (1948), Godwin (1955), Isii (1959). CP Leslie, P. H. (1951), "The calculation of χ 2 for an r X c contingency table," Biometrics 7, 283-286. Review: MR (1952) 479. Users: Skory (1952), Mosteller (1953), Snedecor (1956). Η Leslie, P. H. (1955), "A simple method of calculating the exact probability in 2 X 2 contingency tables with small marginal totals," Biometrica 42, 522-523. Review: MR (1956) 169. User: Fager (1957). Η Lesser, Pamela C. V. (1933), "Note on the shrinkage of physical characters in man and woman with age, as illustration of the use χ 2 , Ρ methods," Biometrica 25, 197-202. EO Levene, Howard, "A test of randomness in two dimensions." Abstracts: Ann. Math. Statist. (1946) 500, Bull. Amer. Math. Soc. (1946) 621. Users: R. C. Bose (1950), Krishna Iyer (1950a), Kuipers (1957). IN Levene, Howard (1952), "On the power function of tests of randomness based on runs up and down," Ann. Math. Statist. 23, 34-56. Reviews: MR (1952) 762, Math. Tables Aids Comfmt. (1953) 25. Users: Stuart (1952), Mood (1954), Sundrum (1954), Munter (1955, 1956), Noether (1956), Goodman and Grunfeld (1961). BINP Levene, Howard (1960), "Robust test for equality of variances," Contribu-

ii

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tions to Probability and Statistics: Essays in Honor of Harold Hotelling, Ingram Olkin, et al., eds., Stanford University Press, Stanford, California, 278-292. KP Levene, Howard, and J. Wolfowitz (1944), "The covariance matrix of runs up and down," Ann. Math. Statist. 15, 58-69. Review: MR (1944) 208. Users: Wolfowitz (1944b), Feller (1945), Olmstead (1946), Wilks (1948), Krishna Iyer (1950b), Walter (1951), Haid (1952), Levene (1952), Krishna Iyer (1953), Krishna Iyer and Rao (1953), Barton and David (1959). IN Levert, Christoffel (1953), "La durée de retour et la durée d'absence de la plus grande valeur," Comptes Rendus (Paris) 2J7, 374-376. Review: MR (1954) 330. L Levine, Seymour (1953), "The role of irrelevant drive stimuli in learning," Journal of Experimental Psychology 45, 410-416. O Levitt, Eugene E. (1956), "A methodological study of the preparation of connected verbal stimuli for quantitative memory experiments," Journal of Experimental Psychology 52, 33-38. O Levy, Paul (1936), "La loi forte des grands nombres pour les variables aléatoires enchaînées," Journal de Mathématiques Pures et Appliquées 101, 11-24. Users: Lévy (1937), Feller (1945), Loève (1945, 1950). CN Lévy, Paul (1937), Théorie de l'Addition des Variables Aléatoires, GauthierVillars, Paris, 1937. Users: Berry (1941), Esseen (1945), Feller (1945), Loève (1945), Chung (1949), Haimos (1950), Kimball (1950), Loève (1950), Whitde (1951), Darling (1952a), M. Rosenblatt (1952a), Darling (1953), Doob (1953), Blackwell (1954), Gnedenko and Kolmogorov (1954), Nash (1954), Shapiro (1955), Adhikari and Joshi (1956), Dvoretzky, Kiefer, and Wolfowitz (1956), Féron (1956), Kiefer and Wolfowitz (1958), Gefïroy (1959), Hogg and Craig (1959), Chow (1960), Billingsley (1961a). Ν Lewis, Alan, and Vera T. Kanarefif (1959), Use of Autocorrelation and Uncertainty Measures for the Analysis of Decision Behavior, WADC Technical Report 59-434, Wright Air Development Center, WrightPatterson Air Force Base, Ohio, iv, 34. Note: See p. 12. O Lewis, Don, and C. J. Burke (1949), "The use and misuse of the chi-square test," Psychological Bulletin 46, 433-489. Users: Edwards (1950), Lewis and Burke (1950), Pastore (1950), Peters (1950), F. Adler (1951), Cochran (1952, 1954), Sawrey (1958), J. V. Bradley (1959b). EHO Lewis, Don, and C. J. Burke (1950), "Further discussion of the use and misuse of the chi-square test," Psychological Bulletin 47, 347-355. Users: F. Adler (1951), J. V. Bradley (1959b). E Lewis, T . (1953), "99.9 and 0.1 % points of the χ 2 distribution," Biometrica 160

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40, 421-426. Review: MR (1954) 330. User: L. V. Jones (1955). Ρ Li, J. C. R. (1958), Introduction to Statistical Inference, Edwards Brothers, Ann Arbor, Michigan, 553. Reviews: Applied Statistics (1958) 71-72, J. Amer. Statist. Assoc. (1958) 752-753. Note: The last chapter of the book deals with "methods of analysis which are not based on assumptions of normality." A Lichte, William H., and R. Flanagan Gray (1955), "The influence of overtone structure on the pitch of complex tones," Journal of Experimental Psychology 49, 431^136. Note: Rank correlations. 0 Lieblein, Julius (1953), "On the exact evaluation of the variances and covariances of order statistics in samples from the extreme value distribution," Ann. Math. Statist. 24, 282-287. User: Leiblein and Salzer (1957). L Lieblein, Julius, and H. E. Salzer (1957), "Table of the first moment of ranked extremes," journal of Research of the National Bureau of Standards 59, 203-206. Reviews: MR (1958) 688, OCAS (1958) 689. User: Kimball (1960). LP Lincoln, Robert S. (1954), "Learning a rate of movement," Journal of Experimental Psychology 47, 465-470. 0 Lincoln, Robert S., and Lawrence T . Alexander (1955), "Preferred patterns of motor and verbal responses," Journal of Experimental Psychology 50, 106-112. 0 Lindeberg, J. W. (1925), "Über die Korrelation," Matematiker Kongressen I Kobenhavn (31 August-4 September 1925), 437-446. Users: Hoeffding (1947, 1948a), Walter (1951), Kruskal (1958). / Lindeberg, J. W. (1929), "Some remarks on the mean error of the percentage of correlation," Nordis\ Statisti\ Tidskjift 8, 138-142. Users: Hoeffding (1948a), Moran (1950a), Kruskal (1958). Note: Not seen. / Lindgren, B. W., and G. W. McElrath (1959), Introduction to Probability and Statistics, Macmillan, New York, xiii, 277. Reviews: American Mathematical Monthly (1960) 708-709, Biometrica (1960) 488, Journal of the Institute of Management Sciences (1960) 501-502, MR (1960) 443, J. Amer. Statist. Assoc. (1961) 187. User: McElrath and Bearman (1959). Note: See Sec. 8.6, 8.7, 11.2 and Tables VII, VIII. A Linhart, H. (1958), "Critère de selection pour le choix des variables dans l'analyse de régression," Revue Suisse d'Economie Politique et de Statistique 94,202-232. / Linhart, H. (1960), "Approximate tests for m rankings," Biometrica 47, 476-480. Review: If A (1961) 505. MN Lipmann, Otto (1908), "Eine Methode zum Vergleich zweier Kollektivgegenstände," Zeitschrift für Psychologie 48, 421-431. Users: Lipmann (1921), Kruskal (1957). G 161

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Lipmann, Otto (1921), Abzählende Methoden und ihre "Verwendung in der Psychologischen Statisti}. A. Barth, Leipzig, 78. Users: Wirth (1925), Kruskal (1958). HJ Lipnik, Yu. V. (1952), "Linear statistics and the normal law," Dof(lady Akfidemii Nau\ SSSR 83, 353-355. Russian; English translation in Institute of Mathematical Statistics and American Mathematical Society (1961). O Lipps, G. F. (1905), "Die Bestimmung der Abhängigkeit zwischen den Merkmalen eines Gegenstandes," Berichte über die Verhandlungen der Könglich Sächischen Gesellschaft der Wissenschaften zu Leipzig, Mathematisch-Physische Klasse 57, 1-32. Users: Deuchler (1909, 1915), Burt (1950), Kruskal (1958), Goodman and Kruskal (1959). HJ Lipták, Tamás (1958), "On the combination of independent tests," Publications of the Mathematical Institute of the Hungarian Academy of Science 3, 171-195. English; Russian and Hungarian summaries. Review: IJA (1959) 232. BX Litchfield, John T., Jr., and Frank Wilcoxon (1955), "The rank correlation method," Analytical Chemistry 27, 299-300. Review: IJA-I (1956) 778. User: Kruskal (1958). AJP Livson, Norman, and Paul H. Müssen (1957), "The relation of ego control to overt aggression and dependency," Journal of Abnormal and Social Psychology 55, 66-71. Note: Wilcoxon two-sample. O Lloyd, E. H. (1952), "Least-squares estimation of location and scale parameters using order statistics," Biometrica 39, 88-95. Review: MR (1953) 65. Users: Jung (1955), Blom (1956), Sarhan and Greenberg (1956), Blom (1958). G Locks, Mitchell O. (1953), "Two nonparametric tests using the method of ranks for testing the randomness of samples drawn from finite populations," Proceedings, Oklahoma Academy of Science 34, 195-196. Review: /. Amer. Statist. Assoc. (1954) 330. E Loève, Michel (1945), "Étude asymptotique des sommes de variables aléatoires liées," Journal de Mathématiques Pures at Appliquées (9) 24, 249-318. Review: MR (1946) 458. Users: Loève (1950), Doob (1953). CN Loève, Michel (1950), "Fundamental limit theorems of probability theory," Ann. Math. Statist. 21, 321-338. User: Olds (1952). Note: Extensive references. AN Loève, Michel (1955), Probability Theory: Foundations. Random Sequences, Van Nostrand, New York, xv, 515. Reviews: J. Amer. Statist. Assoc. (1955) 986-987, MR (1955) 598. Users: Derman (1956), Loève (1956), Stein (1956), Walter (1956), Eeden and Benard (1957), Johns (1957), Motoo (1957), Rustagi (1957), Chernofï and Savage (1958), 162

LUBIN Chernofï and Teicher (1958), Orey (1958), Sobel and Huyett (1958), Capon (1959), Harkness (1959), Taga and Isii (1959), Bell (I960), Birnbaum and Marshall (1960), Chow (1960), Marshall (I960), Billingsley (1961a). C Loève, Michel (1956), "Ranking limit problem," Proceedings of the Third Berkeley Symposium on Mathematical Statistics and Probability, Vol. II, University of California Press, Berkeley, 177-194. Review: MR (1957) 942. User: Cogburn (1958). L Loevinger, Jane (1947), "A systematic approach to the construction and evaluation of tests of ability," Psychological Monographs 61 (4), 1-49. Users: Goodman (1959b), Goodman and Kruskal (1959). O Logan, Frank Α., Eileen M. Beier, and Wendell D. Kincaid (1956), "Extinction following partial and varied reinforcement," Journal of Experimental Psychology 52, 65-70. Note: Kruskal-Wallis test. O Lollar, Robert M. (1953), "Statistical methods applied to the analysis and testing of leather," Journal of the American Leather Chemists Association 48, 60-84. Note: Friedman analysis of variance. O Lombard, Herbert L., and Carl R. Doering (1947), "Treatment of the fourfold table by partial association and partial correlation as it relates to public health problems," Biometrics 3, 123-128. HO Lomnicki, Ζ. Α., and S. K. Zaremba (1957), "A further instance of the central limit theorem for dependent random variables," Mathematische Zeitschrift 66, 490-494. Review: MR (1959) 1018. Ν Long, John A. (1934), "Improved overlapping methods for determining the validities of test items," Journal of Experimental Education 2, 264-268. Users: Loevinger (1947), Goodman and Kruskal (1959). M Loosanoff, V. L., J. B. Engle, and C. A. Nomejko (1955), "Differences in intensity of setting of oysters and starfish," Biological Bulletin 109, 75-81. Note: Rank correlation. O Lord, E. (1947), "The use of range in place of standard deviation in the /-test," Biometrica 34, 41-67. Review: MR (1947) 394. Users: Patnaik (1949), Walsh (1949b), E. S. Pearson (1950a, 1950b), Pillai (1950), Hartley and Pearson (1951), Pillai (1951), Terpstra (1952b), Tippett (1952), Bennett and Franklin (1954), Cox (1954), Snedecor (1956), H. A. David (1958a), McLemore (1959), Tukey (1959a). LP Lowry, Dorothy Cruden, "A probabilistic study of runs in egg production." Abstract: Ann. Math. Statist. (1951) 485. IO Lubin, Ardie (1950), "Linear and non-linear discriminating functions," British Journal of Statistical Psychology 3, 90-103. Note: See Sec. 4. / Lubin, Ardie (1954), Are Non-parametric Tests Distribution-free?, mimeographed paper, Walter Reed Army Institute of Research, Washington, D.C., 17. A 163

