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Optimal designs for response functions with a downturn
(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, ...
Two stage adaptive optimal design with applications to dose-finding clinical trials
(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 ...
Optimal experimental design under a new multivariate Weibull regression function
(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 ...
Design and analysis of a new bounded log-linear regression model
(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 ...
A ballooned beta-logistic model
(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. ...