Abstract
This chapter chronicles the development of permutation statistical methods from 1940 to 1959. This period may be considered a bridge between the early years of 1920–1939 where permutation tests were first conceptualized and the next period, 1960–1979, in which gains in computer technology provided the necessary tools to successfully employ permutation tests. The recognition of permutation methods as the gold standard against which conventional statistical methods were to be evaluated, while often implicit in the 1920s and 1930s, is manifest in many of the publications on permutation methods that appeared between 1940 and 1959. Also, a number of researchers turned their attention during this time period to rank tests, which simplified the calculation of exact probability values; other researchers continued work on calculating exact probability values, creating tables for small samples; and still others continued the theoretical work begun in the 1920s.
References
- 8.Agresti, A., Wackerly, D., Boyett, J.M.: Exact conditional tests for cross-classifications: Approximation of attained significance levels. Psychometrika 44, 75–83 (1979)MATHMathSciNetGoogle Scholar
- 9.Ahlswede, R.: Jacob Wolfowitz (1910–1981). http://www.ifp.illinois.edu/~junchen/jacob_wolfowitz.htm (1981). Accessed 19 Jan 2012
- 23.Anonymous: Dr P. H. Leslie. Nature 239, 477–478 (1972)Google Scholar
- 24.Anonymous: Former RSS honorary secretary, Sidney Rosenbaum, dies. RSSeNews. http://www.rssenews.org.uk/2013/03/former-rss-honorary-secretary-sidney-rosenbaum-dies (20 March 2013). Accessed 9 June 2013
- 25.Anonymous: Turing top secret. Significance 9, 3 (June 2012)Google Scholar
- 34.Armsen, P.: Tables for significance tests of 2 × 2 contingency tables. Biometrika 42, 494–511 (1955)MATHMathSciNetGoogle Scholar
- 38.Asimov, N.: Erich L. Lehmann — Berkeley professor — dies. San Francisco Chronicle, pp. D–8. http://www.sfgate.com/science/article/Erich-L-Lehmann-Berkeley-professor-dies-3214326.php (16 October 2009). Accessed 9 Sept 2010
- 39.Askey, R.: The 1839 paper on permutations: Its relation to the Rodrigues formula and further developments. In: Altman, S., Ortiz E.L. (eds.) Mathematics and Social Utopias in France: Olinde Rodrigues and His Times, vol. 28, History of Mathematics, pp. 105–118. American Mathematical Society, Providence (2005)Google Scholar
- 40.Auble, D.: Extended tables for the Mann–Whitney statistic. B. Inst. Educ. Res. Ind. 1, 1–39 (1953)Google Scholar
- 41.Augarten, S.: Bit by Bit: An Illustrated History of Computers. Ticknor & Fields, New York. http://ds.haverford.edu/bitbybit/bit-by-bit-contents/chapter-five/5-8-the-ias-computer/ (1984). Accessed 7 Apr 2013
- 42.Babington Smith, C.: Evidence in Camera: The Story of Photographic Intelligence in World War II. David & Charles, London (1957)Google Scholar
- 43.Bacaër, N.: The Leslie matrix. In: A Short History of Mathematical Population Dynamics, chap. 21, pp. 117–120. Springer, London (2011)Google Scholar
- 44.Backus, J.: The history of FORTRAN I, II, and III. ACM SIGPLAN Notices 13, 165–180 (1978)Google Scholar
- 51.Baker, F.B., Collier, Jr., R.O.: Monte Carlo F-II: A computer program for analysis of variance F-tests by means of permutation. Educ. Psychol. Meas. 26, 169–173 (1966)Google Scholar
- 52.Baker, F.B., Collier, Jr., R.O.: Some empirical results on variance ratios under permutation in the completely randomized design. J. Am. Stat. Assoc. 61, 813–820 (1966)Google Scholar
- 53.Baker, F.B., Hubert, L.J.: Inference procedures for ordering theory. J. Educ. Stat. 2, 217–232 (1977)Google Scholar
- 63.Barnard, G.A.: A new test for 2 × 2 tables. Nature 156, 177 (1945)MATHMathSciNetGoogle Scholar
- 64.Barnard, G.A.: A new test for 2 × 2 tables. Nature 156, 783–784 (1945)MathSciNetGoogle Scholar
- 67.Barnard, G.A.: Significance tests for 2 × 2 tables. Biometrika 34, 123–138 (1947)MATHMathSciNetGoogle Scholar
- 68.Barnard, G.A.: Statistical inference. J. R. Stat. Soc. B Met. 11, 115–149 (1949)MATHMathSciNetGoogle Scholar
- 70.Barnard, G.A.: Discussion of “Tests of significance in 2 × 2 tables” by F. Yates. J. R. Stat. Soc. A Gen. 147, 449–450 (1984)Google Scholar
- 72.Barnard, G.A.: Discussion of “A new probability model for determining exact P-values for 2 × 2 contingency tables when comparing binomial proportions” by W.R. Rice. Biometrics 44, 16–18 (1988)Google Scholar
- 100.Bergmann, R., Ludbrook, J., Spooren, W.P.J.M.: Different outcomes of the Wilcoxon–Mann–Whitney test from different statistics packages. Am. Stat. 54, 72–77 (2000)Google Scholar
- 111.Berry, K.J., Johnston, J.E., Mielke, P.W.: Exact goodness-of-fit tests for unordered equiprobable categories. Percept. Motor Skill 98, 909–918 (2004)Google Scholar
- 155.Berry, K.J., Mielke, P.W.: Exact and Monte Carlo resampling procedures for the Wilcoxon–Mann–Whitney and Kruskal–Wallis tests. Percept. Motor Skill. 91, 749–754 (2000)Google Scholar
- 160.Berry, K.J., Mielke, P.W., Johnston, J.E.: The two-sample rank-sum test: early development. Elec. J. Hist. Prob. Stat. 8, 1–26 (2012)MathSciNetGoogle Scholar
- 165.Beyer, K.W.: Grace Hopper and the Invention of the Information Age. MIT Press, Cambridge (2009)Google Scholar
