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Design of Experiments and Sample Surveys
University of Nebraska - Lincoln
Department of Statistics: Dissertations, Theses, and Student Work
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Full-Text Articles in Physical Sciences and Mathematics
Optimal Design For A Causal Structure, Zaher Kmail
Optimal Design For A Causal Structure, Zaher Kmail
Department of Statistics: Dissertations, Theses, and Student Work
Linear models and mixed models are important statistical tools. But in many natural phenomena, there is more than one endogenous variable involved and these variables are related in a sophisticated way. Structural Equation Modeling (SEM) is often used to model the complex relationships between the endogenous and exogenous variables. It was first implemented in research to estimate the strength and direction of direct and indirect effects among variables and to measure the relative magnitude of each causal factor.
Historically, traditional optimal design theory focuses on univariate linear, nonlinear, and mixed models. There is no current literature on the subject of …
Simulations Of A New Response-Adaptive Biased Coin Design, Aleksandra Stein
Simulations Of A New Response-Adaptive Biased Coin Design, Aleksandra Stein
Department of Statistics: Dissertations, Theses, and Student Work
Modern medical experiments accrue and treat patients--hence obtain treatment response data--throughout a trial. Designs which prospectively plan to modify patient allocation by leveraging accumulating data are response-adaptive randomization (RAR) designs. Many such designs attempt to balance the desire to bias assignment proportions towards a treatment which is performing better against the need to maintain randomization in the face of continued equipoise.
This dissertation consists of simulated investigations into frequentist and ethical properties of an new RAR biased coin design. Chapter 2 proposes a new adaptive design for phase III clinical trials, a modification of the 2001 Bandyopadhyay and Biswas biased …