JSM 2011 Online Program

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Abstract Details

Activity Number: 526
Type: Contributed
Date/Time: Wednesday, August 3, 2011 : 10:30 AM to 12:20 PM
Sponsor: Section on Statistical Computing
Abstract - #301949
Title: Hierarchical CAR Models for Survival Data with Cure Rate Models
Author(s): Yajun Liu*+
Companies: University of Missouri
Address: 134 Middlebus Hall, Columbia, MO, 65211,
Keywords: CAR ; Cure Rate Model ; Weibull ; Survival ; Ratio-of-Uniforms ; Spatial
Abstract:

In this paper, we proposed a Bayesian hierarchical linear mixed model with spatial effects for right-censored survival data analysis. We compared a special case of the classic Cox model with Weibull hazard and the cure rate model. In both models, we applied the generalized linear mixed model with different effects to the hazard rates. A conditional autoregressive (CAR) prior is used to capture the spatial effects, which are decided by counties the survival subjects belong to. The computation is done by Gibbs Sampling. The Ratio-of-Uniforms method is used to sample from a non-standard conditional posterior density, and the ARM is also used to sample from log-concave densities. DICs are compared between different models. The simulation is done based on the Colon & Rectum Cancer (CRC) incidences in Iowa from SEER Data. The computation is implemented in Intel Fortran on Linux platform.


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