Section 12,3
ft" not r-ftmiwtt NATIONAL BUREAU OF STANDARDS REPORT
1828
BIBLIOGRAPHY OF NONPARAMETRIC STATISTICS AND RELATED TOPICS
by
I* Richard Savage
U. S. DEPARTMENT OF COMMERCE
NATIONAL BUREAU OF STANDARDS U. S. DEPARTMENT OF COMMERCE Charles Sawyer, Secretary
NATIONAL BUREAU OF STANDARDS
A . Y„ Astin, Acting Director THE NATIONAL BUREAU OF STANDARDS
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BIBLIOGRAPHY OP NONPARAME TRIO STATISTICS AND RELATED TOPICS
by
I. Richard Savage
The publication, reprlntl Approved for public release by the t. Is prohibited
unless permission Is obta, Director of the National Institute of ds, Washington 25. D, C, Such permls Standards and Technology (NIST) een specifically
prepared if that agenc on October 9, 2015 or Its own use.
s
FOREWORD
Work on this ^Bibliography of Nonparame trie Statistics and Related Topics” was carried out at the National Bureau of
Standards under the general supervision of Dr. Churchill
Eisenhart, chief of' the Statistical Engineering Laboratory®
The Statistical Engineering Laboratory is Section 11 „3 of the National Applied Mathematics Laboratories (Division 11
National Bureau of Standards) and is concerned with the development and application of modern statistical methods in the physcial sciences aid engineering®
Jo Hi- Curtiss' Chiefs National Applied Mathe ma t i c s L abo r atori e
A. Vo As tin Director National Bureau of Standards
„
INTRODUCTION & k -k General Remarks I This bibliography of Nonpar ame trie
Statistics and Related Topics ff as now presented is an ex=
ploratory effort® It is hoped that the recipients of the
bibliography will take advantage of the fact that this is not
the final addition of the bibliography and will send to the
author any comments , critic isms * and corrections 0
Since the field of nonparametric statistics is a new
one It Is hard to determine precisely which subjects belong
in this field® To be on the safe side the compil@2P has in°
eluded papers when in doubt® However* basic decisions must
be made in future revisions of this bibliography and other
bibliographies of norQparame trie statistics as to the inclusion
of certain repidly developing subjects such as contingency
tables and systematic statistics from normal populations©
In fact, these two subjects have caused the most difficulty
and have received the poorest coverage in this bibliography
The Bibliography £ The bibliography proper begins on page 1
of this report® Items are arranged alphabetical^ by author e
If more than one title* appears for an author these titles
are arranged chronologically 0 And if more than one title for an author appears within a given year* the dates
corresponding to these titles are serialized by placing a
letter after the date® On the extreme left of the line
following the author's name is the date of publication of
i •
the title,, On the sane line, following the date, is the
title itself 0 At the end of the title, in the right margin,
are found annotation letters, whose specific meaning will be
explained later in this introduction. The line following the
title gives the place of publication. Following this infor~
mat ion 5 for some of the titles, there will be found sequences
of numbers of the form rs=>xyz in the right margin. The M rs u
refers to the year and the w xyz M to the page in Mathematical
Reviews where the article has been reviewed. Throughout this
introduction a. name followed by a date will refer to the
title in the bibliography published by that author in that year®
Annotation letters used in the bibliography A, B,,,, r
P, X, will now be explained and illustrated,
Ao Surveys and Discussions
These papers are expository, covering a large number of nonparame trie subjects. Typical examples are S<£heffe (1943b) and Wilks (1948)
Bs Theory
Few papers have been written on the theory of non= parametric statistics as such, but an example is the one by
Lehmann and Stein (19495a
Cs Tchebycheff Inequalities
These papers are on probability inequalities of the original Bienayme- Tchebycheff type, Frlchet (1937) presents
ii a summary of the classical results in this subject*
Ds Tolerance Sets
Tolerance sets were first described in a nonpar acne trio
manner by Wilks ( 1941)0 One of the latest papers on this
subject* Fraser (1951) $ shows quite a bit of generalization*
ES Goodness of Fit
Papers in this class are concerned with the problem of whether a set of observations comes from a given family of
w 48 distributions 0 By fit we not only mean that the parameters of the sample are compatible with those of the distributions' we are f itting but also^that the distribution functions of the sample are w close^ to that of the assumed population®
K s Pearson's (1900) paper on this subject is the classical
one 3
Ft Multi=Sample Problems
By multi-sample problems we mean specifically the test- ing of the hypothesis that several samples come from the same distribution® In a. sense we are asking do the several sample ponmulative distribution functions n fit 8! each other*
K® Pearson (1911) gives the classical paper on this subject* and a more recent approach to the problem is given by Lehmann
(1951 ) 0
Gs parameter Problems u ere we are ref^ring to problems of estimation of parameters and tests of hypotheses about parameters* although
iii ®
the functional forms of the distributions that are being
sampled are not assumed known 0 Problems of correlation an naturally fall in this class , but since there is such
extensive literature on the subject of correlation a separate of variance class ( J) has been made, Problems in the analysis
as presented by Pitman (1937c) and Brown and Mood (1951) have been included under (G) as typical examples,
H ^Contingency Tables
The theory of contingency tables as such is usually
parametric in nature 0 Contingency tables ha?«been included
in this bibliography however, because of their use in non»
parametric statistics® Mainland ( 1914- 8 ) offers many examples; of the use of contingency tables in essentially nonparametric
problems s
Is Randomness
Articles on randomness are concerned with the problem of testing the hypothesis that a set of observations could
reasonableyhave arisen from random sampling; for example 8
Fo No David (1947b)
Jo Correlation and Curve Fitting (See G)
These problems have been treated for a long time by nonparametric me thods e -^endall (1948a) gives an introduction
to this extensive subjects
Ko Comparative Studies
Papers in this subject compare the behavior of a
statistic for differing underlying sampling models® Such w questions as how the distribution of ^Student’s t depends
on the population are typical* In analysis of variance a
representative example of this type of study is F. No David
and N« L* Johnson (1951b),
Ls Systematic Statistics
The phrase n sjs tematie statistic** seems to have
originated with Mosteller (1946 ) « Th© subject/concerned
with the behavior of statistics which are linear functions
of order statistics,, On the one hand there are nonpar&me trie
papers in this subject like the one by Gumbel (19 4-^> 5 ^ and
on the other hand there are parametric papers such as Mosteller
( 1946 )®
Ms Scaling
These papers are concerned with the complex problems of
attempting to assign quantitative measurements to characteristics
that naturfelXf t occur in a qualitative form* A typical ex-
ample is Kendall (1942a.)®
Ns Distribution Theory
Many nonpar ame trie techniques require the determination
of distributions for new statistics* For example the distri- bution theory of runs has been stimulated by nonpar ame trie
methods, see Mood (194®)©
Os Applications
Very few applications of nonpar ame trie methods exist
in the literature* However a good example of application is
v s
Baker and Duilbert (194^)®
Ps Tables
For small samples many of the nonpar ame trie methods
require the construction of special tables 0 See Swed
and Eisenhart (1943)®
X s Miscellaneous
Naturally there were some papers that were felt to be nonpar ame trie in nature but yet did not fall into the
above classifications 0 See for example Tukey (194&) on median deviations,,
In summary the list of subjects with their annotation letters is as follows
A. Surveys and Discussions
B Theory
C Tchebycheff Inequalities
D Tolerance Sets
E Goodness of Pit
P Multi-Sample Problems
G -Parameter Problems
H Contingency Tables
I Randomness
J Correlation and Curve Fitting
K Comparative Studies
L Systematic Statistics' M Scaling
N Distribution Theory
0 Applications
P Tables
X Miscellaneous
Papers by Annotation Letter s Perhaps one of the main uses of this bibliography will be to aid in making
bibliographies on specialised subjects,, To facilitate this s we now give the annotation letter followed by all the title® receiving this classifications
vli A? SURVEYS AND DISCUSSIONS
Anseombe* (1948) Bradley* Duncan* (1950)
Bradley ^ Terry* (1951a) Gantelii* (1928) Dixon*, Massey, (1951 Freehet* (1937) Godwin* (1944) Haldane* (1949) Janko* (If50) Kendall* (1948a) Kolmogorov* Hincin* (1951) Lehmann* (1951) Mostelier* (19415
Narumi * (1923)
Pearson* E 0 S s * (1937) S„ Tearson* E„ a (1938b) S Pearson* E e o* (1947) Firman* (1948) Schell'/, (1943b) Wallis* (1952) Walter* (1951) Wilks* (1943) Wilks* (1948) Wolfowitz* (1.943) Wolfowitz* (1949) Wolfowitz* (1952)
B2 THEORY
Berger* (1951) Camp* (1946) Feller* (1938) Hodges* Lehman^ (1950) Hoeffding* (1948a) Hoeffding* (1950) Hoeffding* (195 lb) Lehmann* (1951) Lehmann* Stein* (1949) Levene* (1952) Madow* (1948) Neyman* (1942) Noether* (1949) Noether* £1950)
Pearson* E 0 S 0 * (1938a) Pitman* (1948) Scheffe'* (1943a) Scheff^* Tukey* (1945) Schmidt* (1934) Simpson* (1951) Wald* Wolfowitz* (1944) viii )
Walsh, (1949) Walsh, (1951)
Wolfowits, ( 19 ^4- 2 )
Cs TCHEBYCHEFF INEQUALITY
Anderson , 0«, (1935) Bernard, (19438) Bernard, (1944)
Berge , ( 1932.)
Bcrge , (1937) Berstein, (192?) Bienayine, (1&5&) Bienayme, (186?) Birnbaum, (1948) Birnbaum, h aymond, Zuckercnan, (1947) Camp, (1922) Camp, (1923) Camp, (1948) Can tell i, (1910) Cantelli, (1928) Chapelon, (1937) Craig, (1933) Cramer, (1948) Curtiss, (1950) van Dantzig, (19518) Frechet, (1937) Gauss, (1880) Godwin, (1944) Goldberg, (1922) Gutt$an, (1948a) Guttman, (1948b) Halmos, (1950) de Jongh, (1941) Kolmogoroff, (1928) Kolmogoroff, (1950) Khamis, (1950) Lesser, (194-2:) Lurquin, (1922) Markoff, (1884) Markoff, (1924) Masuyama, (1924)
Meidel , (1922) Meidel, (1923) Midzuno, (1950) von Mises, (1931) von Mises, (19398) Mtinzner, (1950) Narumi, (1923 Of ford, (1945) Pearson, K», (1919)
ix ) ) ) )
Peek, (1933). Perks, (1947 Posse, (1886) Robbins, (1948 Romanovskip (1940) Sealy, (1943) Selberg, (194°®) Selberg, (1940b)
Selberg , (1942) Shohatp Tamarkin* (1943) Smith, (193b) Tehebycheff, (186?) Tehebycheff, (i860) Theil, (1949) Uspensky, 11937)
Wald, ( 1938 ) Wald, (1939) Winsten, (1948)
Dg TOLERANCE SETS Birnbaum* ^uckerman, 4949) Fraser, (1951 Fraser, Wormleighton, (1951) G-umbel, von Schell ing, (1950) Murphy, (1948) Noether, (1951) Paulson, (1943)
Robbins, (l944a ) Scheff^, Tukey, (1944) Scheff«f, Tukey, (1945) SehUtz'enberger, (1948c) Tukey, (1947) Tukey, (1948a) Wald, (1943) Wilks, (1941) Wilks, (1942)
Eg GOODNESS OF FIT
Azorin, Wold, (1950) Berks on, (1938) Berkson, Geary, (l94l) Birnbaum, Tingey, (1951) Camp, (1938)
Carf>ll , Bennett, (1950) Chung, (1949) Cochran, (1936=37 Cochran, (1942) David, F 0 Mi, (1934)
x )
David, F „ No, (1939) David, Fo No, (1947a) David, F. Mo, (1948) David, Fo No, (1950a) David, Fo Mo, (1950b)
David, Fo No , Johnson, (194®) Doob, (1949) Eisenhart, (1937) Eisenhart, (1938) Eisenhart, Wilson, (1943) Elderton, (1902) Feller ^(1948 Fisher, (1923) Fisher, (192L.) Fisher, (1928) Fisher, (1950) Fraser-, D 0 S-„, (1950) Fry, (1938) Geary, ^194?) Gruheberg, Haldane, (193?) Gumbel, (1942) Gumbel, (1943) Haldane, (1937) Hannan, (1950) ^emelrijk, (1950a) Hemelrijk, (1950b) Hemelrijk, (1950c) Hemelrijk, (19§0d) Hoel, (1938) Kac, (1949) Kolmogorof f, (1933) Kolmogoroff, (1941' Kimball (l94?) Lesser, (1933) MaXmquist, (1950) Mann, Waid, (1942) Massey, (l950b)
Massey, ( 1950c) Massey, ( 1951 a) von Mises, (1931) Moroney, (1951) Neyman, (1930) Neyman, (1935) Neyman, (1937) Neyman, r(1940) Neyman, earson Eo S,, f (1930) 01ms te ad, (1940) Patnaik, (1949) Pearson, E 0 So, (1938a)
Pearson, K 0 , {1900) Pearson, Ko, (1922) Fearson, Ko, (1924) ) )
Pears on , (1932a)
Pearson, K» s (1933a) Pearson, K«, (1933b) Pearson, Ko, (1934) Poti, (1950) Robinson, (1933)
Sawkins , ( 194-1 Seal, (1947) Seal, (1948) Shanawany, (1936) Sherman, (1950 Simpson, (1951) Smirnoff, (1936)
Smirnoff , (1946) Sukhatme, (1938) Vora, (1950) Wald, Wolfowitz, (1939) Wald, Wolfowitz, (1941) Williams, (1950) Wolfowitz, (1942)
F2 MULT 56AMPLE PROBLEMS
Bhatt acharyya, (1943) Bhatt acharyya, (194$) Bowker, (1944) van Dantzdg, (1951a) Dixon, _ (1940) Doob, (1949) Feller, (1948) Gardner Hemelijk, (1950a) Hemelijlj, (1950b) Hemelijk, (1950c) Hemelijk, (1950d)
Kolmogoroff , (1933) Krishna, (l95Xa)
Kunisawa, Makaba , forimnra, (1951) Lehmann, (1951) Marshall, (1951 Massey, (1951a) Massey, (l95lb) Massey, (195lc) Mathen, (1946)
Mat hi s en , (1943) Nybolle, (1936) 1 ear son, K 0 (1911) Pearson, Ko, (1932b) Rhodes, (1924) Smirnoff, (1939a) Smirnoff, (1939b) Smirnov, (1948) xii ) 5) )
Thornpc r,- (1938) van den Vaart, (1950a) Wald, Wolfowitz, (1940) Wald, Wolfowitz, (1941) Wolfowitz., (1942) Wolfowitz, (1949)
Gs PARAMETER PROBLEMS
Armi t ag e , ( 1944
Barnard, '(1934 a )
Momqvist 0 , (1951) Brad 3^7 (1952b) Brown, Mood, (1951) Cochran, (1950) Cole, (1945) David, Johnson, (1951a) David, Johnson, (1951b)
David, H 0 Ao, . (195D Dixon, Mood, (1946)
D y-'-aoin , ( 1951 Eddison, Kempthoren, Hasking Berkworth, Cox, Rowlands, (1951) Eisenhart, (1947) Evans, (1942)
Fes linger, ( 1943 )
Festinger, ( 1946 )
