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September 2009 Assessing the association between trends in a biomarker and risk of event with an application in pediatric HIV/AIDS
Elizabeth R. Brown
Ann. Appl. Stat. 3(3): 1163-1182 (September 2009). DOI: 10.1214/09-AOAS251

Abstract

We present a new joint longitudinal and survival model aimed at estimating the association between the risk of an event and the change in and history of a biomarker that is repeatedly measured over time. We use cubic B-splines models for the longitudinal component that lend themselves to straight-forward formulations of the slope and integral of the trajectory of the biomarker. The model is applied to data collected in a long term follow-up study of HIV infected infants in Uganda. Estimation is carried out using MCMC methods. We also explore using the deviance information criteria, the conditional predictive ordinate and ROC curves for model selection and evaluation.

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Elizabeth R. Brown. "Assessing the association between trends in a biomarker and risk of event with an application in pediatric HIV/AIDS." Ann. Appl. Stat. 3 (3) 1163 - 1182, September 2009. https://doi.org/10.1214/09-AOAS251

Information

Published: September 2009
First available in Project Euclid: 5 October 2009

zbMATH: 1196.62136
MathSciNet: MR2750391
Digital Object Identifier: 10.1214/09-AOAS251

Keywords: biomarker change , disease progression , HIV/AIDS , joint longitudinal and survival models , mother-to-child transmission

Rights: Copyright © 2009 Institute of Mathematical Statistics

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Vol.3 • No. 3 • September 2009
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