Premium
On Sample Size of the Kruskal–Wallis Test with Application to a Mouse Peritoneal Cavity Study
Author(s) -
Fan Chunpeng,
Zhang Donghui,
Zhang CunHui
Publication year - 2011
Publication title -
biometrics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.298
H-Index - 130
eISSN - 1541-0420
pISSN - 0006-341X
DOI - 10.1111/j.1541-0420.2010.01407.x
Subject(s) - kruskal–wallis one way analysis of variance , nonparametric statistics , sample size determination , kruskal's algorithm , statistics , mathematics , sample (material) , population , analysis of variance , generalization , statistical hypothesis testing , computer science , algorithm , mann–whitney u test , medicine , mathematical analysis , chemistry , environmental health , chromatography , minimum spanning tree
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 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.