Fisher, R 0 A 0 , (1925) Fisher, R 0 A«, (1935) Freeman^ Hal ton, (1951) Friedman, (193?) Gayen, (1950a) Gayen, (1950b)
Gu t tin an , ( 1 9 48b ) Heraelri jk, (1950b) Hemelri jk, (1950c Hemeirijk, (l950d) Hemelri jk, (1952) Hodges, Lehmann, (1950 )
Ho® ffdi ng , ( 1950 ) rap thorns , (1952)
Kruskal, ( 1952 )
Mann , Whi t ne y , (1947) Maeftewart, (1941) Marshall, (1951 Marshall, Walsh, ( 1950a) Marshall, Walsh, (1950b) Mood, (1950) Moroney, (1951) Mosteller, (1948) Hosteller, Tukey, (1950) Noether, (1948) Noether, (1951) xiii ) ) ) )
Nair, Ao No (1941) R Nair ? Ko 0 , (1940a) Nair, K« (1940b) Nair, Ko Ro, (1948a) Pearson, E„ S„, (1931)
Pearson, E„ S 0 , (1950b) Pitman, (1937a) Pitman, (1937 o
S avur , (1937) Stuart, (1951)
SwinefSe*rd , ( 1948 Terry, (1952) Thompson, (1938) van der Vaart. (1950b)
Wallis 3 , (1939 Walsh, U946at Walsh, ^1948 c) Walsh, (l946d) Walsh, (1947) Walsh, (1949a) Walsh, (1949b) Walsh, (1949c) Walsh, (1949d) Walsh, (l950a) Walsh, (1950b)
Walsh, ( 1950c) Walsh, (1951) Welch, (193?) Welch, (1938) Westenberg, (1948) Whitney, (1951) Wilcoxon, (1945)
Wile omon , (19 1|.6 ) Wile ox on , ( 1 9 47
Wile oxo n , ( 1949 Wilcoxon, (1950)
Wilks , (1940) Zubin, (I.939)
H % CONTINGENCY TABLES
Adler, (1951 A-llinson, Bates, (1944) Barnard, (1945) Barnard, (1947 a) Barnard, (1947b) Bonnier, (1942) Carroll, Bennett, (1950) Pederighi, (1950) Finney, (1948) , Fisher, R 0 A & , (1922) Fisher, R„ Ao, (1926a)
xiv Fisher# Ho Ao# (1943*5
Fisher # Ro Ao # (1945)
Freeman # Hal ton# (1951) Fulcher# (194-2) Gebeleln# , (1942) Geppert# (1944)
Gildemeister , van der Waerddr?.# (1943=44) Haldane# Cl93 9) Irwin# (1949) Irwin# Snedeeoro (1933)
Jeffreys # (193?) JurgensCi# (194?) Kermaek# M^'Kendrick# (1940) Lancaster# (1949)
Leslie # (1951) Mainland# (1940) Mood# (1949) Moroney# (1951) Patnaik# (1940)
Pearson# E 0 S 0 # (194?) B Pearson# E 0 0 # Herrington# (1948) sniitto# ,( 1949 ) Simpson# (1951b) &mith# (1951a) ^mith# (l95lb) Stevens# (1951) Swineford* (i'940) Wilks# 11935) Wilson (1941) Wilson# (1942a! Wilson# (1942b) Wilson# Worcester# (191*2®-) Wilson# .Worcester*, (1942b) Yates# (1934) Yates# (1948)
It RANDOMNESS
Armitage# Baines# Lindley# (1944) Bartlett# (l950) Bartlett# (1952) Bateman# (1948) Bennett# (1951) Bertrand* (1975) KW )
Besson* (1920) Bienayme* (1875) Bilham* (1926) Bor el* (1933) Bose* (1946) Bose* {1950) Brown* (1948) Cameron* (1952) Campbell* (1942) Cochran* (1938) Cochran* (1938) Cowles* Jones* (l937) David* (1947b) Davies* (1941) Dodd* (1939) Dodd* (1941) Dodd* (1942-) Eisenhart* Wilson (1943) Elfving* Whitlock* (1950)
Finney* (194l“42 ) Finney* (1947)
Fisher* RoA-0 * (1926b) Freund* (1951) Gage* (1942) Ghosh* (1948), Gleissberg* ( 19454- Gleissburg, (19456) Gold* (1929)
Greenwood * (1946 Haldane* (1948) Johnson* (1948) Jones* (1937) Kendall* Smith* (1938)
Kendall* Smith* (l939 a ) Kendall* ^mith* (19396)
Kerrnack* McKendrick* (l937 a ) Kermack* McKendrick* (19376) Kuznets* (&929) Levene* (1946a) Levene* (19466) Levene* (1952) •^evene* Wolfowitz* (1944) Mann* (1945a) Mann* (19456) Mann* (1950) Marbe* (1926) Marbe* '1934) Mihoc* (1943) Moore* (19495 , , )
Moore , Wallis, (1943) Moran, (1947a) Moran, (1948°) Moran, (1951a) Mosteller, (1941) Noether, ^1950) Nair, KoRo (1938) old , (1949)
©lias te ad ' , (1942)
01ms t e add , (1948) van der Plank, (1948) Rider, (1951)' Rosander, (1942) von Sciielling , (1939) Shwnart, (1941) Silberstein, 11945)
Stevens , (1937) Stevens, (1939)
Sukhatme, (l949 a ) Sukhatme, (1949b)
Thomas , (1951) Tippett, (1927) Ville, Jop (1943a.) Ville, Jo, (1943b) Wald, Wolfowitz, l 1943) Waldapfel, (1943) Walker-, '1927)
Wallis, Moore, (l94l & ) Wald Wolfowitz, (1942)
Young , (1941 Yule, (1938)
Jg CORRELATION AND CURVE FITTING
Blomqvist, (1950) Brown, Stanley, Chown, IJoran, '“1951) Crest, (1940) Daniels, *1943) Daniels, (l950) Daniels, Kendall, (1947) David, Kendall, Stuart, (1951) Deming, (1938) DuBois, (1939) Eascher, (1924) Gayen, (1951) Hemelri jk, (1949) Hoeffding, (1947) Hoeffding, (1948b) Horn, (1942) Hotelling, Pabst, (1938) xvii )
Kaarsemaker, van Wijngaarden, ^1952)
^endalj,(l938 ) Kendall, (1942b) Kendall, (1945)
Kendall , (1947). Kendall, (1948a) Kendall, ( 1948b) Kendall, (I9)j9) A G- S 8 Smith, B.B., Kendall , M o 0 , endall , 0 F H<», (1938 )
Mood , (1950) Moran, (1947c)
; Moran, (1948 a) Moran, (1948b) Moran, '1950a£ Moran, (l95°b) Moran, (1951b) Moroney, (1951. N&ir, Shri'grastana, (1942) Norton, (1948) Olds, (1938) Oi’insteadd, Tmkey, (1947) Pe arson ,K«( 1916 Pitman, (l937b) Pridmore, (1944)
SehCfttzenberger , ( 1948 a) Sill it to, (1947) Silverstone, (1950) Smith, (l94i) Spearman, (1904) Steffensen, (1941) w n Stuadent , (1921) Theil, (1950a)
Theil , (1950b) Treloar, (1942) Whitfield, (1947) Whitfield, (1949) Whitfield, 19505 Wolfowitz, (l943) Woodbury, (1940)
K§ COMPARATIVE STUDIES
Bartlett, (1935) Benson, *1949) Bradley, ;l952a) Bradley, (1952b.) C§mp, (1946) Cochran, (1938) David, (1949) David, Johnson, (1951a) David, Johnson, (1951b)
xviii ) )
Davies, Parson, E.s., ( 1934 ) C Eden, Yates, 1933 ) Eisenhart, (1947) Festinger, (1943) Finch, (1950)
Gayen, ( 1949 ) Gayen, (1950b) Gayen, (l95D Geary, (.1936) Geary, (l947) Hastings, Mo^ teller, Tukey, Winsor, Hirschmann, (1943) Hotelling, (1947) Hsu, (1945)
( Lade rman, 1939 ) Mcriguti (1951 Nail (1941) , S Pearson, E 0 0i( ( 1931 ) Pearson, E 0 S e , 1937 ) S / Pearson E 0 0 , (1950b)
Pearson E„S 0 , AdyanthAya, (1929) lvl Pearson, E 0 S o , erri ng^on# ( 1951 ) Perlo, (1933) * Rider, 1929 ) Shone, (1949) Steinhaus, '1946) Tukey, (1948b) Tukey, (1950)
L: SYSTEMATIC STATISTICS
Barnard, fl943a) Benson, (1949) Burr , (1952)
Ohandrasekar , Francis, (1941 Cochran, (1941)
01 cs.x^, 17; Cramer, ^1946) Daly, (1946) David, (1951) Davies, Pearson, (1934)
Dodd, ( 1923 ) Egudin, (1947) Eisenhart, Deming, Martin, (1948) Epstein, Bobel, (1952) Feller, (1951) Fisher, Tippett, '1928) Free he t^ (1927) Gartstein, (1948) Godwin, (1948) Godwin, (1949) xix ) )
Gum'bel , (1935 ) Gwmbel, (1944) Gumbel, 1956
Gmtibel , (l94? a ) Gumbel, (1949)
Gumbel , Greenwood, ( 195*3-
Glimb el , ^enney, (1950a)
Gumbel , ^enney, (1950b) Hartley, (1942) Hartley, (1950a) Hartley, (1950b) Hastings, Mosteller, Tukey, Winsor, (1947)
, Johnson, (1952) Jones, (1946) Jones, H0L0, (1948) Kawat a, ^endall, (1940) Lord, (1947) McKa^, (1935) ill an, (1949) von Mises, (1930) Mood, (1941) Moshman, (1952) Me s teller, (1946)
Nair, K 0 Ho, (1948a) Hair, K„ R., (1948b)
Hair, Ka.R 0 , Shivastava, (l94l) Patnaik, (l950)
Pearson, E 0 S 0 , (1932) Pearson, (1937)
Pearson, E 0 S 0 , Haines, (1935)
0 S Pearson, E 0i, Hartley, (l943)
Pearson, K 0 , (1920) Filial, K., (1948)
Filial, K # , (1950)
Pill ai , Ko, (1951)
Rider , (195Q)
Schpjttzenberger, ( 1948b) Schuttzenberger, ('1948c) Shone, (1949) Sillitto, (1951)
Emi rno .f f , (1935) EmirnoFf, (1936) Walsh, (1946a) Walsh, (1946b)
xx 1 9 ) ) )) ) ) )
Ms SCALING
Bat eric, ( 19 I+6 )
Eaten , Tromt, (194&) Bliss,, ^nderson, Marland, (1943) Bradley, Dimcaiij (1950) Bradley, Terry, (1951a) Bradley, Terry, (l952>b)'
C hapm'an , ( 1935 ) Cramer, (1945) Cf’ist, Seaton, (1941) Durbin, (195-1) Eddiscn, Kempthorne, Hosking, Barkworth, Cox, Howlands, (1951) Eysenck, (1939) Friedman, (194o)
Greenwoo d , ( 1943 Greenwood, Salerno, (1949)
Gut tman , ( 1945 Kend al 1 , ( 19 42 a.) Kendall , (1948a)
' Ke nd al 1 , Srni th, (1939b)
Kend all, *dni th , ( 1 9 3 9 c Moran, (1947b)
ScheffeV ( 1952 )
S chn yl e r, ( 1 43
Stmar t , (1951) Wolfowlts, (1942)
Ns DISTRIBUTION THEORY ^ — --——— E And erson , „ s 0 , ( 1949 Anderson, T.W,, (1943)
Andr 4 , (1879) Andre, (18&3-S?)
Andre", ( 1883b) Armitage, Baines, Li ndley, Bateman, (1948) Baticle, (19|1) Bat tin, (1942)
( Bendersky, 1948 ) Be r tr and , ( 8 7 5 Besson, ^ (1920 Bienayme, (1875) Bilham, (1926)
B i rn b aum , (1948) Bi rnb aum , ( 1 9 49 Birnbapm, Lingey, (1951) Blomqvisth (1950)
Bl omqvis t> .> (1951)
B orel, ( 1933 ) Bose, (19485 Bose, (1950) Botteman, van Veen, (1943) xxi ) )
Botteman, van Veen, (1948)
Br own , Mo o d , (1951)
Burr 5 (1952)
Carl ton j, (1946)
Chandrasekar , Francis,, (1941)
Chung, (1949) . Cochran, (1938)
Cochran , (1942) Cochran., (1952) Cramd^y (1948)
1 Danie' s , Kendall, (1947) Darling, (1951) David, (1934) David, (1939) David, (1947 a) David, (1-9478) David, (1948) David, Johnson, (1948) David, Johnson, (1951a) David, Johnson, (1951b) David, Kendall, Stuart, (1951) Dixon, (1940) Dodd, (1923) Dorab, (1947) Doob, (1949) Eggleton, Itermack, (1944)
Eisenhart , C 1937
( Eisenhart, 1938 ) Eisenhart, Derning, Martin, (1948)
Erdos, Ka© , (1947) Esscher, *,1924) Evans, (1942) Federighi, (1950) Feller, (1948) Feller, (1951 Finney, (1947) Fisher, (1922) Fisher, (1926a) Fisher, (1926b) Fisher, (1928)
( Fisher, Tippett, 1928 ) Fraser, (1950) Frechet, (1927) Freund, (1951) Friedman, (l937) Friedman, (1940)
Gardner , GartsteTn, (1948) Geary, (1938) Gosh, (1948)
Gildemei ster , van der Waerden, (1943 “44) Gleissberg, (1945) Gleissberg, (1947 xxii ) )) )
Godwin, ( 1 9^4-8 Gold, (1929) Gontcharoff, (1942) Gontcharoff, (1943) Gontcharoff, (.19444) Goudsmlt, (1945) Greenwood, (1938) Greenwood, (1940) Greenwood, (194$) Grecrille, (1941) Greville. h Q/lIl)
Gumbel, (1933 ) Gumbel, (1944) Gurnb el, ( 19 4$ Gumbel, (1947 a.) Gumbel, '>1949) Gumbel, Greenwood, (1951) Gumbel, Kenney, (1950a) Gumbel, Kenney, (i950b) Gumbel, von Schell ing, (1950) Gupta, (1950) Haden, (1947)
Hadwfeger , ( 1943 Hadwjeger, (194$) Haldane, (1937) Haldane, (1939) Haldane, ^mith, (1948) Hannah, (1950) Hartley, (1942) Hartley, ^ 1950a) Hartley, (1950b) Hastings, Mos teller, Tukey, Winsor, Hayashi, (1950) Hemerlrijk, (1952) Hoeffding, (194?) Hoe ffding, (1948a) Hoeffding, (1948b) Hoeffding, (1951a) Hoeffding, Robbins, (1948) Iioel, (1938) Homma, (1951 Hotelling, Pabst, (1938)
Johnson, '1948) Kac, (1949), Kannellos, (1948)
Kaplansky, (l945 a ) Kaplans ky, Eiordan, (1945) Kaplansky, ^iordan, (1946) Kawat a. K endall, MoG 0 , (1938) xxiii ** * * ) ) *
Kendall,, M 0 G 0 * (1940
Kendall M o G e * ( 1942 a) Kendall M.Go, (1942b) Kendall* (1945) Kendall M.G., (1947)
Kendall MoG „ 1948a)
Kendall M„G 0 , (1949) , 1 Kendall MoG „ * 2mith s (1938)
Kendall * MoG o * °mith. (1939^) Kendal M»G», Smith 1* 3 (19390) Kermack* Me Kendrick (i937i) Kermack* McKendrick, (1937b) Kolmogorof f (1933) Kolmogoroff s> ^194^- Krishna* (1947) Krishna* '1948 Krishna (1949a) Krishna (1949b) Krishna (1950a) Krishna ' -95o< Krishna
Krishna Sukhatme * (1949) Kruskal 52) Kullback, 11939) Kuznets* (1929) Kimball* 11947) Kimball* (195’0)
Levene* ( 194b)
Levene* ( 1952 ) Levene* Wolfowitz* (1944)
Mack* ( 1 . 943 )
Mac Mahon* ( 1917 ) MacStew art* (l.94l) Madow. (1943) Malmqvistr* (1950) Mann* (1945a) Mann* (1945b) Mann* Whitney* (1.947) Marbe* 1-1926)
Marb e * (1934)
Mar shall * ( 1951 Marshall* Walsh* ( 1.950b)
Massey* ( 1 9 9 0c ) Massey* (195lb) Massey* (1951c) Mathisen* (1945) Maul don, (1951) McCarthy* (1.947) McKay* (1935) McMillan* (I 949 ) Mihoc* (1943) Mihoc* (1949)
xxiv ,, , , . , )
von Mises* (1936) Mood, (1950) Mood U941) Moodl£ (1950) Moore, (1949) Moore Wallis, (1943) Moran, /1947a) Moran (1947b) Moran, (I947d) Moran, (1948a) Moran, (19480) Moran, (1950b > Mor an (1951a) Moran, (1951b) Moriguti, (1951), Mos teller. (1941) Mo s teller, (1946) Mos teller, (1948) Mosteller (1950) Mullemeister.,, (1945) Neyman, (1935) Neyman, (1937) Noether,, (l949) Noether, ( 1950) < Nair A, NoKo , 1942 )
Nair K, R» s (1940)
Nair K, H OJ> (1948a) N ai r K, Ro, (1948b)
Olds ! (1949) Olmstead, (1948) Olmstead Tukey, (1947) Patnaik, (1949) Pearson, (1900)
Pearson,, (19^1) Pearson, (1920) Pearson, (1933) Pitman, (l937) van der Plank, (1948) Ra jalakshman. (1943) Rider, (1950) Rider, (l95D Robbins, (1944b) Bobbins, (1945) Sakamato, (1943) Santal<5, (1947) Sawkins, (1947). von Schelling, ^1939)
von Schrutkap .. (1941)
Schuttzenberger , (1948b) Schuyler, ( 1948 Seal, (1948) XXV , )
Shan aw any a ^1936 ^ Sherman, 1950 ) Shone* (1949) Silberstein* *1945)
Sillitto* ( 1947 ) Silverstone* 11950) Smirnoff'* (1935) Smirnoff* (1939&) Smirnoff* (1939b) Smirnov* (1947) Stevens* (.1937) Stevens* (1939) Stevens* (l9£l) Stuart* (1951) "Student 1*, (1921)
Sukhatme* (l949 a ) Sukhatme* (1949b) Thompson* (1936^ Thompson* (1938) Ville, (1943a) Vora* (1950) Votaw* ^1948) Wald* (1947) Wald* Wolfowitz, (194°) Wald* Wolfowitz,* (1943) Wald* Wolfowitz* (1944)
WaldaJJf el* (1943 5 Walker* 192?) Wallis* (1939)
Wallis* Moore* (l94l a )
Wallis* Moore* ( 1941b) Walsh* (1949 a) Welch* (1938)
Whi twor th * ( 1 9 45 Wilks* (1935) Wilks* (1943) Wlshart* Hir-schfield* (1936) Wolfowitz* (l942) Wolfowitz* (l944a)
Wolfowitz* ; > b) , 1944 Woodbury* (1940) Young* (i94l)
0°o APPLICATIONS
Azorin* Wold* (1950) Baillie* (1946) Baker* Guilbert* m 942)
Barnard* (l934 a ) xxv i )
Bennett, (1951) B Ilham, (1926) Brown, (1948) Cameron, (1952-) Campbell, (1942) Charley, (1950) Cochran, (1936) Cochran, (1938) Cole, (1945) Cowles, Jones, (1937) Crist, (1940)
Crist, Seaton, ( 1942- ) Dawson, Duehring, Parks, (1947) Elsenhart, Wilson, (1943) Elfving, Whitlock, (1950) Eysenck, (1939) Gage, (1943)
Gold, ( 1929 ) Greenwood, Salerno, (1949) Gruneberg, Haldane, (1937) Guttman, (1946) Haldane, Smith, (1948) Jones, (1937)
Kendall, Smith, (1938 ) Kendall, Smith, (1939b) Lesser, (1933) Mainland, (1943) Hosteller, (1941
Nair, K 0 R 0 , (1938) 01ms te ad, (1940) Pearson, (1900) Pearson, (1911) Pearson, (1932a) Pridmore, (1944) Rider, (1951) Schtfttzenberger, (1948b)
jtpL) Whitfield, (1950) Wilcoxin, (1946) Yule, (1938)
P : TABLES
Azorin, Wood, (1950)
* Bateman,n a, u ci lieu. i 9 (1948)-h / hpw Berge, (1937) Bilham, (1926) xxvii Birnbaum, Tingey, (1951) Blomqvist, (1950) Blomqvist, (1951) Camp, (1948) Cole, (1945) Cox, (1948) David, (1934)