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Lubin, Ardie (1957), Some Ran ¡{-order Tests for Trend in a Set of Correlated Means, mimeographed paper, Walter Reed Army Institute of Research, Washington, D.C., 27. /G Lubin, Ardie, "A rank order test for trend in correlated means." Abstracts: Ann. Math. Statist. (1957a) 524, Biometrics (1957a) 415. / Ludwig, Otto (1956), "Über die stochastische Theorie der Merkmalsiterationen," Mitteilungsblatt für mathematische Statisti\ 8, 49-82. Abstract: Biometrics (1956) 227. Reviews: MR (1956) 1095, QCAS (1956) 869. User: Kuipers (1957). Note: Survey of run theory. Forty-five references. AN Ludwig, Otto (1957), "Die Pascalsche Fragestellung für Merkmalsiterationen," Mitteilungsblatt für mathematische Statisti\ 9, 1-26, 81-101. Review: MR (1958) 889. Ν Lurquin, Constant (1922), "Sur le critérium de Tchebycheff," Comptes Rendus (Paris) 175, 681-683. Users: Lurquin (1924, 1929b), Shohat (1929), O. N. Anderson (1935), Wald (1939). C Lurquin, Constant (1924), "Sur une proposition fondamentale de probabilité," Comptes Rendus (Paris) 178, 306-308. User: Lurquin (1928c). C Lurquin, Constant (1928a), "Sur une inégalité fondamentale de probabilité," Comptes Rendus (Paris) 187, 868-870. French. User: Godwin (1955). C Lurquin, Constant (1928b), "Sur une limite de probablité du sens de Bienaymé-Tchebycheff," Comptes Rendus (Paris) 187, 1016-1018. User: Lurquin (1928a). C Lurquin, Constant (1928c), "Sur des formes d'extension du critérium de Bienaymé-Tchebycheff," Comptes Rendus (Paris) 188, 1214-1216. C Lurquin, Constant (1928d), "Sur une théorème de limite pour les probabilities au sens de Bienaymé-Tchebycheff," Bulletin de l'Académie Bruxelles 14, 641-658. User: Godwin (1955). Note: Not seen. C Lurquin, Constant (1929a), "Sur un critérium élémentaire pour la probabilité continuée," Mathesis 43, 165-168. Lurquin, Constant (1929b), "Sur l'inégalité de probabilité de Markoff," Bulletin des Sciences Mathématiques (Paris) 53, 333-340. C Lurquin, Constant (1929c), "Sur les critères de probabilité au sens de Bienaymé-Tchebycheff," Bulletin de l'Académie Bruxelles 15, 659-669. Note: Not seen. C Lutz, W. (1953), "Multi-dimensional contingency tables," Journal of the National Institute for Personnel Research, South African Council for Scientific and Industrial Research 5, 57-64. Note: Not seen. H Lyerly, Samuel B. (1952), "The average Spearman rank correlation co164

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efficient," Psychometri\a 17, 421-428. Review: MR (1953) 665. User: Cureton (1958). JNP Lykken, David T . (1957), "A study of anxiety in the sociopathic personality," Journal of Abnormal and Social Psychology 55, 6-10. Note: Wilcoxon two-sample. O Lynch, Leo, and John E. Freund (1957), On the Analysis of Paired Rani^ Observations, Technical Report No. 32 (Sponsored by Office of Ordnance Research, U.S. Army), Department of Statistics and Statistical Laboratory, Virginia Agricultural Experiment Station, Blacksburg, 80. GNP McAllister, Dorothy Elsey (1953), "The effects of various kinds of relevant verbal pre-training on subsequent motor performance," Journal of Experimental Psychology 46, 329-336. O McAllister, Wallace R. (1953), "The effect on eyelid conditioning of shifting the CS-US interval," Journal of Experimental Psychology 45, 423-428. O MacArthur, R. H. (1958), "Population ecology of some warblers of northeastern coniferous forests," Ecology 39, 599-619. GI McCarthy, Phillip J. (1947), "Approximate solutions for means and variances in a certain class of box problems," Ann. Math. Statist. 18, 349-383. Review: MR (1950) 41. NP McCarthy, Phillip J. (1957), Introduction to Statistical Reasoning, McGrawHill, New York, 402. Note: See 299-331 on χ 2 tests, and 380-387 on Spearman correlations. EPH] McCullough, Celeste (1955), "The variation in width and position of mach bands as a function of luminance," Journal of Experimental Psychology 49, 141-152. Note: Analysis of variance of ranked data. O Mace, Arthur E. (1960), Estimation of the Parameters of a General Class of Failure Processes with Particular Reference to the Weibull Process, Technical Report No. 1, Sponsored by the Office of Naval Research Contract NONR-2864(00) ; Project NR 042-210, Battelle Memorial Institute. 0 McElrath, Gayle W., and Jacob E. Bearman (1959), "Some economic considerations of inefficient statistics," Industrial Quality Control 16 (3), 10-14. Review: QCAS (1959) 1249. LP McFadden, J. A. (1955), "Urn models of correlation and a comparison with the multivariate normal integral," Ann. Math. Statist. 26, 478-489. Review: MR (1956) 47. Ν McGill, W. J. (1954), "Multivariate information transmission," Psychometric 19, 97-116. Review: /. Amer. Statist. Assoc. (1954) 913. Users: 165

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Lincoln and Alexander (1955), Goodman and Kruskal (1959), Kullback (1959). HO McHugh, R. B. (1956), "Efficient estimation and local identification in latent class analysis," Psychometri\a 21, 331-347. O Mclntyre, G. A. (1952), "A method for unbiased selective sampling using ranked sets," Australian Journal of Agricultural Research 3, 385-390. Review: J. Amer. Statist. Assoc. (1954) 182. LP Mack, C. (1948), "An exact formula for Qk(n), the probable number of ^-aggregates in a random distribution of η points," Philosophical Magazine (7) 39, 778-790. Review: MR (1959) 310. User: Domb (1952). Ν MacKae, D., Jr. (1956), "Roll call votes and leadership," Public Opinion Quarterly 20, 543-558. Note: Rank correlation. O McKay, A. J. (1935), "The distribution of the difference between the extreme observation and the sample mean in samples of η from a normal universe," Biometrica 27, 466-471. Users: Hartley (1942), Gumbel (1947), Godwin (1948), Wilks (1948), Kendall (1958), Kendall and Stuart (1958). LPN MacKinnon, William J. (1959), "Compact table of twelve probability levels of the symmetric binomial cumulative distribution for sample sizes to 1,000," /. Amer. Statist. Assoc. 54, 164-172. Errata: Ibid. (1959) 811. Review: I]A (1961) 425. Ρ McLemore, Benjamin H., Jr. (1959), On Test Efficiency Against Normal Alternatives (Research sponsored by the National Science Foundation under Contract US NSF G9104 46-32-54-355), University of Illinois, 22. G MacMahon, Percy (1915-16), Combinatory Analysis, Cambridge University Press, Cambridge, England, xix, 300 (Vol. 1); xix, 340 (Vol. 2). Users: Kermack and McKendrick (1937a, 1937b), Wallis and Moore (1941a), Kaplansky and Riordan (1945), Wilcoxon (1945), Kaplansky and Riordan (1946), Wilcoxon (1946), Kendall (1948), F. N. David (1949), Krishna Iyer (1949b), Bennett (1956a), Barton (1958), Sobel and Huyett (1958), Barton and David (1959), Joseph and Bizley (I960). Ν McMillan, Brockway (1949), "Spread of minima of large samples," Ann. Math. Statist. 20, 444^147. Review: MR (1952) 479. LN McNemar, Quinn (1947), "Note on the sampling error of the difference between correlated proportions of percentages," Psychometri\a 12, 153— 157. Users: Bowker (1948), Swineford (1948), Cronbach (1949), Staff of Comp. Lab. (1955), Cox (1958b), MacKinnon (1959). / McNemar, Quinn (1952), "Statistical theory and research design," Annual Review of Psychology 3, 409-418. A 166

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McNemar, Quinn (1955), Psychological Statistics, 2nd ed., Wiley, New York, vi, 408. Reviews: /. Amer. Statist. Assoc. (1955) 1345, Psychological Bulletin (1955) 525, Psychometric (1956) 93. Users: J. V. Bradley (1949b), Mosteller and Tukey (1949a), Cochran (1950), Adler (1951), Appel (1952), Wallis (1952), Buss (1953), Lubin (1954), L. V. Jones (1955), Spindler (1955), Guilford (1956), Nefzger and Drasgow (1957), Sawrey (1958). Note: See pp. 202-207 on contingency tables, 208-210 on rank correlation, Ch. 13 on x 2 goodness-of-fit, and Ch. 18 on "Distribution-free methods." There is a chapter of 4 pages dealing with sign test, median test, Mood's test of c correlated tests and Mann-Whitney U-test. First edition 1949. A McNemar, Quinn (1957), "On Wilson's distribution-free test of analysis of variance hypotheses," Psychological Bulletin 54, 361-362. Users: McNemar (1958), Diamond (1959), Ylvisaker (1960). HK McNemar, Quinn (1958), "More on the Wilson test," Psychological Bulletin 55, 334-335. User: Ylvisaker (1960). H Madaira, Joäo Lyra (1955-1957), "Some considerations about the estimate of c and its variances in Gompertz, Makeham, and Makeham's modified cases," Bulletin de l'Institut International de Statistique 35, 231-239. Note: Not seen. I Madansky, Albert (1959), "The fitting of straight lines when both variables are subject to error," /. Amer. Statist. Assoc. 54, 173-205. Note: Extensive bibliography. A] Madow, William G. (1948), "On the limiting distributions of estimates based on samples from finite universes," Ann. Math. Statist. 19, 535-545. Review: MR (1950) 554. Users: Hoeffding (1951), Silvey (1953), Hemelrijk (1954), Motoo (1957), Cox (1958), Erdös and Rényi (1959), Eeden and Runnenburg (1960). BN Maguire, Β. Α., E. S. Pearson, and A. H. A. Wynn (1953), "Further notes on the analysis of accident data," Biometrica 40, 213-216. User: Bartholomew (1954). 0 Mahalanobis, P. C. (1944), "On large-scale sample surveys," Philosophical Transactions of the Royal Society of London (Β) 231, 329—451. Users: Ghosh (1948), Krishna Iyer (1948a), K. R. Nair (1948a), Bose (1950), Β. V. Sukhatme (1951). IN Mahalanobis, P. C., et al. (1933), "Tables of random samples from a normal population," San\hyà 1, 289-328. Users: K. R. Nair (1938), Α. Ν. K. Nair (1941), Nair and Banerjee (1942), Tukey (1949), Ehrenberg (1951), Beiz and Hooke (1954), Singh (1958). Ρ Mainland, Donald (1948), "Statistical methods in medical research: 1. Qualitative statistics (enumeration data)," Canadian Journal of Research (E) 26, 1-166. Users: Lancaster (1949b), Bross and Delaney (1952), 167

