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Predictive model selection for repeated measures random effects models using Bayes factors

R E Weiss1, Y Wang, J G Ibrahim

  • 1Department of Biostatistics, UCLA School of Public Health 90095-1772, USA.

Biometrics
|June 1, 1997
PubMed
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This study introduces a novel predictive approach for Bayesian model selection in repeated measures random effects models. This method simplifies prior specification for fixed effects selection in biostatistical analysis.

Area of Science:

  • Biostatistics
  • Statistical Modeling
  • Bayesian Analysis

Background:

  • Repeated measures random effects models are common in biostatistics.
  • Model selection tools are limited for complex models beyond generalized linear models.
  • Bayes factors are standard for Bayesian model exploration.

Purpose of the Study:

  • To develop a predictive approach for specifying priors in repeated measures random effects models.
  • To facilitate the selection of fixed effects within these models.
  • To provide a unified prior specification for multiple models.

Main Methods:

  • A predictive approach is proposed for Bayesian model selection.
  • Priors are specified using a single predictive distribution.

Related Experiment Videos

  • Focus is on selecting fixed effects in random effects models.
  • Methodology applied to pediatric pain data.
  • Main Results:

    • The predictive approach offers a unified method for prior specification.
    • It simplifies the selection of fixed effects in complex models.
    • Demonstrated utility in a real-world biostatistical application.

    Conclusions:

    • The developed predictive approach enhances Bayesian model selection for repeated measures data.
    • It provides a practical tool for biostatisticians, particularly for fixed effects selection.
    • The method is robust and applicable to various complex statistical models.