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Biometrika 1981 68(3):720-724; doi:10.1093/biomet/68.3.720
© 1981 by Biometrika Trust
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Miscllanea

A class of nonparametric tests based on multiresponse permutation procedures

PAUL W. MIELKE, KENNETH J. BERRY, PETER J. BROCKWELL and JAMES S. WILLIAMS

Department of Statistics, Colorado State University Fort Collins

A class of univariate rank tests based on multiresponse permutation procedures is introduced. Asymptotic equivalence is established between one member of this class and the Kruskal-Wallis test. Simulated power comparisons for location shift detection indicate that another member of the class provides superior detection efficiency for location shifts of bimodal distributions and of heavy tailed unimodal distributions. Furthermore, both tests possess substantial computational advantages over other members of the class.

Key Words: Kruskal-Wallis test • Location alternative • Mann-Whitney-Wilcoxon test • Nonparametrie test • Permutation test • Sampling without replacement • Simulated power comparison


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