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Mixture of linear mixed models Application to repeated data clustering

Gilles Celeux 1 Christian Lavergne 1 Olivier Martin 1
1 IS2 - Statistical Inference for Industry and Health
Inria Grenoble - Rhône-Alpes, LBBE - Laboratoire de Biométrie et Biologie Evolutive - UMR 5558
Abstract : The problem of finite mixture analysis from repeated data is considered. Data variability is taken into account through linear mixed models leading to a mixture of mixed models. The maximum likelihood estimation of this family of models through the EM algorithm is presented. The problem of selecting a particular mixture of mixed models is considered. Illustrative Monte Carlo experiments are presented and an application to the clustering of gene expression profiles is detailed. All those experiments highlight the interest of linear mixed model mixtur es for taking account of data variability in a proper way.
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https://hal.inria.fr/inria-00072022
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Submitted on : Tuesday, May 23, 2006 - 7:34:59 PM
Last modification on : Monday, February 10, 2020 - 4:36:45 PM
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  • HAL Id : inria-00072022, version 1

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Gilles Celeux, Christian Lavergne, Olivier Martin. Mixture of linear mixed models Application to repeated data clustering. [Research Report] RR-4566, INRIA. 2002. ⟨inria-00072022⟩

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