Message-ID: <41883A7C.2070508@vanderbilt.edu>
Date: 2004-11-03T01:55:08Z
From: Frank E Harrell Jr
Subject: time dependency of Cox regression
In-Reply-To: <20041102234105.21112.qmail@web40827.mail.yahoo.com>
array chip wrote:
> Hi,
>
> How can I specify a Cox proportional hazards model
> with a covariate which i believe its strength on
> survival changes/diminishes with time? The value of
> the covariate was only recorded once at the beginning
> of the study for each individual (e.g. at the
> diagnosis of the disease), so I do not have the time
> course data of the covariate for any given individual.
> For example, I want to state at the end of the
> analysis that the hazard ratio of the covariate is 6
> at the beginning, decrease to 3 after 2 years and
> decrease to 1.5 after 5 years.
>
> Is this co-called time-dependent covariate? I guess
> not, because it's really about the influence of the
> covariate (which was measured once at the beginning)
> on survival changing over time.
>
> Thanks for any input.
You might try a log-normal or log-logistic accelerated failure time
model. These models dictate decreasing hazard ratios over time for
baseline covariates.
--
Frank E Harrell Jr Professor and Chair School of Medicine
Department of Biostatistics Vanderbilt University