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Cochran (1952), Mainland (1952), Mainland and Murray (1952), Oakland (1952), Blom (1954), Cochran (1954), Armsen (1955), Duncan (1955), Bross and Kasten (1957), Dixon and Massey (1957), Pachares (I960). HOP Mainland, Donald (1952), Elementary Medical Statistics, Saunders, Philadelphia. Users: Mainland (1953), Sollberger (1960). Note: See Ch. 4. HP Mainland, Donald (1953), "The risk of fallacious conclusions from autopsy data on the incidence of diseases with applications to heart disease," American Heart Journal 45, 644-654. User: Goodman and Kruskal (1959). O Mainland, Donald, Lee Herrera, and I. Marion Sutcliffe (1956), Tables for Use with Binomial Samples—Contingency Tests, Confidence Limits and Sample Size Estimates, Department of Medical Statistics, New York University College of Medicine, xix, 83. Review: J. Amer. Statist. Assoc. (1957) 388. Users: Eeden and Korswagen (1959), Lehmann (1959). Note: Not seen. HP Mainland, Donald, and I. M. Murray (1952), "Tables for use in fourfold contingency tests," Science 116, 591-594. Reviews: Math. Tables Aids Comput. (1949) 362, MR (1953) 389. Users: Bross and Kasten (1957), Trites (1957). HP Mallows, C. L. (1956), "Note on the moment-problem for unimodal distributions when one or both terminals are known," Biometrica 43, 224-227. Review: MR (1956) 950. C Mallows, C. L. (1956a), "Generalizations of Tchebycheff's inequalities," /. Roy. Statist. Soc. (Β) 18, 139-176. Review: MR (1958) 326. Users: Kendall (1958), Kendall and Stuart (1958), Simpson and Welch (1960). AC Mallows, C. L. (1957), "Non-null ranking models. I," Biometrica 44, 114-130. Review: MR (1958) 330. Users: Fieller, et al. (1957), Barton, David, and Mallows (1958), Block and Marschak (1960). GN Mallows, C. L. (1959), "On the probability integral transformation," Biometrica 46, 481-^83. Review: I]A (1960) 579. Ν Malmquist, Sten (1950), "On a property of order statistics from a rectangular distribution," S\andinavis\ A\tuarietidskrtft 33, 214-222. Review: MR (1951) 725. Users: Darling (1953), Rényi (1953a), Hajos and Rényi (1954, 1954b), Blackman (1955), Blom (1958). EN Malmquist, Sten (1954), "On certain confidence contours for distribution functions," Ann. Math. Statist. 25, 523-533. Review: MR (1955) 382. Users: Schmid (1958), Quade (1959), Kuiper (1960). E Maltaner, Frank, and William R. Thompson (1943), "Chemical analyses 168

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of the blood plasma of chicks deficient in vitamin K," Archives of Biochemistry 2,49-54. 0 Maltzman, Irving, and Lloyd Morrisett, Jr. (1953), "The effects of single and compound classes of anagrams on set solutions," Journal of Experimental Psychology 45, 345-350. O Mandel, J., and F. }. Linnig (1956), "Statistical methods in chemistry," Analytical Chemistry 28, 770-777. AO Manis, Melvin (1955), "Social interaction and the self concept," Journal of Abnormal and Social Psychology 51, 362-370. 0 Maniya, G. M. (1949), "Generalizations of the criterion of A. N. Kolmogorov for an estimate for the law of distribution for empirical data," Doklady A\ademiyi Nau\ SSSR (N.S.) 69, 495-497. Russian. Review: MR (1950) 261. Users: Anderson and Darling (1952), Gihman (1952a), Maniya (1953), Rényi (1953a), Gnedenko (1954), Malmquist (1954), Öentsov (1956), Schmid (1958). EN Maniya, G. M. (1953), "Practical application of the estimate of the maximum of bilateral deviations of an empirical distribution curve in a given interval of growth of a theoretical law," Soobsceniya A\ademii Nau\ Gruztnskoi SSR (Tbilisi) 14, 521-524. Review: MR (1954) 809. E Mann, Henry B. (1945a), "Nonparametric tests against trend," Econometrica 13, 245-259. Review: MR (1946) 21. Users: Hoefifding (1948a), Daniels (1950), Moran (1950a), Noether (1950), Lehmann (1951), Walter (1951), Terpstra (1952a), Tintner (1952), Munter (1953b), Terpstra (1953), Dantzig and Hemelrijk (1954), Ghosh (1954), Stuart (1954b), Kendall (1955b), Munter (1955, 1956), Stuart (1956b), Terpstra (1956), Fraser (1957), Hemelrijk (1957), Morice (1958). IN Mann, Henry B. (1945b), "On a test for randomness based on signs of differences," Ann. Math. Statist. 16, 193-199. Review: MR (1946) 22. Users: Munter (1945), Kaplansky and Riordan (1946), Walter (1951), Chapman (1952), Stuart (1952), Munter (1955), Savage (1957), Morice (1958). IN Mann, Henry B. (1950), "Nonparametric tests against trend," Statistical Inference in Dynamic Economic Models, Wiley, New York, 345-351. IP Mann, Henry B., and A. Wald (1942), "On the choice of the number of class intervals in the application of the chi square test," Ann. Math. Statist. 13, 306-317. Review: MR (1943) 105. Users: Gumbel (1943), Schefïé (1943b), Lehmann (1950a), Massey (1951a), Cochran (1952), Okamoto (1952b, 1952c, 1952d), Z. W . Birnbaum (1953a), Gephart (1955), Kac, 169

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Kiefer, and Wolfowitz (1955), Munter (1955), Rand Corp. (1955), Tsao (1955), Moses (1956c), Oliveira (1957a), Steck (1957), Watson (1957a, 1958), Quandt (1960). Note: Reprinted in Wald (1955). E Mann, Henry B., and A. Wald (1943), "On stochastic limit and order relationships," Ann. Math. Statist. 14, 217-226. Users: Ghosh (1948), Kac, Kiefer, and Wolfowitz (1955), Chernoff and Rubin (1956), A. R. Roy (1956). Note: Reprinted in Wald (1955). Ν Mann, Henry Β., and D. R. Whitney (1947), "On a test of whether one of two random variables is stochastically larger than the other," Ann. Math. Statist. 18, 50-60. Review: MR (1948) 151. Users—Class Β (Theory): Lehmann (1951, 1953), Ruist (1954), Munter (1955), Putter (1955b), J. R. Rosenblatt (1955), Dwass (1956), Savage (1956), Konijn (1957), Capon (1959, 1961). Users—Class Ν (Distribution): Andrew W. Marshall (1951), Drion (1952), Hemelrijk (1952c), Kruskal (1952), Terpstra (1952a), Waerden (1952), White (1952), Benard and Eiteren (1953), Dwass (1953), Terpstra (1953), Stoker (1954), Sundrum (1954c), Eeden and Hemelrijk (1955), Hájek (1955), J. R. Rosenblatt (1955), Stoker (1955), Bennett (1956), Dwass (1956), Kamat (1956), Smid (1956), Vaart (1956), Dantzig (1957), Lynch and Freund (1957), Doornbos and Prins (1958), Krishna Iyer (1958), Vaart (1958), Capon (1959), Steel (1959b), Weibull (1959), Halperin (I960), Β. V. Sukhatme (1960), S. Sukhatme (1960), Wetherill (1960). Users—Class 0 (Applications): Eninger (1951), Kendler and Levine (1951), J. A. Taylor (1951), Irion and Gustafson (1952), Moses (1952a), Noble (1952), Oakland (1952), Terry, Bradley, and Davis (1952), White (1952), Benard and Eeden (1953), Eeden (1953a), Färber and Spence (1953), N. Guttman (1953), Kooij (1953), Levine (1953), D. E. McAllister (1953), W. R. McAllister (1953), Ramond (1953), Vaart (1953a), Bragiel and Perkins (1954), Eckstrand and Wickens (1954), Kendler and Vineberg (1954), Ramond (1954), Birch and Vandenberg (1955), Freeburne and Schneider (1955), Goodnow and Postman (1955), Kendler and D'Amato (1955), Reinhold and Perkins (1955), Russell (1955), Calvin and Williams (1956), Harker (1956), Kelleher (1956), Alper (1957), Livson and Müssen (1957), Bross (1958), Edwards (1958), Salzinger and Pisoni (1958), Perkins, Hershberger, and Weyant (1959), Schwartz and Wearden (1959), Quandt (1960). Users—Class Ρ (Tables): Wilcoxon (1947), Westenberg (1948), Drion (1952), Kruskal and Wallis (1952), Rijkoort (1952), Terry (1952), Waerden (1952), White (1952), Auble (1953b), Moses (1953), Goodman (1954b), Jonckheere (1954b), Sundrum (1954c), Eeden (1955), Fix and Hodges (1955), Hájek (1955), Wabeke and Eeden (1955), Kamat (1956), Savage (1956), Vaart (1956), Lynch and Freund (1957), Tate 170

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and Clelland (1957), Waerden (1957), Barton and David (1958), Doornbos and Prins (1958), Diamond (1959), Steel (1959b), Weibull (1959), Halperin (1960), Ryan (1960), Siegel and Tukey (1960), Β. V. Sukhatme (1960), S. Sukhatme (1960). Users—Other classes: McNemar (1949), Hemelrijk (1950b, 1950c), Vaart (1950a), Dantzig (1951), Vaart and Dantzig (1951), Walter (1951), Wallis (1952), Kendall and Sundrum (1953), Munter (1953b), K. Smith (1953), Sundrum (1953d), Vaart (1953), Waerden (1953a), Andrews (1954), Dantzig and Hemelrijk (1954), Lubin (1954), Mood (1954), Munter (1954a), Terpstra (1954), Dantzig (1955), Krishna Iyer and Singh (1955), Ζ. W. Birnbaum (1956), Cureton (1956), Eeden (1956a), Guilford (1956), Klose (1956), Birnbaum and Klose (1957), Dixon and Massey (1957), Hemelrijk (1957), B. Sukhatme (1957), Eeden and Rümke (1958), Fraser (1958), Hudimoto (1958), Morice (1958), Sawrey (1958), Singh (1958), Capon (1959a), Hudimoto (1959), Lindgren and McElrath (1959), McLemore (1959), Wilks (1959), Eeden (1960), Elteren (1960). GNP Mansfield, E., and H. H. Wein (1958), "A regression control chart for costs," Applied Statistics 7, 48-57. Note: Use runs and Kendall's τ. O Mantel, Nathan, "The interactions of certain contingency tables." Abstract: /. Amer. Statist. Assoc. (1955) 588. H Marbach, Giorgio (1959), "Su alcune relazioni statistiche in distribuzioni dicotomiche doppie," Statistica (Bologna) 19, 505-524. Review: MR (1961) 186. Note: Not seen. H Marbe, Κ. (1916), Mathematische Bemerkungen zu meinem Buch "Die Gleichförmigkeit in der Welt," C. H. Beck, Munich, 16. User: Cochran (1936). Note: Not seen. See pp. 8-9. IN Marbe, K. (1934), Grundfragen der Angewandten Wahrscheinlichkeitsrechnung und Theoretischen Statistik, C. H. Beck, Munich, 177. Users: Cochran (1936), Mood (1940). Ν March, James G. (1954), "Group norms and the active minority," American Sociological Review 19, 733-741. Note: Run test. O March, Lucien (1905), "Comparaison numérique des courbes statistiques," journal de la Société de Statistique de Paris 46, 255-277, 306-311. User: Kruskal (1958). G Marcus, Leslie F. (1960), A Census of the Abundant Large Pleistocene Mammals from Rancho La Brea, Los Angeles County Museum Contributions in Science, No. 38, Los Angeles, California, 11. Note: x2 tests. O Mark, Henry J., and Benjamin Pasamanick (1958), "Variability of light perception thresholds in brain-injured children," Journal of Abnormal and Social Psychology 57, 25-28. Note: Wilcoxon two-sample. O Markoff, A. (1884a), On Certain Applications of Algebraic Continued 171

