Geometric construction of optimal designs for dose-responsemodels with two parameters

Arbeitspapier

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.

Angaben zum Objekt

• Sprache: Englisch

Verweise und Beziehungen

• Erschienen in: Series: Technical Report ; No. 2005,08

Klassifikation und Themen

• Thema: Binary response model ; Dose ranging ; Dose-response ; Dual problem ; Link function ; Locally compound optimal design ; Minimum ellipse

Beteiligte, Orts- und Zeitangaben

• Ereignis: Geistige Schöpfung
• (wer): Dette, Holger ; Biedermann, Stefanie ; Zhu, Wei
• Ereignis: Veröffentlichung
• (wer): Universität Dortmund, Sonderforschungsbereich 475 - Komplexitätsreduktion in Multivariaten Datenstrukturen
• (wo): Dortmund
• (wann): 2005

Weitere Informationen

• Handle: http://hdl.handle.net/10419/22599
• Letzte Aktualisierung: 10.03.2025, 11:43 MEZ