On the power function of the likelihood ratio test for MANOVA

DOI10.1006/jmva.2001.2036zbMath0995.62062OpenAlexW2011095194MaRDI QIDQ700145

Dulal Kumar Bhaumik, Sanat Kumar Sarkar

Publication date: 30 September 2002

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

Full work available at URL: https://doi.org/10.1006/jmva.2001.2036

zbMATH Keywords

zonal polynomialsWishart distributionsmaximal invariantsproduct of beta variates

Mathematics Subject Classification ID

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

Cites Work

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• Unbiasedness of invariant tests for MANOVA and other multivariate problems
• A monotonicity property of the power functions of some invariant tests for MANOVA
• On the power of Wilks' U-test for MANOVA
• The integral of an invariant unimodal function over an invariant convex set—an inequality and applications
• Monotonicity of the Power Functions of Some Tests of the Multivariate Linear Hypothesis

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