RE: BOV
From: Michael.J.Fossler@gsk.com
Subject: RE: [NMusers] BOV
Date: Wed, September 22, 2004 2:53 pm
Hi Yaning;
My comments:
Occasion could be either location or time period.
I don't buy it. Time is Time and location is location - with
the right design you should be able to estimate the contribution
of both to your variance. Also, there are clinically meaningful ways
in which site could affect your results, e.g., they could be excessively
sloppy/skilled at sampling and recording times, they could mis-treat the
samples resulting in some degradation of drug, etc. The point is, the
two effects are distinct.
The hospital/region example is used to simply the problem and explain
a concept. In fact, anything in sequence is confounded with time.
Sure, that's why you randomize to sequence. I still contend in your example
that you are unable to measure the true effect of occasion because it is
perfectly confounded with site (i.e., you can substitute either variable
in the analysis and get the same answer).
Let's use time period as the occasion (e.g. in a crossover experiment). Suppose
the whole experiment is conducted in one hospital and there are 4 periods. Analogous
to my previous example, in the simple scenario(same BOV in all occasions), BOV is just
the within-subject variance across periods.
I agree with this, with the caveat that the design allows you to model occasion distinctly
from some other effect. If you stick with your example, where site 1,2,3,4 is perfectly
correlated with occasion 1,2,3,4 , then I disagree with your interpretation. With your
example, I still maintain that you can't assign that bit of variance as either contribution
due to occasion or by site, since they are perfectly correlated .
In the complex scenario (different BOV in all occasions), the interpretation will be
different. Basically we assume different variance at each period, say, BOV1<BOV2<BOV3<BOV4. What
is the between-occasion here? It is not between period 1, period 2, period 3 and period 4. It is between
period1(in this current experiment) and period1' (if we can repeat the whole crossover experiment)
for BOV1. This second level of between-occasion in this case is nothing but the true measurement
error (replicates within a subject for the same period). Here period 1 in the current experiment
is analogous to the hospital in New York. Period 1 in the current experiment and period1' in a
repeated experiment are two hospitals in New York.
In your design I didn't see any replicates within a subject for the same occasion. It also seem
to me that you are adding additional occasions and sites here (or am I just a dumb pill-counter? :^)).
Anyway, I eagerly await another one of Ken's lucid explainations of this topic...
Mike
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Michael J. Fossler, Pharm. D., Ph. D., F.C.P.
Principal Clinical Pharmacokineticist
Clinical Pharmacokinetics, Modeling & Simulation
GlaxoSmithKline
(610) 270 - 4797
FAX: (610) 270-5598
Cell: (443) 350-1194
Michael_J_Fossler@gsk.com
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