On the monotonicity of the power functions of tests based on traces of multivariate beta matrices

DOI10.1016/0047-259X(74)90003-7zbMath0275.62049MaRDI QIDQ2265774

Michael D. Perlman

Publication date: 1974

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

Mathematics Subject Classification ID

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

Related Items

Unnamed Item ⋮ The distribution of the characteristic roots of \(S_ 1 S_ 2^{-1}\) under violations in the complex case and power comparisons of four tests ⋮ Brunn-Minkowski inequality and its aftermath ⋮ Power Function Studies ⋮ Distributions of characteristic roots in multivariate analysis Part II. Non-Null Distribution

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Admissible Bayes Character of $T^2-, R^2-$, and Other Fully Invariant Tests for Classical Multivariate Normal Problems
• A Class of Tests with Monotone Power Functions for Two Problems in Multivariate Statistical Analysis
• Admissible Tests in Multivariate Analysis of Variance
• Monotonicity of the Power Functions of Some Tests of the Multivariate Linear Hypothesis
• Monotonicity of the Power Functions of Some Tests of Independence between Two Sets of Variates
• Distribution of the Sum of Roots of a Determinantal Equation under a Certain Condition
• Some New Test Criteria in Multivariate Analysis