Tests Based on Admissible Estimators in Two Variance Components Models

DOI10.1080/02331889408802446zbMath0816.62019OpenAlexW1970153451MaRDI QIDQ4763458

Stanisław Gnot, Andrzej M. Michalski

Publication date: 10 April 1995

Published in: Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331889408802446

zbMATH Keywords

block designsNeyman-Pearson lemmapower functionstwo variance components modeltwo-way classification modelsnonnegative admissible invariant quadratic estimatorstests for variance components

Mathematics Subject Classification ID

Parametric hypothesis testing (62F03) Analysis of variance and covariance (ANOVA) (62J10) Admissibility in statistical decision theory (62C15)

Related Items (3)

On locally optimal invariant unbiased tests for the variance components ratio in mixed linear models ⋮ Testing Hypotheses for Variance Components in Mixed Linear Models ⋮ On testing variance components in unbalanced mixed linear model.

Cites Work

• Applying Wald's variance component test
• Nonnegativity of admissible invariant quadratic estimates in mixed linear models with two variance components
• Optimum tests in unbalanced two-way models without interaction
• Power comparisons for invariant variance ratio tests in mixed ANOVA models
• Invariant quadratic unbiased estimation for two variance components
• Quadratic estimation in mixed linear models with two variance components
• On the Ratio of Variances in the Mixed Incomplete Block Model
• When can random effects be treated as fixed effects for computing a test statistic for a linear hypothesis?
• Linear and quadratic Estimation from Inter- and Intra-Elock Sources of Information
• A Note on Regression Analysis
• A Note on the Analysis of Variance with Unequal Class Frequencies
• The Ratio of Variances in a Variance Components Model

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