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Fractions, thesis, St. Petersburg. Russian. Users: Zelen (1952), Mallows ( 1956a). Note: Not seen. C Markofï, A. (1884b), "Demonstration de certaines inégalités de M. Tchebychef," Mathematische Annalen 24, 172-180. Users: Zelen (1952), Royden (1953), Khamis (1954). C Markofï, A. (1924), Calculus of Probability, 4th ed., Soviet Press, Moscow, 588. Russian. Users: Lurquin (1929b), Smirnov (1947), Loève (1950), Doob (1953), Gnedenko and Kolmogorov (1954), Féron (1956). Note: Not seen. First edition 1900; German translation of 1908 edition appeared in 1912. C Marsaglia, George (1954), "Iterated limits and the central limit theorem for dependent variables," Proceedings of the American Mathematical Society 5, 987-991. Review: MR (1955) 494. Users: Lomnicki and Zaremba (1957), Billingsley (1961a). Ν Marshall, Albert W . (1960), "A one-sided analog of Kolmogorov's inequality," Ann. Math. Statist. 31, 483-487. Review: If A (1961) 298. C Marshall, Albert W., "Multivariate Chebyshev type inequalities." Abstract: /. Amer. Statist. Assoc. (1960) 366. C Marshall, Albert W., and Ingram Olkin (1959), A Bivariate Tchebycheff Inequality for Certain Convex Sets, Department of the Army Project No. 5B99-01-004, Office of Ordnance Research, Michigan State University, 29. C Marshall, Albert W., and Ingram Olkin (1960), "A one-sided inequality of the Chebyshev type," Ann. Math. Statist. 31, 488-491. Review: IJA (1961) 299. User: Marshall and Olkin (1960a). C Marshall, Albert W., and Ingram Olkin (1960a), "Multivariate Chebyshev inequalities," Ann. Math. Statist. 31, 1001-1014. C Marshall, Albert W., and Ingram Olkin (1960b), "A bivariate Chebyshev inequality for symmetric convex polygons," Contributions to Probability and Statistics: Essays in Honor of Harold Hotelling, Ingram Olkin, et al., eds., Stanford University Press, Stanford, California, 299-308. C Marshall, Albert W., and Ingram Olkin (1960c), Game Theoretic Proof that Chebyshev Inequalities are Sharp, Technical Report No. 36, Applied Mathematics and Statistics Laboratories, Stanford University, Stanford, California, 15. Note: Not seen. C Marshall, Andrew W. (1951), "A large sample test of the hypotheses that one of two random variables is stochastically larger than the other," J. Amer. Statist. Assoc. 46, 366-374. Review: MR (1952) 260. Users: Kruskal (1952), K. Smith (1953), Goodman (1954b), Konijn (1957), Hudimoto (1958). FGN Marshall, Andrew W. (1958), "The small sample distribution of n«, 2 ," Ann. Math. Statist. 29, 307-309. EP 172

MASSEY

Marshall, Andrew W., and John E. Walsh (1952), "Some tests for comparing percentage points of two arbitrary continuous populations," Proceedings of the International Congress of Mathematicians 1, American Mathematical Society, Providence, Rhode Island, 582-583. User: Walsh (1955). G Marvick, Dwaine (1954), Career Perspectives in a Bureaucratic Setting, Michigan Government Studies, Number 27, Bureau of Government, Institute of Public Administration, University of Michigan, 150. Review: J. Amer. Statist. Assoc. (1955) 619. 0 Massey, Frank J. (1950a), "A note on the power of a non-parametric test," Ann. Math. Statist. 21, 440-443. Errata: See Massey (1952c). Review: MR (1951) 117. Users: Lehmann (1951), Massey (1951a, 1951b), Walter (1951), Juvancz and Lipták (1952), Massey (1952c), Lehmann (1953), Rényi (1953a), Waerden (1953b), Munter (1955), Schmid (1958), Walter (1958), Capon (1959), Quade (1959). E Massey, Frank J. (1950b), "A note on the estimation of a distribution function by confidence limits," Ann. Math. Statist. 21, 116-119. Review: MR (1950) 446. Users: Massey (1950a, 1951a, 1951b), Simpson (1951), Z. W. Birnbaum (1952), Juvancz and Lipták (1952), Ζ. W. Birnbaum (1953a), Gihman (1953), Rényi (1953a), Goodman (1954b), Malmquist (1954), Kunisawa, Makabe, and Morimura (1955), Tsao (1955), Bartholomew (1956a), Miller (1956), Schmid (1958), Wilks (1959). ENP Massey, Frank J. (1951a), "The Kolmogorov-Smirnov test for goodness of fit," J. Amer. Statist. Assoc. 46, 68-78. Review: Math. Tables Aids Comput. (1952) 23. Users: An. W. Marshall (1951), Z. W. Birnbaum (1952), Moses (1952), Whidden (1952), Z. W . Birnbaum (1953a), Moses (1953), K. Smith (1953), Waerden (1953b), Goodman (1954b), Gartaganis and Goldberger (1955), Klose (1956), Miller (1956), Dixon and Massey (1957), Hudimoto (1958), Noether (1958), J. I. Rosenblatt (1958), Schaie (1958), Lindgren and McElrath (1959), Epstein (1960). EFP Massey, Frank J. (1951b), "The distribution of the maximum deviation between two sample cumulative step functions," Ann. Math. Statist. 22, 125-128. Reviews: MR (1951) 621, Math. Tables Aids Comput. (1952) 23. Users: Drion (1952), Juvancz and Lipták (1952), Massey (1952b), Moses (1952), Lehmann (1953), Moses (1953), Gnedenko (1954), Malmquist (1954), Stoller (1954), Tsao (1954), Epstein (1955), Munter (1955), Romani (1956), Chang and Fisz (1957b), Dixon and Massey (1957), Schaie (1958), Birnbaum and Hall (1959), Carvalho (1959), Kemperman (1959), Kiefer (1959). FNP Massey, Frank J. (1951c), "A note on a two-sample test," Ann. Math. 173

MASSEY

Statist. 22, 304-306. Review: MR (1951) 841. Users: Kruskal (1952), Kruskal and Wallis (1952), Moses (1953), Munter (1953b, 1954, 1955), Bhapkar (1959). FN Massey, Frank J., "Nonparametric comparisons of populations when data are collected in homogeneous groups." Abstract: Ann. Math. Statist. (1952) 642. G Massey, Frank J. (1952b), "Distribution table for the deviation between two sample cumulatives," Ann. Math. Statist. 23, 435-441. Errata: Math. Tables Aids Comput. (1958) 262-263. Reviews: MR (1952) 63, Math. Tables Aids Comput. (1953) 93. Users: Juvancz and Lipták (1952), Kendall and Sundrum (1953), Rényi (1953a), Munter (1955), Dixon and Massey (1957), Savage (1957), Kiefer (1959), Lindgren and McElrath (1959). FP Massey, Frank J. (1952c), "Correction to a note on the power of a nonparametric test," Ann. Math. Statist. 23, 637-638. Review: MR (1953) 391. User: Munter (1955). E Massey, Frank J., "On the analysis of data matched in pairs." Abstract: Ann. Math. Statist. (1952) 475. G Masuyama, Motosaburo (1942), "The Bienaymé-Tchebychefï inequality for Hermitic tensors," Proceedings of the Physical-Mathematical Society of Japan (3) 24, 409-411. Review: MR (1946) 310. C Masuyama, Motosaburo (1951), "An improved binomial probability paper and its use with tables," Reports of Statistical Application Research, Union of Japanese Scientists and Engineers 1, 15-22. Review: MR (1952) 96. NX Masuyama, Motosaburo (1955), "Table of two-sided 5% and 1% control limits for individual observations of the r-th order," San\hyä 15, 291— 294. Reviews: MR (1956) 169, Math. Tables Aids Comput. (1957) 30. GP Mathematical Center (1952), Auxiliary Table for Wilcoxon's Two Sample Test, Report R132/S86, Mathematical Center, Amsterdam, 35. Review: MR (1953) 189. Note: Not seen. See Rümke (1953). GP Mathen, Κ. Κ. (1946), "A criterion for testing whether two samples have come from the same population without assuming the nature of the population," San\hyä 7, 329. Review: MR (1947) 44. Users: Mann and Whitney (1947), Terry (1952). F Mathisen, Harold C. (1943), "A method of testing the hypothesis that two samples are from the same population," Ann. Math. Statist. 14, 188-194. Review: MR (1944) 128. Users: Scheffé (1943b), Bowker (1944), Wilks (1948), Wolfowitz (1949), Lehmann (1951), Munter (1953b), Ramachandran and Ranganathan (1953), Munter (1954b), Konijn (1957). FNP 174

MAY

Matusita, Kameo (1951), "On the theory of statistical decision functions," Annals of the Institute of Statistical Mathematics 3, 17-35. Errata: Ibid. (1952) 51-53. Users: Matusita (1953), Adhikari and Joshi (1956). Β Matusita, Kameo (1953), "A distance between distribution functions and its applications," Proceedings of the Institute of Statistical Mathematics 1, 47-49. Japanese; English abstract. F Matusita, Kameo (1954), "A remark to 'On the estimation by the minimum distance method,' " Annals of the Institute of Statistical Mathematics 6, 124. Review: MR (1954) 973. EN Matusita, Kameo (1954a), "On the estimation by the minimum distance method," Annals of the Institute of Statistical Mathematics 5, 59-65. Errata: Ibid. (1954) 124. Review: MR (1954) 973. User: Matusita (1955). EB Matusita, Kameo (1955), "Decision rules, based on the distance, for problems of fit, two samples, and estimation," Ann. Math. Statist. 26, 631— 640. Review: MR (1956) 505. Users: Hudimoto (1956a), Matusita (1956), Matusita and Akaike (1956), Matusita and Motoo (1956), Matusita (1957), Hudimoto (1958), Okamoto (1958), J. I. Rosenblatt (1958). CEF Matusita, Kameo (1956), "Decision rule, based on the distance, for the classification problem," Annals of the institute of Statistical Mathematics 8, 67-77. Review: MR (1958) 186. User: Hudimoto (1957, 1958). CF Matusita, Kameo, and Hirotugu Akaike (1956), "Decision rules, based on the distance, for the problems of independence invariance and two samples," Annals of the Institute of Statistical Mathematics 7, 67-80. Errata: Ibid. (1956) 221. Review: MR (1957) 158. Users: Matusita (1956), Matusita and Motoo (1956), Matusita (1957), Okamoto (1958). BCEHIN Matusita, Kameo, and Minoru Motoo (1956), "On the fundamental theorem for the decision rule based on distance," Annals of the Institute of Statistical Mathematics 7, 137-142. Review: MR (1957) 158. Users: Matusita (1956, 1957), Okamoto (1958). CN Mauldon, J. G. (1951), "Random division of an interval," Proceedings of the Cambridge Philosophical Society 47, 331-336. Review: MR (1951) 721. t/ier:Dwass (1959). Ν Maurice, Rita J. (1958), "Selection of the population with the largest mean when comparisons can be made only in pairs," Biometrica 45, 581-586. Users: H. A. David (1959), Glenn (1960). KP May, Joyce M. (1952), "Extended and corrected tables of the upper percentage points of the 'Studentized' range," Biometrica 39, 192-193. Reviews: MR (1952) 961, Math. Tables Aids Comput. (1953) 94. User: Harter (1960). LP 175

