Convexity of acceptance regions of multivariate tests

DOI10.1016/0024-3795(85)90195-8zbMath0567.62043OpenAlexW2046480655MaRDI QIDQ1059957

James V. Bondar

Publication date: 1985

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(85)90195-8

zbMATH Keywords

unbiasednessmultivariate analysis of variancepower functionsnoncentrality parametersacceptance regionsincreasing convex functionssquare roots of the eigenvalues

Mathematics Subject Classification ID

Hypothesis testing in multivariate analysis (62H15)

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
• Monotonicity of the Power Functions of Some Tests of the Multivariate Linear Hypothesis
• Inequalities: theory of majorization and its applications

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