On Comparisons of Exact Powers of Bivariate GMANOVA Tests

DOI10.1080/03610920600974443zbMath1109.62050OpenAlexW2067827152MaRDI QIDQ3435988

Takayuki Yamada

Publication date: 8 May 2007

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610920600974443

zbMATH Keywords

Mellin transformGMANOVA modelzonal polynomialshypergeometric function of matrix argumentsclassical testsLaguerre polynomials of matrix argumentsRothenberg's condition

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Hypothesis testing in multivariate analysis (62H15) Generalized linear models (logistic models) (62J12) Analysis of variance and covariance (ANOVA) (62J10)

Cites Work

• Unnamed Item
• On the exact finite series distribution of the smallest or the largest root of matrices in three situations
• Bessel functions of matrix argument
• Comparison of powers of a class of tests for multivariate linear hypothesis and independence
• Asymptotic expansions of the non-nuu distributions of three statistics in GMANOVA
• A note on a Manova model applied to problems in growth curve

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