On Some Nonparametric Tests for Profile Analysis of Several Multivariate Samples.

摘要

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 homogenity hypothesis. Consistency of these statistics is established for suitable alternatives and also asymptotic powers is investigated. (Author)