Date of Award
12-2021
Degree Type
Thesis
Degree Name
Master of Science - Mathematical Sciences
Department
College of Science and Mathematics
First Advisor
Jacob Turner
Second Advisor
Jeremy Becnel
Third Advisor
Kent Riggs
Fourth Advisor
Robert Henderson
Abstract
In this work, we take a close look at a general extension to the traditional AB/BA
crossover design that is commonly used in clinical trials to determine the effectiveness
of new candidate drugs. While the traditional crossover design requires each patient
in the study to be measured on both treatment A and treatment B, we consider the
possibility of additional measurements being available on each patient. This produces
designs such as the AABB/BBAA design which has been used in previous studies.
A general test statistic will be derived to test for treatment effects as well as its
corresponding power function to aid in sample size determination to aid statistical
planning. Lastly, we explore the theoretical power of our testing procedure and
compare it to simulated power studies to verify how well sample size determinations
will work in practice.
Repository Citation
Nguyen, My T.A, "A Practical Extension to the AB/BA Design" (2021). Electronic Theses and Dissertations. 424.
https://scholarworks.sfasu.edu/etds/424
Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License.