- 180.Boothroyd, J.: Algorithm 29: Permutations of the elements of a vector. Comput. J. 10, 310–311 (1967)Google Scholar
- 181.Boothroyd, J.: Algorithm 30: Fast permutation of the elements of a vector. Comput. J. 10, 311–312 (1967)Google Scholar
- 188.Bowen, J.: Alan Turing. In: Robinson, A. (ed.) The Scientists: An Epic of Discovery, pp. 270–275. Thames & Hudson, London (2012)Google Scholar
- 190.Box, G.E.P.: Non-normality and tests on variances. Biometrika 40, 318–335 (1953)MATHMathSciNetGoogle Scholar
- 192.Box, G.E.P.: An Accidental Statistician: The Life and Memories of George E. P. Box. Wiley, New York (2013) [Also inscribed “With a little help from my friend, Judith L. Allen”]Google Scholar
- 193.Box, G.E.P., Andersen, S.L.: Permutation theory in the derivation of robust criteria and the study of departures from assumption (with discussion). J. R. Stat. Soc. B Met. 17, 1–34 (1955)MATHGoogle Scholar
- 200.Bradbury, I.: Analysis of variance versus randomization — a comparison. Br. J. Math. Stat. Psychol. 40, 177–187 (1987)MATHMathSciNetGoogle Scholar
- 203.Bradley, R.A.: Frank Wilcoxon. Biometrics 22, 192–194 (1966)MATHGoogle Scholar
- 205.Bradley, R.A., Hollander, M.: Wilcoxon, Frank. In: Heyde, C.C., Seneta, E. (eds.) Statisticians of the Centuries, pp. 420–424. Springer, New York (2001)Google Scholar
- 206.Bratley, P.: Algorithm 306: Permutations with repetitions. Commun. ACM 7, 450–451 (1967)Google Scholar
- 215.Brillinger, D.R.: Erich Leo Lehmann, 1917 – 2009. J. R. Stat. Soc. A Stat 173, 683–689 (2010)Google Scholar
- 221.Brooks, E.B.: Frank Wilcoxon, 2 Sept 1892 – 18 Nov 1965. Tales of Statisticians. http://www.umass.edu/wsp/statistics/tales/wilcoxon.html. Accessed 1 Apr 2012
- 229.Burr, E.J.: The distribution of Kendall’s score S for a pair of tied rankings. Biometrika 47, 151–171 (1960)MATHMathSciNetGoogle Scholar
- 237.Cajori, F.: History of symbols for \(\underline{\text{n}}\) = factorial. Isis 3, 414–418 (1921)Google Scholar
- 239.Campbell, I.: Chi-squared and Fisher–Irwin tests of two-by-two tables with small sample recommendations. Stat. Med. 26, 3661–3675 (2007)MathSciNetGoogle Scholar
- 240.Campbell-Kelly, M.: John von Neumann. In: Robinson, A. (ed.) The Scientists: An Epic of Discovery, pp. 276–279. Thames & Hudson, London (2012)Google Scholar
- 247.Chase, P.J.: Algorithm 382: Combinations of M out of N objects. Commun. ACM 13, 368–369 (1970)Google Scholar
- 248.Chase, P.J.: Algorithm 383: Permutations of a set with repetitions. Commun. ACM 13, 368–369 (1970)Google Scholar
- 254.Chung, J.H., Fraser, D.A.S.: Randomization tests for a multivariate two-sample problem. J. Am. Stat. Assoc. 53, 729–735 (1958)MATHGoogle Scholar
- 274.Conroy, R.M.: What hypotheses do “nonparametric” two-group tests actually test? Stata J. 12, 182–190 (2012)Google Scholar
- 298.Crowcroft, P.: Elton’s Ecologists: A History of the Bureau of Animal Population. University of Chicago Press, Chicago (1991)Google Scholar
- 313.Daniel, W.W.: Applied Nonparametric Statistics. Houghton Mifflin, Boston (1978)MATHGoogle Scholar
- 314.Daniels, H.E.: Rank correlation and population models (with discussion). J. R. Stat. Soc. B Met. 12, 171–191 (1950)MATHMathSciNetGoogle Scholar
- 323.David, H.A.: First (?) occurrence of common terms in mathematical statistics. Am. Stat. 49, 121–133 (1995)Google Scholar
- 325.David, H.A.: Samuel Stanley Wilks (1906–1964). Am. Stat. 60, 46–49 (2006)Google Scholar
- 328.David, S.T., Kendall, M.G., Stuart, A.: Some questions of distribution in the theory of rank correlation. Biometrika 38, 131–140 (1951)MATHMathSciNetGoogle Scholar
- 332.Defining a legend. University of Wisconsin Foundation Insights. http://www.supportuw.org/wp-content/uploads/insights_04_fall.pdf (Fall 2004). Accessed 20 June 2013
- 334.de Montmort, P.R.: Essay d’Analyse sur les Jeux de Hazard (Analytical Essay on Gambling). Quillau, Paris (1708)Google Scholar
- 335.de Wet, T.: Statistics in the fifties. South African Statistical Association (2003) [Presidential Address on the 50th Anniversary of the South African Statistical Association, Johannesburg, 2003 by Tertius de Wet]Google Scholar
- 336.DeGroot, M.H.: A conversation with Charles Stein. Stat. Sci. 1, 454–462 (1986)MATHMathSciNetGoogle Scholar
- 337.DeGroot, M.H.: A conversation with Erich L. Lehmann. Stat. Sci. 1, 243–258 (1986)MATHMathSciNetGoogle Scholar
- 338.DeGroot, M.H.: A conversation with George Box. Stat. Sci. 2, 239–258 (1987)MATHMathSciNetGoogle Scholar
- 339.DeGroot, M.H.: A conversation with George A. Bernard. Stat. Sci. 3, 196–212 (1988)Google Scholar
- 344.Dershowitz, N.: A simplified loop-free algorithm for generating permutations. BIT 15, 158–164 (1975)MATHMathSciNetGoogle Scholar
- 345.Deuchler, G.: Über die Methoden der Korrelationsrechnung in der Pädagogik und Psychologie. Z. Padagog. Psychol. Exp. Padagog. 15, 114–131, 145–159, and 229–242 (1914)Google Scholar
- 353.Dixon, W.J.: A criterion for testing the hypothesis that two samples are from the same population. Ann. Math. Stat. 11, 199–204 (1940)Google Scholar
- 359.Doolen, G.D., Hendricks, J.: Monte Carlo at work. Los Alamos Sci. 15, 142–143 (1987)MathSciNetGoogle Scholar
