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An Algorithm for Computing the Exact Distribution of the Kruskal-Wallis Test

Title
An Algorithm for Computing the Exact Distribution of the Kruskal-Wallis Test
Authors
Choi W.Lee J.W.Huh M.-H.Kang S.-H.
Ewha Authors
강승호
SCOPUS Author ID
강승호scopus
Issue Date
2003
Journal Title
Communications in Statistics Part B: Simulation and Computation
ISSN
0361-0918JCR Link
Citation
Communications in Statistics Part B: Simulation and Computation vol. 32, no. 4, pp. 1029 - 1040
Indexed
SCIE; SCOPUS WOS scopus
Document Type
Article
Abstract
The Kruskal-Wallis test is a popular nonparametric test for comparing k independent samples. In this article we propose a new algorithm to compute the exact null distribution of the Kruskal-Wallis test. Generating the exact null distribution of the Kruskal-Wallis test is needed to compare several approximation methods. The 5% cut-off points of the exact null distribution which StatXact cannot produce are obtained as by-products. We also investigate graphically a reason that the exact and approximate distributions differ, and hope that it will be a useful tutorial tool to teach about the Kruskal-Wallis test in undergraduate course.
DOI
10.1081/SAC-120023876
Appears in Collections:
자연과학대학 > 통계학전공 > Journal papers
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