Biomedical Engineering Reference
In-Depth Information
7.3.2.1
Update Move ::::::::::::::::::::::::::::::: 178
7.3.2.2
Birth Move ::::::::::::::::::::::::::::::::: 179
7.3.2.3
Death Move :::::::::::::::::::::::::::::::: 180
7.4
Bayesian Model Comparison Criteria :::::::::::::::::::::::::::: 181
7.4.1
Logarithm of Pseudo-Marginal Likelihood :::::::::::::: 181
7.4.2
Deviance Information Criterion ::::::::::::::::::::::::: 182
7.5
\Dynsurv" Package ::::::::::::::::::::::::::::::::::::::::::::::: 183
7.6
Simulation Study ::::::::::::::::::::::::::::::::::::::::::::::::: 184
7.7
Analysis of the Breast Cancer Data ::::::::::::::::::::::::::::: 187
7.8
Discussion :::::::::::::::::::::::::::::::::::::::::::::::::::::::: 191
Bibliography :::::::::::::::::::::::::::::::::::::::::::::::::::::: 192
7.1
Introduction
Interval-censored data arise when the onset time of a certain event is not
observed exactly but only known to be either between two observed time
points or after an observed time. The latter case, known as right-censored,
can be viewed as interval-censored with the right end of the interval being
infinity. Interval-censored data are common in biomedical research and epi-
demiological studies, where each subject is assessed at a sequence of visits,
instead of being monitored continuously, during the whole follow-up period.
The Cox proportional hazards model (Cox, 1972) has been extended to work
with interval-censored data. Existing methods include the rank-based Monte
Carlo approach (Satten, 1996), the Markov chain Monte Carlo (MCMC) EM
approach (Goggins et al., 1998), the iterative convex minorant (ICM) approach
(Pan, 1999), the multiple imputations (Pan, 2000), and the EM-based missing
data approach (Goetghebeur and Ryan, 2000).
A key assumption of the Cox model is the proportionality of the hazards.
That is, the relative risk of two subjects with time-independent covariates
Search WWH ::
Custom Search