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
dose finding
dose response
Elfving's Theorem
optimal design
Issue Date: 2009-07-15
Appears in Collections:Sonderforschungsbereich (SFB) 823

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