Bayesian parsimonious covariance estimation for hierarchical linear mixed models

Publication: Working/Discussion PaperWU Working Paper

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Abstract

We considered a non-centered parameterization of the standard random-effects model, which is based on the Cholesky decomposition of the variance-covariance matrix. The regression type structure of the non-centered parameterization allows to choose a simple, conditionally conjugate normal prior on the Cholesky factor. Based on the non-centered parameterization, we search for a parsimonious variance-covariance matrix by identifying the non-zero elements of the Cholesky factors using Bayesian variable selection methods. With this method we are able to learn from the data for each effect, whether it is random or not, and whether covariances among random effects are zero or not. An application in marketing shows a substantial reduction of the number of free elements of the variance-covariance matrix. (author's abstract)
Original languageEnglish
Place of PublicationVienna
PublisherInstitut für Statistik und Mathematik, WU Vienna University of Economics and Business
Publication statusPublished - 2004

Publication series

NameResearch Report Series / Department of Statistics and Mathematics
No.11

WU Working Paper Series

  • Research Report Series / Department of Statistics and Mathematics

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