It's not entirely clear from the help pages, but reading Thereau and Gramsch' "Modeling Survival Data" it appears to me that the basehaz function in the survival package returns the estimated baseline _cumulative_ hazard function H(t|mean covariates). Such a function will be monotonic upward. Search on "Nelson-Aalen estimator" for more detail on cumulative hazard functions. The literature on survival analysis seems ambiguous in that sometimes the cumulative hazard function is meant, and sometimes the instantaneous hazard function.

Clarify with your statistician what is needed. I found that a plot which reversed the default plotting arrangement of the basehaz object was more helpful.

with(basehaz.fit, plot(time, hazard, ylab = "Cumulative Hazard | Mean covariates") )

--
David Winsemius



On Mar 14, 2009, at 4:14 AM, Bob Green wrote:


Hello ,

I am hoping for some advice regarding obtaining the values for the hazard function in a cox regression that I have undertaken. I have a model in the following form, analysed with the package survival (v. 2.34-1) and a log-log plot obtained using Design (v. 2.1-2).

For two variables, the lines in the survival curves crossed. The statistician I been obtaining advice from (who does not use R) asked me to obtain the hazard function values. I am wanting to confirm whether basehaz is the correct command to obtain such values, to better understand what is occurring in the log plots.

Below is the code that I have been using. Any assistance is appreciated,

regards

Bob



library(survival)
recidivismv <- read.csv("g://Chapsurv_v.csv",header=T)
cox.V <- coxph(Surv(intDaysUntilFVPO, Event_v) ~ intAgeAtMHCIndex + PRE + group + MHC + strGender, data = recidivismv)
summary (cox.V)


# produces a log-log plot

mvfit <- survfit (Surv(recidivismv$intDaysUntilFVPO, recidivismv $Event_v) ~ MHC, data = recidivismv)
neg.ll <- function(mvfit) -log(-log(mvfit))
library (Design)
survplot(mvfit, fun = neg.ll, conf = "none", logt=TRUE)

# hazard values
mhc2 <- coxph (Surv(recidivismv$intDaysUntilFVPO, recidivismv $Event_v) ~ MHC, data = recidivismv)
basehaz(mhc2)

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David Winsemius, MD
Heritage Laboratories
West Hartford, CT

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