Presented at The One-day Workshop on Spatial-Temporal Models in Epidemiology and Health. Faculdade de Ciências da Universidade de Lisboa, 20 June 2014.Research was partially supported by the projects PTDC/MAT/118335/2010 and FCT Pest-OE/MAT/UI0006/2011

Andreozzi, Valeska

Martins, Rui

Silva, Giovani

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Joint Analysis of Longitudinal and Survival AIDS Data– a Bayesian perspectiveRui MartinsGiovani SilvaValeska AndreozziOne-day Workshop on Spatial-Temporal Models in Epidemiology and Health(ciiEM/CEAUL) Spatial Joint Analysis 1 / 3Spatial Joint Analysis for AIDS DataLongitudinal Modelyikj = µik(tikj) +W1ik(tikj) + ikjyikj =√CD4: j-th count for theindividual i = 1, . . . , nk living in thek = 1, . . . ,K regionWik(t) = (W1ik(t),W2ik(t)):zero-mean latent bivariate GaussianprocessW1ik = U1ik + U2iktikj(U1ik, U2ik) ∼ N2(0,Σ)Survival ModelTik ∼Weibull(r, µik(t))log(µik(t)) = xT2ik(t)β2+W2ik(t)+QkW2ik = γ1U1ik + γ2U2ik.Qk|σ2Q ∼ ICAR(σ2Q): spatial frailtyRelativ Risk 0.98 to 0.990.99 to 11 to 11 to 1.021.02 to 1.04(ciiEM/CEAUL) Spatial Joint Analysis 2 / 3AcknowledgmentsMaria Goretti Pereira Fonseca Medeiros e Cla´udia Medina Coeli (FioCruz)for providing us the data set.This research was partially supported by the projectsPTDC/MAT/118335/2010 and FCT Pest-OE/MAT/UI0006/2011.(ciiEM/CEAUL) Spatial Joint Analysis 3 / 3

Joint analysis of longitudinal and survival AIDS data - a Bayesian perspective

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Joint analysis of longitudinal and survival AIDS data - a Bayesian perspective

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