Term of Award
Summer 2020
Degree Name
Master of Science in Mathematics (M.S.)
Document Type and Release Option
Thesis (restricted to Georgia Southern)
Copyright Statement / License for Reuse
This work is licensed under a Creative Commons Attribution 4.0 License.
Department
Department of Mathematical Sciences
Committee Chair
Arpita Chatterjee
Committee Member 1
Stephen Carden
Committee Member 2
Divine Wanduku
Committee Member 3
Kyle Bradford
Abstract
Non-inferiority (NI) trials have gained popularity within the last decades for comparative effectiveness research. Three-arm NI trials design, whenever feasible, is recommended as both non-inferiority and the assay sensitivity (AS) of the treatment can be directly evaluated within the trial. Relevant historical information about the efficacy of the reference treatment plays a critical role in specifying an acceptable NI margin. The Bayesian approach provides a natural way to incorporate past trial information into the current trial through prior elicitation. In this study, we consider a Bayesian approach to simultaneously test both NI and AS in a three-arm trial with the binary endpoint. We evaluate the performance of the proposed model based on the simulated datasets under varying scenarios.
OCLC Number
1381871375
Catalog Permalink
https://galileo-georgiasouthern.primo.exlibrisgroup.com/permalink/01GALI_GASOUTH/1r4bu70/alma9916559250602950
Recommended Citation
Chen, Lingling, "Impact of Historical Borrowing in Bayesian Non-Inferiority Trial with Binary Data" (2020). Electronic Theses and Dissertations. 2149.
https://digitalcommons.georgiasouthern.edu/etd/2149
Research Data and Supplementary Material
No
