Bayesian prediction analysis for growth curve model using noninformative priors

Gwowen Shieh*, Jack C. Lee

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We apply a Bayesian approach to the problem of prediction in an unbalanced growth curve model using noninformative priors. Due to the complexity of the model, no analytic forms of the predictive densities are available. We propose both approximations and a prediction-oriented Metropolis-Hastings sampling algorithm for two types of prediction, namely the prediction of future observations for a new subject and the prediction of future values for a partially observed subject. They are illustrated and compared through real data and simulation studies. Two of the approximations compare favorably with the approximation in Fearn (1975, Biometrika, 62, 89-100) and are very comparable to the more accurate Rao-Blackwellization from Metropolis-Hastings sampling algorithm.

Original languageEnglish
Pages (from-to)324-337
Number of pages14
JournalAnnals of the Institute of Statistical Mathematics
Volume54
Issue number2
DOIs
StatePublished - Jun 2002

Keywords

  • Approximations
  • Metropolis-Hastings
  • Posterior
  • Random coefficient regression
  • Rao-Blackwellization

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