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On sample size of the Kruskal-Wallis test with application to a mouse peritoneal cavity study. (English) Zbl 1217.62059

Summary: As the nonparametric generalization of the one-way analysis of variance model, the Kruskal-Wallis test applies when the goal is to test the difference between multiple samples and the underlying population distributions are non-normal or unknown. Although the Kruskal-Wallis test [W. H. Kruskal and W. A. Wallis, J. Am. Stat. Assoc. 47, 583–621 (1952; Zbl 0048.11703)] has been widely used for data analysis, power and sample size methods for this test have been investigated to a much lesser extent. This article proposes new power and sample size calculation methods for the Kruskal-Wallis test based on the pilot study in either a completely nonparametric model or a semiparametric location model. No assumption is made on the shape of the underlying population distributions. Simulation results show that, in terms of sample size calculation for the Kruskal-Wallis test, the proposed methods are more reliable and preferable to some more traditional methods. A mouse peritoneal cavity study is used to demonstrate the application of the methods.

MSC:

62G10 Nonparametric hypothesis testing
62P10 Applications of statistics to biology and medical sciences; meta analysis
65C60 Computational problems in statistics (MSC2010)
62J10 Analysis of variance and covariance (ANOVA)

Citations:

Zbl 0048.11703
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References:

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