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Modeling of covariance structures of random effects and random errors in linear mixed models

Yu Fei, Yating Pan, Yin Chen and Jianxin Pan

Communications in Statistics - Theory and Methods, 2016, vol. 45, issue 9, 2748-2769

Abstract: In this paper, we discuss how to model the mean and covariancestructures in linear mixed models (LMMs) simultaneously. We propose a data-driven method to modelcovariance structures of the random effects and random errors in the LMMs. Parameter estimation in the mean and covariances is considered by using EM algorithm, and standard errors of the parameter estimates are calculated through Louis’ (1982) information principle. Kenward’s (1987) cattle data sets are analyzed for illustration,and comparison to the literature work is made through simulation studies. Our numerical analysis confirms the superiority of the proposed method to existing approaches in terms of Akaike information criterion.

Date: 2016
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DOI: 10.1080/03610926.2015.1089290

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