- 363.Dunnett, C.W.: Frank Wilcoxon, 1892–1965. Technometrics 8, 195–196 (1966)MATHGoogle Scholar
- 365.Dupont, W.D.: Reply to Comment on “Sensitivity of Fisher’s exact test to minor perturbations in 2 × 2 contingency tables” by A. Martín Andrés and J.D. Luna del Castillo. Stat. Med. 8, 244–245 (1989)Google Scholar
- 368.Dwass, M.: Modified randomization tests for nonparametric hypotheses. Ann. Math. Stat. 28, 181–187 (1957)MATHMathSciNetGoogle Scholar
- 370.Dyson, G.: Turing’s Cathedral: The Origins of the Digital Universe. Pantheon/Vintage, New York (2012)Google Scholar
- 372.Eckhardt, R.: Stan Ulam, John von Neumann, and the Monte Carlo method. Los Alamos Sci. 15, 131–137 (1987)MathSciNetGoogle Scholar
- 379.Eden, T., Yates, F.: On the validity of Fisher’s z test when applied to an actual example of non-normal data. J. Agric. Sci. 23, 6–17 (1933)Google Scholar
- 399.Edwards, A.W.F.: Pascal’s Arithmetical Triangle. Griffin, London (1987)MATHGoogle Scholar
- 400.Edwards, A.W.F.: Professor C. A. B. Smith, 1917–2002. J. R. Stat. Soc. D Stat. 51, 404–405 (2002)Google Scholar
- 401.Edwards, A.W.F.: Fisher computes…. Significance 9, 44 (2012) [Letter to the editor regarding an article by Fisher in Significance, August 2012]Google Scholar
- 406.Churchill Eisenhart, statistics expert. NY Times. http://www.nytimes.com/1994/07/01/us/churchill-eisenhart-statistics-expert-82.html (1 July 1994). Accessed 20 Jan 2012
- 413.Ernst, M.D.: Permutation methods: A basis for exact inference. Stat. Sci. 19, 676–685 (2004)MATHMathSciNetGoogle Scholar
- 421.Feinstein, A.R.: Clinical Biostatistics XXIII: The role of randomization in sampling, testing, allocation, and credulous idolatry (Part 2). Clin. Pharmacol. Ther. 14, 898–915 (1973)Google Scholar
- 426.Ferry, G.: A Computer Called LEO. HarperCollins, London (2004)Google Scholar
- 427.Festinger, L.: The significance of differences between means without reference to the frequency distribution function. Psychometrika 11, 97–105 (1946)MATHMathSciNetGoogle Scholar
- 429.Fienberg, S.E., Stigler, S.M., Tanur, J.M.: The William Kruskal legacy: 1919–2005. Stat. Sci. 22, 255–261 (2007)MATHMathSciNetGoogle Scholar
- 434.Finney, D.J.: The Fisher–Yates test of significance in 2 × 2 contingency tables. Biometrika 35, 145–156 (1948)MATHMathSciNetGoogle Scholar
- 435.Finney, D.J.: A numerate life. In: Gani, J. (ed.) The Making of Statisticians, pp. 150–164. Springer, New York (1982)Google Scholar
- 448.Fisher, R.A.: Statistical Methods for Research Workers. Oliver and Boyd, Edinburgh (1925)Google Scholar
- 451.Fisher, R.A.: The Design of Experiments. Oliver and Boyd, Edinburgh (1935)Google Scholar
- 452.Fisher, R.A.: The logic of inductive inference (with discussion). J. R. Stat. Soc. 98, 39–82 (1935)Google Scholar
- 457.Fisher, R.A.: A new test for 2 × 2 tables. Nature 156, 388 (1945)Google Scholar
- 458.Fisher, R.A.: Gene frequencies in a cline determined by selection and diffusion. Biometrics 6, 353–361 (1950)Google Scholar
- 465.Fix, E., Hodges, J.L.: Significance probabilities of the Wilcoxon test. Ann. Math. Stat. 26, 301–312 (1955)MATHMathSciNetGoogle Scholar
- 472.Flournoy, N.: A conversation with Wilfrid J. Dixon. Stat. Sci. 8, 458–477 (1993)MATHMathSciNetGoogle Scholar
- 473.Flournoy, N.: Wilfrid Joseph Dixon, 1915–2008. J. R. Stat. Soc. A Stat. 173, 455–456 (2010)Google Scholar
- 475.Følling, A.: The excretion of phenylpyruvic acid in the urine, an anomaly of metabolism in connection with imbecility. Z. Physiol. Chem. 227, 169–176 (1934)Google Scholar
- 480.Freeman, G.H., Halton, J.H.: Note on an exact treatment of contingency, goodness of fit and other problems of significance. Biometrika 38, 141–149 (1951)MATHMathSciNetGoogle Scholar
- 485.Friedman, M.: The use of ranks to avoid the assumption of normality implicit in the analysis of variance. J. Am. Stat. Assoc. 32, 675–701 (1937)Google Scholar
- 486.Friedman, M.: A comparison of alternative tests of significance for the problem of m rankings. Ann. Math. Stat. 11, 86–92 (1940)Google Scholar
- 502.Gebhard, J., Schmitz, N.: Permutation tests — a revival?! I. Optimum properties. Stat. Pap. 39, 75–85 (1998)MATHMathSciNetGoogle Scholar
- 505.Gelman, A.: Tables as graphs: The Ramanujan principle. Significance 8, 183 (December 2011)Google Scholar
- 510.Ghent, A.W.: A method for exact testing of 2 × 2, 2 × 3, 3 × 3, and other contingency tables, employing binomial coefficients. Am. Midl. Nat. 88, 15–27 (1972)Google Scholar
- 523.Good, P.I.: Permutation Tests: A Practical Guide to Resampling Methods for Testing Hypotheses. Springer, New York (1994)MATHGoogle Scholar
- 529.Good, P.I.: Efficiency comparisons of rank and permutation tests by Janice M. Weinberg and Stephen W. Lagakos in Statistics in Medicine 2001; 20:705–731. Stat. Med. 23, 857 (2004)Google Scholar
- 556.Grier, D.A.: Statistics and the introduction of digital computers. Chance 4, 30–36 (1991)MathSciNetGoogle Scholar
- 558.Griffin, H.D.: Graphic computation of tau as a coefficient of disarray. J. Am. Stat. Assoc. 53, 441–447 (1958)MATHGoogle Scholar
- 562.Guide to the Meyer Dwass (1923–1996) papers. Northwestern University Library. http://findingaids.library.northwestern.edu/catalog/inu-ead-nua-archon-548 (2002). Accessed 19 Jan 2012
