Optimal designs for the Michaelis Menten model with correlated observations

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2012-01-30

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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.

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autoregressive errors, exact designs, locally D-optimal designs, Michaelis Menten model, standardized maximin optimal design

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