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

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

2008-03-14

arxiv.org/abs/0803.2108v1

Annals of Statistics 2008, Vol. 36, No. 1, 428-444

Statistics

Methodology

Published in at http://dx.doi.org/10.1214/009053607000000776 the Annals of Statistics (http://www.imstat.org/aos/) by the Inst

Scientific paper

10.1214/009053607000000776

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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