- 566.Hack, H.R.B.: An empirical investigation into the distribution of the F-ratio in samples from two non-normal populations. Biometrika 45, 260–265 (1958)MATHGoogle Scholar
- 569.Haden, H.G.: A note on the distribution of the different orderings of n objects. Math. Proc. Cambridge 43, 1–9 (1947)MathSciNetGoogle Scholar
- 573.Haldane, J.B.S., Smith, C.A.B.: A simple exact test for birth-order effect. Ann. Eugenic. 14, 117–124 (1948)Google Scholar
- 578.Halton, J.H.: A rigorous derivation of the exact contingency formula. Math. Proc. Cambridge 65, 527–530 (1969)MATHMathSciNetGoogle Scholar
- 579.Halton, J.H.: A retrospective and prospective survey of the Monte Carlo method. SIAM Rev. 12, 1–63 (1970)MATHMathSciNetGoogle Scholar
- 580.Hamilton, A.: Brains that click. Pop. Mech. 91, 162–167, 256, 258 (1949)Google Scholar
- 585.Hardy, G.H., Ramanujan, S.: Asymptotic formulae in combinatory analysis. Proc. Lond. Math. Soc. 17, 75–115 (1918)Google Scholar
- 602.Hayes, B.: The memristor. Am. Sci. 99, 106–110 (2011)Google Scholar
- 610.Hemelrijk, J.: Note on Wilcoxon’s two-sample test when ties are present. Ann. Math. Stat. 23, 133–135 (1952)MATHMathSciNetGoogle Scholar
- 615.Higgon, K.: Rosenbaum, Dr Sidney (b 1918). Liddell Hart Centre for Military Archives, King’s College London. http://www.kingscollections.org/catalogues/lhcma/collection/p-t/ro75-001 (2007). Accessed 6 Dec 2012
- 618.Hilbe, J.M.: The coevolution of statistics and HZ. In: Sawilowsky, S.S. (ed.) Real Data Analysis, pp. 3–20. Information Age, Charlotte (2007)Google Scholar
- 621.Hill, I.D.: Discussion of “A new probability model for determining exact P-values for 2 × 2 contingency tables when comparing binomial proportions” by W.R. Rice. Biometrics 44, 14–16 (1988)Google Scholar
- 636.Hoeffding, W.: The large-sample power of tests based on permutations of observations. Ann. Math. Stat. 23, 169–192 (1952)MATHMathSciNetGoogle Scholar
- 639.Hollander, M.: A conversation with Ralph A. Bradley. Stat. Sci. 16, 75–100 (2000)MathSciNetGoogle Scholar
- 652.Hotelling, H.: The generalization of Student’s ratio. Ann. Math. Stat. 2, 360–378 (1931)Google Scholar
- 653.Hotelling, H., Pabst, M.R.: Rank correlation and tests of significance involving no assumption of normality. Ann. Math. Stat. 7, 29–43 (1936)Google Scholar
- 654.Householder, A.S., Forsythe, G.E., Germond, H.H. (eds.): Monte Carlo Methods. No. 12 in National Bureau of Standards Applied Mathematics Series. United States Government Printing Office, Washington, DC (1951)Google Scholar
- 673.In Memoriam: Dr. Colin White. Yale Univ. News. http://news.yale.edu/2011/03/14/memoriam-dr-colin-white (2011). Accessed 31 Mar 2012
- 674.Irwin, J.O.: Tests of significance for differences between percentages based on small numbers. Metron 12, 83–94 (1935)Google Scholar
- 675.Ives, F.W.: Permutation enumeration: Four new permutation algorithms. Commun. ACM 19, 68–72 (1976)MATHGoogle Scholar
- 677.Jacobson, J.E.: The Wilcoxon two-sample statistic: Tables and bibliography. J. Am. Stat. Assoc. 58, 1086–1103 (1963)MATHGoogle Scholar
- 681.Jarrett, T.: On algebraic notation. Trans. Camb. Philos. Soc. 3, 65–103 (1830)Google Scholar
- 683.Jenkins, N.: W. H. Auden–‘Family Ghosts’. Department of English, Stanford University. http://www.stanford.edu/group/auden/cgi-bin/auden (2008). Accessed 6 Feb 2012
- 690.Johnson, N.L.: Theoretical considerations regarding H.R.B. Hack’s system of randomization for cross-classifications. Biometrika 45, 265–266 (1958)MATHGoogle Scholar
- 692.Johnson, N.L., Kotz, S.: Wilks, Samuel Stanley. In: Johnson, N.L., Kotz, S. (eds.) Leading Personalities in Statistical Sciences: From the Seventeenth Century to the Present, Wiley Series in Probability and Statistics, pp. 211–212. Wiley, New York (1997)Google Scholar
- 699.Jonckheere, A.R.: A distribution-free k-sample test against ordered alternatives. Biometrika 41, 133–145 (1954)MATHMathSciNetGoogle Scholar
- 707.Kamat, A.R.: A two-sample distribution-free test. Biometrika 43, 388–387 (1956)MathSciNetGoogle Scholar
- 712.Kean, S.: The Disappearing Spoon. Little, Brown, New York (2010)Google Scholar
- 719.Kempthorne, O.: The randomization theory of experimental inference. J. Am. Stat. Assoc. 50, 946–967 (1955)MathSciNetGoogle Scholar
- 728.Kendall, M.G.: A new measure of rank correlation. Biometrika 30, 81–93 (1938)MATHMathSciNetGoogle Scholar
- 730.Kendall, M.G.: The treatment of ties in ranking problems. Biometrika 33, 239–251 (1945)MATHMathSciNetGoogle Scholar
- 731.Kendall, M.G.: The Advanced Theory of Statistics, vol. II. Griffin, London (1946)MATHGoogle Scholar
- 733.Kendall, M.G.: The variance of τ when both rankings contain ties. Biometrika 34, 297–298 (1947)MATHMathSciNetGoogle Scholar
- 734.Kendall, M.G.: Rank Correlation Methods. Griffin, London (1948)MATHGoogle Scholar
- 739.Kendall, M.G., Babington Smith, B.: The problem of m rankings. Ann. Math. Stat. 10, 275–287 (1939)Google Scholar
- 741.Kendall, M.G., Babington Smith, B.: On the method of paired comparisons. Biometrika 31, 324–345 (1940)MATHMathSciNetGoogle Scholar
