Likelihood ratio tests for variance components in linear mixed models

DOI10.1016/j.jspi.2008.06.016zbMath1419.62033OpenAlexW1995109709WikidataQ57588088 ScholiaQ57588088MaRDI QIDQ998999

Viviana Giampaoli, Julio da Motta Singer

Publication date: 30 January 2009

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2008.06.016

zbMATH Keywords

asymptotic distributiontests of hypothesesboundary of parameter space

Mathematics Subject Classification ID

Parametric hypothesis testing (62F03) Analysis of variance and covariance (ANOVA) (62J10) Asymptotic properties of parametric tests (62F05)

Related Items (17)

A monotone frequentist measure of evidence for testing variance components in linear mixed models ⋮ On likelihood ratio testing for penalized splines ⋮ Confidence regions near singular information and boundary points with applications to mixed models ⋮ \(U\)-tests for variance components in linear mixed models ⋮ On the inefficiency of the restricted maximum likelihood ⋮ Assessment of variance components in nonlinear mixed-effects elliptical models ⋮ Random Effects Misspecification Can Have Severe Consequences for Random Effects Inference in Linear Mixed Models ⋮ Inference of nonlinear mixed models for clustered data under moment conditions ⋮ Testing variance components in balanced linear growth curve models ⋮ Selection of terms in random coefficient regression models ⋮ Bias‐reduced marginal Akaike information criteria based on a Monte Carlo method for linear mixed‐effects models ⋮ Variance Components Testing in <scp>ANOVA</scp>‐Type Mixed Models ⋮ A residual-based test for variance components in linear mixed models ⋮ Sequential probabilistic ratio test for the scale parameter of the \(P\)-norm distribution ⋮ Testing random effects in linear mixed models: another look at the F‐test (with discussion) ⋮ Improved \(U\)-tests for variance components in one-way random effects models ⋮ Testing for Random Effects in Growth Curve Models

Uses Software

• S-PLUS
• MEMSS

Cites Work

• Unnamed Item
• Linear and generalized linear mixed models and their applications.
• Generalization of likelihood ratio tests under nonstandard conditions
• The Use of Score Tests for Inference on Variance Components
• Much Ado About Nothing: the Mixed Models Controversy Revisited
• Asymptotic Properties of Maximum Likelihood Estimators and Likelihood Ratio Tests Under Nonstandard Conditions
• Mixed-Effects Models in S and S-PLUS
• Bayes Factors and Approximations for Variance Component Models
• Likelihood Ratio Tests in Linear Mixed Models with One Variance Component
• A Score Test Against One-Sided Alternatives
• Variance Components Testing in the Longitudinal Mixed Effects Model

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