breslow estimator for cumulative hazard function

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breslow estimator for cumulative hazard function

singyee ling
Dear R-users,

I  am checking the proportional hazard assumption of a cox model  for a
given covariate, let say Z1, after adjusting for other relavent covariates
in the model. To this end, I fitted cox model stratified on the discrete
values of Z1 and try to get beslow estimator for the baseline cumulative
hazard function (H(t)) in each stratum. As far as i know, if the
proportionality assumption holds,  the  plot of ln[H(t)] of each stratum
versus time should be approximately parallel.

i.e
fit<-coxph(Surv(start,end,status)~sx+rated+AGLEVEL+strata(Z1),data=ALLDPinfectionandbronchitis)
ss<-survfit(fit)
plot(ss,fun="cumhaz")

My question is on whether the cumulative hazard given by the above command
is actually a breslow estimator for baseline cumulative hazard ,i.e,
estimator=sum(  number of death/ (sum(risk score in risk set))   or  a
nelson-Aalen estimator. if the above command does not give me breslow
estimator, please advise on how I can get it.

Thanks for any help given.

kind regards,
sing yee

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Re: breslow estimator for cumulative hazard function

Christos Hatzis-2
The function 'basehaz' computes the predicted survivor function for a Cox
prop hazards model centered (at the average values of the covariates) or
non-centered (at zero level of covariates).

As far as the estimator used, basehaz defaults to the Nelson-Aalen estimate
of the cumulative hazard with a Breslow-type estimate of survival.
Alternatively, a K-M estimator for the cumulative hazard can be selected.

See ?basehaz for details.

In your example, you could do something like this:

bh <- basehaz(fit, centered=TRUE)
require("lattice")
xyplot(hazard ~ time | strata, data=ALLDPinfectionandbronchitis)


-Christos

Christos Hatzis, Ph.D.
Vice President, Technology
Nuvera Biosciences, Inc.
400 West Cummings Park
Suite 5350
Woburn, MA 01801
Tel: 781-938-3830
www.nuverabio.com
 


-----Original Message-----
From: [hidden email]
[mailto:[hidden email]] On Behalf Of singyee ling
Sent: Tuesday, March 07, 2006 9:18 AM
To: [hidden email]
Subject: [R] breslow estimator for cumulative hazard function

Dear R-users,

I  am checking the proportional hazard assumption of a cox model  for a
given covariate, let say Z1, after adjusting for other relavent covariates
in the model. To this end, I fitted cox model stratified on the discrete
values of Z1 and try to get beslow estimator for the baseline cumulative
hazard function (H(t)) in each stratum. As far as i know, if the
proportionality assumption holds,  the  plot of ln[H(t)] of each stratum
versus time should be approximately parallel.

i.e
fit<-coxph(Surv(start,end,status)~sx+rated+AGLEVEL+strata(Z1),data=ALLDPinfe
ctionandbronchitis)
ss<-survfit(fit)
plot(ss,fun="cumhaz")

My question is on whether the cumulative hazard given by the above command
is actually a breslow estimator for baseline cumulative hazard ,i.e,
estimator=sum(  number of death/ (sum(risk score in risk set))   or  a
nelson-Aalen estimator. if the above command does not give me breslow
estimator, please advise on how I can get it.

Thanks for any help given.

kind regards,
sing yee

        [[alternative HTML version deleted]]

______________________________________________
[hidden email] mailing list
https://stat.ethz.ch/mailman/listinfo/r-help
PLEASE do read the posting guide!
http://www.R-project.org/posting-guide.html

______________________________________________
[hidden email] mailing list
https://stat.ethz.ch/mailman/listinfo/r-help
PLEASE do read the posting guide! http://www.R-project.org/posting-guide.html