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

JOURNAL OF MULTIVARIATE ANALYSIS

卷:52

Article

SEO, T ; KANDA, T ; FUJIKOSHI, Y

关键词: NONNORMAL POPULATION;    ELLIPTIC DISTRIBUTION;    ASYMPTOTIC EXPANSION;    PERTURBATION METHOD;    MONTE CARLO SIMULATION;   

DOI  :  10.1006/jmva.1995.1017

来源: Elsevier

【 摘 要 】

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 statistics when the populations depart from normality, perturbation expansions for test statistics are derived. The asymptotic expansions of the expectations of the test statistics are given under the class of elliptical 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.

【 授权许可】

Free