Dette, HolgerKunert, Joachim2012-01-302012-01-302012-01-30http://hdl.handle.net/2003/2929410.17877/DE290R-3372In this paper we investigate the problem of designing experiments for weighted least squares analysis in the Michaelis Menten model. We study the structure of exact D-optimal designs in a model with an autoregressive error structure. Explicit results for locally D-optimal are derived for the case where 2 observations can be taken per subject. Additionally standardized maximin D-optimal designs are obtained in this case. The results illustrate the enormous difficulties to find exact optimal designs explicitly for nonlinear regression models with correlated observations.enDiscussion Paper / SFB 823;04/2012autoregressive errorsexact designslocally D-optimal designsMichaelis Menten modelstandardized maximin optimal design310330620working paper