RE: OMEGA - CORR MATRIX FOR RANDOM EFFECTS - ETAS
Hi Sven, Jules,
Nonmem 7.3 beta allows you to code the off-diagonal elements by correlation
rather than covariance in $OMEGA, from its help:
[
CORRELATON indicates that all initial estmates given for off-
diagonal elements are understood to be initial estimates of cor-
relations of etas.
]
This will be an improvement in developing full omega blocks, assuming this
functionality makes it into the actual release.
Best regards,
Jeroen
J. Elassaiss-Schaap Senior Principal
Scientist Phone: + 31 412 66 9320
MSD | PK, PD and Drug Metabolism | Clinical PK-PD Mail stop KR
4406 | PO Box 20, 5340 BH Oss, NL
Quoted reply history
From: [email protected] [mailto:[email protected]] On
Behalf Of Sven Mensing
Sent: Tuesday, September 17, 2013 13:44
To: Jules Heuberger
Cc: [email protected]
Subject: Re: [NMusers] OMEGA - CORR MATRIX FOR RANDOM EFFECTS - ETAS
Hi Jules,
it seems that your two ETAs are heavily correlated (1.00) and this causes
problems for NONMEM. Next to evaluating if you really need two destinct ETAs or
should use just one as in e.g.
E0= THETA(1)*EXP(ETA(1))
EMAX = E0+THETA(2)
I would suggest to re-code your Emax and E0 in logit space if you are trying to
model a DV that is between 0 and 1.
E0 = EXP(THETA(1) + ETA(1))/(1+EXP(THETA(1)+ETA(1))
EMAX =
EXP(THETA(1)+THETA(2)+ETA(1)+ETA(2))/(1+EXP(THETA(1)+THETA(2)+ETA(1)+ETA(2)))
again check if ETA(2) (or ETA(1)) is really necessary. THETA(2) should be
positive in all examples.
Kind Regards
Sven Mensing
2013/9/17 Jules Heuberger <[email protected]<mailto:[email protected]>>
Dear NM Users,
I ran into a problem with a NM 7.2 run with an OMEGA BLOCK (2), receiving an
error message saying the parameter estimate is near its boundary (See also the
discussion in [NMusers] How to solve it? ERROR: PARAMETER ESTIMATE IS NEAR ITS
BOUNDARY ). After digging through the documentation I am still unsure where the
problem is originating from. What I figured out is that the problem lies in the
OMEGA - CORR MATRIX FOR RANDOM EFFECTS - ETAS *******, a matrix I believe is
only introduced since NM7.2. The estimate in this matrix that is giving
problems is the one for the OMEGA BLOCK, which is estimated to be 1 (a
boundary).
Now, as far as I know, the OMEGA - CORR MATRIX is related to the OMEGA - COV
MATRIX as the sqrt of its estimate. However, it is unclear to me how the OMEGA
BLOCK estimate (COV MATRIX), which gives the correlation between the two ETAs,
is related to the OMEGA - CORR MATRIX value. What does this value actually
mean, and what does it mean for my error message, as the correlation estimate
itself seems to be fine? In the print below you can see the model and resulting
estimates, the important ones being 5.26E-02 (OMEGA - COV MATRIX of ETA1-ETA2)
and 1.00E+00 (OMEGA - CORR MATRIX of ETA1-ETA2). The model has two ETAs and an
proportional error model,
Thanks in advance for any insights and help,
Best,
Jules Heuberger
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