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Asymptotic Equivalence between Cross-Validations and Akaike Information Criteria in Mixed-Effects Models
Volume 9, Issue 1 (2011), pp. 15–21
Yixin Fang  

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https://doi.org/10.6339/JDS.201101_09(1).0002
Pub. online: 4 August 2022      Type: Research Article      Open accessOpen Access

Published
4 August 2022

Abstract

Abstract: For model selection in mixed effects models, Vaida and Blan chard (2005) demonstrated that the marginal Akaike information criterion is appropriate as to the questions regarding the population and the conditional Akaike information criterion is appropriate as to the questions regarding the particular clusters in the data. This article shows that the marginal Akaike information criterion is asymptotically equivalent to the leave-one-cluster-out cross-validation and the conditional Akaike information criterion is asymptotically equivalent to the leave-one-observation-out cross-validation.

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Keywords
AIC degrees of freedom functional data model selection

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