On some nonparametric tests for profile analysis of several multivariate samples

V. P. Bhapkar and Kenneth W. Patterson

Journal of Multivariate Analysis, 1977, vol. 7, issue 2, 265-277

Abstract: For profile analysis of independent samples from several multivariate populations, a nonparametric analog of the hypothesis of parallelism of population profiles is formulated. A class of asymptotically distribution-free statistics is offered to test this hypothesis. These are based on generalized U statistics and are in some sense modifications of statistics offered previously by one of the authors for testing the homogeneity hypothesis. Consistency of these statistics is established for suitable alternatives and also asymptotic power is investigated.

Keywords: profile; analysis; generalized; U; statistics; nonparametric; tests; consistency; asymptotic; power (search for similar items in EconPapers)
Date: 1977
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