A new rank test for the K-Sample problem

References

• Barbour , A. D. and Eagleson , G. K. 1985 . “Multiple comparPsons and dissociated statistics” . To appear in Adv. AppL. Phob ,
   Google Scholar
• Crouse , C. F. 1961 . “A non-null ranking model for a sequence of m alternatives” . Biometrika , 48 : 441 – 444 .
   Google Scholar
• Crouse , C. F. 1966 . “Distribution free tests based on the sample distribution function” . Biometrika , 53 : 99 – 108 .
   PubMed Web of Science ®Google Scholar
• Iman , R. L. and Davenport , J. M. 1976 . “New approximations to the exact distribution of the Kruskal-Wallis test statistic” . Commun. Statist.-Theor. Meth , 14 : 1334 – 1348 .
   Google Scholar
• Jonckheere , A. R. 1954 . “A distribution free k-sample test against ordered alternatives” . Biometrika , 41 : 133 – 145 .
   Web of Science ®Google Scholar
• Kruskal , W. H. 1952 . “A nonparametric test for the several sample problem” . Ann. Math. Statist , 23 : 525 – 540 .
   Google Scholar
• Kruskal , W. H. and Wallis , W. 1952 . “Use of ranks in one-criterion variance analysis” . J. Amer. Statist. Ass , 47 : 583 – 621 .
   Web of Science ®Google Scholar
• Lehmann , E. L. 1975 . Nonoparametrics : Statistical Methods Based on Ranks , San Francisco : Holden-Day Inc .
   Google Scholar
• Mann , H. B. and Whitney , D. R. 1947 . “On a test whether one of two random variables is stochastically larger than the other” . Ann. Math. Statist , 18 : 50 – 60 .
   Google Scholar
• Steel , R. G. D. 1960 . “A rank sum test for comparing all pairs of treatments” . Technometrics , 2 : 197 – 207 .
   Google Scholar
• Wallace , D. L. 1959 . “Simplified Beta approximations to the Kruskal-Wallis H test” . J. Amer. Statist. Ass , 54 : 225 – 230 .
   Web of Science ®Google Scholar
• Whitney , D. R. 1951 . “A bivariate extension of the U-statistic” . Ann. Math. Statist , 22 : 274 – 282 .
   Google Scholar