RE: VPC for non-uniform sampling
Dear Norman, Ayyappa and NMusers,
The situation described by Ayyappa does not necessary call for any out of
the ordinary adjustments of a VPC. Especially so since it is stated that
observations are made at random. If the design in any way was conditioned on
the previous observations on the other hand the situation would be
different. In the case when the design is conditioned on the observations
e.g. TDM studies we have recently demonstrated that prediction corrected
VPCs (pcVPCs) are a better diagnostic than traditional VPCs [1]. The pcVPC
and pvcVPC (prediction and variability corrected VPC) have also been
demonstrated to have advantages in the presence of other influential
independent variables than the one depicted on the x-axis of the VPC
(typically time). It can be worthwhile to once again point out that a VPC
does not necessarily have to have time as the x-variable and DV as the
y-variable. For example in the Ayyappa example time-after-dose might be an
informative alternative as an x-variable and in some cases change from
baseline can be an informative y-variable.
Regarding the questions from Norman Z: Prediction and variability correction
are new functionalities that is included in released versions of PsN. PsN
also includes a lot of options for binning and further development in this
field is on its way. An atomized binning algorithm was recently published by
Lavielle et.al. [2] and implemented in MONOLIX. Atomized binning procedures
will also be included in future PsN releases. Other rather recent
functionalities in PsN with regards to VPCs is the ability to do VPCs for
Kaplan-Meier plots (time-to-event), VPCs functionality for categorical data
and handling of censored observations (BQL, dropout etc). As previously
discussed at PAGE and NMusers Standardized Visual Predictive Check is the
same as NPDEs previously developed by France Mentré.
[1] Bergstrand M, Hooker AC, Wallin JE, Karlsson MO. Prediction-Corrected
Visual Predictive Checks for Diagnosing Nonlinear Mixed-Effects Models. AAPS
J. 2011 Feb 8.
[2] Lavielle M, Bleakley K. Automatic data binning for improved visual
diagnosis of pharmacometric models. J Pharmacokinet Pharmacodyn.
2011;38(6):861-71.
More about the PsN VPC functionalities can be read in this document:
http://psn.sourceforge.net/pdfdocs/npc_vpc_userguide.pdf
Kind regards,
Martin Bergstrand, PhD
Pharmacometrics Research Group
Dept of Pharmaceutical Biosciences
Uppsala University
Sweden
Quoted reply history
From: [email protected] [mailto:[email protected]] On
Behalf Of Norman Z
Sent: Wednesday, January 11, 2012 2:30 AM
To: nmusers
Subject: Re: [NMusers] VPC for non-uniform sampling
It's quite interesting to see the discussions. As pointed out, there have
been a number of publications regarding better ways to do VPC. A follow up
question would be if these methods will be integrated into the PsN, which is
widely used to carry out standard VPC.
Thanks,
Norman
On Tue, Jan 10, 2012 at 6:09 PM, Nick Holford <[email protected]>
wrote:
Simulating the data is only part of a VPC. The other part is describing the
distribution of the actual observations. If data is collected honestly with
actual sampling times then of observation times will be different for every
subject whether or not the protocol also had some random element.
A solution to this is to bin the observed (and simulated) values around some
suitable times e.g. using nominal protocol times or with more complex
algorithms (see Lavielle et al. 2011). Then the distribution of observations
and simulations can be compared at each of those times.
Lavielle M, Bleakley K. Automatic data binning for improved visual diagnosis
of pharmacometric models. J Pharmacokinet Pharmacodyn. 2011;38(6):861-71.
On Tue, Jan 10, 2012 at 4:11 PM, Ayyappa Chaturvedula
<[email protected] <mailto:[email protected]>> wrote:
Dear expert users,
I am working on a dataset where subjects were sampled at different
visits at random. I have developed a model for the data but not
sure how to do a VPC as they do not have the same sampling
scheme. I appreciate some guidance in this.
Regards,
Ayyappa
--
Indrajeet Singh,PhD
Sr. Clinical Pharmacokineticist
Abbott Labs, North Chicago, IL