On some nonparametric tests for profile analysis of several multivariate samples
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.
Year of publication: |
1977
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Authors: | Bhapkar, V. P. ; Patterson, Kenneth W. |
Published in: |
Journal of Multivariate Analysis. - Elsevier, ISSN 0047-259X. - Vol. 7.1977, 2, p. 265-277
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Publisher: |
Elsevier |
Keywords: | profile analysis generalized U statistics nonparametric tests consistency asymptotic power |
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