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An alternative estimation approach for the heterogeneity linear mixed model

Marie-José Martinez 1 Emma Holian 2
1 MISTIS - Modelling and Inference of Complex and Structured Stochastic Systems
Inria Grenoble - Rhône-Alpes, LJK - Laboratoire Jean Kuntzmann, Grenoble INP - Institut polytechnique de Grenoble - Grenoble Institute of Technology
Abstract : In this paper, an alternative estimation approach is proposed to fit linear mixed effects models where the random effects follow a finite mixture of normal distributions. This heterogeneity linear mixed model is an interesting tool since it relaxes the classical normality assumption and is also perfectly suitable for classification purposes, based on longitudinal profiles. Instead of fitting directly the heterogeneity linear mixed model, we propose to fit an equivalent mixture of linear mixed models under some restrictions which is computationally simpler. Unlike the former model, the latter can be maximized analytically using an EM-algorithm and the obtained parameter estimates can be easily used to compute the parameter estimates of interest.
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Submitted on : Thursday, January 9, 2014 - 10:15:52 PM
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Marie-José Martinez, Emma Holian. An alternative estimation approach for the heterogeneity linear mixed model. Communications in Statistics - Simulation and Computation, Taylor & Francis, 2014, 43 (10), pp.2628-2638. ⟨10.1080/03610918.2012.762389⟩. ⟨hal-00926620⟩



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