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Model Selection in Linear Mixed Models

Open access
Müller, Samuel, Scealy, J. L., Welsh, A. H.·2013·Statistical Science

Abstract

Linear mixed effects models are highly flexible in handling a broad range of data types and are therefore widely used in applications. A key part in the analysis of data is model selection, which often aims to choose a parsimonious model with other desirable properties from a possibly very large set of candidate statistical models. Over the last 5–10 years the literature on model selection in linear mixed models has grown extremely rapidly. The problem is much more complicated than in linear regression because selection on the covariance structure is not straightforward due to computational issues and boundary problems arising from positive semidefinite constraints on covariance matrices. To obtain a better understanding of the available methods, their properties and the relationships between them, we review a large body of literature on linear mixed model selection. We arrange, implement, discuss and compare model selection methods based on four major approaches: information criteria such as AIC or BIC, shrinkage methods based on penalized loss functions such as LASSO, the Fence procedure and Bayesian techniques.

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Metadata

Authors
Müller, S., Scealy, J. L., & Welsh, A. H.
Venue
Statistical Science
Published
2013-05-01
Volume
28
Issue
2
Pages
135-167
ISSN
0883-4237 (ISSN-L)
OpenAlex
W1985497040
Cited by
324
References
78
FWCI
24.37
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Model Selection in Linear Mixed Models. https://app.cochat.ai/papers/10.1214/12-sts410
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Müller, S., Scealy, J. L., & Welsh, A. H. (2013). Model Selection in Linear Mixed Models. Statistical Science. https://doi.org/10.1214/12-sts410

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