Full metadata record
DC FieldValueLanguage
dc.contributor.authorBeidermann, Stefaniede
dc.contributor.authorDette, Holgerde
dc.contributor.authorZhu, Weide
dc.date.accessioned2005-03-08T15:23:56Z-
dc.date.available2005-03-08T15:23:56Z-
dc.date.issued2005de
dc.identifier.urihttp://hdl.handle.net/2003/20157-
dc.identifier.urihttp://dx.doi.org/10.17877/DE290R-8049-
dc.description.abstractestimating 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, 62J12en
dc.format.extent288914 bytes-
dc.format.mimetypeapplication/pdf-
dc.language.isoende
dc.publisherUniversität Dortmundde
dc.subjectbinary response modelen
dc.subjectdose rangingen
dc.subjectdose-responseen
dc.subjectdual problemen
dc.subjectlink functionen
dc.subjectlocally compound optimal designen
dc.subjectminimum ellipseen
dc.subject.ddc310de
dc.titleGeometric construction of optimal design for dose-response models with two parametersen
dc.typeTextde
dc.type.publicationtypereporten
dcterms.accessRightsopen access-
Appears in Collections:Sonderforschungsbereich (SFB) 475

Files in This Item:
File Description SizeFormat 
08_05.pdfDNB282.14 kBAdobe PDFView/Open
08_05.ps709.22 kBPostscriptView/Open


This item is protected by original copyright



This item is protected by original copyright rightsstatements.org