Autor(en): | Beidermann, Stefanie Dette, Holger Zhu, Wei |
Titel: | Geometric construction of optimal design for dose-response models with two parameters |
Sprache (ISO): | en |
Zusammenfassung: | 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 |
Schlagwörter: | 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 |
Erscheinungsdatum: | 2005 |
Provinienz: | Universität Dortmund |
Enthalten in den Sammlungen: | Sonderforschungsbereich (SFB) 475 |
Dateien zu dieser Ressource:
Datei | Beschreibung | Größe | Format | |
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08_05.pdf | DNB | 282.14 kB | Adobe PDF | Öffnen/Anzeigen |
08_05.ps | 709.22 kB | Postscript | Öffnen/Anzeigen |
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