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Exact Distribution of the K Sample Mood and Brown Median Test 

Authors: Hongsuk Jorn a; Jerome Klotz b
Affiliations:   a Department of Statistics, Inha University, No. 253 Yonghyun-dong, Namgu, Incheon 402-751, Republic of Korea.
b Department of Statistics, University of Wisconsin, 1210 West Dayton Street, Madison, Wisconsin 53706-1685, USA E-mail: hsjorn@anova.inha.ac.kr (H. Jorn); klotz@stat.wisc.edu (J. Klotz).
DOI: 10.1080/10485250212376
Publication Frequency: 8 issues per year
Published in: journal Journal of Nonparametric Statistics, Volume 14, Issue 3 2002 , pages 249 - 257
Number of References: 10
Formats available: PDF (English)
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Abstract

We organize an array of vectors to guide calculation of the exact distribution of the K sample median test by a convolution formula. We obtain considerable savings in computation over earlier methods that enumerate all possible 2 times K tables with fixed margins. We also give a method of multiple comparisons using contrasts related to the statistic.
Keywords: Exact Distribution; Convolution; Ties; Contrasts
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