MAYCOCK

Maycock, P. F. (1956), "Composition of an upland conifer community in Ontario," Ecology 37, 846-848. Note: χ2 for association. O Mayo, S. T. (1957), "Recent techniques for analyzing association in contingency tables as applied to an analytical follow-up survey of education graduates," Journal of Experimental Education 25, 203-232. O Mednick, Martha T., and Ogden R. Lindsley (1958), "Some clinical correlates of operant behavior," journal of Abnormal and Social Psychology 57, 13-16. Note: 2 X 2 table. O Mednick, Sarnoff A. (1960), "Body image, personality, and chi square," Contemporary Psychology 5, 316-317. Note: Compute your χ 2 correctly. O Mednick, Sarnoff Α., Alan Harwood, and Jack Wertheim (1957), "Perception of disturbing and neutral words through the autokinetic word technique," Journal of Abnormal and Social Psychology 55, 267-268. Note: Wilcoxon one-sample. O Medolaghi, P. (1909), "La teoria del rischio e le sue applicazioni," Transactions of the Sixth International Actuarial Congress (Vienna) 6, 723. Note: Not seen. C Meehl, Paul E., and Kenneth MacCorquodale (1953), "Drive conditioning as a factor in latent learning," Journal of Experimental Psychology 45, 20-24. Note: Wilcoxon one-sided one-sample test. O Meideil, Birger (1921), "Quelques inégalités sur les fonctions monotones," S\andinavis\ A\tuarietids\rift 4, 230-238. Users: Meidell (1922), Selberg (1942), Münzner (1950). C Meidell, Birger (1922), "Sur une problème du calcul des probabilités et les statistiques mathématiques," Comptes Rendus (Paris) 175, 806-808. Users: Camp (1922), Meidell (1923), Shohat (1929), Smith (1930), O. N. Anderson (1935), Bignardi (1947a), Theil (1949), Münzner (1950), Dantzig (1951b), E. B. Wilson (1952), C. D. Smith (1955). C Meidell, Birger (1923), "Sur la probabilité des erreurs," Comptes Rendus (Paris) 176, 280-282. Users: Shohat (1929), C. D. Smith (1930, 1955), Munter (1956), Taga and Isii (1959). C Meier, Paul, "Nonparametric estimation of survivorship." Abstract: /. Amer. Statist. Assoc. (1955) 589. Users: Elveback (1958), Kaplan and Meier (1958). G Meizler, D. G. (1949), "On the problem of B. V. Gnedenko," U\rains\ii Matematices/φ Zurnal 1, 67-84. Russian. Review: MR (1952) 186. Note: Not seen. L Meizler, D. G. (1950), "On the limit distribution of the maximal term of a variational series," Dopovidi A\ademii Nau\ U\raïns'\oi Radyans'\oi Socialisticnoi Respubli\i, 3-10. Ukrainian; Russian summary. Review: MR (1952) 663. Note: Not seen. LN 176

MILLER

Mendenhall, William (1958), "A bibliography on life testing and related topics," Biometrica 45, 521-543. Note: See classes " O " and " K " of Mendenhall bibliography. A Menzel, Herbert (1957), "Public and private conformity under different conditions of acceptance in the group," Journal of Abnormal and Social Psychology 55, 398-402. Note: 2 X 2 tables. 0 Metropolis, N. C., G. Reitweisner, and J. von Neumann (1950), "Statistical treatment of values of first 2,000 decimal digits of e and of π calculated on the ENIAC," Math. Tables Aids Comput. 4, 109-111. EO Meyer, Herbert A. (1956), Symposium on Monte Carlo Methods, Wiley, New York. Note: Papers and annotated bibliography on generating and testing random numbers; see 15-28, 234-248, 327-337. 0 Meyer, J., and E. Kuh (1955), "Acceleration and related theories of investment: An empirical inquiry," Review of Economics and Statistics 37, 217-231. 0 Michaud, L. (1920), "La valeur du calcul des probabilités pour la medicine interne," Schweizerische Medizinische Wochenschrift 1, 743-751. User: Kruskal (1958). O Michener, C. D., R. B. Lange, J. J. Bigarella, and R. Salamuni (1958), "Factors influencing the distribution of bees' nests in earth banks," Ecology 39, 207-217. Note: Kruskal-Wallis test. 0 Midzuno, Hiroshi (1950), "On certain groups of inequalities. Confidence intervals for the mean," Annals of the Institute of Statistical Mathematics 2, 21-33. Review: MR (1951) 509. User: Aoyama (1952). C Midzuno, Hiroshi, Ghigio Hayashi, Kameo Matusita, and Hirojiro Aoyama (1954), Tables for Non-parametric Statistical Tests, Asakura, Tokyo, 229. Japanese. Ρ Mihalevic, V. S. (1952), "On the mutual disposition of two empirical distribution functions," Do^lady A\ademii Nau\ SSSR (N.S.) 85, 485488. Russian; English translation in Institute of Mathematical Statistics and American Mathematical Society (1961). Review: MR (1953) 297. Users: Juvancz and Lipták (1952), Rényi (1953a), Gnedenko (1954), Blackman (1956). FN Mihoc, G. (1943), "Sur le problème des iterations dans une suite d'épreuves," Bulletin Mathématique de la Société des Sciences 45, 81-95. Review: MR (1946) 19. Note: Not seen. IN Mihoc, G. (1949), "La loi limite de la probablité des nombres des iterations de longueur donné," Academia Republicii Populare Romine Buletin Stiintific (A) 2, 213-227. Review: MR (1952) 363. Note: Not seen. Ν Miller, Leslie Η. (1956), "Table of percentage points of Kolmogorov statistics," /. Amer. Statist. Assoc. 51, 111-121. Reviews: MR (1956) 984, 177

MILLS

QCAS (1956) 397, Math. Tables Aids Comput. (1957) 31. Users: Savage (1957a), Nisselson and Woolsey (1959), Quandi (1960). EP Mills, Clarence Α., and Marjorie Mills Porter (1957), "Tobacco smoking, motor exhaust fumes, and general air pollution in relation to lung cancer incidence," Cancer Research 17, 981-990. Note: Contingency tables. O Mine (Kazami), Akiko (1954), "ω2 test in stationary stochastic process," Proceedings of the Institute of Statistical Mathematics 2, 43-47. Japanese; English abstract. / von Mises, R. (1931a), "Über einige Abschätzungen von Erwartungswerten," Journal für die Reine und Angewandte Mathematik 165, 184-193. C von Mises, R. (1931b), Wahrscheinlichkeitsrechnung und ihre Anwendung in der Statisti^ und theoretischen Physi\, F. Deuticke, Leipzig and Vienna, 574. Users: Steilensen (1932), Neyman (1937), Smirnov (1937), Wald (1939), C. C. Craig (1942), Gumbel (1942), Smirnov (1944), Bignardi (1947a), Mises (1947), Feller (1948), Herdan (1949), Good (1950), Herdan (1950), Dantzig (1951b), Lehmann (1951), Anderson and Darling (1952), Cochran (1952), Juvancz and Lipták (1952), Barton (1953), Herdan (1953), Kendall and Sundrum (1953), Maguire, Pearson, and Wynn (1953), Mulholland (1953). Note: Not seen. Reprinted Mary Rosenberg, New York (1945). E von Mises, R. (1936), "La distribution de la plus grande de η valeurs," Revue Mathématique de l'Union lnterbal\anique 1, 1-20. Users: Gnedenko (1943), Gumbel (1944), Wilks (1948), Juncosa (1949), Gumbel and Keeney (1950b), Gumbel (1953b, 1954a), Dronkers (1958), Kendall (1958), Kendall and Stuart (1958), Gefíroy (1959). Note: Not seen. LN von Mises, R. (1938), "Sur une inégalité pour les moments d'une distribution quasi-convexe," Bulletin des Sciences Mathématiques (2) 62, 68-71. User: Godwin (1955). C von Mises, R. (1939a), "An inequality for the moments of a discontinuous distribution," S\andinavis\ A\tuarietids\rift 22, 32-36. Review: MR (1940) 22. User: Kendall (1948). Χ von Mises, R. (1939b), "The limits of a distribution function if two expected values are given," Ann. Math. Statist. 10, 99-104. Users: Kendall (1948), Godwin (1955). C von Mises, R. (1947), "On the asymptotic distribution of difïerentiable statistical functions," Ann. Math. Statist. 18, 309-348. Review: MR (1948) 194. Users: Hoefïding (1948a, 1948b), Ghosh (1954), Féron (1956), Chernoff and Savage (1958). EN Mitra, Sujit Kumar (1958), "On the limiting power function of the 178

MOOD

frequency chi-square test," Ann. Math. Statist. 29, 1221-1233. Reviews: IJA (1959) 234, MR (1960) 320. User: Harkness (1960). EFN Moeller, George, and Mortimer Applezweig (1957), "A motivational factor in conformity," Journal of Abnormal and Social Psychology 55, 114-120. Note: Contingency tables. O Montgomery, Victor E. (1953), "Transfer of training in motor learning as a function of distribution of practice," Journal of Experimental Psychology 46, 440-444. Note: "A further analysis was made by comparing all nine subgroups by nonparametric analysis of variance, a test which does not depend on homogeneity of variance." (p. 442). O Mood, Alexander M. (1940), "The distribution theory of runs," Ann. Math. Statist. 11, 367-392. Review: MR (1941) 228. Users: Mosteller (1941), Wallis and Moore (1941a), Baker and Guibert (1942), C. C. Craig (1942), Dodd (1942), Wolfowitz (1942), Gage (1943), Wilks (1943), Wolfowitz (1943), Casanova (1944), Kaplanksy and Riordan (1945), Moran (1947a), Kendall (1948), Krishna Iyer (1948), Wilks (1948), Wolfowitz (1949), Feller (1950), Bennett (1951), Krishna Iyer (1951, 1951b), Β. V. Sukhatme (1951), Haid (1952), Kruskal and Wallis (1952), Levene (1952), Ramachandran (1952), Wallis (1952) Ramachandran and Ranganathan (1953), Weiler (1953), Bennett and Franklin (1954), Hiraga, Morimura, and Watanabe (1954), Krishna Iyer and Singh (1955), Barton and David (1957), Dawson and Good (1957), Dixon and Massey (1957), Feller (1957), Fraser (1957), Kuipers (1957), Savage (1957a), Goodman (1958), Morice (1958), Olmstead (1958), Wilks (1959), Dale (1960), S. Sukhatme (1960b). Ν Mood, Alexander M. (1941), "On the joint distribution of the medians in samples from a multivariate population," Ann. Math. Statist. 12, 268— 278. Review: MR (1942) 172. Users: Wilks (1948), Siddiqui (1960). LN Mood, Alexander M. (1949), "Tests of independence in contingency tables as unconditional tests," Ann. Math. Statist. 20, 114-116. Review: MR (1949) 466. Η Mood, Alexander M. (1950), Introduction to the Theory of Statistics, McGraw-Hill, New York, xiii, 433. Reviews: MR (1950) 445, Industrial Quality Control (1950) ( 1 ) , 43. Users: 75 users have been recorded. Note: See Ch. 16. GJN Mood, Alexander M. (1954), "On the asymptotic efficiency of certain nonparametric two-sample tests," Ann. Math. Statist. 25, 514-522. Review: MR (1955) 154. Users: Andrews (1954), Dixon (1954), Krishna Iyer and Singh (1955), Munter (1955), Stoker (1955), Bradley (1956a), F. N. David (1956), Dwass (1956), Hodges and Lehmann (1956), Moses (1956), Munter (1956, 1956a), Snedecor (1956), Barton (1957a), 179

