{"id":{"repo_id":"sfasu","oai_identifier":"oai:scholarworks.sfasu.edu:etds-1455"},"canonical_url":"https://search.dev.ndltd.org/etd/sfasu/oai:scholarworks.sfasu.edu:etds-1455","repository":{"repo_id":"sfasu","name":"Stephen F. Austin State University","base_url":"https://scholarworks.sfasu.edu/do/oai/"},"display":{"title":"A Practical Extension to the AB/BA Design","abstract":"<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>","abstract_html":"&lt;p&gt;In this work, we take a close look at a general extension to the traditional AB/BA&lt;br /&gt;crossover design that is commonly used in clinical trials to determine the effectiveness&lt;br /&gt;of new candidate drugs. While the traditional crossover design requires each patient&lt;br /&gt;in the study to be measured on both treatment A and treatment B, we consider the&lt;br /&gt;possibility of additional measurements being available on each patient. This produces&lt;br /&gt;designs such as the AABB/BBAA design which has been used in previous studies.&lt;br /&gt;A general test statistic will be derived to test for treatment effects as well as its&lt;br /&gt;corresponding power function to aid in sample size determination to aid statistical&lt;br /&gt;planning. Lastly, we explore the theoretical power of our testing procedure and&lt;br /&gt;compare it to simulated power studies to verify how well sample size determinations&lt;br /&gt;will work in practice.&lt;/p&gt;","abstract_has_math":false,"creators":["Nguyen, My T.A"],"institution":null,"degree_name":"Master of Science - Mathematical Sciences","degree_level":"Thesis","degree_discipline":"College of Science and Mathematics","degree_department":null,"school":null,"contributors":["Jacob Turner","Jeremy Becnel","Kent Riggs"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2021,"date_issued":"2021-12-01T08:00:00Z","date_published":"2021-12-01T08:00:00Z","updated_at":"2026-07-24T04:30:37Z","subjects":["Extension Cross-over Design","Applied Mathematics","Mathematics"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://scholarworks.sfasu.edu/etds/424","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Jacob Turner","Jeremy Becnel","Kent Riggs"]},{"key":"dc:creator","label":"Author","values":["Nguyen, My T.A"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.available","label":"Dc Date Available","values":["2021-12-10T08:00:00Z"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["College of Science and Mathematics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Thesis"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Master of Science - Mathematical Sciences"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Extension Cross-over Design","Applied Mathematics","Mathematics"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://scholarworks.sfasu.edu/etds/424"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["<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>"]},{"key":"dc:title","label":"Title","values":["A Practical Extension to the AB/BA Design"]}]}],"canonical_facts":{"dc:contributor":["Jacob Turner","Jeremy Becnel","Kent Riggs"],"dc:creator":["Nguyen, My T.A"],"dc:date.available":["2021-12-10T08:00:00Z"],"dc:description.abstract":["<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>"],"dc:identifier":["https://scholarworks.sfasu.edu/etds/424"],"dc:subject":["Extension Cross-over Design","Applied Mathematics","Mathematics"],"dc:title":["A Practical Extension to the AB/BA Design"],"thesis:degree_discipline":["College of Science and Mathematics"],"thesis:degree_level":["Thesis"],"thesis:degree_name":["Master of Science - Mathematical Sciences"]},"updated_at":"2026-07-24T04:30:37Z"}