A Practical Extension to the AB/BA Design

<p>In this work, we take a close look at a general extension to the traditional AB/BA<br />crossover design that is commonly used in clinical trials to determine the effectiveness<br />of new candidate drugs. While the traditional crossover design requires each patient<br />in the study to be measured on both treatment A and treatment B, we consider the<br />possibility of additional measurements being available on each patient. This produces<br />designs such as the AABB/BBAA design which has been used in previous studies.<br />A general test statistic will be derived to test for treatment effects as well as its<br />corresponding power function to aid in sample size determination to aid statistical<br />planning. Lastly, we explore the theoretical power of our testing procedure and<br />compare it to simulated power studies to verify how well sample size determinations<br />will work in practice.</p>

Name thesis:degree_name

Master of Science - Mathematical Sciences

Level thesis:degree_level

Thesis

Discipline thesis:degree_discipline

College of Science and Mathematics

Year dc:date.available

2021

Author dc:creator

• Nguyen, My T.A

Contributors dc:contributor

• Jacob Turner
• Jeremy Becnel
• Kent Riggs

• Extension Cross-over Design
• Applied Mathematics
• Mathematics

Repository record dc:identifier

https://scholarworks.sfasu.edu/etds/424

OAI identifier oai:identifier

oai:scholarworks.sfasu.edu:etds-1455