Optimal designs for the Michaelis Menten model with correlated observations
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Date
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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Keywords
autoregressive errors, exact designs, locally D-optimal designs, Michaelis Menten model, standardized maximin optimal design