RE: covariate selection question
From: Mats Karlsson" mats.karlsson@farmbio.uu.se
Subject: RE: [NMusers] covariate selection question
Date: 18-Jan-2006 04:21
Hi Mark,
Some loose thoughts.
Stepwise doesn't equal subjective. Often the stepwise covariate modeling is the
least subjective in the entire stepwise procedure of building a population model.
It is generally clearer outlined in analysis plans than the stepwise building of
the structural or stochastic parts of the model.
We know that stepwise model selection has problems, but most of the criticism seems
to be focusing on the covariate sub-model. The reason for that may be that none of
us would take the time and effort to try a structural or stochastic model that didn't
make biological sense. However for covariate model building we do try models that
don't make biological sense to everyone. The reason being: (i) it is easier to try
too many relations than too few (given that opinions about "biological sense" varies),
and/or (ii) it is perceived that regulatory authorities want to have information even
about relations that don't make sense (to e.g. to confirm expected non-interactions).
I like your point about penalizing decisions based on prior belief. The point that
"making subjective decisions during an analysis really violates principles of data
analysis" is relevant for confirmatory analyses, but most of the time when we apply
biologically rational models we are in learning mode and not making subjective (or
data-driven) model building decisions would make the analyses rather useless.
The article by Wade et al that you reference, concern mostly the fact that if you get
the structural model wrong, other parts of the model can become wrong too (like the
covariate model). One would expect that this works the other way around too: If you
get your covariate model wrong, the structural model may get wrong too. Similar
interactions are likely to occur between other model parts too.
Regarding your last comment "step wise searches will never give you the correct answer":
(i) the alternative to stepwise searches is to postulate a model before looking at the data - generally not a good idea
(ii) no model building procedure will give us the correct answer...
I think we all agree that improved model building procedures are valuable, but
maybe the part that least needs new methods is the covariate model, we need much
more guidance on how to build good structural models.
Best regards,
Mats
--
Mats Karlsson, PhD
Professor of Pharmacometrics
Div. of Pharmacokinetics and Drug Therapy
Dept. of Pharmaceutical Biosciences
Faculty of Pharmacy
Uppsala University
Box 591
SE-751 24 Uppsala
Sweden
phone +46 18 471 4105
fax +46 18 471 4003
mats.karlsson@farmbio.uu.se