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February 2008 Locally D-optimal designs based on a class of composed models resulted from blending Emax and one-compartment models
X. Fang, A. S. Hedayat
Ann. Statist. 36(1): 428-444 (February 2008). DOI: 10.1214/009053607000000776

Abstract

A class of nonlinear models combining a pharmacokinetic compartmental model and a pharmacodynamic Emax model is introduced. The locally D-optimal (LD) design for a four-parameter composed model is found to be a saturated four-point uniform LD design with the two boundary points of the design space in the LD design support. For a five-parameter composed model, a sufficient condition for the LD design to require the minimum number of sampling time points is derived. Robust LD designs are also investigated for both models. It is found that an LD design with k parameters is equivalent to an LD design with k−1 parameters if the linear parameter in the two composed models is a nuisance parameter. Assorted examples of LD designs are presented.

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X. Fang. A. S. Hedayat. "Locally D-optimal designs based on a class of composed models resulted from blending Emax and one-compartment models." Ann. Statist. 36 (1) 428 - 444, February 2008. https://doi.org/10.1214/009053607000000776

Information

Published: February 2008
First available in Project Euclid: 1 February 2008

zbMATH: 1132.62056
MathSciNet: MR2387978
Digital Object Identifier: 10.1214/009053607000000776

Subjects:
Primary: 62K05

Rights: Copyright © 2008 Institute of Mathematical Statistics

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Vol.36 • No. 1 • February 2008
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