On Sample Size of the Kruskal-Wallis Test with Application to a Mouse Peritoneal Cavity Study

Chunpeng Fan, Donghui Zhang, Cunhui Zhang

Research output: Contribution to journalArticle

13 Scopus citations


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 nonnormal or unknown. Although the Kruskal-Wallis test 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.

Original languageEnglish (US)
Pages (from-to)213-224
Number of pages12
Issue number1
StatePublished - Mar 1 2011

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Biochemistry, Genetics and Molecular Biology(all)
  • Immunology and Microbiology(all)
  • Agricultural and Biological Sciences(all)
  • Applied Mathematics


  • Kruskal-Wallis test
  • Location shift alternatives
  • Power
  • Sample size

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