Longitudinal studies with outcome-dependent follow-up

Models and bayesian regression

Duchwan Ryu, Debajyoti Sinha, Bani Mallick, Stuart R. Lipsitz, Steven E Lipshultz

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

We propose Bayesian parametric and semiparametric partially linear regression methods to analyze the outcome-dependent follow-up data when the random time of a follow-up measurement of an individual depends on the history of both observed longitudinal outcomes and previous measurement times. We begin with the investigation of the simplifying assumptions of Lipsitz, Fitzmaurice, Ibrahim, Gelber, and Lipshultz, and present a new model for analyzing such data by allowing subject-specific correlations for the longitudinal response and by introducing a subject-specific latent variable to accommodate the association between the longitudinal measurements and the follow-up times. An extensive simulation study shows that our Bayesian partially linear regression method facilitates accurate estimation of the true regression line and the regression parameters. We illustrate our new methodology using data from a longitudinal observational study.

Original languageEnglish
Pages (from-to)952-961
Number of pages10
JournalJournal of the American Statistical Association
Volume102
Issue number479
DOIs
StatePublished - Sep 1 2007

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Longitudinal Study
Regression
Dependent
Linear regression
Regression line
Observational Study
Latent Variables
Model
Simulation Study
Longitudinal study
Methodology
Regression method

Keywords

  • Bayesian cubic smoothing spline
  • Latent variable
  • Partially linear model

ASJC Scopus subject areas

  • Mathematics(all)
  • Statistics and Probability

Cite this

Longitudinal studies with outcome-dependent follow-up : Models and bayesian regression. / Ryu, Duchwan; Sinha, Debajyoti; Mallick, Bani; Lipsitz, Stuart R.; Lipshultz, Steven E.

In: Journal of the American Statistical Association, Vol. 102, No. 479, 01.09.2007, p. 952-961.

Research output: Contribution to journalArticle

Ryu, Duchwan ; Sinha, Debajyoti ; Mallick, Bani ; Lipsitz, Stuart R. ; Lipshultz, Steven E. / Longitudinal studies with outcome-dependent follow-up : Models and bayesian regression. In: Journal of the American Statistical Association. 2007 ; Vol. 102, No. 479. pp. 952-961.
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