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A Note on Performance of Conditional Akaike Information Criteria in Linear Mixed Models

  • Lee, Yonghee (Department of Statistics, University of Seoul)
  • Received : 2015.08.17
  • Accepted : 2015.09.05
  • Published : 2015.09.30

Abstract

It is not easy to select a linear mixed model since the main interest for model building could be different and the number of parameters in the model could not be clearly defined. In this paper, performance of conditional Akaike Information Criteria and its bias-corrected version are compared with marginal Bayesian and Akaike Information Criteria through a simulation study. The results from the simulation study indicate that bias-corrected conditional Akaike Information Criteria shows promising performance when candidate models exclude large models containing the true model, but bias-corrected one prefers over-parametrized models more intensively when a set of candidate models increases. Marginal Bayesian and Akaike Information Criteria also have some difficulty to select the true model when the design for random effects is nested.

Keywords

References

  1. Dimova, R. B., Markatou, M. and Talal, A. H. (2011). Information methods for model selection in linear mixed effects models with application to HCV data, Computational Statistics & Data Analysis, 55, 2677-2697. https://doi.org/10.1016/j.csda.2010.10.031
  2. Greven, S. and Kneib, T. (2010). On the behaviour of marginal and conditional AIC in linear mixed models, Biometrika, 97, 773-789. https://doi.org/10.1093/biomet/asq042
  3. Liang, H., Wu, H. and Zou, G. (2008). A note on conditional AIC for linear mixed-effects models, Biometrika, 95, 773-778. https://doi.org/10.1093/biomet/asn023
  4. McCulloch, C. E. and Searle, S. R. (2001). Generalized Linear Mixed Models, John Wiley & Sons, New York.
  5. Muller, S., Scealy, J. L. and Welsh, A. H. (2013). Model selection in linear mixed models, Statistical Science, 28, 135-167. https://doi.org/10.1214/12-STS410
  6. Searle, S. R., Casella, G. and McCulloch, C. E. (1992). Variance Components, John Wiley & Sons, New York.
  7. Stein, C. M. (1981). Estimation of the mean of a multivariate normal distribution, Annals of Statistics, 9, 1135-1151. https://doi.org/10.1214/aos/1176345632
  8. Vaida, F. and Blanchard, S. (2005). Conditional Akaike information for mixed-effects models, Biometrika, 92, 351-370. https://doi.org/10.1093/biomet/92.2.351