Biometrical Letters


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Volume (54) Number 2 pp. 175-186

Andrzej Kornacki 1, Andrzej Bochniak 1, Agnieszka Kubik-Komar 1

1Department of Applied Mathematics and Computer –Science, University of Life Sciences in Lublin, Akademicka 15, 20-950 , Lublin, Poland

Sample size determination in the Mann–Whitney test


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: Mann-Whitney test, sample size, empirical power

DOI: 10.1515/bile-2017-0010

For citation:

MLA Kornacki, Andrzej, et al. "Sample size determination in the Mann–Whitney test." Biometrical Letters 54.2 (2017): 175-186. DOI: 10.1515/bile-2017-0010
APA Kornacki, A., Bochniak, A., & Kubik-Komar, A. (2017). Sample size determination in the Mann–Whitney test. Biometrical Letters 54(2), 175-186 DOI: 10.1515/bile-2017-0010
ISO 690 KORNACKI, Andrzej, BOCHNIAK, Andrzej, KUBIK-KOMAR, Agnieszka. Sample size determination in the Mann–Whitney test. Biometrical Letters, 2017, 54.2: 175-186. DOI: 10.1515/bile-2017-0010
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