Efficient Design of Experiment for Exponential Regression Models
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Date
2004
Journal Title
Journal ISSN
Volume Title
Publisher
Universitätsbibliothek Dortmund
Abstract
In this paper robust and efficient designs are derived for several exponential decay models.
These models are widely used in chemistry, pharmacokinetics or microbiology. We propose
a maximin approach, which determines the optimal design such that a minimum of the
D-efficiencies (taken over a certain range for the nonlinear parameters) becomes maximal.
Analytic solutions are derived if optimization is performed in the class of minimal supported
designs. In general the optimal designs with respect to the maximin criterion have to be
determined numerically and some properties of these designs are also studied.
Description
Table of contents
Keywords
exponential regression model, D-optimal design, robust design, maximin design, pharmacokinetics, microbiology