Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/22599 
Year of Publication: 
2005
Series/Report no.: 
Technical Report No. 2005,08
Publisher: 
Universität Dortmund, Sonderforschungsbereich 475 - Komplexitätsreduktion in Multivariaten Datenstrukturen, Dortmund
Abstract: 
In dose-response studies, the dose range is often restricted due to concerns over drug toxicity and/or efficacy. We derive optimal designs for 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 [Omega]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 [Omega]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 [Omega]p-criteria. The results are illustrated through the re-design of a dose ranging trial.
Subjects: 
Binary response model
Dose ranging
Dose-response
Dual problem
Link function
Locally compound optimal design
Minimum ellipse
Document Type: 
Working Paper

Files in This Item:
File
Size
269.16 kB
709.22 kB





Items in EconStor are protected by copyright, with all rights reserved, unless otherwise indicated.