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Bayesian Analyses of Mediational Models for Survival Outcome

Chen, Chen
http://rave.ohiolink.edu/etdc/view?acc_num=ucin1313684054

Abstract Details

2011, PhD, University of Cincinnati, Arts and Sciences: Mathematical Sciences.
This dissertation focuses on Bayesian mediation analysis for survival outcome. It consists of three parts. The first part of this dissertation is Bayesian semi-parametric mediation analysis for survival outcome with incomplete mediator. This work extends (Huang et al., 2004) approach to causal mediation analyses, addresses model misspecification problem that was inherited in the commonly used method (Lin et al., 1997); in addition, it solves the issues of missing mediator under the assumption of MCAR or MAR. The second part considers the problem of assessing mediation effect when both outcome and mediator are censored. This problem is tackled by developing an informative missing data imputation modeling for the censored mediator, and develop a Markov Chain Monte Carlo algorithm to obtain posterior estimates. The third part considers longitudinal mediator problem. The previous work (Taylor et al., 1998, 2001) is extended on joint modeling of longitudinal mediator and the survival outcome. For the longitudinal modeling of mediator, the proposed model considers fixed effects, random effects, and a specified stochastic process with measurement error using Dirichlet process priors on the coefficient parameters.
Siva Sivaganesan, PhD (Committee Chair)
Bin Huang, PhD (Committee Member)
James Deddens, PhD (Committee Member)
Paul Horn, PhD (Committee Member)
115 p.
Mathematics
Bayesian; Mediation; Survival Outcome; Incomplete; longitudinal

Recommended Citations

Citations

  • Chen, C. (2011). Bayesian Analyses of Mediational Models for Survival Outcome [Doctoral dissertation, University of Cincinnati]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1313684054

    APA Style (7th edition)

  • Chen, Chen. Bayesian Analyses of Mediational Models for Survival Outcome. 2011. University of Cincinnati, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=ucin1313684054.

    MLA Style (8th edition)

  • Chen, Chen. "Bayesian Analyses of Mediational Models for Survival Outcome." Doctoral dissertation, University of Cincinnati, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1313684054

    Chicago Manual of Style (17th edition)

ucin1313684054
501
© 2011, all rights reserved.
This open access ETD is published by University of Cincinnati and OhioLINK.