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Permutation Tests for Common Locations Among Samples With Unequal Variances

Author

Listed:
  • Paul W. Mielke Jr
  • Kenneth J. Berry

Abstract

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.

Suggested Citation

  • Paul W. Mielke Jr & Kenneth J. Berry, 1994. "Permutation Tests for Common Locations Among Samples With Unequal Variances," Journal of Educational and Behavioral Statistics, , vol. 19(3), pages 217-236, September.
    • Handle: RePEc:sae:jedbes:v:19:y:1994:i:3:p:217-236
    DOI: 10.3102/10769986019003217
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