Comparison of powers of a class of tests for multivariate linear hypothesis and independence

DOI10.1016/0047-259X(88)90072-3zbMath0644.62064MaRDI QIDQ1102666

Yasunori Fujikoshi

Publication date: 1988

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

zbMATH Keywords

independencelikelihood ratio testMANOVAmultivariate linear hypothesisclass of test statisticsLawley-Hotelling trace testpower comparisonslocal powersasymptotic expansions of powersBartlett-Nanda-Pillai trace test

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Asymptotic distribution theory in statistics (62E20) Hypothesis testing in multivariate analysis (62H15)

Related Items (9)

Contributions to multivariate analysis by Professor Yasunori Fujikoshi ⋮ Comparison of powers and exact bahadur slopes of some tests for dimensionality in manova models ⋮ A comparison of higher-order local powers of a class of one-way MANOVA tests under general distributions ⋮ Tests for the mean direction of the Langevin distribution with large concentration parameter ⋮ Tests for a given linear structure of the mean direction of the Langevin distribution ⋮ A Closed Testing Procedure for Canonical Correlations ⋮ Third-order power comparisons for a class of tests for multivariate linear hypothesis under general distributions ⋮ Testing for Panel Unit Roots under General Cross-sectional Dependence ⋮ On Comparisons of Exact Powers of Bivariate GMANOVA Tests

Cites Work

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• An asymptotic expansion of the distribution of the studentized classification statistic W
• Approximate Normality of Generalized Least Squares Estimates
• A comparison of the powers of two multivariate analysis of variance tests
• Comparative Robustness of Six Tests in Multivariate Analysis of Variance
• An Asymptotic Expansion for the Distribution of a Statistic Admitting an Asymptotic Expansion
• A comparison of tests of the Wilks-Lawley hypothesis in multivariate analysis
• Some Non-Central Distribution Problems in Multivariate Analysis
• Properties of sufficiency and statistical tests

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