The Annals of Statistics

Locally D-optimal designs based on a class of composed models resulted from blending Emax and one-compartment models

X. Fang and A. S. Hedayat

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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.

Article information

Source
Ann. Statist., Volume 36, Number 1 (2008), 428-444.

Dates
First available in Project Euclid: 1 February 2008

Permanent link to this document
https://projecteuclid.org/euclid.aos/1201877308

Digital Object Identifier
doi:10.1214/009053607000000776

Mathematical Reviews number (MathSciNet)
MR2387978

Zentralblatt MATH identifier
1132.62056

Subjects
Primary: 62K05: Optimal designs

Keywords
D-optimal design pharmacokinetic compartmental model pharmacodynamic Emax model nonlinear model

Citation

Fang, X.; Hedayat, A. S. Locally D-optimal designs based on a class of composed models resulted from blending Emax and one-compartment models. Ann. Statist. 36 (2008), no. 1, 428--444. doi:10.1214/009053607000000776. https://projecteuclid.org/euclid.aos/1201877308


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