Premium
A hierarchical conditional autoregressive model for colorectal cancer survival data
Author(s) -
Liu Yajun,
Sun Dongchu,
He Chong Z.
Publication year - 2013
Publication title -
wiley interdisciplinary reviews: computational statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.693
H-Index - 38
eISSN - 1939-0068
pISSN - 1939-5108
DOI - 10.1002/wics.1283
Subject(s) - markov chain monte carlo , gibbs sampling , autoregressive model , statistics , computer science , proportional hazards model , bayesian probability , bayesian inference , data mining , mathematics
In this article, we propose a Bayesian hierarchical linear mixed model to cancer data with geographical characteristics. The spatial effects are captured via a conditional autoregressive ( CAR ) model. The survival model is introduced to analyze the survival pattern of colorectal cancer based on geographical factors and patients' disease conditions. We propose a special case of the classic Cox model with Weibull hazard as well as a cure rate model. A CAR prior is used to capture the spatial effects, which are determined based on counties the survival subjects belong to. The computation is done via Gibbs sampling. The ratio‐of‐uniforms method is used to sample from a nonstandard conditional posterior density, and the adaptive rejection method is used to sample from log‐concave densities. The model is applied to the Colon & Rectum Cancer incidences in Iowa from the Surveillance, Epidemiology, and End Results ( SEER ) database. Computation is implemented in Intel Fortran on Linux platform. WIREs Comput Stat 2014, 6:37–44. doi: 10.1002/wics.1283 This article is categorized under: Statistical and Graphical Methods of Data Analysis > Markov Chain Monte Carlo (MCMC) Statistical and Graphical Methods of Data Analysis > Reliability, Survivability, and Quality Control