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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), pp. 679-686. (doi:10.1198/016214503000000585).

Record type: Article

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.

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Published date: November 2003
Keywords: Michaelis-Menten model, robust optimal design, local D-optimality, receptor assay
Organisations: Statistics

Identifiers

Local EPrints ID: 41819
URI: http://eprints.soton.ac.uk/id/eprint/41819
ISSN: 0162-1459
PURE UUID: b6d7f50e-fe38-4a2d-99a8-7c303445f6c6

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Date deposited: 05 Oct 2006
Last modified: 17 Jul 2017 15:27

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Author: Holger Dette

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