David, ( 1939 ) David, (1947a) Davids (1947^) David, (1949) David, (1950a) David, (1951) David, Kendall, Stuart, (1951) Dixon, (1940) Dixon, (1948) DuBois, (l939) Elderton, (1902) Festinger, (1948) Finch, (1950) Finney, (1948) Fisher, (1922) Fisher, (1950) Fisher, Yates, \1948) Friedman., [l937) Friedman, '194-0) Fulcher, ( 194-2) Gayen, (1949) Gayen, (1950a) Gayen, Vl950b) Gayen, (1951) Gleissberg, (1945) Godwin, (1949)
Gumbel, (1947 a ) Gumbel, (1949) Gumbel, Greenwood, (1951' Gumbel, Kenney, (3.950a)
Gumbel, Penney, i 1950b) Gumbel, vonSchelling, (1950b)
Gupta, { 1950 ) Haldane, ^mith, (1948) Hartley, (1950a) Hartley, (1950b) Hastings, Mos teller, Tukey, Winsor, Jones, (1948) Jones, (1948) Jungensen, (1947)
Kaplan sky, (l945 a ) Kendall, (1952) Kendall, Smith, (1938)
Kendall, Smith, (1939 a ) Kendall, Smith, (1939c) Kendall, Smith, (l939d) xxviii
s ) ) o ) )
Kolmogoroff^ tk 194l) Krishna* i 1950a)
Kunisawa^ Marabe s Morimure^ (195D
Leser p (1942) Levene^ (1952)
Lord , (1947).,
MacStwear t s (1941) Mainland^ (194®
Mann p (1950)
Mann , Whi tne y , ( 1 9 47 Marshalls Walshs (1950b) Masseys (1950c) Masseys (1951a) Masseys (l95ob) Mat hi sens (1943)
Me Car thy s (194?) McKays (1935)
Moores Wallis , (1943)
Moran ? ( 194®^ Morans ( 1950b) Morans (1951b) Moshman> (1952) Mos tellers (1941) Hosteller, (1946) Mos tellers (1948)
Hostellers Tukey ? (1950)
Mur- phys ) . Neyman, Pearsons (1930
Norton lairs K 0 R s (1948a]
Olds s
Olds s 01ms te ads te ad Puke 01ms «, y s (1947) Patnaiks 1948)
Patnaik * (1*949) Patnaik, (1950) Pearsons (1932) Pearsons Pe arson Hartleys (1943) Pearsons Merringtons (1948) Pearsons Merrington, (1951) •Pearsons Ko (1900) Pearsons Kos (1919)
Pearsons Ko s (1920) < Pearsons Kos 1951 ) Pearsons Kos (1933b Pearson K (1934) Pillai, Pillai, ^itman, ( 1937 Placketta ^19 xxx ) ) ) 1
9 * Rider , 1929 ) Rider, (1^51)
Schmidt , "1934)
Schuttzenberger, ( 19480 ) Shanawany, (1936) Sillitto, (1947) Sillitto, (1949) s illitto, ( 195D
Silver stone ? (1950)
Smirnov 3 (1947)
^mi mov , (1948)
Stevens , (1937) Sukhatme, (1938)
( Swed, ^Isenhart, 1943 ) Swineford, (1946) Swineford, (194-8) (Thomas, ( 19.51) 'x ‘ippett, ( 1927 ) van der Vaart, "1950b) Wallis, Moore, (31943a)
Wallis, Moore, ( 1941b) Walsh, (1946a) Walsh, (I946d) Walsh, (1949 a) Walsh, (1949°) Walsh, (1950b) Walsh, 1950c Walsh, ) 195D Welch, (1937)
Welch, ( 1938 ) Westenberg, ‘1948) Whitfield/ (1949) Whitney, (1951) , van Wi,ingarden, '1950) "iicoxfan, "1945) Wile exon, (1947
Wile 00 © 21 , (1949) w ( ilk si, 1942 ) Williams, ^1950) Winstein, (1946^ Woodbur y, (1940 Young, (1941) Zurbin, "1939)
X§ MISCELLANEOUS
B irnb aura , (1948) Birnbaum, Zuckerman, (1944) Chakrabarti^, (1946)
Chakr ab ar 1 1 , ( 194-7 XXX ) )
Dysoh* (1943), Fix, Hodges, '>1950) Frechet, (1947) Guttman, (194$ a) Hornich, (1943-)
K apian, sky , (1945b) Kerawala, '194$) von Mises, ( 1 9 31
yon Mises, (l93*9 a ) Pearson, (1950a) Picard, (1951) Plackett, (1947) Reiersol, (1944) Shohat, Fean son, ( 1 9^9 Smirnov, (1947) Tukey, (1946) Wallis, (1942) Wilkies 9 (1944) Wins te in, (1946) 7
Franz ADLER
1951 **Y&tes ! correction arid the statistic! ans” H Journal of the American Statistical—Association———
V. As ALLINSON and C * D 0 BATES
1944 ^The basis of the C » S s Ms test-charts and methods of calculation®* H (British) Ministry of Supply Advisory Service ty^on troTT" *“ ’ " “ Wcffi^~cajTl^ ©port-- jfo7°~Q^7^7^'7
E e S - ANDERSON
1949 w 0n the number of positive sums of random variables*’ N
Skandinavisk Aktuarie tidskrif t 32 $ 27-36 50-2J6
0. ANDERSON
1935 Einfiihrung in die mathematische Statistik C
Julius Sp'rThgeFJ' ' Wien;
T 8 W. ANDERSON
1943 88 0n card matching” N Annals of Mathematical Statistics i/i> 426-1*35 44=208 Desire ANDRE
1879 "Dovelopipents d@ sec x et d© tang x” N
Cbmpfces Rendua (Paris) 88 g 965^96
w 1883a Probabili pour qu ! une permutation donnee de n lettrea^ soit una permutation alternee” N Comptes Rendua/ (Paris) 97? 983-984
1883b ”Sur le, nombre des ^permutations de n elements qui presentent s sequences” N
Comptes ^endus (Paris) 97 ? 1356-1358 Y
=> 2 -
Fo- Jo ANSCGMBE
1948 "The validity of comparative experiments*8 A Journal of the Royal Statistical Society ' ' ' ' 49=724
Po ARMITAGE
1944 "A go not=go sequential t-test" G ^British) Mi nistry of Supply Advisory Service
' oir^taTTs tt^aT~~He tho5"lmd Quail ty C onlrrol 0 Te^Hnlcar^er^rT^ 0 QC /ft/ZHT
P e ARMITAGE, A» H, J» BAINES , D 0 Vo LINDLEY
1944 "On some properties of binomial sequences 59 IN (Bri tish) Ministry of Supply Advisory Service"””” bn “STtaTrsEfc al Meliiod^lmd QuaTTL^lTon tro IT - ~~ IteTHn cTlL TYeTor t °No4 /2. d
Fo AZORIN and Ho WOLD
1950 " Product sums -and modulus sums of Ho Wold 8 £ normal deviates" EOF Trabajas de Estadistlca 1, 5=28
Do C 0 BAILLIE
194-6 "0n testing the significance of mortality ratios by the use of 0 Tr ansactions of the Actuarial Society““““““of ’5merTcTlj.7 , 3^6° 34; 47-284
Go Ao BAKER and Ho R» GGILBERT
1942 "Non=>randomness of variations in daily weights of cattle" 0
Journal of Animal Science 1 9 293=299
G 0 A, BARNARD
1943^ “The use of the median in place of the mean In quality control charts" GLO (British) Ministry of Supply Advisory Service~~
on Quality Control 0 Technical Report—No «, W/R7^ " —1
- 3 -
Go A. BARNARD
1943b ^Statistical methods applied to assembly processes 8 '* CO (British) Ministry of Supply Advisory Service wiTFptnon QuaTTty Control®^ Technical Report- ~lNfoT~~~ n 1944 An analogue of Tcr&yoheff » s inequality in terms of range** 46-C (British) Ministry of Supply Advisory Service STati s tic ai and Control® on mod Quality* T 47- Wcrm jTcaT~'^e 3 or t -4lo f, Q,6 At71 .uwajaix^ - fr- a It—rfh—
1945 ”A new test for 2x2 tables 1* H Nature l£6, 1?? 131
1947 a Significance tests for 2x2 tables** H Bi ometrika 3j±, 123-138 395
194?b **2x2 tables* A note on E„ -Pearson's paper"* H Biometrika 34# 168=169 47-395 s M e e BARTLETT
1935 "^he effects of non-normality on the t-distri- bution** K Proceedings of the Cambridge Philosophical ' ' . «i r, 1 ' r iWIBl r» ! ir. t m . .. y^T 'T_ *— gocTe^tj Jlj d2j^ZJl
1950 M'The frequency goodness of fit test for probability chains I Proceedings of the Cambridge Philosophical 51-512 G, BATEMAN^ 1948 **0n tho power function of the longest run as a test for randomness in a sequence of alternatives IN? Biometrika 3g* 97-112 48=603
W* D» BA TEN
1946 "Analysis of scores from sampling tests 1* M Biometrics j|, 11-14
W. D « BATEN and G* M* TROUT
1946 ^A critical study of the summation -of- difference-in-rank method of determining
8 proficiency in judging dairy products * M Biometrics 2, 67-69 )
- 4 -
Edgar BATICLE
/ / 1951 l|! Sur la probabilite des iterations dans le schema de Bernoulli N
Gomptes Rendus (Paris) 232 g 472=473 51-619
I. Lt> BATH N
1942 ‘‘On the problem of multiple matching 8 ® N Annals of Mathematical Statistics 13 s 43=102
Lo BENDERSKY
1948 **Sur quelques probleme s concern ant les epreuves r^petees 99 N Bulletin des Sciences Mathematiques (2) 49-384
C 0 . ho BENNETT
1951 58 Applications of tests for randomness®*' 10 Industrial and Engineering Chemistry 43s
Fo BENSON
1949 "A note on the estimation of mean and standard deviation from quantiles®* KL Journal of the Royal Statistical Society ( B
0o BERGE
1932 w Uber das Theorem von Tchebycheff und andere Grensen einer Wahrscheinlichkei tsfunktion 58 C
Skandf navisk Akfcuarie tidskrif t 1932 9 65=77
1938 n A note on a form of Tchebycheff 8 s theorem for two variables 1®' CP
Biome trika 29 9 4^5=4^6 Agnes BERGER
1951 M 0n uniformly consistent tests*9 B Annals of Mathematical Statistics 22» m " 2W-W3 52-143 — }
« 5 “
Joseph BERKSON
1938 "^ome difficulties of Interpretation en» countered in the application of the chi- square test” E Journal of the American Statistical Association- 227
Joseph BERKSON and H # C, GEARY
!jW 194.1 ’’Comments on Dr * Madow® 3 ote on tests of departure from normality® with some remarks concerning tests of significance 55 E Journal of the American Statistical Association wr ~ —~ So BERNSTEIN
1927 Theory of Probability C Boscow,^9=I65
J* BERTRAND
w n 1875 Note relative stu theorem© d© Me Bienayme IN
Comptes ^endua (Paris ) 81, 458 and 491 “492
Lc BESSON (Translated and abridged by E«. W 9 Wool&rd
1920 8l 0n the comparison of meteorological data with chance results 1* IN Monthly Weather Review 48, 89-94
Ae BHA TTAC HARYYA
1943 K 0n a measure of divergence between two statistical populations defined by their probability distributions’* F Bulletin Calcutta————Mathematical Society , 45-7 w 1948 Ori a measure of divergence between two 15
, multinomial populations F
' \ Sankhya 7j> 401”406 47-282
J e BIENAYME^ 1 / \ s 1855 ’’Considerations a 1 ® appuie de la d^ecouverte de Laplace sur la loi des probabilites dans la methods des moindres carres” c
Comptes Rendua (Paris) 37 $ 309 - 326 Y 1
- 6
/ Jo BIENAYME
1867 "Considerations a l 9 appuie de la decouverte de Laplace sur-la loi des probability’s dans la method© des moindres carr^s” c 2nd series) Journal de Math£matiques (Liouville ,, I ^
1875 "Application d 9 un theorem© nouveau du caleul des probabili tes w IN
Comptes Rendus (Paris) 81 ,? 417°423
E o Go BILHAM
1926 "Correlation coefficients" INO Quarterly of the Royal Meteorological “SocT5%|
Z. W, BIRNBAUM
1948 "On random variables with comparable peakedness" CNX Annals of Mathematical Statistics 78 =8 19 9 48=452
19ii.9 "On the distribution of Kolmogoi^ov 9 a statistic for finite sample size" en Proceedings of the semi n ar on scientific
; computa^Q^lFM“^orFr7~lro Yo ) „ 53=36 g ITov 0 1949
Ze W 0 BIRNBAUM <, Jo RAYMOND , and Ho S 0 ZUCHERMAN
194? **A generalization of Tshebyshev B s inequality to two dimensions" G
Annals of Mathematical Statistics l8 g 70=79 47-470
Zo Wo BIRNBAUM and Fred Ho TENGE
1951 "One ~sided confidence contours for probability distribution functions" enp
Annals of Mathematical Statistics 22l0 592=598 52=367
Ze Wo BIRNBAUM and H 8 So ZUCEERMAN
w 1944 "An inequality due to H c H0rnich X
Annals of Mathematical Statistics l£ 9 328=329 45=160
1949 "A graphical determination of sample size for Wilks 9 tolerance limits" D Annals— of Mathematical Statistics —20« 313= ng : 49=724 “
- 7 -
G* I. BLISS, E o Do ANDERSON, R, E„ MARLAND
1943 A- technique for testing consumer preferences wl t^i~peoTaT^ef areii c eto of Ice emaT 24 Sto rp s Agri cul tur al Experiment Station Bulletin 251, 20pp»
Nils BLOMQVIST
1950 “On a measure of dependence between two random vari able s 99 JNP
Annals of Mathematical Statistics 21 , 593^600 51-510
195>1 “Some tests based on * dicho tomiz&tion*- GNP Annals of Mathematical Statistics 22, 362-371
Gerto BONNIER
1942 “The four-fold table and the heterogeneity test’* H Science §6, 13-14 43-26 E. BOREL
1933 w Sur un problems elementaire de probabilites et la quasi -periodic! te^ de certains pbenomenes ar i thme ti que s IN
Comp tea Rendus (Pagt. ?- 196 , 881-882
R* C « BOSE
1946 11 The patch number problem 9 ' IN
Science and Culture 12 , 199-200 47-389
1950 M 0n a problem of two-dimensional probability^ IN Sankhya 10, 13-28 51=113
0. B0TTEMA and S c C, wm VEEN
1943 “Calculation of probabilities in the game of billiards I N Nieuw Arehief voor Wiskunde ^2) 22, 15=33 46-209
1946 “Calculation of probabilities in the game of billiards II N
Nieuw Archief voor Wiskunde (2) 22 , 123“-15>8 47-470 y
- 8
Albert H* BOWKER
1944 w Nofce on consistency of a proposed test for the problem of two samples” F
Annals of Mathematical Statistics 15 $ 98*101 45*10
R e Ao BRADLEY
51 1952a The distribution of the jt and F statistics for a class of non“normal population” K
Virginia Journal of Science 3_ 5 1*=34 .
1952b ^Corrections for non=»normali ty in the use of the two “3 ample and F=tests at high significance levels” ~ GK Annals of Mathematical Statistics 23 *, 103-113
Ro Ao BRADLEY and D 0 B 0 DUNCAN
: 1950 S ~afistiealm methods for sensory d ifference te¥¥s"~oT TooR^irali t arxnuai TTe port No 0 1 AM Mimeographed report from the Virginia Agricultural Experiment Station*, Blacksburg*, Va e December 1950
Ro Ac BRADLEY and Mo E 0 TERRY
1951 & St a t 1 s tibhl me thod s for sensory difference "of "food quality^ ’Biannual Report f§6* 2 AM Mimeographed report from Virginia Agricultural
Experiment Station*, Blacksburg*, ?a 0 . June 1951
1951b Sta tistical methods for sensory difference tests of food quali ty« Biannual Report No c 3 M a= Mimeog r ap E©H 7epoFF7’ro m Virginia Agricultural
Experiment Station*, Blacksburg 9 Va 0 Dec 0 1951
Ao BROWN and P 0 Jo STANLEY
^Relation between chemical analysis and ballistic limit for armour plate” J (British) Ministry of Supply Advis ory Service
on Quali Control o tfechnicaf* ReporFl^Wo 0 ty ~~~~~ “ '
Bernice BROWN
1948 Some tests of the randomness of a million aig£ET 10 Project RAND P=44 (19 u etober 1948) - 9 -
G* Wo BROWN and iU M. MOOD
1951 On median tests for linear hypotheses.- GN Proceedings of the Second Berkeley Symposium
on ^Mathematical Statistics and Fr6baSilTty a uSTversity of SaLTf’ornia 'Yress,' ppT~T^pTo6
Irving W. BURR
1952 w Dis tribution of ranges from an arbitrary discrete population** LN Annals of Mathematical Statistics 23,, i/4.5
J 6 Mo CAMERON
1952 n' R@sults of some tests of randomness on pseudo* random numbers 45 (preliminary report) 10 Annals of Mathematical Statistics 23, 138
Burton H e CAMP
W 1922 A new generalization of Tchebycheff 5 s statistical in© quail tjn C Bulletin of the American Mathematical Society^
1923 a*Not© on Professor Narumi^s paper*® C
Biometrika 1$ , lj.21-ii.23
1938 ’’Further interpretations of the chi-square test 95" E Journal of the American Statistical Association 227~F37=5P
194^ 5, The effect on a distribution function of small changes in the population function 59 BK Armais of Mathematical Statistics 17? 226~231
19^6 ^Generalization to N dimensions of inequalities of the Tchebycheff Uype M CP Annals of Mathematical Statistics 19? *?68-5>7ty lj.9~33i|.
