Robust and Efficient Designs for the Michaelis-Menten Model


Dette, Holger and Biedermann, Stefanie (2003) Robust and Efficient Designs for the Michaelis-Menten Model. Journal of the American Statistical Association, 98, (463), 679-686. (doi:10.1198/016214503000000585).

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Description/Abstract

For the Michaelis-Menten model, we determine designs that maximize the minimum of the D-efficiencies over a certain interval for the nonlinear parameter. The best two point designs can be found explicitly, and a characterization is given when these designs are optimal within the class of all designs. In most cases of practical interest, the determined designs are highly efficient and robust with respect to misspecification of the nonlinear parameter. The results are illustrated and applied in an example of a hormone receptor assay.

Item Type: Article
ISSNs: 0162-1459 (print)
Related URLs:
Keywords: Michaelis-Menten model, robust optimal design, local D-optimality, receptor assay
Subjects: Q Science > QA Mathematics
H Social Sciences > HA Statistics
Divisions: University Structure - Pre August 2011 > School of Mathematics > Statistics
ePrint ID: 41819
Date Deposited: 05 Oct 2006
Last Modified: 27 Mar 2014 18:26
Contact Email Address: s.biedermann@soton.ac.uk
URI: http://eprints.soton.ac.uk/id/eprint/41819

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