Authors: Dette, Holger
Kunert, Joachim
Title: Optimal designs for the Michaelis Menten model with correlated observations
Language (ISO): en
Abstract: In 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.
Subject Headings: autoregressive errors
exact designs
locally D-optimal designs
Michaelis Menten model
standardized maximin optimal design
Issue Date: 2012-01-30
Appears in Collections:Sonderforschungsbereich (SFB) 823

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