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

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.


Department of Mathematical Sciences

Committee Chair

Arpita Chatterjee

Committee Member 1

Stephen Carden

Committee Member 2

Divine Wanduku

Committee Member 3

Kyle Bradford

Committee Member 3 Email



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.

Research Data and Supplementary Material


Latex_file.zip (198 kB)