<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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.</p></abstract>

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.

Sample size determination in the Mann–Whitney test

Biometrical Letters

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Sample size determination in the Mann\u2013Whitney 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...

Sample size determination in the Mann–Whitney test

Published Online: Dec 13, 2017

Page range: 175 - 186

DOI: https://doi.org/10.1515/bile-2017-0010

Keywords
Mann-Whitney test, sample size, empirical power

© by Andrzej Kornacki

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Sample size determination in the Mann–Whitney test

Published Online: Dec 13, 2017

Page range: 175 - 186

DOI: https://doi.org/10.1515/bile-2017-0010

KeywordsMann-Whitney test, sample size, empirical power

© by Andrzej Kornacki

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Mann-Whitney test, sample size, empirical power