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Empirical model selection in generalized linear mixed effects models

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Abstract

This paper focuses on model selection in generalized linear mixed models using an information criterion approach. In these models in general, the response marginal distribution cannot be analytically derived. Thus, for parameter estimation, two approximations are revisited both leading to iterative model linearizations. We propose simple model selection criteria adapted from information criteria and based on the linearized model obtained at convergence of the algorithm. The quality of derived criteria are evaluated through simulations.

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References

  • Akaike H (1973) Information theory as an extension of the maximum likelihood principle, In: Petrov B, Csaki F (eds), Second International symposium on information theory. Akademiai Kiado, pp 267–281

  • Akaike H (1974) A new look at the statistical identification model. IEEE Trans Automatic Control 19:716–723

    Article  MATH  MathSciNet  Google Scholar 

  • Anderson DA, Aitkin M (1985) Variance components models with binary response: interviewer variability. J R Stat Soc Ser B 47(2):203–210

    MathSciNet  Google Scholar 

  • Bozdogan H (1987) Model selection and Akaike’s information criterion (AIC): the general theory and its analytical extensions. Psychometrika 52:345–370

    Article  MATH  MathSciNet  Google Scholar 

  • Burnham KP, Anderson DR (2002) Model selection and multimodel inference: a practical information- theoretic approach, 2nd edn. Springer, Heidelberg

    MATH  Google Scholar 

  • Gaudoin O, Lavergne C, Soler JL (1994) A generalized geometric de-eutrophication software reliability model. IEEE Trans Reliability 43:536–541

    Article  Google Scholar 

  • Gilmour AR, Anderson RD, Rae AL (1985) The analysis of binomial data by a generalized linear mixed model. Biometrika 72(3):593–599

    Article  MathSciNet  Google Scholar 

  • Harville DA (1977) Maximum-likelihood approaches to variance component estimation and to related problems. J Am Stat Assoc 72:320–340

    Article  MATH  MathSciNet  Google Scholar 

  • Kullback S, Leibler RA (1951) On information and sufficiency. Ann Math Stat 22:79–86

    Article  MathSciNet  Google Scholar 

  • Lindstrom MJ, Bates DM (1990) Nonlinear mixed-effects models for repeated measures data. Biometrics 46:673–687

    Article  MathSciNet  Google Scholar 

  • McCullagh P, Nelder JA (1989) Generalized linear models, 2nd edn. Chapman and Hall, London

    MATH  Google Scholar 

  • Pinheiro JC, Bates DM (2000) Mixed-Effects Models in S and S-PLUS. Springer, Heidelberg

    MATH  Google Scholar 

  • Schall R (1991) Estimation in generalized linear models with random effects. Biometrika 78(4):719–727

    Article  MATH  Google Scholar 

  • Searle SR, Casella G, McCulloch CE (1992) Variance components. Wiley, London

    MATH  Google Scholar 

Download references

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Correspondence to Marie-José Martinez.

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Lavergne, C., Martinez, MJ. & Trottier, C. Empirical model selection in generalized linear mixed effects models. Computational Statistics 23, 99–109 (2008). https://doi.org/10.1007/s00180-007-0071-y

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  • DOI: https://doi.org/10.1007/s00180-007-0071-y

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