Optimum invariant tests for random manova models

DOI10.2307/3314640zbMath0665.62055OpenAlexW2085211544MaRDI QIDQ3816852

Rita Das, Bimal Kumar Sinha

Publication date: 1988

Published in: Canadian Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3314640

zbMATH Keywords

robustnessmixed-effects modelmaximal invariantrandom-effects modeltrace testuniformly most powerful invariantfull linear groupdeviations from normalitycanonical-form MANOVAlocally best invaiantnormally distributed error matrixWijsman's representaion theorem

Mathematics Subject Classification ID

Hypothesis testing in multivariate analysis (62H15) Characterization and structure theory for multivariate probability distributions; copulas (62H05) Foundations and philosophical topics in statistics (62A01) Characterization and structure theory of statistical distributions (62E10) Analysis of variance and covariance (ANOVA) (62J10)

Related Items (4)

An optimal test for variance components of multivariate mixed-effects linear models ⋮ Invariant tests for covariance structures in multivariate linear model ⋮ Similar tests for covariance structures in multivariate linear models ⋮ Hypotheses tests for variance components in some multivariate mixed models

Cites Work

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• On the mean squared error of nonparametric quantile estimators under random right-censorship
• A LIL type result for the product limit estimator
• The rate of strong uniform consistency for the product-limit estimator
• Nonparametric estimates of probability densities
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