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).


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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
Digital Object Identifier (DOI): doi:10.1198/016214503000000585
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
Organisations: Statistics
ePrint ID: 41819
Date :
Date Event
November 2003Published
Date Deposited: 05 Oct 2006
Last Modified: 16 Apr 2017 18:58
Further Information:Google Scholar

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