RE: CV for exponential model
From:Matthew Riggs
Subject:RE: [NMusers] CV for exponential model
Date:Wed, 5 Feb 2003 06:19:36 -0800 (PST)
Luciane, As Bill stated, the CV = sqrt(omega(n))*100
for a proportional structure: V= TVV*(1+ETA(n)) and
for an additive structure (V= TVV+ETA(n)), the CV =
sqrt(omega(n))/theta(n)* 100.
And as Yaning stated, the FO method applies a first
order Taylor expansion about an assumed mean eta of
zero; mathematically collapsing the exponential error
form into a proportional form = same calculation for
CV.
However, it's been my impression that when using FOCE
or LAPLACIAN with an exponential structure, the math
does not "collapse" so easily and you need to consider
calculating the CV% = 100*sqrt(exp(omega(n))-1),
particularly with "large" values of omega (e.g.,
>=0.16). It's easy enough to see the deviation you'd
get by using the two methods (proportional vs.
exponential), especially at higher omegas, by
comparing the CV% values across a range of omegas in a
spreadsheet.
This was addressed back in 1997 by Stuart Beal, see:
http://www.cognigencorp.com/nonmem/nm/98sep261997.html
-Matt
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