W, E 0 CAMPBELL
1914.2 Us e of statistical control in corrosion and con¥act”resiitance studies 10 BelT^Syg^ eipfeclini caI~"Publ i cat! ons Monograph B-13^0 - 10 -
F 0 P e CANTELL I
1910 "Intor.no ad un teorema fund amen tale della fceoria del rxschio" C Ballet ino dell 9 Aasociazione degl 0 Attuari TFaliani
1928 9*Sui eonfini della probabilita" AC Atti del Congresso Internazionale~ del Maj¥matTcT°57 47"
Ao George CARLTON
1948 "Estimating the parameters of a rectangular dx s tribution*1 N
Annals of Mathematical Statistics 17 p 355=358 47”4l
John B® CARROLL and C » C* BENNETT
19^0 "'Machine short°cuta in the computation of 59 chi-square and the contigency coefficient ' EH
Psychometrika 1$ , I4.I4.I -=i|i|_7
Mo Co CHAKRA BAR TI
1946 "A note on skewness and kurfcosis" x Bulletin of th© Calcutta Mathematical 47=393
1947 **0n th© inadequacy of measuring the peakedness of a distribution curve by the standardized fourth moment" X Bulletin of the Calcutta Mathematical Society 49=50
C® CHANDRASEKAR and Mary G* FRANCIS
1941 51 A method to get the significance limit of a type_of test criteria" LN Samkhya 165=168 43=165
Jacques Mo CHAPELON
1937 "Sup I'inegalite fondamentale du calcul des probabilltes" ^ C Bulletin de la Societe Mathemati que d© Franc© ~ T" *
Do W 0 CHAPMAN
1935 "Ihe generalized (problem of correct matchings" M Annals of Mathematical Statistics 85=95 - 11 -
Helen CHARLEY
1950 ^Effect of baking pan material on heat penetration during baking and on quality of cakes made with fat ?8! 0 Foo^JRe^earch 15, 155-167
Lp No CHOWN and P 0 ho Po MORAN
1951 w Rapid? methods for estimating correlation coefficients 88 J Blome trika 3 3 . , If6i4.~ij.67
Ko Lo CHUNG
1949 n An estimate concerning the Kolmogoroff limit distribution 81 EN Transactions of the American Mathematical 50-606
Ao Lo CLARK
1933 n An experimental investigation of probability88 NO Canadian Journal of Research % 402=414
1934 ^Experimental probability 88 0 0 an ad i an Journ al of Research 11 , 6 58 -664
Wo Go COCHRAN
1936 ^Statistical analysis of field counts of diseased plants 88 IKO Supplement to the Journal of the Royal FtaWstTFal' Bezels tj 3 ”49 "6 7 u c 1936-37 The % distribution for the binomial and Poisson series with small expectations 88 E Annals Eugenics 2 07° of 7 s> 214
1938 59 An extension of Gold^s method of examining the apparent persistence of on© type of weather w INO Journal of the Royal Meteorological Society MT63T-634 ' " 1941 w The distribution of the largest ©f a set of estimated variances as a fraction of their total 88 L
Annals of Eugenics 11 , 47°52 42=171 a
12 ca
W. G. COCHRAN
1942 '""The correction for continuity’* EN Iowa State College Journal———————of Science 16* T5ST=Zi3b — 43=280
1950 w The comparison of percentages in matched samples**' GN
Biome trika 37 9 256=266 51=621
LaHont C • COLE
1945 simple test of th© hypothesis that alternative events are equally probable 1* GOP
Ecology 26 , 203=205
Randal H. COLE
1951 ’’Relations between moments of order statistics** L
Annals of Mathematical Statistics 22 , 308=310 51=841
Alfred COWLES and Herbert E 0 JONES
1937 ’’Some a pos teriori pi’obabili ties In s tock= market aF^Ton^ 10
Econometric D 280=294
D. R„ COX
1948 85 A note on the asymptotic distribution of rang ©’ 5 LP
Biome trik a 35 , 310=315 49=486
A* Jo CRAIG
1932 58 0n the distribution of certain statistics** L
American Journal of Mathematics 54 j 353=386 C. Co CRAIG
1933 ,? on the Tehebycheff Inequality of Bernstein” C Annals of Mathematical Statistics ^9 94=102. Harald CRAMER
1948 Mathematical methods of statistics CLMN Princeton University Tress^HPrTHcFfconp
‘ New Jersey, pp 0 182=183,256,387=378 47=49 a 5 ) e
13 -
J. W. CRIST
19U0 "Correlation from ranks for horticultural research 59 JO Proceedings of the American Society of Hortici^iur ST 5cYen ^ 3=595
J. Wo CRIST send Ho L« SEATON
1941 ^Reliability of organoleptic tests 51 MO
' Foo d Re s earch 6 ( » 529=536
Jo Ho CURTISS
1950 wL©t quality measured by average or variability 95 C Accept ne e_ Sampling s The American Statistical
1 Association 5 Was&mgtozip D e C ** 79=116
Joseph F 0 DALY
1946 85 On the use of the sample range in an analogue of Student's t=test w LP
Annals of Mathematical Statist i cs 17 9 1l°7k i|.6=l+6A
Ho Eo DANIELS
1943 l?l£he relation between measures of correlation In the universe of sample permutations" J
Bioroe tri ka 33 s 129=13.5 45-91
1950 wRank correlation and population models" J Journal of the Royal Statistical Society ^B) * " — gATTT-l&I 51=725 H. Eo DANIELS and Mo G, KENDALL
n 1924.7 The significance of rank correlation where parental correlation exists 85 JN
Biometrlka 3k 9 197=208 48=364 D* van DANTZIO
1951 a "On the consistency and the power of Wilcoxon's two sample test"' F Proce edings o f Koninkllrke Nederland s We tehschappen ~TIX3¥I^‘^8 51=726
1951b "Une nouvelle generalisation de 1 ' in eg all te* de Bienayme M c de Henri Poincare" 12 Annales I'Institut "" p 31=51 t
- 14 -
D c A. DARLING
1951 "Sums of symmetrical random v ariables” N Proceedings of the American Mathematical SocIeSjrzT 52=258
P. N. DAVID
193^4- “On the test for randomness § remarks,
further illustrations , and tables of P for given values of=l©g^Q ENP Biometrika 26, 1-11
1939 “On Neyman’s 'Smooth® test for goodness of - fits Io Distribution of the criterion *^2 when the hypothesis is true” my Biome trika 31 , 1.91=199
n 2 8 8 w 1947a A x smooth test for goodness of f i ENP Biome trika 34 s 299=3X0 48=600
1947b “A power function for tests of randomness in a sequence of al tern at Ives 85 INP
9 355=339 48=600
1948 •’Correlation between cells- 8 EN
Biometrika 3b ? 418=422 49=465
1949 “Note on the application of Fisher® s k= statistics'* KP
Biome trika 36 * 383=393 50=447
1950 a “Two combinatorial tests of whether a sample has come from a given population 81 5?=3S Biometrika 37 , 97=110
1950b “An alternative form of chi=square w E
Biometrika 37 , 448=451 51=345 F. N. DAVID and No L. JOHNSON
1948 “The probability integral transformation when parameters are estimated from the sample” EN Biometrika 35, 182=190 49=51
1951a “The effect of non=normality on the power function of the F~test in the analysis of variance*® GKN
Biometrika 38 , 43=57 o
= 15 ®
F. No DAVID and No L„ JOHNSON
1951b nA method of investigating the effect of non- normality and heterogeneity of variance on
' tests of the general linear hypothesis’*5 GKN Annals of Mathematical Statistics —22„ 38^= 392" 52-143
19^2 w, Ihe sensitivity of analysis of variance tests with respect to random between group variation’* , GK Trab & jos de Estadistiea 2 S 179=188
H» Ao DAVID
1951 f5 Further applications of rang© to the analysis of variance 2* GLP 3 Biometrika 3 3 P 39 =>4^9
So To DAVID c, Mo Go KENDALL * Ao STUART
1951 "‘Some questions of distribution in the theory of rank correlation 5* JNP
Biometrika 38 <, 131=140 52=85
0. Lo DAVIES and E„ S„ PEARSON
1934 ^'Methods of estimating from samples the population standard deviations 5* KL Journal of the Royal Statistical Society -- r *- — - - r-j Ct- uzm.-rsiv-x.Tu-s; n-a. rTT-mm-n-.' asrnm=s. Ho T DAVIS 1941 statistics of time series I Northwestern University studies in mathematics and the physical sciences 2 Mathematical Monographs X,, 45=85 42-175 E 0 Ho DAWSON p Mo DUEHRING s ¥0 E» PARKS 1947 **Addi tion of ground egg shell to dffisd ®gg for use in cooking 5* 0 Food Research 12 (4) a 288=297 W. Edwards DEMING 1938 !*Som© thoughts on curve fitting and the chi test* J Journal, of the American Statistic al -A ssociation 53 s> 545=551 — 16 “ W. J e DIXON 1940 M A criterion for testing the hypothesis that two samples are from the same population** PNP Annals of Mathematical Statistics 11, 199” mi——— 41-111 W. J* DIXON and P. J. MASSEY 1951 An introduction to statistical analysis A McC-raw-Hill Book C o . lfo~ Y V/, DIXON and A. MOOD 1946 "Ihe statistical sign test** GP Journal of the American Statistical Association E73F7--F5b Edward L* DODD I 923 ,? The greatest and the least variate under general laws of error *1 LN Transactions of the American~~Mathematical SocTe ty &5 , 525-^39 1939 ""The length of the cycles which result from the graduation of chance elements’* I Annals of Mathematical Statistics 10* 40-23 1941 w The cyclic effects of linear graduations persisting in the differences of the graduated values** I Annals of Mathematical Statistics 12, 127-136 42=10 1942 "Certain tests for randomness applied to datP grouped into small sets** I Econometrica 10 , 249-257 43=108 C* DOMB 1947 “"The problem of random Intervals on a line’* N Proceedings of the Cambridge Philosophical - - Society 13 ,- W-TiT 47-591 Je La D00B 1949 ^Heuristic approach to the Kolmogorov-Smirnov theorems* efn ( Annals of Mathematical Statistics 20, 393" 50-43 17 - p 0 Dubois 1939 ^Formulas and tables for rank correlation** JP Psychological Record 3,? 45”56 Jo DURBIN 1951 "incomplete blocks in ranking experiments*1 GM The British Journal of Psychology (Statistical 8j-9~0""" ^©ctTonJllg P» J. DYSON 1943 "A note on kurtosisw X Journal of the Royal Statistical Society 45=162 Ro Jo EDDXSON, Oe KEMP THORNE , Zo HOSKINS? Ho BARKWORTH, G o Po COX , Ao ROWIANDS 1951 "Keeping quality and raw-milk grading*® GM Journal of Dairy Research 18, 43=71 J 0 EDEN and Fo YATES 1933 ** 0n the validity of Fisher* s z=*test when applied to an actual example of non-normal data** K Journal of Agricultural Scienc e 23? 6-1? Po EGGLETON and W 0 Oo KERMAGK 1944 "it Problem in the random distribution of particles 9 * N Proceedings of the™~ Royal Society of Edin~ Burgh“T£ ? 163 -il5 45=88 Go I, EGUDIN 1947 "Certain relations between the moments of the distribution of extreme values in random samples** Dokl adv Akademip Nauk SSSR $ 8 , 1591=1584 48-295 Co EISENHAR? 1937 A contribution to the theory of testing s tati's tie aTliypo theses EN ' Unpublished ' theiis , Cniver si ty College, London - 18 - Co EISENHART 1938 w The power function of the ©hi=°square test’1 EN Bulletin of _the American Mathematical———Society 1947 59 The assumptions underlying the analysis of vari ance M ' Biome tries 3, 1 -21 47-593 Churchill EISENHART, Lola DEMING, Celia MARTIN 1949 "“The probability points of the distribution of the median in random samples from any continuous population 88 LN Armais of Mathematical Statistics 19* 598-599 Churchill EISENHART and P 0 U D WILSON 1943 “Statistical methods and control in bacteri- o logy88 EIO Bacteriological Review 7,p 57=137 Wo Palin ELDER TON 1902 8l TabX@s for testing goodness of fit of theory to observations 88 EP Bioroetrf ka 155-183 Go ELFVING and J e Ho WHITLOCK ’ 1950 88 A' simple trend test with application to erythrocyte size data 1' 8 10 Biome tries 282~288 Benjamin EPSTEIN and Milton SOBEL 1952 ?! Some tests based on the first r ordered observations drawn from an exponential distribution 88 L Annals of Mathematical Statistics 23, 143-144 Po ERDOS and Mo KAC 1947 !, 0n the number of positive sums of independent random variables 88 N Bulletin of the American Mathematical ' Society b3T~l'61l”lQ2tr~" 48-292 p s - 19 = F © ESSCHER sj 1924 0r» a method of determining correlation from the ranks of the variates” Skandinavisk Aktuari e tidskrif t 7 S 201-219 W 0 Duane EVANS 1942 5? Th© standard error of percentiles'* GN Journal of the American Statistical %iso5Ta!TairTnrj67=37G~~ 43=103 Ho Jo EYSENCK 1939 w ¥he validity of judgments as a function of the number of judges'* MO - Journal of Experimental Psychology 25 » 650- - Enrico FEDERIGHX 1950 w'?he use of chi-square in small samples 55 HN American Sociological Review 1% 9 777=779 William FELLER 1938 **Note on regions similar to the sample space 6* B S tat 1 s ti c al Research Memoir 2 9 117=125 1948 55 On the Kolmogorov“Smirnov limit theorems for empirical distributions'5 EFN Annals of Mathematical Statistics~ 19® 177= TW™ 48=599 1950 An introduction to probability~ theory~~ and TEs” a pTTca tio’n 9 iT ^Hapt er N 7foTm~¥i ley anlFsons,, fnc op "New York 51 424 1951 a The asymptotic distribution of th® range of sums of independent random variables” LN Annals of Mathematical Statistics 22 „ 427= "" ' ©2 52 140 Lo FES LINGER 1943 ”A statistical test for means of samples from skew populations 45 GK Psyehometrika 8* 205=210 44-128 a - 20 <=> L« FESTINGER 1946 “The significance of difference between means without reference to the frequency distri~ bution function 59 ' GP Psychome tri ka 11 , 97 ,=105 4? "43 D, Jo FINCH 195*0 “The effect of non~normali ty on the z=test, when used to compare the variances In two populations” KP Biometrlka 37 8 186=189 51=38 D o J 0 FINNEY 1941=42 “Review of 8 Significance test for time series’ by Wo A-o Wallace and Go Moore” I Annals of Eugenics 11 , 308 1947 “Significance of association in a square point lattice” IN Journal of the Royal Statistical Soc iety ^uppTT"9~7 9^=1 <5T" 48=291 1948 “The Flsher-Yates test of significance in 2x2 contingency tables’® HP Biometrlka 35 g 145=156 49=52 R. Ao FISHER 1922 “On the interpretation of chi=square from eontigeney tables, and the calculation of P w HN Journal of the Royal Statistical Society 12[r&r=^ 1923 “Statistical tests of agreement between observation and hypothesis” EN Economic 3, 139=147 P 1924 “The conditions under which % measures the discrepancy between observation and hypothesis” E Journal of the Royal Statistical~ Society— 1925 Statistical methods for research workers G 0lTver“ah3~B6yd, Edinburgh, Section ' R, A-o FISHER 1926a ” Bayes c theorem and the fourfold table*’ The Eugenics Review l& g 32=33 1926b n 0n the random sequence 51 IN Quarterly Journal of the Royal Meteorological Society 3?7^3^ 2 1928 ”0n a property connecting the x measure of discrepancy with the method of maximum likelihood*1 EN Bologna Atti del Congre aao Internationale H¥rMa^matrcT°T7”^°T^'Q The 1935 design- of experiments G ^Tver and Boyd s Edinburgh^ Section 21 19i4l ”The interpretation of experimental four- fold tables’1 H Science 94» 210=211 43=26 1945 5t A new test for 2x2 tables” H If ature 156 „ 388 ” I 95 O 'The significance of deviation from expectation in a Poisson series** EP ct Biometrics 6 S 17 24 Ro Aa FISHER and Lo Ho G„ TIPPETT 1928 ^Limiting forms of the frequency distribution of the largest or smallest member of a sample” LN Proceedings of the Cambridge Philosophical SocIgEy Ro A. FISHER and F 0 YATES 1948 Statistic al table s for biological^ agricultural^ and medic aTT7ese ar eh LP Hafner Publishing Co OJ No Y 0 49 =, ?hO Evelyn FIX and J® L® HODGES 9 Jr® 1950 Discriminatory analysis non=parametric dis = criminaHons consistency propertTes X Pre p ar^d^aF“Ehe~U?ii v e r s 1 tyhof’ITal i forni a ) under Contract No 0 AF41 ^128 =31 9 e - 22 - D „ Ao So FRASER 1950 ”Note on the chi-square smooth test" EN Bioroe trika =’ 51-345 37 , » 447 448 1951 ^Sequentially determined statistically equivalent blocks” D Annals of Mathematical Statistics 22, 372= 3FT ’ 52=260 Do A-o So FRASER and Ro WORMLEX GH TON !l 1951 Non=para:me trie estimation 0 XV” D Annals of Mathematical“ Statistics “22, 294 51-841 Mo FRECHET 1927 5, Sur la loi de probabilite de I'ecart maximum” , LN Annales de la Socle te Polonaise de Mathe - ” ” matFque' 6, 92 = 11.6 1937 Recherches theoriques mod rnes sur la "FEeorie des probability^: AC &authier-ViTl ars , Pari s", “123-126 1947 ”The general relation between the mean and mode for a discontinuous variate” X Annals of~~Mathematical Statistics 18, 290= 48=45 Go Ho FREEMAN and Jo H 0 HAL TON 1951 ”Note of an exact treatment of contingency, goodness of fit and o ther qaro bl e ms of significance” GH Biome trika 38 , 1 i) 1 -1 i ; 52-145 John FREUND w 1951 Th@ transfer distribution” IN Mathematics Magazine 25, 63=66 Milton FRIEDMAN ' - v ?• . 1937 The use of ranks to avoid the assumption of normality implicit in the analysis of variance” GNP Journal of the American Statistical" Association~ 2 - 23 - Milton FRIEDMAN 1940 W A comparison of alternative tests of significance for the problem of m rankings* MNP Annals of Mathematical Statistics 11, 86- - " "" — VT" 40-348 Thorn ton c* FRY 1938 , 5 Th© test of significance* E Journal of th© American Statistical John So FULCHER 1942 *The Item analyzers a mechanical device for treating the four-fold table in large samples* HP Journal of Applied Psychology 26 , 511 -522 Robert GAGE 1943 ^Contents of Tippett 8 s J Random sampling numbers * 51 10 Journal of the American Statistical 43=223 Robert S 0 GARDNER *A. non-parametric test of the hypothesis that two bivariate samples come from the same population* FN Appendix from Technical Memo No 0 4542-33 NavaX'^rdn anc e Test Station, fnyokern, California (Undated MiSteograph)* 1-4 51=193 D. No GART^TE^N ) 1948 *0n certain limit laws for the range* LN Doklady Akademiya Nauk SSSR 60 , 1119=1121 49=51 Fo GAUSS kW'm'fy JRSS T oO'-fy y’ — rp ~) 1821 *Theoria combinationis observationum* C Werke - Volume Kaestner, Gottingen, 1880 A» K. GAYEN M 1949 The distribution of Student^ i t in random samples of any size drawn from non-normal universes* KP Biome trika 36 , 353=369 50-497 - 24 - A« K e G-AYEN 1950a 88 The distribution of the variance ratio In random samples of any size drawn from non- normal universes” OP Biome trika 3? 