MOONAN Cooper (1957), Konijn (1957), Savage (1957a), B. Sukhatme (1957), Barton and David (1958), Krishna Iyer (1958), Noether (1958), Β. V. Sukhatme (1958, 1958a), Capon (1959), Wilks (1959), Ansari and Bradley (1960), Barton, David, and Fix (1960), Siegel and Tukey (1960), Β. V. Sukhatme (1960), S. Sukhatme (1960), Tamura (1960). G Moonan, W. J. (1957), "Computational illustrations of the internal and external consistency analysis of examination responses," Journal of Experimental Education 25,181-190. O Moore, Geoffrey H. (1958), "Measuring recessions," /. Amer. Statist. Assoc. 53,259-316. O Moore, Geoffrey H., and W. A. Wallis (1943), "Time series significance tests based on signs of differences," J. Amer. Statist. Assoc. 38, 153-164. Review: MR (1943) 281. Users: Mann (1945), D. G. Chapman (1952), Krishna Iyer (1952a), Levene (1952), Oakland (1952), Stuart (1952), Wallis (1952), Foster and Stuart (1954), Pike, et al. (1954), Stuart (1954b), Sundrum (1954), Munter (1956), Fraser (1957), Savage (1957a), Morice (1958), Sobel and Huyett (1958), Singh (1958), Goodman and Grunfeld (1961). INP Moore, P. G. (1949), "A test for randomness in a sequence of two alternatives involving a 2 X 2 table," Biometrica 36, 305-316. Review: MR (1950) 447. Users: Bross and Delaney (1952), P. G. Moore (1953), Munter (1955, 1956), Kuipers (1957), Harkness (1959), Billingsley (1961). IN Moore, P. G. (1953), "A sequential test for randomness," Biometrica 40, 111-115. Reviews: MR (1953) 1104, J. Amer. Statist. Assoc. (1954) 375. User: Goodman (1958). 7 Moore, P. G. (1958), "Some properties of runs in quality control procedures," Biometrica 45, 89-95. Review: QCAS (1959) 1. User: Page (1961). O Moran, P. A. P. (1947a), "Random associations on a lattice," Proceedings of the Cambridge Philosophical Society 43, 321-328. Review: MR (1947) 592. Users: Moran (1948c), Krishna Iyer (1950a), Kuipers (1957), Eeden and Bloemena (1959), Bloemena (1960). IN Moran, P. A. P. (1947b), "On the method of paired comparisons," Biometrica 34, 363-365. Review: MR (1948) 363. Users: Moran (1950a), Kendall (1955b). MN Moran, P. A. P. (1947c), "The random division of an interval," J. Roy. Statist. Soc. (B) 9, 92-98. Review: MR (1948) 291. Users: B. Kimball (1950), Sherman (1950), Moran (1951a), Domb (1952), Gardner (1952), Z. W. Birnbaum (1953a), Darling (1953), Kendall and Sundrum (1953), 180

MORICE

Moran (1953), Barton and David (1956b), Chapman (1957, 1958), Ishii (1958), Weiss (1958). Ν Moran, P. A. P. (1948a), "Rank correlation and permutation distributions," Proceedings of the Cambridge Philosophical Society 44, 142-144. Review: MR (1948) 263. Users: Hartley (1948), Hammersley (1952), Kendall (1955b). JN Moran, P. A. P. (1948b), "Rank correlation and product-moment correlation," Biometrica 35, 203-206. Review: MR (1948) 601. Users: Kendall (1949), Moran (1950a), Durbin and Stuart (1951), Kendall (1955b), McFadden (1955), Fieller, et al. (1957). JP Moran, P. A. P. (1948c), "The interpretation of statistical maps," J. Roy. Statist Soc. (Β) 10, 243-251. Review: MR (1949) 550. Users: Krishna Iyer (1950a, 1952b), Freeman (1953), Eeden and Bloemena (1959), Bloemena (1960). IN Moran, P. A. P. (1950a), "Recent developments in ranking theory," J. Roy. Statist. Soc. (B) 12, 153-162. Review: MR (1951) 725. Users: David, Kendall, and Stuart (1951), Quenouille (1952), Sundrum (1953b), Jonckheere (1954), Kendall (1955b), Fieller, et al. (1957), Mallows (1957), Lehmann (1959), Somers (1959), Ura (1960b). AJ Moran, P. A. P. (1950b), "A curvilinear ranking test," /. Roy. Statist. Soc. (Β) 12, 292-295. Review: MR (1951) 841. User: Kendall (1955b). JNP Moran, P. A. P. (1951a), "The random division of an interval, II," /. Roy. Statist. Soc. (Β) 13, 147-150. Review: MR (1952) 667. Users: Moran (1953), Cox (1955), Epstein (1960). IN Moran, P. A. P. (1951b), "Partial and multiple rank correlation," Biometrica 38, 26-32. Review: MR (1952) 141. Users: Quenouille (1952), Stuart (1954b, 1954d), SchaefEer and Levitt (1956), Mallows (1957), Goodman (1959a). JNP Moran, P. A. P. (1953), "The random division of an interval, III," J. Roy. Statist. Soc. ( B ) 15, 77-80. Reviews: /. Amer. Statist. Assoc. (1954) 644, MR (1954) 237. Ν Mordell, L. J. (1958), "On the evaluation of some multiple series," Journal of the London Mathematical Society 33, 368-371. Review: MR (1959) 1088. Ν Morgenstern, Dietrich (1958), "Elementarer Beweis für die asymptotische X2-Verteilung," Metrica 1, 239-241. German. User: Rybarz (1959). E Morice, E. (1956), "Quelques tests non-paramétriques," Revue de Statistique Appliquée 4 (4), 75-107. User: Kuipers (1957). A Morice, E. (1958), "Quelques tests non paramétriques," Journal de la 181

MORICE

Société de Statistique de Paris 99 {10-12), 254-284. Review: If A (1959) 72. A Morice, E., and F. Chartier (1955), Méthode Statistique, Institut National de la Statistique et des Études Economiques, Presses Universitaires de France, 188 (Vol. I), 556 (Vol. II). User: Morice (1958). Note: Not seen. A Moriguti, Sigeiti (1951), "Extremal properties of extreme value distributions," Ann. Math. Statist. 22, 523-536. Reviews: MR (1952) 570, Math. Tables Aids Comput. (1952) 155. Users: A. I. Johnson (1953), Moriguti (1953), Gumbel (1954), Hartley and David (1954), Rustagi (1957), Kendall (1958), Kendall and Stuart (1958). KLNP Moriguti, Sigeiti, "Bounds for second moments of the sample range." Abstract: Ann. Math. Statist. (1952) 475. L Moriguti, Sigeiti (1952a), "A lower bound for a probability moment of any absolutely continuous distribution with finite variance," Ann. Math. Statist. 23, 286-289. Reviews: MR (1952) 853, Math. Tables Aids Comput. (1953) 26. User: Trybula (1959). PX Moriguti, Sigeiti (1953), "A modification of Schwarz's inequality with applications to distributions," Ann. Math. Statist. 24, 107-113. PX Moroney, M. J. (1951), Facts from Figures, Pelican Book A-236, Penguin Book Corp., Baltimore, Maryland, 472. Review: Applied Statistics (1952) 80. Users: Mandel and Linnig (1956), Dixon and Massey (1957), Tate and Clelland (1957), Freund and Williams (1958), Jessee (1958), Freund (1960). Note: See Chs. 15 and 18. EGH] Morris, R. E., and Cyril Burt (1953), "The relative merits of ranks and paired comparisons," British Journal of Statistical Psychology 6, 112-119. Users: Stuart (1954d), Seely and Burt (1956). A Moses, Lincoln E. (1952a), "Non-parametric statistics for psychological research," Psychological Bulletin 49, 122-143. Users: McNemar (1949), Bindru and Cameron (1953), Moses (1953), Mosteller (1953), Goodman (1954b), Scheible and Underwood (1954), Chapín (1955), Glanville and Antonitis (1955), Katz and Calvin (1955), Kidd and Campbell (1955), Ingham (1955), Manis (1955), McCullough (1955), Underwood and Richardson (1955), Weiss, Coleman, and Green (1955), Lamke (1955), Guilford (1956), Tannenbaum (1956), Dixon and Massey (1957), Savage (1957a), Siegel (1957), Tate and Clelland (1957), Flavell, et al. (1958), Savage (1958), Sawrey (1958), Lewis and Kanarefï (1959). AO Moses, Lincoln E., "General view of non-parametric methods with special emphasis on randomization tests." Abstract: /. Amer. Statist. Assoc. (1953) 631. A Moses, Lincoln E. (1953), "Non-parametric methods," Chapter 18 of 182

MOSTELLER

Statistical Inference by Walker and Lev, Henry Holt, New York, 426450. Users: Kruskal (in 1958 review of Tate and Clelland (1957)). AP Moses, Lincoln E., "Some useful non-parametric techniques." Abstract: Biometrics (1956) 537-538. G Moses, Lincoln E. (1956b), "Statistical theory and research design," Annual Review of Psychology 7, 233-258. User: Suppes and Walsh (1957). A Moses, Lincoln E. (1956c), "Some theoretical aspects of the lot plot sampling inspection plan," /. Amer. Statist. Assoc. 51, 84-107. Review: IJA-1 (1957) 1176. O Moshman, Jack (1951), "Hemotological effects of chronic low-level irradiation," Journal of Applied Physiology 4, 145-155. Note: Contingency tables, sign test, run test. O Moshman, Jack (1952), "Testing a straggler mean in a two-way classification using the range," Ann. Math. Statist. 23, 126-132. LP Mosteller, Frederick (1941), "Note on an application of runs to quality control charts," Ann. Math. Statist. 12, 228-232. Review: MR (1942) 10. Users: Campbell (1942), Schefïé (1943b), Wilks (1943), Wolfowitz (1943), Bateman (1948), Wilks (1948), Krishna Iyer (1949-50), Moore (1949), Wolfowitz (1949), Bennett (1951), Moshman (1951), Β. V. Sukhatme (1951), Freund (1952), Haid (1952), Olmstead (1952), Weiler (1953), Bennett and Franklin (1954), Pike, et al. (1954), Tate and Clelland (1957), P. G. Moore (1958), Morice (1958), Olmstead (1958). AINOP Mosteller, Frederick (1946), "On some useful 'inefficient' statistics," Ann. Math. Statist. 17, 377-408. Review: MR (1947) 477. Users: Hastings, et al. (1947), Wilks (1948), Godwin (1949a), Blomqvist (1950), Homma (1951), Ogawa (1951), Sillitto (1951), Spurr (1951), Kono (1952), Tippett (1952), Cadwell (1953), H. L. Jones (1953), Walker and Lev (1953), Hammersley and Morton (1954), Lamke (1955), Elteto (1956), Kozelka (1956), Chu (1957), Dixon and Massey (1957), Tate and Clelland (1957), Blom (1958), H. A. David (1958a), Bose and Gupta (1959), Harter (1959), McElrath and Berman (1959). LNP Mosteller, Frederick (1947), "Equality of margins," Amerian Statistician 1 (2), 12. Users: Cochran (1950), MacKinnon (1959). Note: Uses runs. / Mosteller, Frederick (1948), "A ^-sample slippage test for an extreme population," Ann. Math. Statist. 19, 58-65. Review: MR (1948) 454. Users: Wilks (1948), Mosteller and Tukey (1950), Kruskal and Wallis (1952), Munter (1953b), Bechhofer (1954), Epstein (1954), Munter (1955), Paulson (1956), Doornbos and Prins (1958), Bhapkar (1959), Bose and Gupta (1959), Karlin and Truax (1959), Pfanzagl (1959), 183

