Optimal designs for dose-response models with restricted design spaces

Holger Dette, Stefanie Biedermann and Wei Zhu

No 2004,40, Technical Reports from Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen

Abstract: In dose response studies, the dose range is often restricted due to concerns over drug toxicity and/or efficacy. We present restricted and unrestricted interval locally optimal designs with respect to a very general class of optimality criteria for estimating the underlying dose response curve. The underlying curve belongs to a diversified set of link functions suitable for the dose response studies and having a common canonical form. These include the fundamental binary response models – the logit and the probit as well as the skewed versions of these models. The results are illustrated through the re-design of a dose ranging trial conducted at the Merck Research Laboratories (Zeng and Zhu, 1997). This work is a generalization of the results of Dai and Zhu (2002) in terms of the design interval, the underlying dose response curve and the optimality criterion.

Keywords: Binary response model; Dose ranging; Dose response; Link function; General Equivalence Theorem; Locally compound optimal design (search for similar items in EconPapers)
Date: 2004
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Citations: View citations in EconPapers (1)

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