Synthetic Data Sharing and Estimation of Viable Dynamic Treatment Regimes with Observational Data by Nina Zhou A dissertation submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy (Biostatistics) in The University of Michigan 2021 Doctoral Committee: Professor Ivo D. Dinov, Co-Chair Professor Lu Wang, Co-Chair Research Associate Professor Daniel Almirall Assistant Professor Zhenke Wu Professor Chuanwu Xi Nina Zhou
[email protected] ORCID iD: 0000-0002-1649-3458 c Nina Zhou 2021 ACKNOWLEDGEMENTS Firstly, I would like to express my sincere gratitude to my advisors Dr. Lu Wang and Dr. Ivo Dinov for their continuous support of my Ph.D. study and related research, for their patience, motivation, and immense knowledge. Their guidance helped me in all the time of research and writing of this thesis. Besides my advisors, I am grateful to the the rest of my thesis committee: Dr. Zhenke Wu, Dr. Daniel Almirall and Dr.Chuanwu Xi for their insightful comments and encouragements, but also for the hard question which incented me to widen my research from various perspectives. I would like to thank my fellow doctoral students for their feedback, cooperation and of course friendship. In addition, I would like to express my gratitude to Dr. Kristen Herold for proofreading all my writings. Last but not the least, I would like to thank my family: my parents and grand parents for supporting me spiritually throughout writing this thesis and my life in general. ii TABLE OF CONTENTS ACKNOWLEDGEMENTS :::::::::::::::::::::::::: ii LIST OF FIGURES ::::::::::::::::::::::::::::::: vi LIST OF TABLES :::::::::::::::::::::::::::::::: viii LIST OF ALGORITHMS ::::::::::::::::::::::::::: x ABSTRACT ::::::::::::::::::::::::::::::::::: xi CHAPTER I.