On locally optimal invariant unbiased tests for the variance components ratio in mixed linear models

DOI10.1007/S00362-009-0257-1zbMath1247.62145OpenAlexW2049490451MaRDI QIDQ451341

Andrzej M. Michalski

Publication date: 23 September 2012

Published in: Statistical Papers (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00362-009-0257-1

zbMATH Keywords

distribution of quadratic forms

Mathematics Subject Classification ID

Linear regression; mixed models (62J05) Hypothesis testing in multivariate analysis (62H15) Analysis of variance and covariance (ANOVA) (62J10)

Uses Software

• AS 155

Cites Work

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• Applying Wald's variance component test
• Optimum tests in unbalanced two-way models without interaction
• Power comparisons for invariant variance ratio tests in mixed ANOVA models
• Distributions of maximal invariants using quotient measures
• Invariant quadratic unbiased estimation for two variance components
• Robust tests for spherical symmetry
• Quadratic estimation in mixed linear models with two variance components
• Confidence Intervals for a Variance Ratio, or for Heritability, in an Unbalanced Mixed Linear Model
• Algorithm AS 155: The Distribution of a Linear Combination of χ 2 Random Variables
• Tests Based on Admissible Estimators in Two Variance Components Models
• Testing Hypotheses for Variance Components in Mixed Linear Models
• Computing the distribution of quadratic forms in normal variables
• Quadratic Subspaces and Completeness
• Linear Statistical Inference and its Applications
• Linear and quadratic Estimation from Inter- and Intra-Elock Sources of Information
• On the Fundamental Lemma of Neyman and Pearson
• The Ratio of Variances in a Variance Components Model

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