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Biometrika 1970 57(3):579-594; doi:10.1093/biomet/57.3.579
© 1970 by Biometrika Trust
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A generalized Kruskal-Wallis test for comparing K samples subject to unequal patterns of censorship

NORMAN BRESLOW

University of Washington

A generalization of the Kruskal-Wallis test, which extends Gehan's generalization of Wilcoxon's test, is proposed for testing the equality of K continuous distribution functions when observations are subject to arbitrary right censorship. The distribution of the censoring variables is allowed to differ for different populations. An alternative statistic is proposed for use when the censoring distributions may be assumed equal. These statistics have asymptotic chi-squared distributions under their respective null hypotheses, whether the censoring variables are regarded as random or as fixed numbers. Asymptotic power and efficiency calculations are made and numerical examples provided.


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