Authors: Beidermann, Stefanie
Dette, Holger
Zhu, Wei
Title: Geometric construction of optimal design for dose-response models with two parameters
Language (ISO): en
Abstract: estimating the underlying dose-response curve for a restricted or unrestricted dose range with respect to a broad class of optimality criteria. 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. Our methodology is based on a new geometric interpretation of optimal designs with respect to Kiefer’s Φ_p-criteria in regression models with two parameters, which is of independent interest. It provides an intuitive illustration of the number and locations of the support points of Φ_p-optimal designs. Moreover, the geometric results generalize the classical characterization of D-optimal designs by the minimum covering ellipsoid [see Silvey (1972) or Sibson (1972)] to the class of Kiefer’s Φ_p-criteria. The results are illustrated through the re-design of a dose ranging trial. AMS Classification: 62K05, 62J12
Subject Headings: binary response model
dose ranging
dose-response
dual problem
link function
locally compound optimal design
minimum ellipse
URI: http://hdl.handle.net/2003/20157
http://dx.doi.org/10.17877/DE290R-8049
Issue Date: 2005
Publisher: Universität Dortmund
Appears in Collections:Sonderforschungsbereich (SFB) 475

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