- 746.Kendall, M.G., Kendall, S.F.H., Babington Smith, B.: The distribution of Spearman’s coefficient of rank correlation in a universe in which all rankings occur an equal number of times. Biometrika 30, 251–273 (1939)MATHGoogle Scholar
- 751.Kiang, L.Y.: Charles Stein: The invariant, the direct and the “pretentious”. In: Kiang, L.Y. (ed.) Creative Minds, Charmed Lives: Interviews at Institute for Mathematical Sciences, National University of Singapore, pp. 282–287. World Scientific, Singapore (2010)Google Scholar
- 753.Kiernan, D.: The Girls of Atomic City: The Untold Story of the Women Who Helped Win World War II. Touchstone, New York (2013)Google Scholar
- 767.Kotz, S., Johnson, N.L. (eds.): Breakthroughs in Statistics: Foundations and Basic Theory, vol. I. Springer Series in Statistics. Springer, New York (1992)Google Scholar
- 768.Kraft, C.A., van Eeden, C.: A Nonparametric Introduction to Statistics. Macmillan, New York (1968)Google Scholar
- 770.Kramp, C.: Éléments d’arithmétique universelle. Hansen, Cologne (1808)Google Scholar
- 776.Kruskal, W.H.: Historical notes on the Wilcoxon unpaired two-sample test. J. Am. Stat. Assoc. 52, 356–360 (1957)MATHGoogle Scholar
- 779.Kruskal, W.H., Wallis, W.A.: Use of ranks in one-criterion variance analysis. J. Am. Stat. Assoc. 47, 583–621 (1952) [Erratum: J. Am. Stat. Assoc. 48, 907–911 (1953)]Google Scholar
- 799.Langdon, Jr., G.G.: An algorithm for generating permutations. Commun. ACM 10, 5 (1967)Google Scholar
- 804.Latscha, R.: Tests of significance in a 2 × 2 contingency table: Extension of Finney’s table. Biometrika 40, 74–86 (1953)MATHMathSciNetGoogle Scholar
- 806.Leach, C.: Introduction to Statistics: A Nonparametric Approach for the Social Sciences. Wiley, New York (1979)Google Scholar
- 808.Ledermann, W.: Walter Ledermann: Encounters of a Mathematician. http://www-history.mcs.st.andrews.ac.uk/Ledermann/Ch7.html (2000). Accessed 6 Feb 2012
- 814.Lehmann, E.L.: Reminiscences of a Statistician: The Company I Kept. Springer, New York (2008)Google Scholar
- 815.Lehmann, E.L.: Parametrics vs. nonparametrics: Two alternative methodologies. J. Nonparametr. Stat. 21, 397–405 (2009)Google Scholar
- 818.Lehmann, E.L., Stein, C.M.: On the theory of some non-parametric hypotheses. Ann. Math. Stat. 20, 28–45 (1949)MathSciNetGoogle Scholar
- 821.Leslie, P.H.: A simple method of calculating the exact probability in 2 × 2 contingency tables with small marginal totals. Biometrika 42, 522–523 (1955)MATHMathSciNetGoogle Scholar
- 823.Levin, R.C.: A Yale pioneer: The freshman address. Yale Alum. Mag., 1–4. http://www.yalealumnimagazine.com/issues/2009_11/levin5962.html (November/December 2009). Accessed 14 Mar 2012
- 830.Lindley, D.V.: Professor George A. Barnard, 1915–2002. Statistician 52, 231–234 (2003)Google Scholar
- 831.Lindley, D.V.: George Barnard: Anti-establishment statistician concerned with quality control. The Guardian. http://www.guardian.co.uk/news/2002/aug/09/guardianobituaries.highereducation (9 August 2002). Accessed 2 Oct 2012
- 833.Litchfield, Jr., J.T., Wilcoxon, F.: The rank correlation method. Anal. Chem. 27, 299–300 (1955)Google Scholar
- 837.Liu, C.N., Tang, D.T.: Algorithm 452: Enumerating combinations of m out of n objects. Commun. ACM 16, 485 (1973)Google Scholar
- 851.Ludbrook, J.: The Wilcoxon–Mann–Whitney test condemned. Br. J. Surg. 83, 136–137 (1996)Google Scholar
- 865.MacMahon, P.A.: Combinatory Analysis, vol. II. Cambridge University Press, Cambridge (1916)Google Scholar
- 866.MacNeill, I.: A conversation with David J. Finney. Stat. Sci. 8, 187–201 (1993)MATHMathSciNetGoogle Scholar
- 869.Mahanti, S.: John Burdon Sanderson Haldane: The ideal of a polymath. Vigyan Prasar Science Portal. http://www.vigyanprasar.gov.in/scientists/JBSHaldane.htm (2007). Accessed 20 Jan 2012
- 870.Maisel, M., Smart, L.: Admiral Grace Murray Hopper: Pioneer computer scientist. http://www.sdsc.edu/ScienceWomen/hopper.html (1997). Accessed 13 Mar 2012
- 874.Management: Du Pont educates engineers. Chem. Eng. News 36, 38–39 (1958)Google Scholar
- 879.Mann, H.B.: Nonparametric tests against trend. Econometrica 13, 245–259 (1945)MATHMathSciNetGoogle Scholar
- 880.Mann, H.B., Whitney, D.R.: On a test of whether one of two random variables is stochastically larger than the other. Ann. Math. Stat. 18, 50–60 (1947)MATHMathSciNetGoogle Scholar
- 900.Martín Andrés, A., Luna del Castillo, J.D.: Comment on “Sensitivity of Fisher’s exact test to minor perturbations in 2 × 2 contingency tables” by W.D. Dupont. Stat. Med. 8, 243–245 (1989)Google Scholar
- 905.Matsumoto, M., Nishimura, T.: Mersenne twister: A 623-dimensionally equidistributed uniform pseudo-random number generator. ACM Trans. Model. Comput. S. 8, 3–30 (1998)MATHGoogle Scholar
- 908.May, R.B., Hunter, M.A.: Some advantages of permutation tests. Can. Psychol. 34, 401–407 (1993)Google Scholar
- 913.McDonald, L.L., Davis, B.M., Milliken, G.A.: A nonrandomized unconditional test for comparing two proportions in 2 × 2 contingency tables. Technometrics 19, 145–157 (1977)MATHGoogle Scholar
- 926.Metropolis, N.: The beginning of the Monte Carlo method. Los Alamos Sci. 15, 125–130 (1987)MathSciNetGoogle Scholar