9 236 -255 51=345 1950b ^Significance of difference between the mean 6 of two non-normal samples * GKP Biome trika 37 „ 399=408 51=345 1951 ^The frequency distribution of the product- moment correlation coefficient in random samples of any size drawn from non-normal universes 81 JNP Biome trika 38 9 219-247 52-86 P.o Go GEARY 8?: 8 1936 The distribution of * Student s» ratio for non-normal samples” KN Journal of the Royal Statistical Society ggpprrr, i?b 1947 19 Testing for normality” EKP Biome trika 34s 209-242 48=364 Hans GEBELE1N 1942 n Verfahren zur Beurteilung einer sehr geringen Korrelation zwischen zwei s tatis tischen MerkmaisreXahen” H Zeitschrift fur angewandte Mathematik und — 45-6 Maria-Pia GEPPERT 1944 wUber den Vergleich zweier beobachteter Haufig&elten 88 H Deutsche Mathematik 7# 553=592 47-393 Mo No GHOSH 1948 test for field uniformity based on the spaced__correlation method” IN Sankhya 36=48 49-389 Me GILDEMEISTER and B, L. van der WAERDEN 1943-44 ”Die Zulassigkeit des x^=Kriteriums fur kleine VersuchszahXen 8 * HN Beriehte u^er die Verhandl ungen der Sachs ischen AESemTe^er Wissenschaf ten $u Leipzig® ’ Ma tKema t i s ch=Na turw i s s en s c h af tl i c he K1 as s e 957 145-15TT~“ 47-394 - 2$ - W. GLEISSBERG 1945* wEine Aufgafee der Kombinatorik und W&hrscheinlichkei tsreo^Mmidg 1® INP Revue d© la F&euXt© deg Sciences d© I'Universite ' • 46=4^8 1945b wEin Kriterium fur die Re all tat zyklischer Variationen** I Review of the Faculty of Science of the WHviFii^y o an b Sl_ TEJ^TO s 35*52” 47=40 1947 ' 3 Bedingungen fur die Anordnung sufalllger Feliler 5* N Review of the Faculty of S c ience of the ^lyeriity of 4?°590 h# jo Gmwm w 1944 Inequali ties related to Tchebychsff s s inequality *5 AC Ministry of gupply Advisory Servi ce on IkE a t i¥tl^ar*^i^^a°°md" Qu^ troT Te chnTcaIT¥por t^WoT^QC 7K7i J TT4 Fe^nT 1948 nk further note on the mean deviation** LN Biometrika 35 p 304=309 49=387 1949 *®Some low moments of order a ts.tis tics** LP Annals of Mathematical Statistics 2.0 - " ~ ““ a 279=2® ~“ 49=722 Ea GOLD 1929 wNot@ on the frequency of occurrences of events in series of two types** INO Quarterly Journal of the Royal Meteorological B c7cTeTy^|^^3UT" W. G0NTCHAR0FF 1942 M Sur la distribution des cycles dans lea pe rraut ati on s w N Co Ro Akademiya, Sci^_URSS 35* 267-^69 43=102 1943 "Sur la succession des eVenements dans une series d fl ©preuves ind©p©ndanf es rewpondant au scheme de Bernoulli** N Co Ro Akademiya Selo URSS 38 , 283=285 44=124 = 26 W, GONTCHAROFF1944 "Du domain© de 1 » analyse combinatoire" N Iz.vesti a Akademi Nauk SSSR 85 3 "48 45°88 1945 S 0 GOUDSMIT "Random distribution of lines in a pi an© 1* N Reviews of Modern Physics 17 9 321 <=322 46”3°9 Jo s e ph A . GREENW0 OD 1938 "Variance of a general matching problem ’ 8 N Annals of Mathematical Statistics 9 <> 56»59 1940 “The first four moments of a general matching 1946 problem 11 N Annals of Eugenics 10 , 290-292 41-22.8 8 1943 "* preferential matching problem ' M Psychome trika 8 , 18^-191 44-127 "The statistical study of infectious diseases" IN Journal of the Royal Statistical Society 109* ~ — 47-591 M. L® GREENWOOD and R. SALERNO 1949 "I alatabili ty of kale in relation to cooking procedure and variety" MO Food Research 14 $ 3l4”319 T* N» E e GREVILLE 1941 "The frequency distribution of a general matching problem" M Annals of Mathematical Statistics 12t s 350”354 T. Wo E. GREVILLE 1944 “On multiple matching with one variable deck" N Annals of Mathematical Statistics —15, 432= m ' 45-232 Hans GRUNEBERG and J. B. HALDANE 1937 "Tests of goodness of fit applied to records of Mendell an segregation in mice" E0 Biome trika 29, 144 ”153 2 7 - 27 - GULDBERG 1922 "Sur un theorems de M* Markoff" C Comptes Rendus (Paris) 175 , 679=880 E. J* GUMBEL 1942 1935 u Les valours extremes des distributions statistiques" . LN ? Annales de l Instltut Ho Poincare 5 , 11 5- 158 "^imple tests for given hypotheses 48 E Bi ometpika 32, 317-333 43-26 1943 "On the reliability of the classical chi- square test" E Annals of Mathematical Statistics -a14* 253° 45-9 1944 Ganges and midranges*9 LN Annals of Mathematical Statistics 15, l\lL\.~l±22 45=182 194^ "On the independence of the extremes in a. sample 51 LN Annals of Mathematical Statistics 17 * ?8-8l 48=484 1947& "The distribution of the range 91 LNP Jgrmals of Mathematical~ Statistics 18* 384= IT1 ~ 48-195 1947b "The asymptotic distribution of the range 11 LN Bulletin of the ‘American Mathematical Society ~~ 1949 "Probability tables for the range" LNP Biometrika 38 s 142=148 50-52 E. Jo GUMBEL and J c Arthur GREENWOOD 1951 "Tables of the asymptotic distribution of the second extreme" LNP Annals of Mathematical Statistics 22* 121-124 51=821 E. Jo GUMBEL and Ro Do KINNEY 1950a "The geometric range for distributions of the Cauchy type" LNP Annals of Mathematical Statistics 21, 133=137 50-448 « ) - 28 - E* J„ GUMBEL and R* D® KINNEY 9 1950b ^The extremal quotient® ' LNP Annals of Mathematical Statistics 21, 523 =53 8 51 “428 E o J 0 GUMBEL and H. von SCHELLING 1950 ®*The distribution of the number of exceed ances®* DN.P Annals of Mathematical Statistics 21, 247=262 , 50=732 Hansr&j GUPTA l 1950 * Tables of distribution? A table of values tt of Liouville 1 s function L ( t NP 1946 Research Bulletin of the East P unjab University 1 Mathemat ics]"No s ~ 51 “750 Louis GUTTMAN ,8,cin approach for quantifying paired comparisons and rank order** MO Annals of Mathematical Statistics 17 , I 4 I1-I 63 47=41 1948a w^n inequality for kurtosis®* GX 1947 Annals of Mathematical Statistics 19, 277=2 78 48=599 1948^ S? A distri buti on-free condifence interval for the mean®1 CG Annals of Mathematical Statistics 19? 410-413 49=135 H® G e HADEN “A note on the distribution of the different 1948 orderings of n objects 5 * N Proceedings of the Cambridge Philosophi c al SocTe5y^J~5°r^9~^^ ” 47-160 Ho HADWIGER * a 1943 *Uber gleichwahrscheinliche Auf teilungen® N Zeitschrift fuV angewandt© Mathemat ik und MecHinTFT?7'TE6=252 44=124 s9Eine Bemerkung uber zufallige Anordnungen der naturlichen Zahlem®® N Mitteilungen der Vereinigung Schweizerlscher VeFsi cherung sma them a ti ke r Hpr 48=406 Jo B s s 4 HALDANE 1937 51 The exact value of the moments of the distri = bution of x> used as a test of goodness of 9 fit when expectations are small * EN Biome trika 29 , 133=143 - 29 - J„ Bo So HALDANE 1939 "The mean and variance of x^s> when used as a test of homogeneity 9 when expectations are small n HN Biome trika 31 9 346-355 40-346 1 1949 "Some statistical problems arising in genetics * A Journal of the Royal Statistical Society (B) “ irri-“I4" ; “ 51=431 Jo Bo s 0 HALDANE and C 0 A® B 0 SMITH 1948 "A simple exact test for hirfh-order effect 11 INOP Annals of Eugenics 117-124 Paul Ro HALMOS 1950 Measure theory C Do van Ncstrand Company , Inc op New York s 196 5 200 50-504 James F 0 HANNAN 1950 *Bome tests based on the empirical distribution function 51 EN Annals of Mathematical Statistics 21 s 312=313 H® 0o HARTLEY 9 1942 "The range in random samples * LN == Biome trika 32 9 334 348 43=21 1950a "The use of range in analysis of variance® GLNP Biome trika 37, 271-280 - 51-621 1950b "The maximum F=ratio as a short-cut test for heterogeneity of variance" GLNP Biome trika 37 $ 308=312 51=345 Cecil HASTINGS , Jr 0 Frederick MOS TELLER , John W® TUKEYa Charles P 0 WINSOR 1947 "Low moments for small samples? A comparative study of order statistics" KLNP Annals of Mathematical Statistics 18* 413-426 48"195 Chikio HAYASHI* 1950 "Fragments of a new test formula of normality 11 GLN Annals of the Institute of Statistical Mathematics, T7 125-130'”TToEyo}— 5l=36 w 30 - Jo HEMELRIJK 1949 ^Construction of a confidence region for a llne w J Indag at lone s Mathematic ae 11 9 374-384 ~ 50=529 1950a iS, A family of parameter=free tests for symmetry with respect „to a given point I„ n EF Indag at iones Mathematics ' 12 , 34°=350 51 “37 1950b A family of parame ter®free tests for symmetry w with respect to a given point IT e EFG Indagationes Mathematic ae 12 g 419=431 51=429 1950c Symme trie toe tgen en andere toepassingen vaad® theorie and Pearson J EFG 8 ExceXslors Foto=0f f sei^ s=Gravenhage 9 91=94 51=511 1950d A symmetry test EFG ^athematlsch Centrum Amsterdam*, Report ZW» 1950-015$ 9 51-622 w 1952 Note on Wileoxon 8 s two»sample test when ties are present’* GN Annals of Mathematical Statistics 23$, 133-135 Albert Go HIRSCHMANN 1943 |!i 0n measures of dispersion for a finite distri- but! on 1 K Journal of the American Stati stical Assoc iation ’ 8,85 44-42 J e rJ 1950 "Some problems in minimax point es tirnation tt BG Annals of Mathematical Statistics —21, l82=, wr o-'-— — 51-36 Wassily HOEFFDING 1947 ,s> 0n the distribution of the rank correlation coeff ic xentj^ when the variates are not independent”"* JN Biome fcrika 34 ? 183-196 48=364 1948a "A class of statistics with asymptotically normal distributions** ABN Annals of Mathematical Statistics 19 $ 293=325 49-134 9 Wassily HOEFFDING 19i+8b non-params trie test of independence 4* JNP Annals of Mathematical Statistics 19» 548= 557“ " 49 “554 w 1950 Optimum 8 nonpar am© trie tests* 4* BE Proceedings of the Second Berkeley Symposium “ “"”“”^ Uhiver sTty^of 'RTalXforni a Pr a s s , 8'J- 2 1951® ^A combinatorial central limit theorem 4 * N Annals of Mathematical Statistics 22 9 558= i?6fo 52“363 1951b **Th@ large “Sample power of tests based on permutations of observations 4* B Annals of Mathematical Statistics —22, 60? Wassily HOEFFDING abd Herbert ROBBINS ... t 1948 ' 4 The central limit theorem for dependent random variables 3* N Duke Mathematical Journal 1_5 g 773=780 49=200 Paul- Go HOEL 1938 ®0n the chi-square distribution for small samples 9* EN © Annals of Mathematical Statistics 9* 158*165 Jo HOMMA 1951 59 0n the asymptotic independence of order s tatisfcl.es 44 LN Repor ts of Statistical Applicati on Research UnJorT of Japanese “HcTin¥i¥ts~ andTEngineers Trg-“““““— -1„ D* HORN 1942 correction for the effect of tied ranks on the value of the rank difference correlation coefficient 44 J Journal of Eductional Psychology 33 * 686 \ Hans HORNICH \ 1941 ,4 Zur Theorie des Ri3ikos** X Monatshefte fur Mathematik und Physik 50 s ' 142^150 “ 45“4 32 - Harpid HOTELLING 194? "Effects of non=normality at high significance levels *9 K Annals of Mathematical Statistics X 8 608= m — “ „ Harold HOTELLING and Margaret Richards PABST 1936 "Rank correlation and tests of significance involving no assumption of normality" JN Annals of Mathematical Statistics 7s 29"43 P, Lo HSU 1945 "The approximate distribution of the mean and variance of a sample of independent vari ables" KN Annals of Mathematical Statistics 16 1=29 ,9 43=233 J 0 Oo IRWIN 1949 "A note on the subdivision of chi=square into components" H Blame trika 36 , 130=134 50-526 Mo Ho IRWIN and George U 0 SNEDECOR 1933 "On the chi=square for homogeneity" H .Iowa State College Journal of Science 8, Ernest I SING 1925 "Beitrag exit Theorie des Ferromagnetigroas'" N Zeitschrift fttr Physik 31, 253=258 Jar o Slav JANKO 1930 "Advances in the theory of non=parame trie tests in statistical ^inference" A. ^asopis pro Pestovani Matematiky a Fysiky 74» 62=74™~ 51-429 Harold JEFFREYS 1937 "The tests for sampling differences and contingency" H Proceedings of the Royal Society of London - 33 - Leonard1 G, JOHNSON 1952 ”A method of reducing the time required to complete certain fatigue tests” L Annals of Mathematical Statist ics - li .I . 23^ 4 1 No Lo JOHNSON 1948 “Tests of significance in the variate difference method 9* IN Bioms trika 354 206<=209 49=51 A, E 0 JONES 1946 *A useful method for the routine estimation of dispersion from large samples ’1 LP Biome trika 33 P 2 74=202 . 47=42 Herbert E« JONES 1937 “The theory of runs as applied to time series” 10 Report of the Third Annual Research Con° C owTelT”C ormn£1 sion 33=36' ,9 Howard L o JONES 1946 “Exact lower moments of order statistics in small samples from a normal distribution” LP Annals of Mathematical Statistics 270= - ' 19^ " " ————— £ 73 — 48=601 ^ B. Ho de JONGH 1941 ^General minimum=prob ability theorem” C Koninklijke ^ederlandse Akademie van . 42=168 We te n s chapp'en^Tro c e^clXng s 44 .q ?3b=743 Co Eo JORGENSEN 1947 “Table for determining phi coefficients” HP Psychome trika 12 p 17=29 - 47=477 L. KAARSEMAKER and Ao van WIJNGAARDEN 1952 Tables for use in rank correlation JP Mimeographed Report No 0 ft? 3 £rom the Computation Department of the Mathematical Centre Amsterdam — - 34 - Mo KAC 1949 deviations between theoretical and empirical distributions 5 ® EN Proceedings of the National Academy of ° Sci^enc'esiUaSoA-eT 35 » 2311 25 7 49~6i4 S e Go' KANELL08 41 1® 194.8 Two problems of the, 9, al cuius of probability N Bulletin de la Socle te Mathematlque de &rece~23 48=4-6 s, Irving KAPLANSKY 1945 a **Th© asymptotic distribution of runs of consecutive elements 8 ® NP Annals of Mathematical Statistics 16 9 200= ^03“— — 46=208 ®*A' 194. 5’b common error concerning kurtosis®® X Journal of_ the Ame rican Statistical j^crmonn^rwr 46=20 Irving KAPLANSKY and John RIORDAN 1945 ^Multiple matching and runs by the symbolic me tiled *®1 N Annals of Mathematical Statistics —16$ 272= ^7T““^ 46=309 w 1® 1 194-6 Th@ problem of the rooks and its applications N Duke Mat faema ti c al Journ al 13 g 259“26o 46=508 Tatsuo KAWATA ,f Limit distributions of single order s tat istics®®: LN Reports of Statist! c al Application Research Union of "Japan® S' ©^cTentia ts “^Ed^ngini'^s^” I7TP9 — 52=142 Oscar KEMP THORNE 195’2 The design and analy si s of experiments G ^ErTl^TT©y”^n3^ons Inc V* NevTYork s 1= 83 I p chapters 7 and 8 Mo Go KENDALL 1938 ®*A- new measure of rank correlation®® JNP Biome trika 30® 8l=93 8 4 - 35 - Mo Go KENDALL 1940 “Note on the distribution of quantiles for large samples®* LN Supplemen t to the Journal of the Royal HtatTs tlcal Society ?/ S3 ”85 41=231 19i|2.a “Note on the estimation of a ranking’* mn Journal of the Royal Statistical Society,* 43=107 r- 1942b “Partial rank correlation" JN Biome trika 32 t 277=283 43=22 1945 “The treatment of ties in ranking problems’* JN Biome trika 33 P 239=251 47=41 1947 “The variance of 'f* when both rankings contain ties" JN Biome trika 297=® 3k s> 29 48=453 194^ a Rank correlation methods AJMN Charles GrTffin and Coo"s Ltdo S London 1948L The advanced theory of statistics J GEiSFXes GrTfTin ana Co*. p ttcL p London Chapter 16 1949 “Rank and produc t=moment correlation" JN Biome trika 36 s 177=193 50=673 Mo Go KENDALL SheilaF, H 0 KENDALL s B e Babingtdh SMITH 1933 "The distribution of Spearman's coefficient of rank correlation in a universe in which all rankings occur an equal number of times" JNP Biome trika 3_Q g 25 1=2 73 Me Go KENDALL and Bo Babington SMITH 1938 "Randomness and random sampling numbers” 10 Journal of the Royal— Statistical Society TUI7^T°T72 1939® Tables of random sampling numbers IP ^act?7'o1F”cibmputers No. “2 1939b "Second paper on random sampling numbers" 10 to, the Journal of the Royal . Supplement ~" StatTitTealSoci^ety 6 f 5i=kl — “ Mo Go KENDALL and Bo Babington SMITH 1939c “The problem of m rankings® MNP Annals of Mathematical Statistics ~~10*, 275= W~“ 40“23 1939d “On the method of paired comparisons® MNP Biometrika 31 9 324=345 41 -in So Mo KERAWALA I 9 I4.8 “On bounds of skewness and kurtosis® X Bulletin of the Calcutta Mathematical 'SocTeTy 1 49=134 W e 0o KERMACK and Go MeKENDRICK 1937a ,5 Tests for randomness in a series of observations® IN Proceedings of the Royal Society of Edinburgh 1937b "Some distributions associated with a randomly arranged set of numbers® IN Proceedings of the Royal Society of EaihbSFgh ^rrii^TTr—• 1940 “The design and interpretation of experiments based on a four-fold table? the statistical assessment of the effect of treatment® H Proceedings of the Royal Society of Edinburgh Mr 41-236 Salem H„ KHAWS 1990 “A note on the general Chebycheff inequality® C Proceeding of the In ternational Congress of"' 'Mafeema^ETc§~ T7^S^5T^TpuBTTilied¥y“ American Mathematical Society^, 1952) Bradford P c KIMBALL 1947 “Some basic theorems for developing tests of fit for the case of the non-parametrie distribution function^ I n EN Annals of Mathematical Statistics l8 fl 540= 48-225 1950 ®0n the asymptotic distribution of the sum of powers of unit frequency differences® N Annals of Mathematical Statistics 21 „ 263 = ' ” “ “S71 50=673 i - 37 A„ N o KOLMOGOROPF * 4? 