Optimal designs for estimating critical effective dose under model uncertainty in a dose response study
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Date
2009-05-11T12:06:19Z
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Abstract
Toxicologists have been increasingly using a class of models to describe a
continuous response in the last few years. This class consists of nested nonlinear
models and is used for estimating various parameters in the models or some meaningful
function of the model parameters. Our work here is the first to address
design issues for this popular class of models among toxicologists. Specifically
we construct a variety of optimal designs under model uncertainty and study
their properties for estimating the critical effective dose (CED), which is model
dependent. Two types of optimal designs are proposed: one type maximizes
the minimum of efficiencies for estimating the CED regardless which member in
the class of models is the appropriate model, and (ii) dual-objectives optimal
design that simultaneously selects the most appropriate model and provide the
best estimates for CED at the same time. We compare relative efficiencies of
these optimal designs and other commonly used designs for estimating CED. To
facilitate use of these designs, we have constructed a website that practitioners
can generate tailor-made designs for their settings.
Description
Das Paper wurde doppelt als Technical report mit der Zählung 2009,7 und 2009,9 eingereicht. Das aktuellere Datum mit der Zählung 2009,9 ist gültig. Die Zählung 2009,7 ist nicht mehr existent.
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Keywords
compound optimal design, critical effect size, local optimal design, maximin optimal design, model discrimination, robust design