- 927.Metropolis, N., Ulam, S.: The Monte Carlo method. J. Am. Stat. Assoc. 44, 335–341 (1949)MATHMathSciNetGoogle Scholar
- 932.Mielke, P.W.: Asymptotic behavior of two-sample tests based on powers of ranks for detecting scale and location alternatives. J. Am. Stat. Assoc. 67, 850–854 (1972)MATHMathSciNetGoogle Scholar
- 933.Mielke, P.W.: Squared rank test appropriate to weather modification cross-over design. Technometrics 16, 13–16 (1974)MATHMathSciNetGoogle Scholar
- 965.Mielke, P.W., Berry, K.J.: Permutation Methods: A Distance Function Approach, 2nd edn. Springer, New York (2007)Google Scholar
- 971.Mielke, P.W., Berry, K.J., Johnson, E.S.: Multi-response permutation procedures for a priori classifications. Commun. Stat. Theor. Methods 5, 1409–1424 (1976)Google Scholar
- 987.Mielke, P.W., Sen, P.K.: On asymptotic non-normal null distributions for locally most powerful rank test statistics. Commun. Stat. Theor. Methods 10, 1079–1094 (1981)MathSciNetGoogle Scholar
- 988.Mielke, P.W., Siddiqui, M.M.: A combinatorial test for independence of dichotomous responses. J. Am. Stat. Assoc. 60, 437–441 (1965)MathSciNetGoogle Scholar
- 996.Milton, R.C.: An extended table of critical values for the Mann–Whitney (Wilcoxon) two-sample statistic. J. Am. Stat. Assoc. 59, 925–934 (1964)MATHMathSciNetGoogle Scholar
- 998.Montgomery, D.C.: A conversation with Stu Hunter. Qual. Eng. 21, 233–240 (2009)Google Scholar
- 999.Mood, A.M.: The distribution theory of runs. Ann. Math. Stat. 11, 367–392 (1940)MathSciNetGoogle Scholar
- 1000.Mood, A.M.: Introduction to the Theory of Statistics. McGraw-Hill, New York (1950)MATHGoogle Scholar
- 1001.Mood, A.M.: On the asymptotic efficiency of certain nonparametric two-sample tests. Ann. Math. Stat. 25, 514–522 (1954)MATHMathSciNetGoogle Scholar
- 1003.Moran, P.A.P.: On the method of paired comparisons. Biometrika 34, 363–365 (1947)MATHMathSciNetGoogle Scholar
- 1004.Moran, P.A.P.: Rank correlation and permutation distributions. Math. Proc. Camb. 44, 142–144 (1948)MATHGoogle Scholar
- 1005.Moran, P.A.P.: Recent developments in ranking theory. J. R. Stat. Soc. B Met. 12, 152–162 (1950)Google Scholar
- 1008.Morton, N.: Cedric Smith (1917–2002). Int. Stat. Inst. News 26, 9–10 (2002)MathSciNetGoogle Scholar
- 1009.Moscovici, S.: Obituary: Leon Festinger. Eur. J. Soc. Psychol. 19, 263–269 (1989)Google Scholar
- 1010.Moses, L.E.: Non-parametric statistics for psychological research. Psychol. Bull. 49, 122–143 (1952)Google Scholar
- 1011.Moses, L.E.: Statistical theory and research design. Annu. Rev. Psychol. 7, 233–258 (1956)Google Scholar
- 1012.Mosteller, F.: Samuel S. Wilks: Statesman of statistics. Am. Stat. 18, 11–17 (1964)Google Scholar
- 1014.Munro, T.A.: Phenylketonuria: Data on forty-seven British families. Ann. Hum. Genet. 14, 60–88 (1947)Google Scholar
- 1017.Murray, G.D.: Reply from BJS statistical advisor to “The Wilcoxon–Mann–Whitney test condemned” by J. Ludbrook. Br. J. Surg. 83, 137 (1996)Google Scholar
- 1018.Murray, M.A.M.: The first lady of math? Yale Alum. Mag., 5–6. http://www.yalealumnimagazine.com/issues/2010_05/letters_412.html (May/June 2010). Accessed 14 Mar 2012
- 1019.Nadkarni, A.S.: Anant Raoji Kamat. Econ. Polit. Weekly 18, 1351–1352 (30 July 1983)Google Scholar
- 1038.Noether, G.E.: Asymptotic properties of the Wald–Wolfowitz test of randomness. Ann. Math. Stat. 21, 231–246 (1950)MATHMathSciNetGoogle Scholar
- 1039.Noether, G.E.: On a theorem of Pitman. Ann. Math. Stat. 26, 64–68 (1955)MATHMathSciNetGoogle Scholar
- 1042.Norman, R.: Biographies of women mathematicians: Grace Murray Hopper. http://www.agnesscott.edu/lriddle/women/hopper.htm (2001). Accessed 13 Mar 2012
- 1054.Olds, E.G.: Distribution of sums of squares of rank differences for small numbers of individuals. Ann. Math. Stat. 9, 133–148 (1938)Google Scholar
- 1056.Olkin, I.: A conversation with W. Allen Wallis. Stat. Sci. 6, 121–140 (1991)MATHMathSciNetGoogle Scholar
- 1057.Olkin, I.: A conversation with Churchill Eisenhart. Stat. Sci. 7, 512–530 (1992)MATHMathSciNetGoogle Scholar
- 1059.Olmstead, P.S., Tukey, J.W.: A corner test for association. Ann. Math. Stat. 18, 495–513 (1947)MATHMathSciNetGoogle Scholar
- 1060.Olson, J.: Henry Berthold Mann. Department of Mathematics, The Ohio State University. http://www.math.osu.edu/history/biographies/mann/. Accessed 20 Jan 2012
- 1065.Ord-Smith, R.J.: Algorithm 308: Generation of permutations in pseudo-lexicographic order. Commun. ACM 10, 7 (1967)Google Scholar
- 1067.Ord-Smith, R.J.: Algorithm 323: Generation of permutations in lexicographic order. Commun. ACM 11, 2 (1968)Google Scholar
- 1085.Page, E.S.: A note on generating random permutations. J. R. Stat. Soc. C Appl. 16, 273–274 (1967)Google Scholar
- 1088.Pascal, B.: Traité du triangle arithmétique (Treatise on the arithmetical triangle). In: Smith, D.E. (ed.) A Source Book in Mathematics, vol. I, pp. 67–79. Dover, New York (1959) [Translated by A. Savitsky]Google Scholar
- 1091.Payne, W.H., Ives, F.M.: Combination generators. ACM Trans. Math. Software 5, 163–172 (1979)Google Scholar
- 1095.Pearson, E.S.: The choice of statistical tests illustrated on the interpretation of data classed in a 2 × 2 table. Biometrika 34, 139–167 (1947)MATHMathSciNetGoogle Scholar