1928 ,, Uber die Summed dureh den zufall hestimmter t unabh’angiger Gross on** c Mathematische Annalep 99 9 309*319 1933 "Sulla de terminazione empirica di una legge di distribuzione * 9 EFN Giornale dell ? Ins tl tut*.~~~ Italiano degli m A t tu ar 4 g 3 9 1 1941 "Confidence limits for an unknown distri- bution function** EFNP Annals of Mathematical Statistics ~~12, I16I- WT 43 * 2^ 1950 Foundations of the theory of probability C Chelseaj, New York*, 42 =43 (translated by Nathan Morrison) 50=274 Ao No KOLMOGOROV and Ao Ya HINCIN 1951 "The work of No V 0 Smirnov on the investigation of properties of variational series and on nonparame trie problems of mathematical statistics** A Uspehi Matemati^eskih Nauk (N®S 0 6 No„4 ~ ) P u^fr^biiw ” 52=198 P 9 Vo KRISHNA IYER 1947 "Random association of points on a lattice** N Nature 160 5 714 11 1948 The theory of probability distributions 5 of points on a line" N Journal of the Indian Society—— of Agric ultural— ^fatTiFTc s “ 50*448 1949a "Calculation of factorial moments of certain probability distributions** N Nature I64 g 282 19498 ll The first and second moments of some probability distributions arising from points on a lattice and their applications 1* N Biome trika 38 9 135=141 - 50-607 1950a. "The theory of probability distribution of points on a lattice** NP Annals of Mathematical Statistics 21, 198 - ' TTf ‘ 50=732 I 7 2 == 38 = p 0 Vo KRISHNA IYER 1950b "Runs up and down on a lattice** N <=, Nature 166 p 2?6 5l 84l 1950° "Further contribution to the theory of probability distributions of points on a line I s N the Indian Society of icultural Journal of ~ Agr BTatTstTcs^ 3 Harass 5l”271 1961® "A non-parametric method of testing k samples*9 F Nature 16 » 33 1951b "Further contributions to the theory of probability distributions of points on a line III9 N Journal of the Indian Soci ety of Agricultural < 5¥ati^tTcs' 3 / BO-°93" " 52=142 P 0 Vo KRISHNA IYER and Bo Vo SUKHATME 1949 "Probability distribution of points on a line" N Science and Culture 15 s 200 William KRUSKAL 1952 "A nonparame trie analogue based upon 1 ranks of one-way analysis of variance * GN Arm ais of Mathematical. Statistics 23 s - 140 Solomon KULLBACK 1939 "Note on a matching problem" N 77=Btr——“—Annals of Mathematical——————Statistics —10« K« KUNI SAWA 5 Ho MAKABE s H 0 MORI MURA .1951 "Tables of confidence bands for the pop-= ulation distribution function" F? Reports of Statistical Application Research ^ Umlon oi "Japanese ScTentists and Engineers”* Y7TT~M KITZNETS 1929 "u andom events and cyclical oscillations" IN Journal of the American Statistical Asso- FTiRT5n""247 '255=275" Jo LADERMAN of 5 1939 ®The d is tribution^ Student's » ratio for samples of two items drawn from non» normal universe s n K Annals of Mathematical—Statistics—— —10. 37b" 40-153 Ho 0o LANCASTER 1949 n'The deviation and partitions of chi= square in certain discrete dis tributions** H Biometrika 117-129 51=191 Eo Lo LEHMANN 1951 "Consistency and unbiasedness of certain non=parametrie tests" AEF Annals-"of Mathematical Statistics __22. 165= TTT 51=126 Eo Lo LEHMANN and C« STEIN 1949 *f Qn the theory of some non-par ame trie hypotheses" B Annals of Mathematical Statistics 20. 28= 49=723 Po Ho LESLIE 1951 "The calcula tion of chi-square for an rxc contingency table** H Biometrics 7,0 283=286 Pamela C. V c LESSER X933> "Note on the shrinkage of physical characters of man and woman with age p as an illustration of the use of P methods'* EO Biometrika 25 197=202 C„ Eo Vo LESSER 1942 "Inequalities for multivariate frequency di stri buttons'* CP Biometrika 32 9 281;<=293 43=13 Ho LEVENE 1946 a MA test of randomness in two dimensions’* IN Bulletin of the American Mathematical™ ‘SFcTeTy 5^4 621 «=> if.0 = H© LEVEWE 1946b WA test of randomness in two dimensions*1 I Annals of Mathematical~ Statistics —17* JUU — 1952. M 0n the power function of tests of randomness ba®3S on runs up and down"* BINP Annals of Mathematical Statistics 23 34= — * Ho LEVENE and J* WOLFOWITZ 191+4 ** The covariance matrix of runs up and down” IN Annals of Mathematical Statistics 1 58= " ~5* 69 1+4=208 Eo LORD 1947 n The use of range in place of standard deviations in the t = test ,9: LP Biometri ka 34* 1+1 1+7=394 Eo L URQUIN I.922 "Sur le criterium de Tche bycheff 1 * C Comptes Rendus (Paris) 175* 681=685 Co MACK 191+8 w An exact formula for Q^(n)* the probable number of k=aggregates in a random distri= bution of n points;9* N Philosophical Magazine (7) 39* 778=790 1+9=310 P 0 Ao MAC MAHON 1917 Combinatory Analysis Cambridge N C^BrTHge”^ LEiversTty Press*/Englandf 1 8 7*216 WQ MAC STEWART I9I+I nA note on the power function of the sign 7 test ** OrNP Annals of Mathematical Statistics 12 * 236=239 1+ 2=8 William 0 o MADOW 191+8 ss 0n the limiting distribution of estimates based on samples from finite universes 1 * IB Annals of Mathematical Statistics 19* 535 51+5 50=551+ t a Donald MAINLAND 194® "Statistical methods in medical research*, ' Xo Qualitative statistics (enumeration data) 99 HOP Canadian Journal of Research 26 „ 1-166 S» MALMQTJIST 195 D w 0n a property of order statistics from a rectangular distribution 9* EN Skandlnavi sk Aktuarletidskrif t 33 ? 214=222 51-725 Henry Bo MANN 1945a ^Nonpar ame tri c tests against trend" IN Ec pnome trie a 13 , 245 =239 46=21 1945^ "0n a test for randomness based on signs of differences 91. IN Annal s of Mathematical Statistics 16 9 193=199 46=22 M 1950 Nonpar ame trie tests against trend" IP S tati stical i nference in dynami c e conomic mo_d^s4""cHa^eF°X^7~°^o ~ ahcT Sons s The oTT^ ew YorF Ho Bo MANN and Ao WALD 1942 "On the choice of the number of class intervals in the application of the chi-square test" E Annals of Ma hemati c al S t ati s t is 13 s 306=31? 43=105 Ho Bo MANN and Do R 0 WHITNEY 1947 "On a test of whether one or two random variables is stochastically larger than the other 9’ 9 GNP Annals of Mathematical Statistics 18 P 90=60 48=151 Ko MARBE 1926 Mathemati sche Beuerkongen IN- C » Hi “BecF7~T®nchen ana Berlin, 8=9 1934 Grund fragen der angevr andten Wahr s c he i nil c h° keitsre chung urd" thecretln sober- St ati s tik'" IN Co Ho BecIT, Mun elie '’‘ail'd' BerlTnT" 2F Ac MARKOFF C TEesTs^tTn Russian ) 9 St Q Petersburg 42' = Ao MARKOFF 1924 0 al e ulus of probability Soviet ^res’s, Moseow7"4bh edition 588 (in Russian) Andrew W , MARSHALL 1951 ®A large sample test of the hypothesis that one of two random variables is stochastically larger than the other 311 FGN •Journal of the American Statistical Asso= - . 62=260- Andrew W MARSHALL and John E 0 WALSH 1950a wSome tests for comparing percentage points of two arbitrarily continuous populations w G Proceedings of the Interna tional Congress ..of Mathematics X_ 5 5^82=583 Tp^brishid^ytHe Xme rfc an Mathsma ti c al Society & 1952) 1950b Some tests for comparing percentage points oi^Two nnou s 'populations'" GNP 51- ’Project RAND= P e T33T'~Ki¥i 3©d~lT Aug7T950 s Santa Monica^ California Frank J 0 MASSEY s, Jr o 1950a “A note on the estimation of a distribution function by confidence limits® ENP Annals of Mathematical Statistics 21 s 116=119 50 446 1950b note on the power of a non=par airie trie test** E Annals of Mathematical Statistics 21 p 440=443 117 1951a The Kolmogorov=Smirnov test for goodness of fit 95 ' EFP Journal of the American Statistical Association ' — 1951b 44 The distribution of the maximum deviation between two sample cumulative step functions 54 FWP Annals of Mathematical Statistics 22 9 125 =>128 51-621 1951c 44 A note on a two sample test 14 FN Annals of Mathematical Statistics ~~22 0 304= JOT"" 51=841 4 P - 43 - Motosaburo MASUYAMA 1942 *Phe Bienayme-Teche bycheff inequality for Hermitic tensors” C Proceedings of the Physical “Mathematical 46-310 K» Ko MATHEN 19 ^ ”A- criterion for testing whether two samples have come from the same population without assuming the nature of the population” F Sankhya 329 47=44 Harold C. MATHI SEN 1943 method of testing the hypothesis that two samples are from the same population** FNP Annals of Mathematical Statistics 14 ? l88=> 44-128 Jo G 0 MAULDON 1951 ^Random division of an interval” N Proceedings of the Cambridge Philosophical Society ‘gT73TIrJ5H' 51 “721 Philip Jo McCarthy W 194? 'Approximate solutions for means and variances in a certain class of box problems” NP Canals of Mathematical Statistics 183 349=383 50-41 Ao Jo Me KAY 1935 distribution of the difference between the extreme observation and the sample mean in samples of n from a normal universe” LNP Biome trika 27? 486 “471 Brockway Me MILLAN 1949 Spread of minima in large samples” LN Ann alg_ of Ma thema ti c al S t a ti sties 20 9 444=447 52-479 Be ME IDE LI, % / 1922 8 'Sur un problems du calculi des probabilites at les atatiistiquQS matheraatiques* c { « C©mp te 3 R e ndus ari aJ 175 p 806 1 t t ” 44 ® Bo KEIDELL ® 1923 ,;*Sur la probabilite des erreurs 4 G Comptes Rendus (Paris) 1?6 $ 280-282 Hiroshi M1DZUN0 1950 “On certain groups of inequalities confidence intervals for the mean™ C Annals of the Institute of Statistical Mather^ 51=509 Go MI HO® \ / 19q3 Sip? le problem© des iterations dans une suite 9 d epreuves^ ^ ^ IN Bulletin Ma themat i qu© de la Socle te Roumaine ~~ des ScienceiT^T Bl^T” 46=19 p 194-9 La loi, limite de la probabilite^ des noxnhres des iterations de longueur donne-® N Academia Republicii Populare Romane Bucharest ' Buimfin^ntlTfo^ •' " 52=363 Ro von MISES' 1931a ?s TJber einige Absch'ftzungen von Erwartungswerten’® X fur die angewandte Mathematik Journal Heine und - - 1931b Walm^scheinli chkei tsrechnung CE neuti^lleT^ i 1936 t! La distribution de la plus grande de n valeurs*® LN Revue de l” Uni on In e r balk ani que X_ <, 1=20 1939 a 55 An inequality for the moments of a dis = continuous distribution” X Skandinavisk Aktuarietisdkrif 1939 d 32=36 40 =22 n 1939 > The limits of a distribution function if two expected values aj?e given” C == Annals of Mathematical Statistics 10 9 99 104 A, Mo MOOD 1940 ,f !he distribution theory of rune” 1 N Annals of Mathematical Statistics lip 367=392 41=228 s i “45 bo Mo MOOD 1941 ,9 0n the joint distribution of the median in s amp I e s from a mul tivari a te popul at on n ^ LN Annalg of thematlcai S tati stie s 12. 268=278 42=172 __ _ _ f^ s 1949 "‘Tests of independence in contingency tables as unconditional tests 1* H iUina3. 3 __of _Ma._t.he mat 1 c al S ta ti a t i c a 20 114-116 j _ 9 49=466 1950 Introduction to the theory of statistics G JN McGraw-Hill Book Co,IJjTew York 50-445 P e Go MOORE 19179 6i 4 test for randomness in a sequence of two alternatives involving a 2x 2 table 81 IN Bi ome trika 36 s 305=316 50=447 Geoffrey MOORE and W„ ho WALLIS w 1943 Time series significance tes-cs based on signs of differences** INP Journal of the American Statistical Assc= 43=281 Po A o P. MORAN 1947 a ^Random associations on a lattice** IN Proceedings of the Cambridge Philosophical 47=592 194?b **0n the method of paired comparisons** MN Biometrika 34 9 363=365 46=363 T 1947c "Rank correlation and a paper by Ho Go U Proceedings of the C arnb ri dge PMjl o ophi c al ^ ^ " ' - 194?^ "The random division of an interval'"' N Journal of the Royal Statistical Society snnrw^ 48=291 wi 19 i|.8 a *ank correlation and permutation distri= butions iS JN Proceedings of the Cambridge Philosophical 48=263 19466 **Rank correlation and pro4uct=saoment correlation*VJP Biometrika 35 a 2.03=2.06 48=454 — - 46 - Po A 0 Po MORAN 1948c w The interpretation of statistical maps” IN Journal of the Royal Statistical Society (B) .... — 49=550 1950a “Recent developments in ranking theory” J Journal of the Royal Statistical Society (B) 12 , 153-152 51=725 1950b WA curvilinear ranking test” JN^ Journal of the Royal. Statistical Society (B) 51=841 1951a *®Th@ random division of an interval s II” IN TTTT^mJournal of the Royal Statistical Society (B) 1951b ^Partial and multiple rank correlation” JNP Biome trika 38 a 26-32 52=141 Sigeiti MORIG-UTX 1951 ^Extremal properties of extreme value distri- butions n LKN Annals of Mathematical Statistics 22 s 523=536 Mo Jo MORONEY 1951 Facts from figure s EGHJ Pel 1 c an~BooKl- A Pengun Book Corp,, ^ Baltimore Chapters 15 and id Jack MOSHMAN 1952 ^Testing a straggler mean in a two-way class- ification using the range 11 LP Annals of Mathematical Statistics 23 9 126=132 Frederick MOS TELLER 1941 wNot© on an application of runs to quality control charts” AINOP Annals of Mathematical Statistics 12 9 228=232. 42=10 w 1946 0n some useful ’inefficient 8 statistics” LNP Annals of Mathematical Statistics 17 9 377=408 47=477 a s «=> => 1|_Y Frederick MO8 TELLER 1946 ?? A- k- sample slippage test for an extreme pop- ulation GNP Annals -of Mathematical Statistics 19.» 58-65 48=454 F c MOS TELLER and j7 W 0 TUKEY 1950 ^Significance levels for a k- sample slippage test** GrNP Annals of Mathematical Statistics 21, 120-123 50-608 Hermanc e \MDLLEMEIS TER I 1945 w Mean lengths of line segment H N Ame r i c an Maithem ati c al Mon thly 52, 250-252 45-23 2 Hans MUNZNER w 1950 Zur- Abschatzung von Wahrscheinllchkei ten** G Mitt^CLungsblatt fur Mathematische Statistik 51-424 Ro Be MURPHY 1 1948 "Non-par ame trie tolerance limits* ' DP Ann&lss of Mathematical Statistics 19 $ 581-589 49“4‘l4 Ao No Krishnan NAIR 1941 "Distribution of Student 9 ® 't 5 and the correlation coefficient in samples from non-normal populations" GK S ankhy 5? 383-400 43-184 1942 "On the probability of obtaining k sets of consecutive successes in n trials^ N Mathematics Student 10 , 83-84 43-248 Ko Ro NAIR 1 1938 w 0n Tippett 9 s random sampling numbers * 10 S ankhy 4s> 65 1940a "'The median in tests by randomization" GN 43-108 Sankhya 4 5 543-550 - 1940b "‘Table of confidence interval for the median in samples from any continuous population’* GNP Sankhya 4? 551-558 - 43-16.5 48 Ko Re NAIR 1948a ’’The Studentized form of the extreme mean square test in the analysis of variance” GLNP Biome trika 35s 16=31 48=601 1948b ®*The distribution of the extreme deviate from the sample mean and its Studentized form” LNP Biome trika. 35 s 118=144 48=602 Ko R. NAIR and Mo Po SHRIVASTAVA 1942- ”0n a simple method of curve fitting” JL Sankhya 6 S 12i®X 32 43-279 Seimatsu NARUMI 1923 f,: Qn further inequalities with possible applications to problems in the theory of probability” AC Biome trika 15* 245=243 J0 NEYMAN 1935 w La verification de iphypothe.se concernapt la loi de probabiiite d*une variable aleatoire ” EN Comptes: Rendus (Paris) 203 9 1047=1049 ” 1937 9 Smooth test* for goodness of fit” EN Skandinavisk Aktuarie tidskrift 1937s 149=199 1940 ’’Empirical comparisons of the 'smooth 1 test for goodness of fit with Pearson’s test” E Annals of Mathematical Statistics 11 g 4?8 1942 ’’Basic ideas and some recent results of the theory of testing statistical hypotheses** B Journal of the Royal Statistical -Society 1054 21" — Ions 2U", 44=44 Jo NEYMAN and E. a. PEARSON 1930 ’’Further notes on the distribution” EP Biom® trika 22L S 298=305 Gottfried E, NOETHER 1948 ”0n confidence limits for quantiles” G Annals of Mathematical Statistics 19 $ 418=419 t 8 - 49 Gottfried E c NOETHER 1949 f, 0n a theorem by Wald and Wolfowitz 91 BN 5 Annals of Mathematical Statistics 20 9 45 ”45 50=188 1950 "Asymptotic properties of the Wald=Wolf owitz test of randomness 95 BIN Annals of Mathematical Statistics 21 B 231-246 50=732 1951 w 0n a connection between confidence and tolerance intervals 59 DG Annals of Mathematical Statistics 22 9 603=604 H,W, NORTON 1946 "Estimating the correlation coefficient 19 JP Bulletin of the American Meteorological“ - Society' H, C s NYBOLLE 1936 !, 0n the statistical distinction between sets of two-dimensional observations" F Skandinavisk Aktuarie tidskrif 19p 1-26 A» Co OFFORD 1945 " An inequality for sums of independent random variables" C Proceeding s of the London Mathematical, Society ( 2.) 