Dear all,

 

The NONMEM control file of Example 1 in the USERs GUIDE to NONMEM 7.2 pp.
108/128 tells us how to work with priors:

 

; Prior information to the OMEGAS (NETPxNETP of them).

$OMEGA BLOCK(4)

0.2 FIX

0.0 0.2

0.0 0.0 0.2

0.0 0.0 0.0 0.2

; Degrees of freedom to prior OMEGA matrix (1 for each Omega Prior block).

; Because degrees of freedom is very low, equal to the

; the dimension of the prior OMEGA, this means that the prior information to
the OMEGAS is

; highly uninformative

$THETA (4 FIX)

 

This is what I use with NONMEM 7.2

 

; when I follow the instruction and use inverse Wishart to represent the
OMEGA of my previous NONMEM analysis (2500 conc in 200 patients).

$OMEGA BLOCK(2)

0.000135   FIX

0.0000195   0.000640

; I want to make the priors informative and calculated df according to the
proposal by Mats.

$THETA (138 FIX)

 

; when I do not follow the instruction and use simply the covariance matrix
of the previous NONMEM analysis of the large data file:

$OMEGA BLOCK(2)

0.000131   FIX

0.0000191   0.000627

$THETA (138 FIX)

 

There is not really a big difference in my example. 

 

Joachim

 

Joachim Grevel, PhD

Scientific Director

BAST Inc Limited

BioCity Nottingham

Pennyfoot Street

Nottingham, NG1 1GF

Tel: +44 (0)115 8120497

 

 

 

 

From: [email protected] [mailto:[email protected]] On
Behalf Of Stephen Duffull
Sent: 22 February 2012 17:46
To: Mats Karlsson; 'Joachim Grevel'; 'Coen van Hasselt'; 'nmusers'
Subject: RE: [NMusers] OMEGA priors using modes of inverse Wishart matrix

 

Hi

 

An appropriate value for dof of the IW is difficult to determine.  While it
can be set at n-1 from a prior this is somewhat arbitrary.  It is not in
this sense like a t-distn where we calculate dof in this manner.

 

You would have to get a feeling for the degree of spread in your deviates
given your guess at OMEGA(0) and dof.  This can be done by simulation or in
special circumstances by direct calculation.

 

Steve

--

 

 

From: [email protected] [mailto:[email protected]] On
Behalf Of Mats Karlsson
Sent: Thursday, 23 February 2012 3:58 a.m.
To: 'Joachim Grevel'; 'Coen van Hasselt'; 'nmusers'
Subject: RE: [NMusers] OMEGA priors using modes of inverse Wishart matrix

 

Dear Joachim,

 

The IW distribution is not something you get from NONMEM, you have to give
the degrees of freedom of the IW prior distribution. Normally this is at or
below the number of subjects in you previous study depending the information
about the parameter per subject.

 

In addition to User’s Guides, you may find useful info in Gisleskog et al J
Pharmacokinet Pharmacodyn. 2002 Dec;29(5-6):473-505.

 

Best regards,

Mats 

 

Mats Karlsson, PhD

Professor of Pharmacometrics

Dept of Pharmaceutical Biosciences

Faculty of Pharmacy

Uppsala University

Box 591

75124 Uppsala

 

Phone: +46 18 4714105

Fax + 46 18 4714003

 

From: [email protected] [mailto:[email protected]] On
Behalf Of Joachim Grevel
Sent: 22 February 2012 15:24
To: 'Coen van Hasselt'; nmusers
Subject: RE: [NMusers] OMEGA priors using modes of inverse Wishart matrix

 

Dear Coen,

 

There I do have the answer: with MCMC Bayesian in NONMEM 7.1 you have to use
NWPRI according to the guide.

 

Dear Nidal,

 

What I try to do is that: use an existing very well defined popPK model
(2500 conc in 200 patients) to obtain individual PK parameters in only 20
additional patients that have sparse sampling (2 to 4 conc per patient). I
was planning to use informative priors rather than add 80 conc  to a bulk of
2500 conc. What do you think?

 

Thanks to all, specifically Tim!

 

Joachim

 

From: Coen van Hasselt [mailto:[email protected]] 
Sent: 22 February 2012 14:03
To: [email protected]
Subject: Re: [NMusers] OMEGA priors using modes of inverse Wishart matrix

 

Dear Joachim,

I have always wondered about this particular question myself as well..
Thanks for asking at NMusers.

Another thing related to the PRIORs I was wondering about: you can either
use NWPRI (i.e. with the inverse wishart for OMEGA's), or TNPRI, which uses
a multivariate normal for the OMEGA's. Do you have any idea when to use
either of these two possible implementations ?

Thanks,
Coen

>>> "Joachim Grevel" 02/22/12 2:11 PM >>>

Dear NMusers,

Our NONMEM User Guides are full of good advice and they are searchable. Yet
when I tried to find out whether any of the estimation methods could be
enticed to give me the ?inverse Wishart matrix? needed to specify PRIORS for
OMEGAs, I found no help. Leonid G. mentions the inverse Wishart matrix in
his historic contributions to NMusers, but again I could not find out how to
obtain it. If it does not happen in NONMEM, is there a tool in R that can
give me that matrix?

Your help is greatly appreciated,

 

Joachim

 

Joachim Grevel, PhD

Scientific Director

BAST Inc Limited

BioCity Nottingham

Pennyfoot Street

Nottingham, NG1 1GF

Tel: +44 (0)115 8120497

 

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