On power and sample size determinations for the Wilcoxon-Mann-Whitney test

This article considers power and sample size calculations for the Wilcoxon-Mann-Whitney test. An exact variance large-sample method is introduced and explicit formulas are derived for the uniform, normal, double exponential and exponential shift models. A Monte Carlo simulation study is conducted to...

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Bibliographic Details
Published inJournal of nonparametric statistics Vol. 18; no. 1; pp. 33 - 43
Main Authors Shieh, Gwowen, Jan, Show-li, Randles, Ronald H.
Format Journal Article
LanguageEnglish
Published Taylor & Francis 01.01.2006
Subjects
Large-sample approximation
Nonparametric method
Two-sample location problem
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Summary:This article considers power and sample size calculations for the Wilcoxon-Mann-Whitney test. An exact variance large-sample method is introduced and explicit formulas are derived for the uniform, normal, double exponential and exponential shift models. A Monte Carlo simulation study is conducted to evaluate the exact variance procedure and compare its performance with some other large sample methods. The results show the remarkable accuracy of the suggested formula and the fundamental limitations of the other approximations. Practical considerations in determination of sample size for the two-sample location problem are also discussed.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
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ISSN:1048-5252
1029-0311
DOI:10.1080/10485250500473099