Re: NONMEM
From: Timothy H Waterhouse WATERHOUSE_TIMOTHY_H@Lilly.com
Subject: Re: [NMusers] NONMEM
Date: Fri, 15 Sep 2006 12:04:57 -0400
Hi all,
While it's true, as far as I know, that "existing methods" (meaning
software such as POPT, PFIM etc) don't allow for optimal design for precise
estimation of other statistics, I think this is a relatively simple problem
to address. If the feature of interest (such as AUC or tmax) can be
written as a function of your PK parameters, a c-optimal design will give
you precise estimates of this feature, and can be obtained using a function
of the FIM.
The problem with c-optimal designs is that they often give you a singular
FIM, meaning they have zero efficiency for parameter estimation. This was
actually addressed in a talk by Anthony Atkinson at the DEMA conference in
Southampton last weekend. He used a combination of the "c" and "D"
criteria to find designs which are efficient for both, using a simple PK
model as an example. His methods were for fixed effects models, but I
think they will extend to mixed effects models using the usual approximate
information matrix.
If you want to design for maximum power, minimum bias, etc, the information
matrix may not be quite as helpful...
Tim