bias and good fit vs centering

7 messages 4 people Latest: Aug 23, 2005

bias and good fit vs centering

From: Pavel Kovalenko Date: August 19, 2005 technical
From: musor000@optonline.net Subject: [NMusers] bias and good fit vs centering Date: Thu, 18 Aug 2005 20:38:13 -0400 Hello NONMEM Users, We are trying to fit a model which combines 2 studies (IV injection - 1 compartment and SC injection - 2 compartments). We use METHOD=1, POSTHOC, LAPLACIAN). Plots all subjects look very good, but there is a problem. Populations estimates are quite different from the means of individual estimates. For example, population estimate of absorbtion constant (Ka) is 5 times as big as mean of Ka for individuals. It is larger than the largest individual Ka!!! I tried CENTERING option. In this case there is no bias, but fit is much worse (objective function) and plots do not look good. We do not have any confidence in the results. What do we have to use? Population estimates or means of individual estimates? How do experienced and sophisticated NONMEM users deal with issue like that? Thank you, Pavel Kovalenko

RE: bias and good fit vs centering

From: Yaning Wang Date: August 19, 2005 technical
From: "Wang, Yaning" WangYA@cder.fda.gov Subject: RE: [NMusers] bias and good fit vs centering Date: Fri, 19 Aug 2005 09:55:43 -0400 Pavel: If your residual error model is not additive (Y=F+ERR(1)), I would rather use FOCE with interaction (METHOD=1 INT) instead of LAPLACIAN. In the current version of NONMEM (version V), LAPLACIAN ignore the interaction between ETA and EPSILON when it does exit. If you have a model like Y=F(eta)+F(eta)*ERR(1), LAPLACIAN will first simplify the model to Y=F(eta)+F(0)*ERR(1) and then move on. In my opinion, for a linear mixed model with a proportional error model, LAPLACIAN is equal to FO. Despite the better approximation of LAPLACIAN method for the marginal likelihood in general, lack of interaction option for LAPLACIAN may ultimately make LAPLACIAN worse than FOCE with interaction when the residual error model includes an interaction. Yaning Wang, Ph.D. Pharmacometrician Office of Clinical Pharmacology and Biopharmaceutics Center of Drug Research and Evaluation Food and Drug Administration Office: 301-827-9763

bias and goodfit vs centering

From: Mouksassi Mohamad-Samer Date: August 19, 2005 technical
From: "Mouksassi Mohamad-Samer" mohamad-samer.mouksassi@umontreal.ca Subject: [NMusers] bias and goodfit vs centering Date: Fri, 19 Aug 2005 11:01:15 -0400 Pavel, Dr Stuart Beal described a way to use the Laplacian aproximation with interaction in NONMEM V. This can be found at http://www.cognigencorp.com/nonmem/nm/99jul162002.html. I have never tried it so far but maybe some other NONMEM users may have some experience in its application and advantages. MOUKSASSI Mohamad-Samer Pharm.D. tudiant Ph.D. Sciences Parmaceutiques Universit de Montral Facult de Pharmacie Pavillon Jean-Coutu Tel : 343-6111 ext 0388

RE: bias and good fit vs centering

From: Yaning Wang Date: August 19, 2005 technical
From: "Wang, Yaning" WangYA@cder.fda.gov Subject: RE: [NMusers] bias and good fit vs centering Date: Fri, 19 Aug 2005 12:14:38 -0400 Pavel: If "It is larger than the largest individual Ka!!!", that means your histogram of ETA for Ka will be totally on the left side of zero. This is a clear violation of the between-subject variability assumption. Did you try to fit the SC data alone? Yaning

Re: RE: bias and good fit vs centering

From: Pavel Kovalenko Date: August 19, 2005 technical
From: musor000@optonline.net [mailto:musor000@optonline.net] Subject: Re: RE: [NMusers] bias and good fit vs centering Sent: Friday, August 19, 2005 8:57 PM Hello Yaning, You are right. I had to use the interaction option. Also, I used the same "constant CV" error for both studies and different additive erors. It fixed the problem. Thank you, Pavel

RE: bias and good fit vs centering

From: Tom Date: August 22, 2005 technical
From: Tom Subject: RE: [NMusers] bias and good fit vs centering Date: Monday, August 22, 2005 2:29 pm Hi,Pavel: I saw your question on NONMEM user list. Did Dr. Yaning Wang's suggestion (FOCE interaction) fix your problem? I would really appreciate it if you can share the results. Thanks Tom

Re: RE: bias and good fit vs centering

From: Pavel Kovalenko Date: August 23, 2005 technical
From: musor000@optonline.net [mailto:musor000@optonline.net] Subject: Re: RE: [NMusers] bias and good fit vs centering Sent: Tuesday, August 23, 2005 9:06 PM Hello Tom, Yes, it fixed my problem. I used the interaction option and FOCE. Also, I used the same "constant CV" error for both studies but different additive erors, which helped a lot. It did not provide a better fit for individual subjects (the plots looked very similar to the Laplacial plots), but population parameters looked much better. They were centered. Kind regards, Pavel _______________________________________________________