Geometric construction of optimal design for dose-response models with two parameters
| dc.contributor.author | Beidermann, Stefanie | de |
| dc.contributor.author | Dette, Holger | de |
| dc.contributor.author | Zhu, Wei | de |
| dc.date.accessioned | 2005-03-08T15:23:56Z | |
| dc.date.available | 2005-03-08T15:23:56Z | |
| dc.date.issued | 2005 | de |
| dc.description.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 | en |
| dc.format.extent | 288914 bytes | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.uri | http://hdl.handle.net/2003/20157 | |
| dc.identifier.uri | http://dx.doi.org/10.17877/DE290R-8049 | |
| dc.language.iso | en | de |
| dc.publisher | Universität Dortmund | de |
| dc.subject | binary response model | en |
| dc.subject | dose ranging | en |
| dc.subject | dose-response | en |
| dc.subject | dual problem | en |
| dc.subject | link function | en |
| dc.subject | locally compound optimal design | en |
| dc.subject | minimum ellipse | en |
| dc.subject.ddc | 310 | de |
| dc.title | Geometric construction of optimal design for dose-response models with two parameters | en |
| dc.type | Text | de |
| dc.type.publicationtype | report | en |
| dcterms.accessRights | open access |