THE EFFECTS OF NONNORMALITY OF TESTS FOR DIMENSIONALITY IN CANONICAL CORRELATION AND MANOVA MODELS

In this paper we consider the usual test statistics for dimensionality in canonical correlation and MANOVA models for nonnormal populations. In order to know the effects of the null distributions of the test st atistics when the populations depart from normality, perturbation expa nsions for test statistics are derived. The asymptotic expansions of t he expectations of the test statistics are given under the class of el liptical populations. Further, modified test statistics with a better chi-squared approximation are proposed. Finally, numerical results by Monte Carlo simulations are presented. (C) 1995 Academic Press, Inc.