A Rank Sum Test for Comparing All Pairs of Treatments

1960/05/01 by Robert G. D. Steel, R. G. D. Steel · 289 citations
Mathematics · Pharmacology, Toxicology and Pharmaceutics · #Biology #Combinatorics #Mathematics #Pharmacy and Medical Practices #Rank (graph theory) #Statistics #Test (biology)

paper · doi:10.1080/00401706.1960.10489894

published in Technometrics 2(2), 197-207 (Taylor & Francis)

openalex publication_date 1960/05/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

A multiple comparison rank sum test, for the simultaneous comparison of all pairs of treatments in a one-way classification with equal numbers of observations, is presented. An example is worked and tables of critical values are given. Computation of probabilities for the general case of unequal numbers of observations is considered and means, variances, and covariances are given for this case.

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