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Standardized maximin E-optimal designs for Michaelis-Menten model

Dette, Holger, Melas, Viatcheslav B. and Pepelyshev, Andrey 2003. Standardized maximin E-optimal designs for Michaelis-Menten model. Statistica Sinica 13 (4) , pp. 1147-1163.

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Abstract

In the Michaelis-Menten model we determine efficient designs by maximizing a minimum of standardized $E$-efficiencies. It is shown in many cases that optimal designs are supported at only two points and that the support points and corresponding weights can be characterized explicitly. Moreover, a numerical study indicates that two point designs are usually very efficient, even if they are not optimal. Some practical recommendations for the design of experiments in the Michaelis-Menten model are given.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Uncontrolled Keywords: Chebyshev system, $E$-optimal designs, Michaelis-Menten model, minimax-optimality, standardized optimal designs
Publisher: Academia Sinica, Institute of Statistical Science
ISSN: 1017-0405
Related URLs:
Last Modified: 04 Jun 2017 01:41
URI: http://orca.cf.ac.uk/id/eprint/1734

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