Re: Probabilistic model
From: "Nick Holford"
Subject: Re: [NMusers] Probabilistic model
Date: Tue, May 17, 2005 7:41 pm
Chuanpu et al,
Thanks for taking the bait :-)
I knew you and your statistical colleagues would take me to task for even thinking
of treating categorical variables as continuous. While I have heard this caution
many times before I have never seen a numerical example which illustrates the
practical consequences given some realistic example.
There are other examples of statistical 'knowledge' that have not been borne out
when examined by experiment (e.g. distribution of delta OBJ under the null,
meaningfulness of getting covariance step to run when assessing parameter
reliability) so I wonder if anyone has done any work with NONMEM in this area?
Many uses of categorical variables in drug development reflect naive attempts by
investigators to capture what is really a continuous scale variable e.g. pain,
neutropenia. IMHO such categorical scales are intepreted by those who look at the
results as if they were indeed a continuous scale variable. It seems quite
reasonable if you have even a 5 point categorical scale to consider this as
continuous. Depending on the a priori knowledge of the system you might choose to
fix the residual error on each category to some reasonable value e.g. a pain score
on a 5 point scale might have a residual SD of 0.5 units (i.e. 3 is usually clearly
different from 2 or 4).
Nick