"Repeated Measurement Designs: Multiple Objectives, Response adaptive, and cost effective considerations"

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My research program focuses on design and analysis issues that arise in the use of repeated measurement designs in the presence of treatment effects. Here, the term "treatment" refers to any new policies, tools, and interventions in science and engineering applications, as well as drugs and medications in medical applications. The short-term objective is to construct optimal repeated measurement designs under much more general models than those constructed in previous studies in an effort to keep them robust. The long-term objective is to provide unified guidelines for optimal repeated measures experiments. The specific proposed projects are: [1] Constrained optimal repeated measurement designs [2] Response adaptive repeated measurement designs for discrete outcomes [3] Designs for N of 1 Trials and comparative investigations My research would unify available results and attain some degree of robustness that makes possible ready reconstruction of optimal designs, as experimental conditions change. My research in progress confirms that constructing such a unifying design is definitely feasible. As these issues are driven by needs in practice, my research is expected to make a significant contribution to the literature. The theoretical techniques that I develop would provide practical guidelines for applied investigators as well