MOSTELLER

Tukey (1959a), Walter (1959b), Karlin and Truax (1960), Paulson (1961). GNP Mosteller, Frederick (1951a, b, c), "Remarks on the method of paired comparisons, I. The least squares solution assuming equal standard deviations, and equal correlations, II. The effect of an aberrant standard deviation when equal standard deviations and equal correlations are assumed, III. A test of significance for paired comparisons when equal standard deviations and equal correlations are assumed," Psychometri\a 16, 3-9, 203206, 207-218. Users: R. A. Bradley (1952, 1952a), L. L. Davis (1952), McNemar (1952), Schefïé (1952), Terry (1952, 1952a), R. A. Bradley (1953c), Bliss, Greenwood, and McKendrick (1953), Bradley and Somerville (1953), R. A. Bradley (1955a), Bliss, Greenwood, and White (1956), Gulliksen (1956), Cusimano (1957), Jackson and Fleckenstein (1957), Adams and Messick (1958), Brunk (1958), H. A. David (1959), Starks (1959), Block and Marschak (1960), Bradley and Pendergrass (1960), Brunk (1960a), David (1960), Glenn (I960), Noether (1960), Slater (I960). M Mosteller, Frederick (1953), "Statistical theory and research design," Annual Review of Psychology 4, 407-434. A Mosteller, Frederick (1958), "The mystery of the missing corpus," Psychometrica 23, 279-289. User: Noether (1960). O Mosteller, Frederick, and Robert R. Bush (1954), "Selected quantative techniques," Chapter 8 of Handboo\ of Social Psychology (Gardner Lindsey, ed.), Addison-Wesley, Cambridge, Massachusetts, 289-344. Review: Psychological Bulletin (1955) 346-353. Users: Goodnow and Pettigrew (1955), Goodnow and Postman (1955), Bush and Wilson (1956), Goodnow and Pettigrew (1956), Moses (1956), Wallis (1956), Siegel (1957), Suppes and Walsh (1957), Tate and Clelland (1957), Sawrey (1958), Senders (1958), Diamond (1959), Zellen and Joel (1959), Naroll (1961). A Mosteller, Frederick, and J. W. Tukey (1949), "The uses and usefulness of binomial probability paper," /. Amer. Statist. Assoc. 44, 172-212. Users: Duncan (1948), Mosteller and Tukey (1949a), Masuyama (1951), Mosteller (1951c), E. S. Smith (1953), Blom (1954), Goodnow and Pettigrew (1955), Lamke (1955), Goodnow and Pettigrew (1956), Raff (1956), Osgood (1958). NX Mosteller, Frederick, and J. W. Tukey (1949a), "Practical applications of new theory, A review. Part II. Counted data—graphical methods," Industrial Quality Control 6 (3), 5-7. AO Mosteller, Frederick, and J. W . Tukey (1950), "Significance levels for a ^-sample slippage test," Ann. Math. Statist. 21, 120-123. Review: MR (1950) 608. Users: Epstein (1954), Doornbos and Prins (1958), Savage 184

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(1958), Pfanzagl (1959), Tukey (1959a), Walter (1959b). GNP Mote, V. L., M. V. Pavate, and R. L. Anderson, "Some studies in the analysis of categorical data." Abstract: Biometrics (1958) 572. E Motoo, Minoru (1957), "On the Hoefïding's combinatorial central limit theorem," Annals of the Institute of Statistical Mathematics 8, 145-154. Review: MR (1958) 694. User: Cox (1958). Ν Mühsam, Η. V. (1954), "A probability approach to ties in rank correlation," Bulletin of the Research Council of Israel 3, 321-327. User: Kendall (1955b). JN Mulholland, H . P. (1953), "An inequality related to the central limit theorem on probabilities," fournal of the London Mathematical Society 28, 360-369. Review: MR (1953) 993. Ν Mullemeister, Hermanee (1945), "Mean lengths of line segments," American Mathematical Monthly 52, 250-252. Review: MR (1948) 232. Ν Munday-Casde, A. C., and B. L. McKiver (1953), "The psycho-physiological significance of the galvanic skin response," fournal of Experimental Psychology 46, 15-24. Note: Kendall's τ. O de Munter, Paul (1952), "Application de méthodes statistiques paramétriques et non-paramétriques à quelques problèmes de climatologie," Bulletin de l'Institut Agronomique et des Stations de Recherches de Gembloux 20, 373-383. Note: Not seen. O de Munter, Paul (1953a), "Relations entre proteines et matières grasses du lait," Bulletin de l'Institut Agronomique et des Stations de Recherches de Gembloux 21 (Nos. 1-2), 29-36. Note: See pp. 33-34. O de Munter, Paul (1953b), "Tests non-paramétriques," Bulletin de la Société Belge de Statistique 2, 38-48. A de Munter, Paul (1954), "Comparaison d'un ou de plusieurs échantillons de référence," Bulletin de l'Institut Agronomique et des Stations de Recherches de Gembloux 22, 224-231. Abstract: Proceedings of the International Mathematics Congress (Amsterdam) (1954) 298. G de Munter, Paul (1954a), "Consistance de tests non-paramétriques pour la comparaison d'échantillons," Académie Royale de Belgique. Bulletin de la Classe des Sciences 40, 1106-1119. Users: Munter (1956), Kiefer (1959). G de Munter, Paul (1954b), "Tests non-paramétriques et analyse factorielle," Bulletin de la Société Belge de Statistique 3, 24-30. Note: Not seen. G de Munter, Paul (1955), Étude sur l'Efficacité de Certains Tests Nonparamétriques, 169 (unnumbered), thesis awarded Prix Scientifique Interfacultaire Louis Empain, 1957. BGI de Munter, Paul (1956), "Fonction de puissance de certains tests du caractère aleatoire d'un échantillon," Académie Royale de Belgique. 185

MUNTER

Bulletin de la Classe des Sciences 42, 291-312. French. Review: MR (1956) 1220. User: Munter (1956a). IP de Munter, Paul (1956a), "Sur différentes méthodes pour comparer les fonctions de puissance de tests statistiques," Académie Royale de Belgique. Bulletin de la Classe des Sciences 42, 1159-1177. French. Review: MR (1957) 956. Β de Munter, Paul (1957), "Efficacités du test de Brown-Mood relatif à la régression," Académie Royale de Belgique. Bulletin de la Classe des Sciences 43, 838-846. Review: MR (1959) 230. Note: Not seen. G Münzner, Hans (1935), "Über Verschärfungen der Tchebyschefïschen Ungleichung," S\andinavis\ A\tuarietids\rift 18, 279. User: Münzner (1950). C Münzner, Hans (1950), "Zur Abschätzung von Wahrscheinlichkeiten," Mitteilungsblatt für Mathematische Statisti\ 2, 130-137. Review: MR (1951) 424. C Murphy, R. B. (1948), "Non-parametric tolerance limits," Ann. Math. Statist. 19, 581-589. Review: MR (1949) 404. Users: Moses (1952), Fraser (1953a), Lamke (1955), Dixon and Massey (1957), Fraser (1957), Somerville (1958), Severo, et al. (1959), Wilks (1959). DP Murthy, V. K., "On the distribution of the sum of circular serial correlation coefficients and the effect of non-normality on its distribution." Abstract: Ann. Math. Statist. (1960) 239-240. Κ Myers, Jerome L. (1958), "The effects of delay of reinforcement upon an operant discrimination in the pigeon," Journal of Experimental Psychology 55, 363-368. Note: Runs and Wilcoxon tests. O Myers, Jerome L. (1958a), "Exact probability treatments of factorial designs," Psychological Bulletin 55, 59-61. HN Nair, A. N. Krishnan (1941), "Distribution of Student's " t " and the correlation coefficient in samples from non-normal populations," San\hyä 5, 383-400. Review: MR (1943) 164. Users: Gayen (1949), J. V. Bradley (1959b). GK Nair, A. N. Krishnan (1942), "On the probability of obtaining \ sets of consecutive successes in η trials," Mathematics Student 10, 83-84. Review: MR (1943) 248. Ν Nair, K. R. (1937), " A note on the exact distribution of λ„," San\hyâ 3, 171-174. User: Κ. R. Nair (1938). EN Nair, Κ. R. (1938), "On Tippett's random sampling numbers," San\hyä 4, 65-72. IO Nair, Κ. R. (1940a), "The median in tests by randomization," San\hyä 4, 543-550. Review: MR (1943) 108. Users: Walsh (1959, 1960a). GN Nair, Κ. R. (1940b), "Table of confidence interval for the median in samples from any continuous population," San\hy5 4, 551-558. Review: 186

NEFZGER

MR (1943) 165. Users: Noether (1949b), Woodruff (1952), Armitage (1953), R. A. Bradley (1955c), Lamke (1955), Dixon and Massey (1957). GNP Nair, K. R. (1948a), "The Studentized form of the extreme mean square test in the analysis of variance," Biometrica 35, 16-31. Review: MR (1948) 601. User: Wallace (1958). GLNP Nair, K. R. (1948b), "The distribution of the extreme deviate from the sample mean and its Studentized form," Biometrica 35, 118-144. Review: MR (1948) 602. Users: K. R. Nair (1948a), Godwin (1949a), Tukey (1949), Moshman (1952), K. R. Nair (1952), Wallace (1958), Bose and Gupta (1959). LNP Nair, K. R. (1950), "Efficiencies of certain linear systematic statistics for estimating dispersion from normal samples," Biometrica 31, 182-183. Review: MR (1951) 116. Users: Sillitto (1951), Cadwell (1953), H. L. Jones (1953), H. A. David (1958), Harter (1959). Κ Nair, K. R. (1952), "Tables of percentage points of the "Studentized" extreme deviate from the sample mean," Biometri\a 39, 189-191. Reviews: MR (1952) 961, Math. Tables Aids Comput. (1954) 84. LP Nair, K. R., and K. S. Banerjee (1942), "A note on fitting of straight lines if both variables are subject to error," San\hyä 6, 331. Review: MR (1944) 126. Users: Bartlett (1949), Theil (1950a), Neyman and Scott (1951), Theil (1951), Quenouille (1952), Theil and Yzeren (1956), Madansky (1959). / Nair, K. R., and M. P. Shrivastava (1942), "On a simple method of curve fitting," San\hyä 6, 121-132. Review: MR (1943) 279. Users: Nair and Banerjee (1942), Mosteller (1946), Bartlett (1949), Theil (1951), Theil and Yzeren (1956), Madansky (1959). /L Naroll, Raoul (1961), "Two solutions to Galton's paradox," Philosophy of Science 28, 15-39. Note: Tests of randomness. O Narumi, Seimatsu (1923), "On further inequalities with possible application to problems in the theory of probability," Biometrica 15, 245-253. Users: Camp (1923), Shohat (1929), C. D. Smith (1930), Leser (1942), Godwin (1955), C. D. Smith (1955). AC Nash, Stanley W. (1954), "An extension of the Borel-Cantelli lemma," Ann. Math. Statist. 25, 165-167. Ν Nass, C. A. G. (1959), "The x 2 test for small expectations in contingency tables, with special reference to accidents and absenteeism," BiometriCa 46, 365-385. Reviews: 1JA (1960) 437, QCAS (1960) 367. FHO Natrella, Mary G. (1954), Critical Values for Wilcoxon Ran{ Su m Test, SEL Note 54-14, Statistical Engineering Laboratory, National Bureau of Standards, Washington, D.C., 6. Ρ Nefzger, M. D., and James Drasgow (1957), "The needless assumption of normality in Pearson's r," American Psychologist 12, 623-625. / 187