47=281 E .Go OLDS 1938 "Distributions of sums of squares of rank differences for small numbers of individuals" JP Annals of Mathema tical St a t is tics 9a 133-148 1949 "The 5 percent significance levels for sums of squares of rank differences and a corredtion" INP Annal 3 of Ma themat 1c al S t at i s ti c s 20 <, 117= 118 49-467 P, S c 0LMSTE&D 1948 "Note on theoretical aid observed distributions of repetitive occurrences" E0 Annals of Mathematical Statistics l1 5 363-366 41=109 „ 50 - P e S 0 OLMSTEAD 1942 Review of 9 a significance test for time A 9 series by W 0 Allen Wallis and Goeffrey 1 H 0 Moore" I Journal of the American Statistical Asso- cl atfdfTT77T^^^lFJ ' — 1946 wE>is tribution of sample arrangements for runs up and down*1 INP Annals of Mathematical Statistics 17 g 24=33 46=457 P 0 So OLMSTEAD and John W 0 TUKEY M 1947 'A- corn#!® test for association" JNP Armais of Mathematical Statistics X8 S 495=513 48=294 P e B„ PATNAIK 1948 "The power function of the test for the difference between two proportions in a HP M or^trika . 35, 157-175 48-603 1949 ""The non-central chi-square and F-distributions and their applications"’ NEP Biome trika 36 p 202-232 50=608 1950 "The use of mean range as an estimator of variance in statistical tests"" LP Biometrika 37, 78-87 Edward PAULSON 1943 mh note on tolerance limits"8 D Annals of Mathematical Statistics I4 g 90-93 43=280 E o S 8 PEARSON 1931 ""The analysis of variance in cases of non- normal variation 591 KG CT Biome trika. 23 » 114 133^ 1932 "The percentage limi. ts for the distribution of range in samples from & normal population (n < 100) ss LP Biometrika 24 9 404”417 1937 ?f Some aspects of the problem of randomization” AKL Biometrika 29s 53 c=, 64 31 — E» S s PEARSON 1938a *The probability integral fransf orraation for testing goodness of fit and combining independent tests of signifie sine© 9* BEX oc Biome trika 3,0 g X 34 l48 1938b 9 , Som® aspects of the problem of randomization 99 AKL Biome fcrdka . 30 p 1 59 “179 w 194-7 'Ehe choice of statistical tests illustrated on the interpretation of data classed in a 2x2 table 58 AHP Biome trik a 34 ? 139=167 47=395 1950 a ?s 0n questions raised by the combination of tests based on discontinuous distributions *5 X Biome trika 37 ? 383=398 51-“429 1950b KSome notes on the use of range 85 GE Bi ome trika 37? 88 =>92 51=116 Eo a o PEARSON assisted by No Ko ADYAN THAYA 1929 ® file distribution of frequency constants in small samples from non-no rrnal symetrical and skew di stributions 91 K Biome trik a 21 s 259=288 Eo So PEARSON and Jo HAINES 1935 98 The use of range in place of standard deviation in small sample s n L The Journal, of the Royal Statistical STbcie tj ' Eo S„ PEARSON and Ho 0, HAF: Tim m 1943 Table s of the probability integral of the ? Studentized range"1 LPW Biome trika 38 ? 89=99 45=92 Eo So PEARSON and Maxine MERRINGTON 1948 ?s 2x2 tables! the power function of the test 1 on a. randomized experiment* EP Biometrika 35? 331-345 49^388 - 52 - Eo S e PEARSON and Maxine MERRINGTON 1951 ^Tables of the 5#> and 0<>5% points of Pearson curves (with argument (3^ and P2) expressed £n standard measure” KP Biome trika 38 , 4“10 Karl PEARSON 1900 **0n the criterion that a given system of deviations from the probable in the case of a correlated system of variables is such that it can reasonably be supposed to have arisen from random sampling** ENOP r Philosophical Magazine £ Series 5Q g 157=, X75 " 1911 ? 0n the probability that two independent distri- butions of frequency are really samples from the same population'* FNO Biome trika 8, 250=254 1916 n 0n the application of “goodness of fit® tables to test regression curves and theoret- ical curves used to describe observational or experimental data” J Bi ome trika 11 9 239°26l 1919 !, 0n generalized Tchebycheff theorems in the mathematical theory of statistics” CP Biome trika 12, 284*296 1920 ”0n the probable error of frequency constants. Part I II** _ LNP Biome trika 13 , 11 3 “132- 1922 w 0n the test of goodness of fit”' E Biome trika 14 ^ 186=191 1924 31 On the difference and the doublet tests for ascertaining whether two samples have 1 been drawn from the same population * E Biome trika 16 g 249“252 1931 Tables for statisticians and biometricians P C ambridge“Uhiver¥Tty “^ress, C ambr idge , Elngl and 1932a ^Experimental discussion of the $ P ) test for goodness of fit” Biometrika 24 ^ 35X“, 38i Karl PEARSON 1932b J5 0n the probability that two independent distributions of frequency are really samples from the same parent population* 5 F Biome trika 21\ s 457“470 1933 ^ W: 0n the parent population with independent variates which gives the minimum value of <$)^ for a given sample 51 E Biome trika 234 134”’l48 1933b n 0n a method of determining whether a sample of sis,e n supposed to hawe been drawn from a. parent population having a known probability integral has probably been drawn at random5* ENP Biometrika =,4io 23 .9 3?9' 1934 a new method of determining l! goodness of fit * 55 EP : Biometrika 26 g 423“442 R» L„ PEEK Jr 0 i0 w 55 1933 Some new theorems on limits of variation 0 Bell Telephone System— Monograph B=?89g ^ew Wilfred PERKS 1947 simple proof of Gauss 9 s inequality55 c Journal of the Institute of Actuaries ^EuSenjpnSocT e' ty '77 48=13 Victor PERLO 1933 ®*0n the distribution of Student's ratio for samples of three drawn from a rectangular distribution 53 K Biometrika 234 203=204 Ho Co PICARD 1931 nA note on the maximum value of kurtosis 55 X Annals of Mathematical. S_ta ti sties 22 p 480~482 32=141 Ko Co So PILLAI 511 1948' note on ordered samples Sankhya 8, 375-360 Ko G PILLAI 1950 w Qn the distribution of midrange and semi = range in samples from a normal population’* LP Annals of Mathematical Statistics 21 9 100-= TOT- 50=446 1951 w Some notes on ordered samples from a normal population 8 * LP Sankhya 11* 23=28 E o Jo Go PI MAN 1937 a w Significance tests which may be applied to samples from any population w G Journal of the Royal Statistical Society TslTpplV) 47WT5^ 1937b ”SignIf icance tests which may be applied to samples from any population II a The correlation coefficient test” 3” Journal of the Royal Statistical Society T5u 193 ?c Significance tests which may be applied to samples from any population® III The analysis of variance test 55 GNP Biome trika 29 s 322=335 194-8 I, acture notes on non°°parametric statistics AB ““ C'oTumFia BnIver^il^~lTT'Y7"" - Ro Lo PLACKETT 1947 nMmits of the ratio of mean rang© to standard deviation” KPX trika Biome 34 .9 120=122 47=395 Jo E c van der PLANK 1946 M A method for estimating the number of random groups of adjacent diseased plants in a homogeneous field” IN Transactions of the Royal Society of South Africa ~ / Co POSSE 1886 bUp quelaues applications des fractions continues algebri qms C Sto Petersburg;, 175 s ) « ) So Jo POTI 1950 "Power function of the chi-square test with special reference to analysis of blood group data" __ E Sankhya 10 , 397-1^06 Wo A 0 PRIDMQRE 1944 ?,<% application of statistical methods to a presswork operation (aircraft stringers M Jo Ministry of Supply Advisory Service on Stalls tical Method~lmd Quality ^Control Techn£car°Report°-No a GjT^Z/E/o Do Vo RA JALAKSHMAN 1943 "On the interval between the ranked individuals of samples taken from a rectangular population'* N Journal of the Madras University— Section B "" *” WTJ^Pl 45=235 01 av RE I ERSOL 1944 'Measures of departure from symmetry'' 9 X Skandinavisk Aktuarie tidskrlf t 27<> 229“234 4^“211 Eo C„ RHODES 1924 w 0n th® problem whether two given samples can be supposed to have been drawn from the same population 91, F Biometri ka 16 9 239“24$ Po Ro RIDER 1929 w0n the distribution of the ratio of mean to standard deviation in sassO.1 samples from non- normal universes'8 KP Biome trike 21 s 124°»14^ 1950 88 The distribution of ranges from a discrete rectangular distribution 911 LN Proceedings bf the Internati onal C ongres s of Mathematics I, fSTTpubl 1 hed by“THe“7Gneri c an /f t aET) e matl c. al'^Soc i e ty , 19 52 1951 "The distribution of the r ange in samples from a discrete rectangular population" 1N0P Journal of the American Statistical“ Asso- HTa^TonTS7T?F-T7H'"“ 9 a 6 - 56 - Herbert ROBBINS 1944a ’’On di tributi on-free tolerance limits in random samples’ 5 D Annals of Mathematical Statistics If? g 211;® 21 45=9 1 m|b ”0n the expected values of two statistics” N The Annals of Mathematical Statistics 15 g 321= 323 45=162 W: M 1945 0n the measure of a random set 0 II N Annals of Mathematical Statistics 16 g 342=347 47=389 1948 Some remarks on the inequality of Tfcchebychef C C ourant Anniversary 7”! n science Publishers , Inc 0 N® Y» 48-193 Sally ROBINSON 19333 S| An experiment regarding the ehi = squa.re test’* E Annals of Mathematical Statistics [j. 5 285=287 V 0 l„ ROMANOVSKI 1940 ’’An inductive conclusions in statistics” C 9 Co Ro Akademiya Sci® URSS 27 9 41 =421 41=112 Ao Co ROSANBER W: 1942 phe use of inversions as a test of' random w order I Journal of the American Statistical Ass©= ^IT5T Ho SAKAMOTO 1943 !t 0n the distribution of the product and the quotient of the independent and uniformly distributed random variables” N The Tohoki Mathematical Journal 49 g 243'= 260 47=523 Lo A-o SANTALO 1947 **0n the first two moments of the measure of a random set” N Annals of Mathematical Statistics 18 _ S 37 ”49 43=389 S 0 R„ SAVUR 1937 ”Th@ use of the median in tests of significance * G Proceedings of the Indian AeademF of Sciences 3 '? 5 cr> Do To SAWKINS 1941 ^Remarks on goodness of fit of Hypotheses and on Pearson® s test* E Journal of the Proceedings of the Royal Society New South Wales 7 5.9 85^95 42-175 1947 W'A new method of .approximating the binomial and hyp e rg s ome t ri a probabilities*® N Journal of the Royal Statistical Society—NcSoWo a., 48-193 w-w | Henry SCHEPPE £ 1943 a *0n a. measure problem arising in the theory of non=p ar ame tr i c tests s:r B Annals of Mathematical Statistics 22?<= 14 .9 233 44=44 19l43'b 'Statistical inference in the non =p ar ame trie A base* A Annals of Mathematical Statistics 14 9 305*332: 44=211 1952 analysis of variance 'for paired comparisons” M Ann al s of Mathem.a tl c al S t at is tics 23 5 1 8 Henry SCHEFFE and J 0 M 0 T'UKEY 191A ?t A formula for sample sizes for population tolerance limits’® D Annals of Mathematical Statistics 217 45=9 1945 wNcn-par ame trie estimation® I» Validation of order statistics’4 ’ BD Annals of Mathematical Statistics 16 d l8?«192 46=21 Ho von sc Selling- ° c C " m 1939 ^ennjBsichen fur elne rein zuf allige F ELge der Werte in eirier seitlich geordneth Be 0 b achtung s?r e 1he ?5 IN As tronomi sene Nachrlchten 269 9 I;55“ i-59 40-249 Robert SCHMIDT 193 k ^Statistical analysis of one-dimensional dis- tributions'”’ BP Annals of Mathematical Statistics 5s 30“?2 Lothar von SCHRUTK.A 1 1941 M;Eine neue Einteilung der Permut&tionen' . N ra Mathematisehe Annale n 118 c, 2j\B<=>2.%Q 45 32 2 o - 98 - M arc e IpPaul SCHUTZENBERGER f" 1948a u Valeurs carac teri stiques du coefficient de correlation par rang de Kendall dans le cas general** JN Comptes Rendus (Paris) 226 g 21-23 49-134 1948b nEtude statistique d f un problems de sociome trie” LNO Gallica Biologica Acta X* 9 48-602 1948° t!fAn ABAC for the sample range ” 1 DPL a Psychometrika 13 9 95° 97 Garret Lo SCHUYLER 1940 w The ordering of n items assigned to k rank categories by votes of m individuals 41 MN Journal of the American Statistical Asso- .. elation 43? 5>5>9-5>"$3 Ho Lo SEAL 194? historical note on the use of bo test the adequacy of a mortality table graduation” E Journal of the Institute of Actuaries Students® - — 1948 ”A* note on the smooth test 64, EN Biometrika 35? 20 50-42 Eo Ho SEALY 1943 ”Specif ication of tolerances on components and final assembly© Methods of tightening tolerances on final assembly” CO (British) Ministry of Supply Advisory Service r on QualX€T~G^ lr:oro “Teclmi c a ep r t - =No 1(T° Henrik Lo SELBERG 6g 1940a ”Uber eine Ungleichung der Mathematischen Statistik” C Skandinavisk Aktuarie tidskrif t 1940 ? 114“120 41-228 1940b ”Zwei Ungleichungen zur Eganzung d@s Tchebychef f schen Lemmas” c Skandinavisk Aktuari etidskrif t 1940 ? 121-125 41-227 Henrick L 0 SELBERG n 191-2 0n an inequality in mathematical statistics*1 ©0 Norsk Matematisk Tidsskrift 21y s 1-12 A4.7—199 Mo Ro El SHANAWANY 1936 "An illustration 2 of the accuracy of the x approximation*’ ENP Biome trika 2d 9 179=187 Bo SHERMAN 1950 "A- random variable related to the spacing of saraole values’* EN Annals of Mathematical Statistics 21 g 339=361 51-192 Wo Ac SHEWHART 1941 G n tri buti on of statistics to the science of engTne¥rTng 10 Bell Telephone System Monograph B-1319 Jo SHOHAT (with an editorial note by Karl Parson) 1929 ^Inequalities for moments of frequency functions and for various statistical constants*1 X Biome trika 2.1 $ 361=375 Jo Ao SHOHAT and D 0 TAMARKIN 1943 33 The problem of moments"1 c American Mathematic al Society g New York <> Chapter 3 44=5> Ko Jo SHONE 19U9 "^elation between the standard deviation and the distribution of range in non=*normal pop= ul aliens"1 KLN Journal of the Royal Statistical Society (B) — 50=260 Lo SI LBER STEIN 191-5 "The probable number of aggregates In raadom ? distributions of points* 5 IN The Philosophical Magazine 36 » 319-33& U6-310 60 Go P e SILLITTO 95 8 *£* 19 i;7 The distribution of Kendall s coefficient of rank correlation in rankings containing 1949 tie®** * JNP Biometrika 34 a 36=4® 47=475 ?s Note on approximations to the power function of the 2x2 comparative trial 8* HP Biometrika 36 , 347=352 50=447 1951 ’’Interrelations between certain linear systematic statistics from any continuous pop- 1950 ulation’* LP Biometrika 3 8, 377=382 Ho SILVERS TONE S9i 1951 A note on the cumulants of Kendall 8 s S»dis= tribution” JNP Biometrika 37, 231=235 51=344 Paul B 0 SIMPSON w Note on the estimation of a bivariate distribution function 8* BE Annals of Mathematical Statistics 22, 476=479 52=142 No SMIRNOFF 1935 **Uber die Verteilung des allgemeinen Gliedes in der Variationsreihe” LN - Me tron 12 , 59=81 1936 w Sur la distribution de w^ t9 EN Comptes Rendus (Paris) 202 , 449=452 1939^ n Sur les ecarts de la courbe de distribution empirique" FN __ ^ ReCo Matho N«,S 0 (Matem&ticeskii Sbornik) 6, " " 3P26"'"” “ 40=246 1939 b w0n the estimation of the discrepancy between empirical curves of distribution for two in- dependent samples 11 FN Bulletin of Mathematics, University of Moscow ' 40=345 No Vo SMIRNOV 1947 w Sur un critere de symetrie de la loi de distribution d s une variable aleatoire” NPX Go R» Akademiya Sci, USSR 56, 11-14 48=40 - 61 - SMIRNOV 1948 ** Table for estimating the goodness of fit of empirical distribution** EFP Annals of Mathematical Statistics 19, 279“28l 43-599 1949 “Limit distribution for the terms of a variational series w LN American Mathematical Society., Translation Number 6? v Providence, 1952, 1-64 50-605 Bablng ton SMITH 1941 “Note on an alternant suggested by statistical theory® j Edinburgh Mathematical Notes 32, 19°32 43-105 AU Bo SMITH re 5 ' 1 1951 .4 test for heterogeneity of proportions H Annals of Eugenics 16, 16-25 52 ”= 260 Do SMITH 1930 “On generalized Tchebycheff inequalities in mathematical statistics** c American Journal of Mathematics 52, 109“126 1939 ®0n Tchebycheff approximation for decreasing functions n c Annals of Mathematical Statistics 10, 190-192 1951 “Some probability estimates for contingency- tables** H Mathematics Magazine 2$ $ 59°62 Co SPEARMAN 1901). ®The proof and measurement of association 1 between two thing sr J American Journal of Psychology 15 , ?2°101 J 9 Po STEFFENSEN I of dependence between statistical I 9 4.I **0n the M test variables** J Skandinavisk Aktuari etidskrif t 19^1 .9 13“33 42“5 Ho STEINHAUS 1948 "Elementary inequalities between the expected. values of current estimates of variance" K Colloquium Mathematicum Ij, 312=321 49 =721; ¥0 Lo STEVENS 1937 "Significance of grouping and a test for uniovular twins in mice 8 * INP Annals o f Eugenics 8 5 57=73 1939 "Distribution of groups in a sequence of alternatives" IN Annals of Eugenics 9s 10=17 1951 "Mean mad variance of an entry in a contingency fable 91 HN Biome trikes 3 3 S 488=470 ko STUART 1951 nAn application of the distribution of the ranking concordance coefficient" GMN B iometrika 385, 33=42: "STUDENT*1 1921 "An experimental determination of the probable 61 8 error of Dr 0 Spearman s correlation coefficients JN Biometrika 13 g 263=282 Po Vo SUKBATME " 1938 0n the distribution of jf" in samples of the Poisson serier** EP Supplement“ to The Royal Statistical Society 5s 75=79 1949 a “Random association of points on a lattice" IN Journal of the Indian Society of Agricultural 50=674 1949 b "Variance of triplets" IN Nature 164 a 842 Frieda SWED and Go EXSENHART 1943 "Tables for testing randomness of grouping in a sequence of alternatives" P Annals of Mathematical Statistics 14 » 66=8? 