1. bookVolume 54 (2017): Issue 2 (December 2017)
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17 Aug 2013
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English
access type Open Access

Sample size determination in the Mann–Whitney test

Published Online: 13 Dec 2017
Page range: 175 - 186
Journal Details
License
Format
Journal
First Published
17 Aug 2013
Publication timeframe
2 times per year
Languages
English

This paper discusses the problem of determining the number of observations necessary to apply the nonparametric Mann-Whitney test. We describe the method given by Noether (1987) for determining a sample size which guarantees that the Mann-Whitney test at a given significance level α has a predetermined power 1-β. The presented theory is tested by calculating the empirical power in computer simulations. The paper also raises the issue of the method of rounding the determined sample size to an even number when the sample is divided into two equinumerous subsamples.

Keywords

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Fisz M. (1967) Rachunek Prawdopodobieństwa i Statystyka Matematyczna. PWN, Warsaw.Search in Google Scholar

Hamedani, G. G.; Tata, M. N. (1975) On the determination of the bivariate normal distribution from distributions of linear combinations of the variables. The American Mathematical Monthly, 82 (9): 913-915.10.2307/2318494Open DOISearch in Google Scholar

Noether G. E. (1987) Sample Size Determination for Some Common Nonparametric Tests. Journal of the American Statistical Association 82: 645-647.10.1080/01621459.1987.10478478Open DOISearch in Google Scholar

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