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Nelson, Ross T . (1959), An Empirical Study of Arrival, Service Time, and Waiting Time Distributions of a fob Shop Production Process, Research Report No. 60, Management Sciences Research Project, University of California, Los Angeles. Note: Several tests of randomness. O Neurdenburg, M. G. (1958), "The need of simplified and/or adapted statistical methods in public health administration (life table procedure and rank correlation as examples), 31st Session of the International Statistical Institute in Brussels, 1-7. English; French summary. OP Newcomb, Theodore M. (1961), The Acquaintance Process, Holt, Rinehart, and Winston, New York, xv, 303. Note: See Appendices IV and V. Extensive use of ranks in scaling. O Neyman, J. (1935), "La vérification de l'hypothèse concernant la loi de probabilité d'une variable aléatoire," Comptes Rendus (Paris) 203, 1047-1049. EN Neyman, J. (1937), '"Smooth test' for goodness of fit," S\andinavis\ A\tuarietids\rìft 20, 149-199. Users: E. S. Pearson (1938a), F. N. David (1939), C. C. Craig (1942), Gumbel (1942), Neyman (1942), Wallis (1942), Cramer (1946), F. N. David (1947a), Kimball (1947), David and Johnson (1948), Kendall (1948), Cochran (1952), Barton (1953), Kendall and Sundrum (1953), Barton (1955), Neyman (1955), Barton (1956a), Baker (1958), Fix, Hodges, and Lehmann (1959), G. S. Watson (1959). EN Neyman, J., "Empirical comparison of the 'smooth' test for goodness of fit with the Pearson's χ 2 test." Abstract: Ann. Math. Statist. (1940) 478. E Neyman, J. (1942), "Basic ideas and some recent results of the theory of testing statistical hypotheses," J. Roy. Statist. Soc. (A) 105, 292-327. Review: MR (1944) 44. Users: Scheffé (1943a, 1943b), Hemelrijk (1950c), Lehmann (1950a), Vaart (1950). Note: See Sees. 20 and 21. Β Neyman, J. (1949), "Contribution to the theory of the χ 2 test," Proceedings of the Berkeley Symposium on Mathematical Statistics and Probability, University of California Press, Berkeley, 239-273. Review: MR (1949) 388. Users: Reiers0l (1944), F. N. David (1950b), Lehmann (1950), Bates and Neyman (1951), Cochran (1952), Sverdrup (1952), Chernofif and Lehmann (1954), Hodges and Lehmann (1954), Matusita (1954a), Reiers0l (1954), Bush and Mosteller (1955), Jung (1955), A. R. Roy (1956), Roy and Kastenbaum (1956), Roy and Mitra (1956), S. Ν. Roy (1957), T . Ferguson (1958), Mitra (1958), Bhapkar (1959), Fix, Hodges, and Lehmann (1959), Lehmann (1959), Bahadur (1960b), Bhapkar (1961). EG 188

NIMEROFF

Neyman, J. (1951), "Existence of consistent estimates of the directional parameter in a linear structural relation between two variables," Ann. Math. Statist. 22, 497-512. Review: MR (1952) 481. Users: Wolfowitz (1954b), Kiefer and Wolfowitz (1956), Stein (1956), Madansky (1959). 1 Neyman, ]. (1954), "Probabilistic theory of clustering of galaxies with particular reference to the hypothesis of an expanding universe," Proceedings of the International Congress of Mathematicians (Amsterdam) 2, 298-299. O Neyman, J. (1955), "The problem of inductive inference," Transactions of the Symposium on Computing, Mechanics, Statistics and Partial Differential Equations held at the University of Chicago, April 29-30, 1954. The second symposium on applied mathematics sponsored by the American Mathematical Society and Office of Ordnance Research, U.S. Army, 13-45. User: Steele (1957). Note: See pp. 32-33, and Sec. 14. A Neyman, J., and E. S. Pearson (1928), "On the use and interpretation of certain test criteria for purposes of statistical inference, Part II," Biometrica 20A, 263-294. Users: Kondo (1929), Rider (1929), Neyman and Pearson (1930), Pearson and Pearson (1931), Deming (1934), O. N. Anderson (1935), Wilks (1935), El Shanawany (1936), Cochran (1937a), Haldane (1937), Gumbel (1942), Neyman (1942), Rajalkshma (1943), F. N. David (1947a), E. S. Pearson (1947), F. N. David (1948), K. R. Nair (1948a), Gayen (1949), Lancaster (1949a), Neyman (1949), Lehmann (1950a), Vaart (1950), Bradley and Terry (1951a), Goodman (1952), Levene (1952), Lloyd (1952), Box (1953), Watson (1957a), Woolf (1957), Lipták (1958), Watson (1958), Capon (1959), Chakravarti and Rao (1959), Schmetterer (1959). EFH Neyman, J., and E. S. Pearson (1930), "Further notes on the χ 2 distribution," Biometrica 22, 298-305. Users: Ο. N. Anderson (1935), Cochran (1937a), Gumbel (1943), Kendall (1948), Cochran (1952), Lancaster (1952), Walker and Lev (1953), Cochran (1954), Watson (1957a), J. V. Bradley (1959b). EP Neyman, J., and E. L. Scott (1951), "On certain methods of estimating the linear structural relation," Ann. Math. Statist. 22, 352-361. Errata: Ibid. (1952) 135. Review: MR (1952) 259. Users: Neyman (1951), Theil (1951), Wolfowitz (1952), Hudimoto (1956), Kiefer and Wolfowitz (1956), Madansky (1959). / Nievergelt, E. (1957), "Die Rang-Korrelation," Mitteilungsblatt für Mathematische Statisti\ 9, 196-232. Review: Math. Tables Aids Comput. (1960) 295. Note: Not seen. / Nimerofï, Isadore (1952), "Analysis of goniophotometric reflection curves," 189

NIMEROFF

journal of Research of the National Bureau of Standards 48, 441-448. Note: Spearman's p. fO Nimeroff, Isadora (1957), "Two-parameter gloss methods," Journal of Research of the National Bureau of Standards 58, 127-135. Note: See Sec. 2.1—Friedman analysis of variance. O Nisselson, Harold, and Theodore D. Woolsey (1959), "Some problems of the household interview design for the national health survey," /. Amer. Statist. Assoc. 54, 69-87. Note: Kolmogorov-Smirnov statistic used on pp. 75-77. O Noble, Clyde E. (1952), "The role of stimulus meaning ( m ) in serial verbal learning," Journal of Experimental Psychology 43, 437-446. Users: Noble (1955a, 1955b). O Noble, Clyde E. (1955a), "Compound trial-and-error learning as a function of response availability (Nr)," Journal of Experimental Psychology 49, 93-96. Users: Friedman (1937), Noble (1955b, 1957). O Noble, Clyde E. (1955b), "The effect of familiarization upon serial verbal learning," Journal of Experimental Psychology 49, 333-338. User: Friedman (1937). O Noble, Clyde E. (1957), "Supplementary report: response availability in human trial-and-error learning," Journal of Experimental Psychology 53, 359-360. User: Friedman (1938). O Noether, Gottfried E. (1948), "On confidence limits for quantiles," Ann. Math. Statist. 19, 416-419. Review: MR (1949) 135. User: Noether (1951). G Noether, Gottfried E. (1949a), "On a theorem by Wald and Wolfowitz," Ann. Math. Statist. 20, 455-458. Review: MR (1950) 188. Users: Noether (1950), Hoefíding (1951, 1951b, 1952), Terry (1952), Dwass (1953), Silvey (1953), Stoker (1954), Eeden and Hemelrijk (1955), Stoker (1955), Fraser (1956), Walter (1956), Dwass (1957a), Fraser (1957), Motoo (1957), Chernoff and Teicher (1958). BN Noether, Gottfried E. (1949b), "Confidence limits in the non-parametric case," /. Amer. Statist. Assoc. 44, 89-100. User: Chapin (1955). G Noether, Gottfried E. (1950), "Asymptotic properties of the Wald-Wolfowitz test of randomness," Ann. Math. Statist. 21, 231-246. Review: MR (1950) 732. Users: Hoefíding (1952), Wolfowitz (1952), Andrews (1954), Dantzig and Hemelrijk (1954), Ghosh (1954), Hoeffding (1954), Mood (1954), Stuart (1954b), Hoeffding and Rosenblatt (1955), Munter (1955), Noether (1955), Putter (1955b), Konijn (1956), Munter (1956), Β. Sukhatme (1957), Capon (1959, 1960). BIN Noether, Gottfried E. (1951), "On a connection between confidence and tolerance intervals," Ann. Math. Statist. 22, 603-604. Review: MR (1952) 667. DG 190

OFFORD

Noether, Gottfried E., "Comparison of two rank order tests for the twosample problem." Abstract: Ann. Math. Statist. (1953) 689. G Noether, Gottfried E. (1955), "On a theorem of Pitman," Ann. Math. Statist. 26, 64-68. Review: MR (1956) 1133. Users: Hoeffding (1954), R. A. Bradley (1955a), Hoeffding and Rosenblatt (1955), Munter (1955), Dwass (1956), Hájek (1956), Hannan (1956), Hodges and Lehmann (1956), Konijn (1956), Munter (1956, 1956a), Pendergrass and Bradley (1957), Stuart (1957a), Blumen (1958), Noether (1958), Bahadur (1959), Capon (1959, 1959a), Ansari and Bradley (I960), Bahadur (1960), Capon (I960), Eiteren (1960), Wetherill (I960), Capon (1961). Β Noether, Gottfried E. (1956), "Two sequential tests against trend," /. Amer. Statist. Assoc. 51, 440-450. Abstract: Ann. Math. Statist. (1954) 176. Reviews: MR (1957) 345, Math. Tables Aids Comput. (1958) 73. Users: Cox and Stuart (1955), Romani (1956), Noether (1958). IP Noether, Gottfried E. (1958), "The efficiency of some distribution-free tests," Statistica Neerlandica 12, 63-73. English; Dutch summary. Abstract: Ann. Math. Statist. (1957) 532. Reviews: QCAS (1958) 729, MR (1959) 397. A Noether, Gottfried E. (1960), "Remarks about a paired comparison model," Psychometrika 25, 357-367. KM North, Alvin J., and Malcolm Jeeves (1956), "Interrelationships of successive and simultaneous discrimination," Journal of Experimental Psychology 51, 54-58. O Norton, D. W. (1952), An Empirical Investigation of Some Effects of Non-Normality and Heterogeneity on the F-Distribution, thesis, State University of Iowa. User: Boneau (1960). Note: Not seen. Κ Norton, H. W. (1945), "Calculation of chi-square for complex contingency tables," /. Amer. Statist. Assoc. 40, 251-258. Users: P. O. Johnson (1949), Lancaster (1951), Simpson (1951), Roy and Kastenbaum (1956), Roy and Mitra (1956), Kastenbaum and Lamphiear (1959), Kullback (1959). H Norton, H. W. (1946), "Estimating the correlation coefficient," Bulletin of the A ry eric an Meteorological Society 27, 589-590. fP Nybolle, H. C. (1936), "On the statistical distinction between sets of twodimensional observations," S\andinavis\ A\tuarietids\rift 19, 1-26. FO Oakland, G. B. (1952), "Sign and rank tests," Scientific Agriculture 32, 663-669. AO Offord, A. C. (1945), "An inequality for sums of independent random variables," Proceedings of the London Mathematical Society (2) 48, 467-477. Review: MR (1947) 281. User: Godwin (1955). C 191

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Ogawa, Junjiro (1951), "Contributions to the theory of systematic statistics, I," Osa\a Mathematical Journal 3, 175-213. Review: MR (1952) 762. LP Ogawa, Junjiro, "On the mathematical principles underlying the theory of the χ2 test." Abstract: Biometrics (1957) 417. Users: Bhapkar (1959), Diamond, Mitra, and Roy (1960). E Okamoto, Masashi (1952a), "On a non-parametric test," Osaka Mathematical Journal 4, 77-85. Review: MR (1952) 190. Users: Okamoto (1952b, 1952c, 1952d), Kitabatake (1958, 1959), Ishii (1960). EN Okamoto, Masashi (1952b), "Unbiasedness in the test of goodness of fit," Osaka Mathematical Journal 4, 211-214. Review: MR (1952) 666. Users: Walter (1956, 1958), Okamoto (1952c). E Okamoto, Masashi (1952c), "Some combinatorial tests of goodness of fit," Osal^a Mathematical Journal 4, 215-228. Review: MR (1952) 666. E Okamoto, Masashi (1953), "On the asymptotic normality of chi-square distribution," Bulletin of the Japan Statistical Society, 50-52. Japanese. Note: Not seen. Ν Okamoto, Masashi (1955), "Chi-square test of parametric fit," Osaka Tokeidanwakai, Ηο\ο\ιι 1. Japanese. Note: Not seen. Series title translates as "Osaka Statistical Society Reports." EG Okamoto, Masashi (1955a), "