43=223 t o • 8 ®* 63 — Prances SWINEPORD 19^6 ^Graphical and tabular aids for determining sample sizes when planning experiments which Involve comparisons of percentages** FP F s yc home Irik a 11 9 43 "“49 1948 table for estimating the significance of the difference between correlated percentages** HP Pig ychome t r ika 13 j 23 -“25 43-363 P. Lo TCHEBYCHEFF w I 867 Des valeurs moyennes" C Journal, de Math^matiques (Liouville, 2nd series) 12 , 177-184 w i860 Sur deux the or ernes relatifs aux pobabilites** C Acta. Mathematic a 305^315 Milton E * TERRY 9 Jr 1952 n Two rank order tests which are most power- ful against specific parametric alternatives'* G Annals of Mathematical Statistics 23 » 13 H e THE IL 1949 note on the inequality of Camp and Meidell" wujk Stat istic a, Rljs 3 , 201-208 51-34 W 1950 a A- rank-invariant method of linear and polynomial regression analysis® I and II" J Tndagationes Mathematicae 12 , 85-91 iand- 173-177 51-117 n 1950b 'A- rank -invar I ant method of linear and ' 1 3 polynomial regression analysis 0 III J Ind ag a i n e s Ma thema ti c ae 12, 487-482 51-725 Mdrjorie THOMAS 1951 "Some tests for randomness in plant pop- ulations** IP B iome tri ka 38 , 102-111 W* R o THOMPSON 1936 E, 0n confidence ranges for the median and other expectation distributions for populations of unknown distribution form'* GrN Annals of Mathematical Statistics 7# 122-1 28 I s ) W» THOMPSON 1938 "Biological applications of normal rang© and associated significance tests in ignorance of our original distribution forms'* PN Annals of Mathematical Statistics 9 s 281-287 L 0 He c* TIPPETT 1927 Random sampling numbers IP ^¥cts^FoF^omputer s No„ V~> 9 Cambridge ' r University ress 3 London N 0 W„1 Alan Eo TRELOAR 192if. Correlation analysis J Burg¥as^ubli^Ing~^’o Mi nne apo 1 i 43^220 j John Wo TUKEY 1946 "An inequality for deviations from medians 5* X <= Annals of Mathematical Statistics 17 j 73 7 8 46=482 194? w Non=>parametric estimation IT*- Statistically •eaui valent blocks and tolerance regions =>» the continuous case 5* D Annals of Mathematical Statistics l8 9 32? =>31* 48=293 19 1948a Non-par am© trie estimation 9 XXI „ Statistically equivalent blocks and multivariate tolerance regions = the discontinuous case'1 D Annal s of Mathematical Statistics 19 5 30-39 43=433 1948b 5l Some elementary problems of importance to small sample practice 6 ® 1 K Human Biology 20 s 205=214 1950 "Estimation in the alternative family' 5 GK Proceedings of the International Congress of M athema t ics ^l4'~3B6^"TpubTTihed by°the American Mat-EematTFal Societjc, 1932) J. USPENSKY 193? Introduction to mathematical probability- C 'McGraw-Hill Book Co7, 373=380 g ilew iork Ho R o’ van der VAART 1930a "Some remarks on the power function of Wilcoxonls test for the problem of two samples 0 I and I F and. Indag at lone s Math© mat icae 12 9 146^138 139~72 31-38 ~ ” 1 ' 65 H» R o van der VAART 19506 ’’Directions for the use of Wilcoxon* s test® Mir~Mathematlsch Centrum— Amsterdam Rancor t S ?2 Jean VI LIE ,8i 1914.3 s. Sur un e r i fee re d ? ind e p end an c e IN Comptes Rendus (Paris) 218 , 552-553; 44«2G6 du d^hombrement des inversions presentees—par une permutation *1 j Comptes Rendua (Paris) 21 ? » I4.I-I4.2 45 6 . S. A 0 Vt)RA 1950 ^©unds on the distribution of chi-square 1* E& 2-1 Annals of Mathematical Statistics 9 308-309 David F e VO TAW, Jr 0 1946 ’’The probability distribution of the measure of a random linear3 set 1* N Annals of Mathematical Statistics 17^ 240-244 A* WALD 1938 generalization of the inequality of Markoff** 0 Annal s of Mathematical Statistics 9 5 244”255 1939 ’’Limits of a distribution function determined by absolute moments and inequalities satisfied by absolute moments’* c Transactions of the American Mathematical ISocTety 46 7 2b0” jbo 40-14 !4 1943 An extension of Wilks 3 method of setting tolerance limits 1* D : , Annals of Mathematical Statistics 14 , 45~55 43 ^ 194? ” Limit distribution of the maximum and minimum of successive cumulative sums of random variables the American Mathematical Society Bulletin of "" 47-21.7 A« WALD and Jo WOLFOWITZ 1939 ‘’Confidence limits for continuous distribution functions’* E Annals of Mathematical Statistics“ ~~10, .105“ THJ * 66 = A„ WALD arid J 0 WOLFOWXTZ 1940 “On a test whether two samples are from the same popula tion“ PN Armais of Mathematical Statistics 11* 147=162 40*348 194-1 “Note on confidence limits for continuous distribution functions*' EP Annals of Mathematical Statistics 12* 118=119 42=9 1943 “An exact test for randomness in the non- parametric case based on serial correlation* 9 IN Annals of Mathematical Stat i stics 14 » 378=388 44=211 191(i| “Statistical tests based on permutations of the observations'* BN Annals of Mathematical Statistics 15* 358=372 44*163 Eo WALDAPFEL 1943 “liber das Profil der Permutationen 59 IN Matematikai FiziAo Lapels 50* 2-57=261 47=190 Helen Mo WALKER 1927 “Certain mathematical questions suggested by the true -false test 59 IN The American Mathemat i cal Monthly 24 * 503=515 W 6 Allen WALLIS 1939 111 The correlation ratio for ranked data* 9 GN Journal of the American Statistical Asso=~~ 1942 “Compounding probabilities from independent significance tests'9 X Econome tri©ii 1C* 229=248 43=222 1 1952 “Rough-and-ready statistical tests' A, Industrial Quality Control 8* 35=40 W B Allen WALLIS and Geoffrey H 0 MOORE 1941 a A significance test for time series INP NaTtTonaT”Bureau”o f Ec onoriffc~~Wsearch Technical paper No c 1* New York 42=176 1941b significance test for time series analysis' 1 INP s Journal o f the Ameri can Statistical A” so- c i at i off '3F71T01^II09 ~ 42=176 s 6? John Eo WALSH 1946a. ”Some significance tests based on order statis tics”LGP Annals of Mathematical Statistics 17 , 44” 52 46-464 1946b ”Some order statistic distribution for samples of size four” L Annals of Mathematical Statistics 17 , 246»248 47“43 1946c Oil the power function of a sign test formed by using subs ample G Undated mimeographed report from Douglas Air- craft Cooj Inc», Santa Monica, Calif,, 1946d ”0n the power function of the sign test for slippage of means*’’ GP Annals of Mathem atic al Statistic s 17 s 358-362 47 ”42 1947 Some significance tests for the mean using the sample range and midrange G Mimeographed report from Douglas Aircraft Co<>, Inc 6J Santa Monica, Calif© 1949a ’’'Some significance tests for the median which are valid under ver^r general conditions” GNP Annals of Mathematical Statistics 20, 64=8l 49~554 1949b n'0n the range -midrange test and some tests with bounded significance levels” GP Annals of Mathematical Statistics 20 , 257”267 50-191 1949c ” Applications of some significance tests for fche median which are valid under very general conditions” GP Journal of the American Statistical Asso- 1949b. Some non-parame trie tests of whether the TargesTb observations of' a set are too large or too small G Mimeographed report P=6l. from The RAND Corporation, Santa, Monica, Calif© 1949 e ”Some comments on the efficiency of signi- ficance tests’* B Human Biology 21 , 2D5“2X7 1950a "On a generalization of the Behrens-Fisher problem”' G Human Biology 22, 125-135 ” 68 - John E a WALSH 1950b "Some estimates and tests based on the r ^smallest values in a sample 8* GP Annals of Mathematical Statistics 21 9 386=397 51 14-28 1950c 51 Some nonpar ame trie tests of whether the largest observations of a set are too large or too small 51' GP Annal s of Mathematical Statistics 21 «, 583=592 51=842 1951 "Some bounded significance level properties of the equated,! sign test 5'1 BQP Annals of Mathematical Statistics 22 s Edward V/ALTER * % 1951 "Uber einige nichtparame trische Tes tverf ahren" A Mitteilungsblatt fur Mathematische Statistlk 52=368 Bo Lo WELCH 1937 "On the z=test in randomized blocks and latin ?r” 1948 s qu ar e s GNP Bi one tri ka 29 9 21-52 1938 "On tests of homogeneity 89 GNP Biome trika 30 9 149=158 Jo WESTENBERG "’Significance test for median and inter= quartile range in samples from continuous populations of any form" GP Koninklijke Ne d erlandse Akad emi ^ van 1 7~"2r Wien s ch app en“Tr6c~¥eSrng¥3T 3'2^2ol 49 = 52 Jo Wo WHITFIELD 1947 "Rank correlation between two variables <> one of which is ranked,, the other dichotomous" J Biome tr ika 34 » 2-92=296 48=453 1949 "'Intra-class rank correlation" JP Biome trika 36 s 463=46? 1950 "Uses of the r anking method in psychology" 5 JO Journal of the Royal Statistical Society tbti ' — ” 0 69 - Do Rc WHITNEY 1951 <4'A bivariate extension of the U statistic” G? Annals of Mathematical Statistics 2 2, 274-282 Wo A. WHITWORTH 1945 DCC exercises including limits for the solutions of all the questions in CHOICE and CHANCE N Go E 0 Stochert, New York Ac van WIJNGARDEN 1950 is Tables of the cumulative symmetric binomial d i s tri bu t i on P Indag at ions s Mathematicae 12, 857“»868 Frank WILCOXON 1945 ^Individual comparisons by ranking methods” OP Biometrics 1 9 80-83 1946 n Individual comparisons of grouped data by ranking methods” GO Journal of Economic Entomology 39s 269 1947 ^Probability tables for individual comparisons by ranking methods” GP Biome trie s 3s 11 9 ”1 22 48-603 1949 Some rapid approximate statistical procedures GP American Cyanamid 6 ,, Stanford Research Laboratories (July 1949) l 6pp 0 1950 !5 Some rapid approximate statistical procedures ' 5 G Annals of the New York Academy of Sciences 5>2„ WE'^STk ' J 0 Ernest WILKINS, Jro 1944 note on skewness and kurtosis” X Annals of Mathematical Statistics 15, 333-335 45-91 So &«> WILKS 1935 w The likelihood test of independence in con- tingency tables” HN Annals of Mathematical Statistics 6, 190-196 TO - s 0 WILKS 1940 ^Confidence limits and critical differences between percentages*'* G Public Opinion Quarterly i+i> 332=338 191+1 ”De termination of sample sizes for setting tolerance limits*1 D Annals of Mathematical Statistics 12* 91 "98 42-9 1941 ^Statistical prediction with special refer- ence to the problem of tolerance limits” DP A-nnals of Mathematical Statistics 13s 400= W 43-165 1943 Mathematical Statistics AN Princeton University* Princeton* New Jersey* pp e 30-31* 200-225 44=41 1948 "Order statistics” AB Bulletin of the American——Mathematical >c re WTT^cr—- 48-601 Arthur WILLIAMS* Jr 1950 n On the choice of the number and width of classes for the chi-square test of goodness of fit” EP Journal of the American Statistical Asso- Edwin Bo WILSON 191a ts The controlled experiment and the four' ” •f nl ^ t ahl H Science 93* 557-56© (June 3. 1941) 43-26 194£ n 0n contingency tables” H Proceedings of the National Academy of BcTe nc ei(USJ 43-26 Edwin Bo WILSON and Jane WORCESTER 194-2®- "The association of three attributes” H Proceedings of the National Academy of '2d* 3^4^390 43-106 4 & 71 c=* Edwin B e WILSON .and Jane WORCESTER 1942b ^Contingency tables”' H Proceedings of the National Academy of 43-105 C, B c WINSTEN 1946 ^Inequalities in terms of mean range” OPX Biometrika 33 s 283=>295 47^43 Jo WISHART and Ho 0« HIRSCHPELD 1936 WA theorem concerning the distribution of joins between line segments” N London Mathematical Society Journal 11 „ ------*-»- ,- .. .. , 1i -mmr n III. m — hi K— — — — — , _ - Herman WOLD Random normal deviates,, 25, 000 items compiled " Troifi^racT No o XX iT^’Kend al T^and^^irt of ~ ran3!om~sampTing numb e rsy W e r s No « 25 I CamEFiR^g^^QETversi ty tress, London No W c 1, 44-49-553 J. W0LF0WITZ 1942 ,r Additive partition functions and a class of statistical hypotheses” BEFIM Annals of Mathematical Statistics 13# 247° 43-107 1943 w0n the theory of runs with some applications to quality control” AJ Annals of Mathematical Statistics 1 , 280-288 40 1944a w Note on runs of consecutive elements” N Annals of_ Mathematical Statistics 15 # 9?“98 45=5 1944a ”Asymptotic distribution of runs up and down” N Ann al s of Ma the ma t i c al Stati stics 15 # 163“ 45 6 1949 wNon-parametric statistical inference” AP Proceedings of the Berkeley Symposi um on Mathematical Statistics and RrobaFili ty # Unlver sity of Califo rni a TreTssT^ 9T=1TT~ 49-387 1952 w’Abraham Wald, 1902-1950” A Annals of Mathematical Statis t ics 2 3, 1-13 - 12 - Max A, WOODBURY 19 UO "Rank correlation when there are equal variates" JNP Annals of Mathematical Statistics 11 * 358=362 41=110 Fo YATES 1934 w6ontigency tables involving small numbers ' and the X 2 test" H ^STOciTSupplement to the Journal of the Royal 1948 "The analysis of contingency tables with groupings based on quantitative characters" H Biometrika 35* 176-181 C Lo c YOUNG n 194-1 0n randomness in ordered sequences" INP fnnals of—Mathematical —Statistics 12* 293° 3 Go U 0 YULE 1938 n Joseph ZUBIN 1939 "Nomographs for determining the significance of the differences between the frequencies of events in two contrasted series or groups" GP Journal of the American Statistical As—so= ciation~347~F3^5W~~' THE NATIONAL BUREAU OF STANDARDS Functions and Activities The functions of the National Bureau of Standards are set forth in the Act of Congress, March 3, 1901, as amended by Congress in Public Law 619, 1950. These include the development and maintenance of the national standards of measurement and the provision of means and methods for making measurements consistent with these standards; the determination of physical constants and properties of materials; the development of methods and instruments for testing materials, devices, and structures; advisory services to Government Agencies on scientific and technical problems; invention and development of devices to serve special needs of the Government; and the development of standard practices, codes, and specifications. The work includes basic and applied research, de- velopment, engineering, instrumentation, testing, evaluation, calibration services and various consultation and information services. A major portion of the Bureau’s work is performed for other Government Agencies, particularly the Department of Defense and the Atomic Energy Commission. The scope of ac- tivities is suggested by the listing of divisions and sections on the inside of the front cover. Reports and Publications The results of the Bureau’s work take the form of either actual equipment and devices or published papers and reports. Reports are issued to the sponsoring agency of a particular project or program. Published papers appear either in the Bureau’s own series of publications or in the journals of professional and scientific societies. The Bureau itself publishes three monthly periodicals, available from the Government Printing Office: The Journal of Research, which presents com- plete papers reporting technical investigations; the Technical News Bulletin, which presents summary and preliminary reports on work in progress; and Basic Radio Propagation Predictions, which provides data for determining the best frequencies to use for radio communications throughout the world. There are also five series of nonperiodical publications: The Applied Mathematics Series, Circulars, Hand- books, Building Materials and Structures Reports, and Miscellaneous Publications. Information on the Bureau’s publications can be found in NBS Circular 460, Publications of the National Bureau of Standards ($1.00). Information on cali- bration services and fees can be found in NBS Circular 483, Testing by the National Bureau of Standards (25 cents). Both are available from the Government Print- ing Office. Inquiries regarding the Bureau’s reports and publications should be addressed to the Office of Scientific Publications, National Bureau of Standards, Washington 25, D. C. } J I