- 1124.Phillips, J.P.N.: Algorithm 28: Permutations of the elements of a vector in lexicographic order. Comput. J. 10, 311 (1967)Google Scholar
- 1129.Pitman, E.J.G.: Significance tests which may be applied to samples from any populations. Suppl. J. R. Stat. Soc. 4, 119–130 (1937)Google Scholar
- 1130.Pitman, E.J.G.: Significance tests which may be applied to samples from any populations: II. The correlation coefficient test. Suppl. J. R. Stat. Soc. 4, 225–232 (1937)Google Scholar
- 1131.Pitman, E.J.G.: Significance tests which may be applied to samples from any populations: III. The analysis of variance test. Biometrika 29, 322–335 (1938)MATHGoogle Scholar
- 1132.Pitman, E.J.G.: Lecture notes on non-parametric statistical inference (1948) [Unpublished lecture notes for a course given at Columbia University in 1948]Google Scholar
- 1140.Plackett, R.L.: Obituary: Churchill Eisenhart. J. R. Stat. Soc. A Stat. 158, 338 (1995)MATHMathSciNetGoogle Scholar
- 1153.Randles, R.H., Wolfe, D.A.: Introduction to the Theory of Nonparametric Statistics. Wiley, New York (1979)MATHGoogle Scholar
- 1167.Rice, W.R.: A new probability model for determining exact p-values for 2 × 2 contingency tables when comparing binomial proportions. Biometrics 44, 1–22 (1988)MATHMathSciNetGoogle Scholar
- 1168.Rice, W.R.: Reply to the discussion of “A new probability model for determining exact P-values for 2 × 2 contingency tables when comparing binomial proportions” by W.R. Rice. Biometrics 44, 18–22 (1988)MathSciNetGoogle Scholar
- 1178.Robinson, J.: The large-sample power of permutation tests for randomization models. Ann. Stat. 1, 291–296 (1973)MATHGoogle Scholar
- 1182.Rodrigues, O.: Note sur les inversions, ou dérangements produits dans les permutations (Note on inversions, or products of derangements in permutations). J. Math. Pure. Appl. 4, 236–240 (1839) [The Journal de Mathématiques Pures et Appliquées is also known as the Journal de Liouville]Google Scholar
- 1183.Rohl, J.S.: Programming improvements to Fike’s algorithm for generating permutations. Comput. J. 19, 156–159 (1976)Google Scholar
- 1184.Rohl, J.S.: Generating permutations by choosing. Comput. J. 21, 302–305 (1978)MATHGoogle Scholar
- 1187.Rojo, J.: Erich Leo Lehmann — A glimpse into his life and work. Ann. Stat. 39, 2244–2265 (2011)MATHMathSciNetGoogle Scholar
- 1193.Rosenbaum, S.: Tables for a nonparametric test of dispersion. Ann. Math. Stat. 24, 663–668 (1953)MATHMathSciNetGoogle Scholar
- 1214.Saito, M., Matsumoto, M.: SIMD-oriented fast Mersenne twister: A 128-bit pseudorandom number generator. In: Keller, A., Heinrich, S., Niederreiter, H. (eds.) Monte Carlo and Quasi-Monte Carlo Methods 2006, pp. 607–622. Springer, Berlin (2008) [Proceedings of the Seventh International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing, held at Ulm University, Germany, in August 2006]Google Scholar
- 1218.Salsburg, D.: The Lady Tasting Tea: How Statistics Revolutionized Science in the Twentieth Century. Holt, New York (2001)Google Scholar
- 1221.Sandiford, P.: Educational Psychology. Longmans, Green & Company, New York (1928) [The graphical method appears in an Appendix by S.D. Holmes, ‘A graphical method of estimating R for small groups’, pp. 391–394]Google Scholar
- 1224.Savage, I.R.: Nonparametric statistics. J. Am. Stat. Assoc. 52, 331–344 (1957)MathSciNetGoogle Scholar
- 1227.Sawrey, W.L.: A distinction between exact and approximate nonparametric methods. Psychometrika 23, 171–177 (1958)MATHGoogle Scholar
- 1229.Schachter, S.: Leon Festinger, May 8, 1919 – February 11, 1989. Natl. Acad. Sci. Bio. Mem., 99–110. http://www.motherjones.com/files/lfestinger.pdf (1994). Accessed 19 June 2012
- 1230.Scheffé, H.: Statistical inference in the non-parametric case. Ann. Math. Stat. 14, 305–332 (1943)MATHGoogle Scholar
- 1231.Scheffé, H.: Alternative models for the analysis of variance. Ann. Math. Stat. 27, 251–271 (1956)MATHGoogle Scholar
- 1273.Siegel, S., Tukey, J.W.: A nonparametric sum of ranks procedure for relative spread in unpaired samples. J. Am. Stat. Assoc. 55, 429–445 (1960) [Corrigendum: J. Am. Stat. Assoc. 56, 1005 (1961)]Google Scholar
- 1275.Silvey, S.D.: The equivalence of asymptotic distributions under randomisation and normal theories. Proc. Glasgow Math. Assoc. 1, 139–147 (1953)MATHMathSciNetGoogle Scholar
- 1276.Silvey, S.D.: The asymptotic distributions of statistics arising in certain nonparametric tests. Proc. Glasgow Math. Assoc. 2, 47–51 (1954)MATHMathSciNetGoogle Scholar
- 1296.Soms, A.P.: An algorithm for the discrete Fisher’s permutation test. J. Am. Stat. Assoc. 72, 662–664 (1977)MATHGoogle Scholar
- 1300.Spearman, C.E.: The proof and measurement of association between two things. Am. J. Psychol. 15, 72–101 (1904)Google Scholar
- 1301.Spearman, C.E.: ‘Footrule’ for measuring correlation. Br. J. Psychol. 2, 89–108 (1906)Google Scholar
- 1335.Sun, Y.Q., Sherman, M.: Some permutation tests for survival data. Biometrics 52, 87–97 (1996)MATHGoogle Scholar
- 1337.Swed, F.S., Eisenhart, C.: Tables for testing randomness of grouping in a sequence of alternatives. Ann. Math. Stat. 14, 66–87 (1943)MATHMathSciNetGoogle Scholar
