Bevanda, MirjanaBretz, FrankDette, HolgerKiss, Christine2009-10-292009-10-292009-07-15http://hdl.handle.net/2003/2648910.17877/DE290R-713In 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.enDiscussion Paper / SFB 823; 15/2009Chebyshev systemD-optimalitydose findingdose responseED_p-optimalityElfving's Theoremoptimal design310330620report