A tractable Bayesian joint model for longitudinal and survival data

dc.contributor.authorAlvares D.
dc.contributor.authorRubio F.J.
dc.date.accessioned2024-01-10T13:10:09Z
dc.date.available2024-01-10T13:10:09Z
dc.date.issued2021
dc.description.abstract© 2021 John Wiley & Sons Ltd.We introduce a numerically tractable formulation of Bayesian joint models for longitudinal and survival data. The longitudinal process is modeled using generalized linear mixed models, while the survival process is modeled using a parametric general hazard structure. The two processes are linked by sharing fixed and random effects, separating the effects that play a role at the time scale from those that affect the hazard scale. This strategy allows for the inclusion of nonlinear and time-dependent effects while avoiding the need for numerical integration, which facilitates the implementation of the proposed joint model. We explore the use of flexible parametric distributions for modeling the baseline hazard function which can capture the basic shapes of interest in practice. We discuss prior elicitation based on the interpretation of the parameters. We present an extensive simulation study, where we analyze the inferential properties of the proposed models, and illustrate the trade-off between flexibility, sample size, and censoring. We also apply our proposal to two real data applications in order to demonstrate the adaptability of our formulation both in univariate time-to-event data and in a competing risks framework. The methodology is implemented in rstan.
dc.fechaingreso.objetodigital2024-04-12
dc.fuente.origenScopus
dc.identifier.doi10.1002/sim.9024
dc.identifier.eissn10970258
dc.identifier.issn10970258 02776715
dc.identifier.pubmedidMEDLINE:34114254
dc.identifier.scopusidSCOPUS_ID:85107489056
dc.identifier.urihttps://doi.org/10.1002/sim.9024
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/77785
dc.identifier.wosidWOS:000659869200001
dc.information.autorucFacultad de Matemáticas; Alvares Da Silva, Danilo; 0000-0003-3764-0397; 1081962
dc.language.isoen
dc.nota.accesocontenido parcial
dc.pagina.final4229
dc.pagina.inicio4213
dc.publisherJohn Wiley and Sons Ltd
dc.revistaStatistics in Medicine
dc.rightsacceso restringido
dc.subjectcompeting risks
dc.subjectgeneral hazard structure
dc.subjectgeneralized linear mixed models
dc.subjectpower generalized weibull
dc.subject.ods03 Good Health and Well-being
dc.subject.odspa03 Salud y bienestar
dc.titleA tractable Bayesian joint model for longitudinal and survival data
dc.typeartículo
dc.volumen40
sipa.codpersvinculados1081962
sipa.indexWos
sipa.indexScopus
sipa.indexPubmed
sipa.trazabilidadCarga SIPA;09-01-2024
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