Marginal likelihood and Bayesian approaches to the analysis of heterogeneous residual variances in mixed linear Gaussian models

DOI10.1016/0167-9473(92)90137-5zbMath0800.62386OpenAlexW2094551994MaRDI QIDQ1330525

Jean-Louis Foulley, Magali San Cristobal

Publication date: 21 July 1994

Published in: Computational Statistics and Data Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-9473(92)90137-5

zbMATH Keywords

normalitylikelihood ratio testmaximum likelihoodmixed linear modelheteroskedasticityBayesian techniques

Mathematics Subject Classification ID

Estimation in multivariate analysis (62H12) Linear regression; mixed models (62J05) Bayesian inference (62F15)

Related Items (4)

Bayesian inference using a noninformative prior for linear Gaussian random coefficient regression with inhomogeneous within-class variances ⋮ Hierarchical Bayesian modeling of heterogeneous cluster- and subject-level associations between continuous and binary outcomes in dairy production ⋮ Inferring upon heterogeneous associations in dairy cattle performance using a bivariate hierarchical model ⋮ A structural mixed model to shrink covariance matrices for time-course differential gene expression studies

Uses Software

• GLIM

Cites Work

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• Minimum chi-square, not maximum likelihood!
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• An extended quasi-likelihood function
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• Bootstrap Methods for Testing Homogeneity of Variances
• A Bayesian Approach to the Linear Model with Unequal Variances
• Recovery of inter-block information when block sizes are unequal
• Linear Statistical Inference and its Applications

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