Frank E Harrell Jr   Professor and Chairman        School of Medicine
                     Department of Biostatistics   Vanderbilt University

On Mon, 30 Aug 2010, Ravi Varadhan wrote:

Hi,

I fit a Cox PH model to estimate the cause-specific hazards (in a competing 
risks setting).  Then , I compute the survival estimates for all the 
individuals in my data set using the `survfit' function.  I am currently 
playing with a data set that has about 6000 observations and 12 covariates.  I 
am finding that the survfit function is very slow.

Here is a simple simulation example (modified from Frank Harrell's example for 
`cph') that illustrates the problem:

#n <- 500
set.seed(4321)

age <- 50 + 12*rnorm(n)

sex <- factor(sample(c('Male','Female'), n, rep=TRUE, prob=c(.6, .4)))

cens <- 5 * runif(n)

h <- 0.02 * exp(0.04 * (age-50) + 0.8 * (sex=='Female'))

dt <- -log(runif(n))/h

e <- ifelse(dt <= cens, 1, 0)

dt <- pmin(dt, cens)

Srv <- Surv(dt, e)

f <- coxph(Srv ~ age + sex, x=TRUE, y=TRUE)

system.time(ans <- survfit(f, type="aalen", se.fit=FALSE, newdata=f$x))


When I run the above code with sample sizes, n, taking on values of 500, 1000, 
2000, and 4000, the time it takes for survfit to run are as follows:

# n <- 500
system.time(ans <- survfit(f, type="aalen", se.fit=FALSE, newdata=f$x))
  user  system elapsed
  0.16    0.00    0.15


# n <- 1000
system.time(ans <- survfit(f, type="aalen", se.fit=FALSE, newdata=f$x))
  user  system elapsed
  1.45    0.00    1.48


# n <- 2000
system.time(ans <- survfit(f, type="aalen", se.fit=FALSE, newdata=f$x))
  user  system elapsed
 10.19    0.00   10.25


# n <- 4000
system.time(ans <- survfit(f, type="aalen", se.fit=FALSE, newdata=f$x))
  user  system elapsed
 72.87    0.05   74.87


I eventually want to use `survfit' on a data set with roughly 50K observations, 
which I am afraid is going to be painfully slow.  I would much appreciate 
hints/suggestions on how to make `survfit' faster or any other faster 
alternatives.

Ravi,

If you don't need standard errors/confidence limits, the rms package's survest and related functions can speed things up greatly if you fit the model using cph(...., surv=TRUE). [cph calls coxph, and calls survfit once to estimate the underlying survival curve].

Frank


Thanks.

Best,
Ravi.
____________________________________________________________________

Ravi Varadhan, Ph.D.
Assistant Professor,
Division of Geriatric Medicine and Gerontology
School of Medicine
Johns Hopkins University

Ph. (410) 502-2619
email: rvarad...@jhmi.edu

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