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Re: Subject: Re: st: Survival function of regression Cox model postestimation


From   petretta@unina.it
To   statalist@hsphsun2.harvard.edu
Subject   Re: Subject: Re: st: Survival function of regression Cox model postestimation
Date   Tue, 12 Jul 2011 19:28:54 +0200

Yes, this helps. Many many thanks.

--- On Fri, Jul 8, 2011 at 8:13 PM,  Mario Petretta wrote:

I know that the baseline survival function of the Cox model without
covariates is the same as the Kaplan Meier survival function.
However, it is unclear for me why the survival function of a Cox model with
covariates obtained at the mean values of the covariates is different from
baseline survival function of the Cox model without covariates.

--- Maarten Buis answered

Because the relationship between the covariates and the survivor
function is a non-linear one. Remember that applying a non-linear
transformation to a variable x and than compute the mean is not the
same as computing the mean of variable x and than apply that
non-linear transformation.

--- On Tue, Jul 12, 2011 at 6:40 PM, Mario Petretta wrote me privately:

Anyway, there is a rule for applying a non-linear transformation to a
continuous covariate in order to obtain a survival function of a Cox model
with that covariate obtained at its mean value not different from
baseline survival function of the Cox model without covariates?

It is better to respond to the Statalist and not privately because if
you find my answer unclear, chances are that other people following
this thread may also find it unclear.

No, Cox regression has a baseline hazard function not a baseline
survival function, and the baseline hazard function is the hazards at
different points in time when all explanatory/independent/x-variables
are 0 not fixed at the mean.

Hope this helps,
Maarten

--------------------------
Maarten L. Buis
Institut fuer Soziologie
Universitaet Tuebingen
Wilhelmstrasse 36
72074 Tuebingen
Germany

http://www.maartenbuis.nl

Mario Petretta
Dipartimento di Medicina Clinica Scienze Cardiovascolari e Immunologiche
Facoltà di Medicina e Chirurgia
Università di Napoli Federico II
081 - 7462233


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