Some distribution-free rane-like statistics having the mann-whitney-wilcoxon null distribution |
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Authors: | Michael A Fligner Robert V Hogg Timothy J Killeen |
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Institution: | The Ohio State University, University of Iowa , The University of Connecticut |
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Abstract: | In this note we suggest a class of two-sample test statistics iich have, as their null distribution,the Mann-Whitney-Wilcoxon ill distribution. An interesting property of these statistics is lat many are not rank statistics; that is, they cannot be coumplited from, the ranks of the original observations. However, they %e still distribution-free when the two populations are identi-il. This class contains the Mann-Whitney-Wilcoxon test for the niality of location parameters of two distributions and a two-aiaple test for equality of spreads of two distributions recently ivestigated by Fligner and Killeen (1976) |
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Keywords: | Mann-Whitney-Wilcoxon statistic testing equality of two independent distributions distribution-free property |
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