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survival, ties, and frailty advice II

To: S-news <s-news@lists.biostat.wustl.edu>
Subject: survival, ties, and frailty advice II
From: Andrew Beckerman <a.p.beckerman@stir.ac.uk>
Date: Wed, 22 May 2002 17:54:45 +0100
Dear listers-
SPLUS2000R3 + R1.5 WINNT4

This is not yet a summary to my previous post about predicting with a frailty term (to which Geir Egil Eide has commented) and I preface this with the caveat that the question is related to survReg/coxph and frailty, but is not really a mechanics question. Read on if you'd like.

I've asked a variant of this before, but here goes again.

Imagine a data set with 6 hospitals and 50 patients monitored in each hospital. Each hospital was randomly assigned to a 2 treatment x 3 diet factorial design such that each of the 100 patients were receiving the same treatment and diet combination in the hosipital and clearly there is one hospital for each treat*diet combination. Moreover, there is the chance (lets assume) for a significant number of ties.

Would an apporpriate/acceptable model be
survReg(Surv(time,cens)~treat*diet+frailty(hospital)?
or
coxph(Surv(time,cens)~treat*diet+frailty(hospital),method="efron")

In reality, I have a data set with 168 hospital equivalents and from 50-2500 patients/hospital. There are 2x3x2x2x2x4=192 treatment combinations each with a unique number of patients... the treatments, in full factorial, thus exceed the number of "hospitals", meaning that some of the cells in the model are empty (some hospitals, and all of the patients in that hospital, have been lost during the study). Moreover, there are alot of ties within each "hospital".

Philisophically, hospital should be a random or frailty term... but as the number of treatment combinations = or exceeds the number of "hospitals", is it still appropriate? And the ties....

Any advice would be appreciated (including give up ;)
cheers
andrew
----------------------------------------------------------
Dr. Andrew Beckerman
Institute of Biological Science
University of Stirling
Stirling FK9 4LA
+44 (0)1786 then w-467808 f-464994
(APB is not responsible for anything below this)

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