Statistical tests for structural relationship

DOI10.1016/0167-7152(91)90010-OzbMath0742.62058OpenAlexW1972840919MaRDI QIDQ1186638

Wei-Hsiung Shen, Bimal Kumar Sinha

Publication date: 28 June 1992

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-7152(91)90010-o

zbMATH Keywords

likelihood ratio testmultivariate normal populationsunion-intersection principlemean vectorsunequal covariance matricesadmissible Bayes testsHotelling's \(T\)-square testtest for structural relationship

Mathematics Subject Classification ID

Hypothesis testing in multivariate analysis (62H15) Bayesian inference (62F15) Admissibility in statistical decision theory (62C15)

Cites Work

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• Tests for dimensionality and interactions of mean vectors under general and reducible covariance structures
• A new class of multivariate tests based on the union-intersection principle
• The likelihood ratio tests for the dimensionality of regression coefficients
• A note on a Manova model applied to problems in growth curve
• Admissible Bayes Character of $T^2-, R^2-$, and Other Fully Invariant Tests for Classical Multivariate Normal Problems
• Linear Statistical Inference and its Applications
• THE SAMPLING DISTRIBUTION OF SOME STATISTICS OBTAINED FROM NON‐LINEAR EQUATIONS
• Estimating Linear Restrictions on Regression Coefficients for Multivariate Normal Distributions
• On a Heuristic Method of Test Construction and its use in Multivariate Analysis
• A Note on Rank, Multicollinearity and Multiple Regression