• Adaptive optimal design with application to a two drug combination trial based on efficiency-toxicity response 

    Yao, Ping, Ph. D. (University of Missouri--Columbia, 2009)
    [ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT REQUEST OF AUTHOR.] The first part of this dissertation develops an adaptive optimal design for dose-finding with combination therapies that accounts for both efficacy ...
  • A ballooned beta-logistic model 

    Yi, Min (University of Missouri--Columbia, 2015)
    The beta distribution is a simple and flexible model in which responses are naturally confined to the finite interval (0,1). Its parameters can be related to covariates such as dose and gender through a regression model. ...
  • Design and analysis of a new bounded log-linear regression model 

    Wang, HaiYing, 1980- (University of Missouri--Columbia, 2013)
    This dissertation introduces a new regression model in which the response variable is bounded by two unknown parameters. A special case is a bounded alternative to the four parameter logistic model which is also called the ...
  • Optimal designs for dose-finding in contingent response models 

    Rabie, Huwaida, 1958- (University of Missouri--Columbia, 2004)
    We study D- and c-optimal designs for dose-finding with opposing failure functions. In particular, we study the contingent response models of Li, Durham and Flournoy (1995). In the contingent response model, there are two ...
  • Optimal designs for response functions with a downturn 

    Hyun, Seung Won, 1980- (University of Missouri--Columbia, 2010)
    [ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT REQUEST OF AUTHOR.] In many toxicological assays, interactions between primary and secondary effects may cause a downturn in mean responses at high doses. In this situation, ...
  • Optimal experimental design under a new multivariate Weibull regression function 

    Kim, Sungwook, 1980- ([University of Missouri--Columbia], 2014)
    In the manufacturing industry, it may be important to study the relationship between machine component failures under stress. Examples include failures such as integrated circuits and memory chips in electronic merchandise ...
  • Two stage adaptive optimal design with applications to dose-finding clinical trials 

    Lane, Adam (Statistician) (University of Missouri--Columbia, 2013)
    In adaptive optimal designs, each stage uses an estimate of the locally optimal design derived using cumulative data from all prior stages. This dependency on prior stages a ffects the properties of maximum likelihood ...