Statements in which the resource exists as a subject.
PredicateObject
rdf:type
lifeskim:mentions
pubmed:issue
1
pubmed:dateCreated
2009-12-18
pubmed:abstractText
In epidemiological and clinical studies, time-to-event data often violate the assumptions of Cox regression due to the presence of time-dependent covariate effects and unmeasured risk factors. An alternative approach, which does not require proportional hazards, is to use a first hitting time model which treats a subject's health status as a latent stochastic process that fails when it reaches a threshold value. Although more flexible than Cox regression, existing methods do not account for unmeasured covariates in both the initial state and the rate of the process. To address this issue, we propose a Bayesian methodology that models an individual's health status as a Wiener process with subject-specific initial state and drift. Posterior inference proceeds via a Markov chain Monte Carlo methodology with data augmentation steps to sample the final health status of censored observations. We apply our method to data from melanoma patients with nonproportional hazards and find interesting differences from a similar model without random effects. In a simulation study, we show that failure to account for unmeasured covariates can lead to inaccurate estimates of survival probabilities.
pubmed:grant
pubmed:language
eng
pubmed:journal
pubmed:citationSubset
IM
pubmed:status
MEDLINE
pubmed:month
Jan
pubmed:issn
1468-4357
pubmed:author
pubmed:issnType
Electronic
pubmed:volume
11
pubmed:owner
NLM
pubmed:authorsComplete
Y
pubmed:pagination
111-26
pubmed:dateRevised
2010-11-18
pubmed:meshHeading
pubmed-meshheading:19828558-Algorithms, pubmed-meshheading:19828558-Bayes Theorem, pubmed-meshheading:19828558-Biostatistics, pubmed-meshheading:19828558-Computer Simulation, pubmed-meshheading:19828558-Health Status, pubmed-meshheading:19828558-Humans, pubmed-meshheading:19828558-Kaplan-Meier Estimate, pubmed-meshheading:19828558-Likelihood Functions, pubmed-meshheading:19828558-Markov Chains, pubmed-meshheading:19828558-Melanoma, pubmed-meshheading:19828558-Models, Statistical, pubmed-meshheading:19828558-Monte Carlo Method, pubmed-meshheading:19828558-Proportional Hazards Models, pubmed-meshheading:19828558-Regression Analysis, pubmed-meshheading:19828558-Statistical Distributions, pubmed-meshheading:19828558-Stochastic Processes, pubmed-meshheading:19828558-Survival Analysis, pubmed-meshheading:19828558-Ulcer
pubmed:year
2010
pubmed:articleTitle
Bayesian random-effects threshold regression with application to survival data with nonproportional hazards.
pubmed:affiliation
Division of Biostatistics, College of Public Health, The Ohio State University, 320 West 10th Avenue, Columbus, OH 43210, USA. mpennell@cph.osu.edu
pubmed:publicationType
Journal Article, Research Support, U.S. Gov't, P.H.S., Research Support, Non-U.S. Gov't