Skip to main content
SpringerLink
Log in

Fitting via alternative random-effect models

  • Published:
Statistics and Computing Aims and scope Submit manuscript

Abstract

When there are two alternative random-effect models leading to the same marginal model, inferences from one model can be used for the other model. We illustrate how a likelihood method for fitting models with independent random effects can be applied to seemingly very different models with correlated random effects. We also discuss some merits of using these alternative models.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Breslow N.E. and Clayton D.G. 1993. Approximate inference in generalized linear mixed models. J. Amer. Statist. Assoc. 88: 9–25.

    Article  MATH  Google Scholar 

  • Gruttola V.D. and Tu X.M. 1994. Modelling progression of CD4-lymphocyte count and its relationship to survival time. Biometrics 50: 1003–1014.

    Article  MATH  Google Scholar 

  • Ha I.D. and Lee Y. 2003. Estimating frailty models via Poisson hierarchical generalized linear models. Journal of Computational and Graphical Statistics 12: 663–681.

    Article  MathSciNet  Google Scholar 

  • Ha I.D., Lee Y. and Song J.K. 2001. Hierarchical likelihood approach for frailty models. Biometrika 88: 233–243.

    Article  MATH  MathSciNet  Google Scholar 

  • Ha I.D., Lee Y. and Song J.K. 2001. Hierarchical likelihood approach for mixed linear models with censored data. Lifetime Data Analysis 8: 163–176.

    Article  MathSciNet  Google Scholar 

  • Harville D.A. 1977. Maximum likelihood approaches to variance component estimation and related problems. J. Amer. Statist. Assoc. 72: 320–340.

    Article  MATH  MathSciNet  Google Scholar 

  • Kenward M.G., Verbyla A., Welham S., Cullis B. and Lessaffre E. 2001. Proceedings in the 2001 spring meeting of the International Biometric Society Eastern North American Region. Jointly with IMS and Sections of the ASA.

  • Lee Y. and Nelder J.A. 1996. Hierarchical generalized linear models (with discussion). J. R. Statist. Soc. B 58: 619–678.

    MATH  MathSciNet  Google Scholar 

  • Lee Y. and Nelder J.A. 2001a. Hierarchical generalised linear models: A synthesis of generalised linear models, random effect models and structured dispersions. Biometrika 88: 987–1006.

    Article  MathSciNet  Google Scholar 

  • Lee Y. and Nelder J.A. 2001b. Modelling and analysing correlated non-normal data. Statistical Modelling 1: 3–16.

    Article  Google Scholar 

  • Longford N. 1995. Random Coefficient Models. Clarendon Oxford.

  • Ma R., Krewski D. and Burnett R.T. 2003. Random effects Cox models: A Poisson modelling approach. Biometrika 90: 157–169.

    Article  MATH  MathSciNet  Google Scholar 

  • Matsuyama Y. and Ohashi Y. 1997. Mixed models for bivariate response repeated measures data using Gibbs sampling. Statistics in Medicine 16: 1587–1601.

    Article  Google Scholar 

  • Park S., Palta M. Shao J. and Shen L. 2002. Bias adjustment in analysing longitudinal data with informative missingness. Statistics in Medicine 21: 277–291.

    Google Scholar 

  • Rasbash J., Browne W., Harvey G., Yang M., Plewis I., Healy M., Woodhouse G., Draper D., Langford I. and Lewis T. 2000. A user's guide to MLwiN; version 2.1c, Centre for Multilevel Modelling. Institute of Education, University of London.

  • Therneau T.M. and Gramsch P.M. 2000. Modelling Survival Data: Extending the Cox Model. Springer-Verlag, New York.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Statistics, Seoul National University, Seoul, 151-742, Korea

    Youngjo Lee

  2. Imperial College, London, UK

    John A. Nelder

Authors
  1. Youngjo Lee
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. John A. Nelder
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Youngjo Lee.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lee, Y., Nelder, J.A. Fitting via alternative random-effect models. Stat Comput 16, 69–75 (2006). https://doi.org/10.1007/s11222-006-5534-4

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11222-006-5534-4

Keywords

Search

Navigation