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A Bayesian Subgroup Analysis Using An Additive Model

Xiao, Yang
http://rave.ohiolink.edu/etdc/view?acc_num=ucin1384870215

Abstract Details

2013, PhD, University of Cincinnati, Arts and Sciences: Mathematical Sciences.
In clinical trials, subgroup analysis refers to the experimental design and statistical analysis to investigate the efficacy of a new drug in patient groups defined by baseline characteristics such as age and gender. While it has become a standard to report subgroup efficacy in a clinical trial, many statistical issues such as multiplicity and lack of power have not been well addressed. In this dissertation, we first review the Bayesian approach to subgroup analysis proposed in [18]. We extend this framework using an additive model to allow multiple covariates. Two stepwise algorithms are then proposed for Bayesian model selection. In this Bayesian setting, multiplicity is controlled by choosing prior distributions for the inclusion parameters in the zero-enrich polya urn scheme, and the thresholds for posterior probability ratios in the stepwise procedure. A special case with two covariates each at two levels are fully discussed and studied using simulations. We also extend the additive model by allowing three-way interaction term that represents covariate interaction on subgroup efficacy. We apply the proposed additive model to a read data example from a clincial trial study.
Siva Sivaganesan, Ph.D. (Committee Chair)
James Deddens, Ph.D. (Committee Member)
Seongho Song, Ph.D. (Committee Member)
116 p.
Statistics
Bayesian subgroup analysis; Bayesian model selction; additive model

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Citations

  • Xiao, Y. (2013). A Bayesian Subgroup Analysis Using An Additive Model [Doctoral dissertation, University of Cincinnati]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1384870215

    APA Style (7th edition)

  • Xiao, Yang. A Bayesian Subgroup Analysis Using An Additive Model. 2013. University of Cincinnati, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=ucin1384870215.

    MLA Style (8th edition)

  • Xiao, Yang. "A Bayesian Subgroup Analysis Using An Additive Model." Doctoral dissertation, University of Cincinnati, 2013. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1384870215

    Chicago Manual of Style (17th edition)

ucin1384870215
328
© 2013, all rights reserved.
This open access ETD is published by University of Cincinnati and OhioLINK.