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Joint dispersion model with a flexible link

dc.contributor.authorMartins, Rui
dc.date.accessioned2017-02-10T11:08:39Z
dc.date.available2017-02-10T11:08:39Z
dc.date.issued2016-04
dc.description.abstract"The objective is to model longitudinal and survival data jointly taking into account the dependence between the two responses in a real HIV/AIDS dataset using a shared parameter approach inside a Bayesian framework. We propose a linear mixed effects dispersion model to adjust the CD4 longitudinal biomarker data with a between-individual heterogeneity in the mean and variance. In doing so we are relaxing the usual assumption of a common variance for the longitudinal residuals. A hazard regression model is considered in addition to model the time since HIV/AIDS diagnostic until failure, being the coefficients, accounting for the linking between the longitudinal and survival processes, time-varying. This flexibility is specified using Penalized Splines and allows the relationship to vary in time. Because heteroscedasticity may be related with the survival, the standard deviation is considered as a covariate in the hazard model, thus enabling to study the effect of the CD4 counts’ stability on the survival. The proposed framework outperforms the most used joint models, highlighting the importance in correctly taking account the individual heterogeneity for the measurement errors variance and the evolution of the disease over time in bringing new insights to better understand this biomarker-survival relation."pt_PT
dc.description.sponsorshipEgas Moniz - Cooperativa de Ensino Superior CRLpt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationMartins, R. (2016). Joint dispersion model with a flexible link. arXiv,1604.08853pt_PT
dc.identifier.urihttp://hdl.handle.net/10400.26/17914
dc.language.isoengpt_PT
dc.peerreviewednopt_PT
dc.publisherarXiv.orgpt_PT
dc.relation.publisherversionhttps://arxiv.org/abs/1604.08853pt_PT
dc.subjectJoint modelpt_PT
dc.subjectBayesian analysispt_PT
dc.subjectRepeated measurementspt_PT
dc.subjectVariance modelpt_PT
dc.subjectTime-to-eventpt_PT
dc.subjectPenalized Splinespt_PT
dc.subjectTime-dependent coefficientspt_PT
dc.titleJoint dispersion model with a flexible linkpt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.citation.startPage1604.08853pt_PT
oaire.citation.titleArxivpt_PT
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT

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