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University of Windsor

Theses/Dissertations

1984

Mathematics.

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Fourth Moment And Simulated Powers Of Mrpp Statistics., Islamuddin H. Tajuddin Jan 1984

Fourth Moment And Simulated Powers Of Mrpp Statistics., Islamuddin H. Tajuddin

Electronic Theses and Dissertations

In classical tests of hypotheses, assumptions concerning normality and homogeneity of variances are needed. Often practical data do not meet some of these assumptions and the idea of robustness is advanced. To avoid making assumptions underlying a tests, Mielke, Berry and Johnson introduced the MRPP (Multi-response Permutation Procedures) test. The test statistic (delta) is simply a weighted average of some distance measure between pairs of observations within a group. It tests H(,0): Classification of data into g groups is random against H(,1): Classification is done according to some a priori scheme. Special cases of (delta) are equivalent to some well-known …