- 1344.Teichroew, D.: A history of distribution sampling prior to the era of the computer and its relevance to simulation. J. Am. Stat. Assoc. 60, 27–49 (1965)MATHMathSciNetGoogle Scholar
- 1347.Terpstra, T.J.: The asymptotic normality and consistency of Kendall’s test against trend, when ties are present in one ranking. Indagat. Math. 14, 327–333 (1952)MathSciNetGoogle Scholar
- 1360.Thompson, W.R.: Biological applications of normal range and associated significance tests in ignorance of original distribution forms. Ann. Math. Stat. 9, 122–128 (1938)Google Scholar
- 1363.Todhunter, I.: A History of the Mathematical Theory of Probability: From the Time of Pascal to That of Laplace. Chelsea, Bronx (1965/1865) [A 1965 textually-unaltered reprint of the 1865 original]Google Scholar
- 1383.Tukey, J.W., Olmstead, P.S.: The corner test for association. Ann. Math. Stat. 18, 299 (1947)MathSciNetGoogle Scholar
- 1391.van der Reyden, D.: A simple statistical significance test. Rhod. Agric. J. 49, 96–104 (1952)Google Scholar
- 1398.Verdooren, L.R.: Extended tables of critical values for Wilcoxon’s test statistic. Biometrika 50, 177–186 (1963)MathSciNetGoogle Scholar
- 1405.Wald, A., Wolfowitz, J.: On a test whether two samples are from the same population. Ann. Math. Stat. 11, 147–162 (1940)MathSciNetGoogle Scholar
- 1406.Wald, A., Wolfowitz, J.: An exact test for randomness in the non-parametric case based on serial correlation. Ann. Math. Stat. 14, 378–388 (1943)MATHMathSciNetGoogle Scholar
- 1407.Wald, A., Wolfowitz, J.: Statistical tests based on permutations of the observations. Ann. Math. Stat. 15, 358–372 (1944)MATHMathSciNetGoogle Scholar
- 1410.W. Allen Wallis, obituary. Institute of Political Economy. http://www.lib.rochester.edu/index.cfm?page=4727. Accessed 20 Jan 2012
- 1411.Wallis, W.A.: The correlation ratio for ranked data. J. Am. Stat. Assoc. 34, 533–538 (1939)MATHGoogle Scholar
- 1418.Wasserstein, R.: George Box: A model statistician. Significance 7, 134–135 (2010)Google Scholar
- 1419.Watnik, M.: Early computational statistics. J. Comput. Graph. Stat. 20, 811–817 (2011)MathSciNetGoogle Scholar
- 1424.Weik, M.H.: The ENIAC story. Ordnance 45, 571–575 (1961)Google Scholar
- 1426.Weiss, L.: Wald, Abraham. In: Johnson, N.L., Kotz, S. (eds.) Leading Personalities in Statistical Sciences: From the Seventeenth Century to the Present, Wiley Series in Probability and Statistics, pp. 164–167. Wiley, New York (1997)Google Scholar
- 1428.Welch, B.L.: On the z-test in randomized blocks and Latin squares. Biometrika 29, 21–52 (1937)MATHGoogle Scholar
- 1429.Welch, B.L.: On tests for homogeneity. Biometrika 30, 149–158 (1938)MATHGoogle Scholar
- 1430.Welch, B.L.: The significance of the difference between two means when the population variances are unequal. Biometrika 29, 350–362 (1938)MATHGoogle Scholar
- 1431.Welch, W.J.: Rerandomizing the median in matched-pairs designs. Biometrika 74, 609–614 (1987)MathSciNetGoogle Scholar
- 1436.Wells, M.B.: Computing at LASL in the 1940s and 1950s: MANIAC. Tech. rep., Los Alamos Scientific Laboratory, Los Alamos (May 1978)Google Scholar
- 1441.White, C.: The use of ranks in a test of significance for comparing two treatments. Biometrics 8, 33–41 (1952)MATHGoogle Scholar
- 1443.Whitfield, J.W.: Rank correlation between two variables, one of which is ranked, the other dichotomous. Biometrika 34, 292–296 (1947)MATHMathSciNetGoogle Scholar
- 1444.Whitfield, J.W.: Uses of the ranking method in psychology. J. R. Stat. Soc. B Met. 12, 163–170 (1950)Google Scholar
- 1446.Whitworth, W.A.: Choice and Chance. G. E. Stechert, New York (1942)Google Scholar
- 1453.Wilcoxon, F.: Individual comparisons by ranking methods. Biometrics Bull. 1, 80–83 (1945)Google Scholar
- 1454.Wilcoxon, F.: Probability tables for individual comparisons by ranking methods. Biometrics 3, 119–122 (1947)MathSciNetGoogle Scholar
- 1455.Wilkes, M.V.: Memoirs of a Computer Pioneer. MIT Press, Cambridge (1985)Google Scholar
- 1456.Wilks, S.S.: Order statistics. Bull. Am. Math. Soc. 54, 6–50 (1948)MATHMathSciNetGoogle Scholar
- 1460.Willke, T.: In Memoriam – Ransom Whitney. The Ohio State University, Department of Statistics News 16, 8. http://www.stat.osu.edu/sites/default/files/news/statnews2008.pdf (2008). Accessed 17 Jan 2012
- 1464.Wolfowitz, J.: Additive partition functions and a class of statistical hypotheses. Ann. Math. Stat. 13, 247–279 (1942)MATHMathSciNetGoogle Scholar
- 1465.Wolfowitz, J.: On the theory of runs with some applications to quality control. Ann. Math. Stat. 14, 280–288 (1943)MATHMathSciNetGoogle Scholar
- 1466.Wolfowitz, J.: Non-parametric statistical inference. In: Neyman, J. (ed.) Proceedings of the [First] Berkeley Symposium on Mathematical Statistics and Probability, pp. 93–113. University of California Press, Berkeley (1949)Google Scholar
- 1472.Yates, F.: Contingency tables involving small numbers and the χ 2 test. Suppl. J. R. Stat. Soc. 1, 217–235 (1934)MATHGoogle Scholar
- 1484.Zabell, S.: A conversation with William Kruskal. Stat. Sci. 9, 285–303 (1994)MATHMathSciNetGoogle Scholar
- 1485.Zabell, S.: Meyer Dwass 1923–1996. B. Inst. Math. Stat. 27, 1–67 (1998)Google Scholar