Standardized maximin E-optimal designs for Michaelis-Menten model

Dette, Holger, Melas, Viatcheslav B. and Pepelyshev, Andrey ORCID: https://orcid.org/0000-0001-5634-5559 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:	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:	Publisher
Last Modified:	17 Oct 2022 08:59
URI:	https://orca.cardiff.ac.uk/id/eprint/1734

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