Joint Model for Longitudinal and Survival Data
The joint model for longitudinal and time-to-event data, formalised by Tsiatis and Davidian in 2004 and extended comprehensively by Rizopoulos in 2012, simultaneously estimates a mixed-effects model for repeatedly measured biomarkers and a survival model for the time to an event, linking the two processes through shared random effects. It resolves two major problems that simpler approaches cannot handle: informative dropout from longitudinal studies and the endogeneity of time-varying biomarkers used as covariates in a Cox model.
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- Rizopoulos, D. (2012). Joint Models for Longitudinal and Time-to-Event Data. CRC Press. · DOI 10.1201/b12208
- Tsiatis, A.A. & Davidian, M. (2004). Joint Modeling of Longitudinal and Time-to-Event Data: An Overview. Statistica Sinica, 14(3), 809–834. · URL
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