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Permutation Tests for Common Locations Among Samples With Unequal Variances

Colorado State University

In completely randomized experimental designs where population variances are equal under the null hypothesis, it is not uncommon to have multiplicative treatment effects that produce unequal variances under the alternative hypothesis. Permutation procedures are presented to test for (a) median location and scale shifts, (b) scale shifts only, and (c) mean location shifts only. Corresponding multivariate extensions are provided. Location-shift power comparisons between the parametric Bartlett-Nanda-Pillai trace test and three alternative multivariate permutation tests for five bivariate distributions are included.

Key Words: completely randomized design • Euclidean distance • two-sample Hotelling T² test

Journal of Educational and Behavioral Statistics, Vol. 19, No. 3, 217-236 (1994)
DOI: 10.3102/10769986019003217


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				P. W. Mielke Jr. and K. J. Berry Multivariate Tests for Correlated Data in Completely Randomized Designs Journal of Educational and Behavioral Statistics, January 1, 1999; 24(2): 109 - 131. [Abstract] [PDF]