Bayesian Analyses of Mediational Models for Survival Outcome

Bibliographic Details
Main Author: Chen, Chen
Language:English
Published: University of Cincinnati / OhioLINK 2011
Subjects:
Online Access:http://rave.ohiolink.edu/etdc/view?acc_num=ucin1313684054
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spelling ndltd-OhioLink-oai-etd.ohiolink.edu-ucin13136840542021-08-03T06:15:05Z Bayesian Analyses of Mediational Models for Survival Outcome Chen, Chen Mathematics Bayesian Mediation Survival Outcome Incomplete longitudinal This dissertation focuses on Bayesian mediation analysis for survival outcome. It consistsof three parts. The first part of this dissertation is Bayesian semi-parametric mediationanalysis for survival outcome with incomplete mediator. This work extends (Huang et al.,2004) approach to causal mediation analyses, addresses model misspecification problem thatwas inherited in the commonly used method (Lin et al., 1997); in addition, it solves the issuesof missing mediator under the assumption of MCAR or MAR. The second part considers theproblem of assessing mediation effect when both outcome and mediator are censored. Thisproblem is tackled by developing an informative missing data imputation modeling for thecensored mediator, and develop a Markov Chain Monte Carlo algorithm to obtain posteriorestimates. The third part considers longitudinal mediator problem. The previous work(Taylor et al., 1998, 2001) is extended on joint modeling of longitudinal mediator and thesurvival outcome. For the longitudinal modeling of mediator, the proposed model considersfixed effects, random effects, and a specified stochastic process with measurement error usingDirichlet process priors on the coefficient parameters. 2011-09-23 English text University of Cincinnati / OhioLINK http://rave.ohiolink.edu/etdc/view?acc_num=ucin1313684054 http://rave.ohiolink.edu/etdc/view?acc_num=ucin1313684054 unrestricted This thesis or dissertation is protected by copyright: all rights reserved. It may not be copied or redistributed beyond the terms of applicable copyright laws.
collection NDLTD
language English
sources NDLTD
topic Mathematics
Bayesian
Mediation
Survival Outcome
Incomplete
longitudinal
spellingShingle Mathematics
Bayesian
Mediation
Survival Outcome
Incomplete
longitudinal
Chen, Chen
Bayesian Analyses of Mediational Models for Survival Outcome
author Chen, Chen
author_facet Chen, Chen
author_sort Chen, Chen
title Bayesian Analyses of Mediational Models for Survival Outcome
title_short Bayesian Analyses of Mediational Models for Survival Outcome
title_full Bayesian Analyses of Mediational Models for Survival Outcome
title_fullStr Bayesian Analyses of Mediational Models for Survival Outcome
title_full_unstemmed Bayesian Analyses of Mediational Models for Survival Outcome
title_sort bayesian analyses of mediational models for survival outcome
publisher University of Cincinnati / OhioLINK
publishDate 2011
url http://rave.ohiolink.edu/etdc/view?acc_num=ucin1313684054
work_keys_str_mv AT chenchen bayesiananalysesofmediationalmodelsforsurvivaloutcome
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