Bayesian inference for longitudinal data with non-parametric treatment effects

Peter Müller, Fernando A. Quintana, Gary L. Rosner, Michael L. Maitland

Research output: Contribution to journalArticlepeer-review

Abstract

We consider inference for longitudinal data based on mixed-effects models with a non-parametric Bayesian prior on the treatment effect. The proposed non-parametric Bayesian prior is a random partition model with a regression on patient-specific covariates. The main feature and motivation for the proposed model is the use of covariates with a mix of different data formats and possibly high-order interactions in the regression. The regression is not explicitly parameterized. It is implied by the random clustering of subjects. The motivating application is a study of the effect of an anticancer drug on a patient's blood pressure. The study involves blood pressure measurements taken periodically over several 24-h periods for 54 patients. The 24-h periods for each patient include a pretreatment period and several occasions after the start of therapy.

Original languageEnglish (US)
Pages (from-to)341-352
Number of pages12
JournalBiostatistics
Volume15
Issue number2
DOIs
StatePublished - Apr 2014

Keywords

  • Clustering
  • Mixed-effects model
  • Non-parametric Bayesian model
  • Random partition
  • Repeated measurement data

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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