Kruskal-Wallis one-way analysis of variance based on linear placements
Bull. Korean Math. Soc. 2014 Vol. 51, No. 3, 701-716
Published online May 31, 2014
Yicheng Hong and Sungchul Lee
Yonsei University, Yonsei University
Abstract : The limiting distribution for the linear placement statistics under the null hypotheses has been provided by Orban and Wolfe \cite{OW1982} and Kim \cite{K1999} when one of the sample sizes goes to infinity, and by Kim, Lee and Wang \cite{KLW2011} when the sample sizes of each group go to infinity simultaneously. In this paper we establish the generalized Kruskal-Wallis one-way analysis of variance for the linear placement statistics.
Keywords : Kruskal-Wallis one-way analysis of variance, central limit theorem, linear placement statistic
MSC numbers : Primary 60F05, 62E20, 62G20; Secondary 60E05, 60E10
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