Authors: | Bevanda, Mirjana Bretz, Frank Dette, Holger Kiss, Christine |
Title: | Optimal designs for the EMAX, log-linear and exponential model |
Language (ISO): | en |
Abstract: | In this paper we derive locally D- and ED_p-optimal designs for the exponential, log-linear and three parameter EMAX-model. We show that for each model the locally D- and ED_p-optimal designs are supported at the same set of points, while the corresponding weights are different. This indicates that for a given model, D-optimal designs are efficient for estimating the smallest dose which achieves 100p% of the maximum effect in the observed dose range. Conversely, ED_p-optimal designs also yield good D-efficiencies. We illustrate the results using several examples and demonstrate that locally D- and ED_p-optimal designs for the EMAX-, log-linear and exponential model are relatively robust with respect to misspecification of the model parameters. |
Subject Headings: | Chebyshev system D-optimality dose finding dose response ED_p-optimality Elfving's Theorem optimal design |
URI: | http://hdl.handle.net/2003/26489 http://dx.doi.org/10.17877/DE290R-713 |
Issue Date: | 2009-07-15 |
Appears in Collections: | Sonderforschungsbereich (SFB) 823 |
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