1. On Sample Size of the Kruskal-Wallis Test with Application to a Mouse Peritoneal Cavity Study.
- Author
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Chunpeng Fan, Donghui Zhang, and Cun-Hui Zhang
- Subjects
- *
PERITONEUM , *SIMULATION methods & models , *SAMPLE size (Statistics) , *LABORATORY mice , *NONPARAMETRIC statistics - Abstract
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. [ABSTRACT FROM AUTHOR]
- Published
- 2011
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