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dc.contributor.authorDette, Holgeren_US
dc.contributor.authorPepelyshev, Andreyen_US
dc.contributor.authorShpilev, Piteren_US
dc.contributor.authorWong, Weng Keeen_US
dc.description.abstractToxicologists 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.en_US
dc.publisher|aUniv., SFB 475|cDortmunden_US
dc.relation.ispartofseries|aTechnical Report // Sonderforschungsbereich 475, Komplexitätsreduktion in Multivariaten Datenstrukturen, Universität Dortmund|x2009,07en_US
dc.subject.keywordcompound optimal designen_US
dc.subject.keywordcritical effect sizeen_US
dc.subject.keywordlocal optimal designen_US
dc.subject.keywordmaximin optimal designen_US
dc.subject.keywordmodel discriminationen_US
dc.subject.keywordrobust designen_US
dc.titleOptimal designs for estimating critical effective dose under model uncertainty in a dose response studyen_US
dc.type|aWorking Paperen_US

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