Re: distribution assumption of Eta in NONMEM
For estimation NONMEM estimates one parameter to describe the distribution of random effects -- this is the variance (OMEGA) of the distribution. Thus it makes no explicit assumption that the distribution is normal. AFAIK any distribution has a variance.
For simulation NONMEM assumes all etas are normally distributed. If you use OMEGA BLOCK(*) then the distribution is multivariate with covariances but still normal.
Nick
Ethan Wu wrote:
> I could not find in the NONMEM help guide that explicitly mentioned a normal distribution is assumed, only it was clearly mentioned of assumption of mean of zero.
>
> ------------------------------------------------------------------------
> *From:* Serge Guzy <[email protected]>
> *To:* Ethan Wu <[email protected]>; [email protected]
> *Sent:* Fri, May 28, 2010 1:25:24 PM
> *Subject:* RE: [NMusers] distribution assumption of Eta in NONMEM
>
> As far as I know, this is the assumption in most of the population programs like NONMEM, SADAPT, PDX-MC-PEM and SAEM. Therefore when you simulate, random values from a normal distribution are generated. However, you have the flexibility to use any transformation to create distributions for your model parameters that will depart from pure normality. For example, CL=theta(1)*exp(eta(1)) will generate a log-normal distribution for the clearance although the random deviates are all from the normal distribution.
>
> I am not sure how you can simulate data sets if you are using the non parametric option that is indeed available in NONMEM.
>
> Serge Guzy; Ph.D
>
> President, CEO, POP_PHARM
>
> www.poppharm.com http://www.poppharm.com/
>
> *From:* [email protected] [ mailto: [email protected] ] *On Behalf Of *Ethan Wu
>
> *Sent:* Friday, May 28, 2010 9:08 AM
> *To:* [email protected]
> *Subject:* [NMusers] distribution assumption of Eta in NONMEM
>
> Dear users,
>
> Is it true NONMEM dose not assume Eta a normal distribution?
>
> If it does not, I wonder what distribution it assumes? I guess this is critical when we do simulations.
>
> Thanks
>
> ------------------------------------------------------------------------
>
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--
Nick Holford, Professor Clinical Pharmacology
Dept Pharmacology & Clinical Pharmacology
University of Auckland,85 Park Rd,Private Bag 92019,Auckland,New Zealand
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