RE: Meta-analysis with Nonmem
Dear Andreas,
Your interpretation is the same as mine (correct or not). My guessing is that
you are actually never all that interested in precisely estimating BSV in this
type of analysis. The approach nevertheless has advantages in assessing the
overall between subject variability and average response. One advantage is that
you could also include measurements of average response where the SD is
unknown.
One thing worth considering will be if it is geometric means or arithmetic
means that you are dealing with. The example in Elodies example assumes
arithmetic means but geometric means could easily be handled with Y = AV *
EXP(SEAV*EPS(1)).
Best regards,
Martin Bergstrand, MSc, PhD student
-----------------------------------------------
Pharmacometrics Research Group,
Department of Pharmaceutical Biosciences,
Uppsala University
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<mailto:[email protected]> [email protected]
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Work: +46 18 471 4639
Mobile: +46 709 994 396
Quoted reply history
From: [email protected] [mailto:[email protected]] On
Behalf Of [email protected]
Sent: den 4 mars 2010 16:21
To: Elodie Plan
Cc: [email protected]
Subject: RE: [NMusers] Meta-analysis with Nonmem
Hi Elodie, Martin and Mats,
Thanks for your suggestion, a very interesting approach. So, THETA1 would give
me an estimate of the global between patient variability, expressed as SD,
across all studies and OMEGA1 would be an estimate of the between study
variability (BSV) of this SD. OMEGA2 would be the BSV of the average response.
Is this interpretation correct? I suppose the number of studies has to be quite
large to get precise estimates of the BSV.
Best regards, Andreas.
Ferrer
Andreas Lindauer
Pharmacokineticist
Pharmacokinetics and Metabolism
R&D Center. Ferrer Internacional S.A.
Juan de Sada 32, 08028 Barcelona
[email protected]
www.ferrergrupo.com
Recicla
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"Elodie Plan" <[email protected]>
04/03/2010 14:33
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Asunto
RE: [NMusers] Meta-analysis with Nonmem
Dear Andreas,
An approach you may consider is to model both the standard deviation and the
average as dependent variables:
SD=THETA(1)*EXP(ETA(1))
AV=(THETA(2)+DOSE*THETA(3))*EXP(ETA(2))
SESD=SD/(2*(N-1)**.5)
SEAV=SD/N**.5
IF(FLAG.EQ.0) THEN
Y = SD+SESD*EPS(1)
ELSE
Y = AV+SEAV*EPS(1)
ENDIF
$SIGMA 1 FIX
Your dataset would treat study as individuals, include N the number of
individuals in the study arm and incorporate a flag, so would look like:
STUD=ID DV N FLAG DOSE
1 SD1 N1 0 D1
1 AV1 N1 1 D1
1 SD2 N2 0 D2
1 AV2 N2 1 D2
…
Note: this is only valid when there was only 1 endpoint per subject.
Hope this helps.
Best regards,
Elodie, Martin and Mats
Elodie L. Plan, PharmD, MSc, PhD student
********************************************
Uppsala Pharmacometrics Research Group,
Department of Pharmaceutical Biosciences,
P.O. Box 591, SE-751 24 Uppsala, SWEDEN
Office +46 18-471 4385, Fax +46 18-471 4003
From: [email protected] [mailto:[email protected]] On
Behalf Of [email protected]
Sent: Friday, February 26, 2010 10:26 AM
To: [email protected]
Subject: Re: [NMusers] Meta-analysis with Nonmem
Thank you Leonid and Dirk for your replies. They were very helpful.
Leonid, what would you think about the following:
Y=IPRED+SE*EPS(1)+ETA(1)
With SIGMA fixed to 1 and OMEGA being the inter-study standard-deviation? What
would be the interpretation of SIGMA if it were not fixed to 1?
You wrote:
>>Y=IPRED+SE*EXP(ETA(1))*EPS(1)), etc.
Wouldn't this be somehow transformed by NONMEM because of the linearization
process? Similarly to why we cannot use the exponential residual error model
directly in NONMEM, but have to do the transform-both-sides approach.
Dirk, good idea. However, estimation of the simulated datasets might become
very time consuming when you combine data from several large studies. And, as
you said:
>> If the number of subjects in a study is small, it might be useful to repeat
>> the simulation and produce different combined datasets.
I would even go further and say, that it is absolutly necessary to repeat the
simulation-reestimation procedure many times in order to get "stable" results.
Best regards, Andreas.
Ferrer
Andreas Lindauer
Pharmacokineticist
Pharmacokinetics and Metabolism
R&D Center. Ferrer Internacional S.A.
Juan de Sada 32, 08028 Barcelona
<mailto:[email protected]> [email protected]
http://www.ferrergrupo.com/ www.ferrergrupo.com
Recicla
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