survplot {Design}R Documentation

Plot Survival Curves and Hazard Functions

Description

Plot estimated survival curves, and for parametric survival models, plot hazard functions. There is an option to print the number of subjects at risk at the start of each time interval. Curves are automatically labeled at the points of maximum separation (using the labcurve function), and there are many other options for labeling that can be specified with the label.curves parameter. For example, different plotting symbols can be placed at constant x-increments and a legend linking the symbols with category labels can automatically positioned on the most empty portion of the plot.

Usage

survplot(fit, ...)
## S3 method for class 'Design':
survplot(fit, ..., xlim,
         ylim=if(loglog) c(-5, 1.5) else if
                 (what == "survival" & missing(fun)) c(0, 1),
         xlab, ylab, time.inc,
         what=c("survival","hazard"),
         type=c("tsiatis","kaplan-meier"),
         conf.type=c("log-log","log","plain","none"),
         conf.int=FALSE, conf=c("bars","bands"),
         add=FALSE, label.curves=TRUE,
         abbrev.label=FALSE, lty, lwd=par("lwd"), col=1,
         adj.subtitle, loglog=FALSE, fun,
         n.risk=FALSE, logt=FALSE, dots=FALSE, dotsize=.003,
         grid=FALSE, srt.n.risk=0, sep.n.risk=0.056, adj.n.risk=1, 
         y.n.risk, cex.n.risk=.6, pr=FALSE)
## S3 method for class 'survfit':
survplot(fit, xlim, 
         ylim, xlab, ylab, time.inc,
         conf=c("bars","bands","none"), add=FALSE, 
         label.curves=TRUE, abbrev.label=FALSE,
         lty,lwd=par('lwd'),col=1,
         loglog=FALSE,fun,n.risk=FALSE,logt=FALSE,
         dots=FALSE,dotsize=.003,
         grid=FALSE,
         srt.n.risk=0,sep.n.risk=.056,adj.n.risk=1,
         y.n.risk,cex.n.risk=.6, pr=FALSE, ...)

Arguments

fit result of fit (cph, psm, survfit, survest.psm)
... list of factors with names used in model. For fits from survfit, these arguments do not appear - all strata are plotted. Otherwise the first factor listed is the factor used to determine different survival curves. Any other factors are used to specify single constants to be adjusted to, when defaults given to fitting routine (through limits) are not used. The value given to factors is the original coding of data given to fit, except that for categorical or strata factors the text string levels may be specified. The form of values given to the first factor are NA (use default range or list of all values if variable is discrete), "text" if factor is categorical, c(value1, value2, ...), or a function which returns a vector, such as seq(low,high,by=increment). NA may be specified only for the first factor. In this case the Low effect, Adjust to, and High effect values will be used from datadist if the variable is continuous. For variables not defined to datadist, you must specify non-missing constant settings (or a vector of settings for the one displayed variable). Note that since survfit objects do not use the variable list in ..., you can specify any extra arguments to labcurve by adding them at the end of the list of arguments.
xlim a vector of two numbers specifiying the x-axis range for follow-up time. Default is (0,maxtime) where maxtime was the pretty()d version of the maximum follow-up time in any stratum, stored in fit$maxtime. If logt=TRUE, default is (1, log(maxtime)).
ylim y-axis limits. Default is c(0,1) for survival, and c(-5,1.5) if loglog=TRUE. If fun or loglog=TRUE are given and ylim is not, the limits will be computed from the data. For what="hazard", default limits are computed from the first hazard function plotted.
xlab x-axis label. Default is units attribute of failure time variable given to Surv.
ylab y-axis label. Default is "Survival Probability" or "log(-log Survival Probability)". If fun is given, the default is "". For what="hazard", the default is "Hazard Function".
time.inc time increment for labeling the x-axis and printing numbers at risk. If not specified, the value of time.inc stored with the model fit will be used.
type specifies type of estimates, "tsiatis" (the default) or "kaplan-meier". "tsiatis" here corresponds to the Breslow estimator. This is ignored if survival estimates stored with surv=TRUE are being used. For fits from survfit, this argument is also ignored, since it is specified as an argument to survfit.
conf.type specifies the basis for confidence limits. If estimates stored with surv=TRUE are being used, always uses "log-log", the default. This argument is ignored for fits from survfit.
conf.int Default is FALSE. Specify e.g. .95 to plot 0.95 confidence bands. For fits from parametric survival models, or Cox models with x=TRUE and y=TRUE specified to the fit, the exact asymptotic formulas will be used to compute standard errors, and confidence limits are based on log(-log S(t)). If x=TRUE and y=TRUE were not specified to cph but surv=TRUE was, the standard errors stored for the underlying survival curve(s) will be used. These agree with the former if predictions are requested at the mean value of X beta or if there are only stratification factors in the model. This argument is ignored for fits from survfit, which must have previously specified confidence interval specifications.
conf "bars" for confidence bars at each time.inc time point. If the fit was from cph(..., surv=TRUE), the time.inc used will be that stored with the fit. Use conf="bands" for bands using standard errors at each failure time. For survfit objects only, conf may also be "none", indicating that confidence interval information stored with the survfit result should be ignored.
what defaults to "survival" to plot survival estimates. Set to "hazard" or an abbreviation to plot the hazard function (for psm fits only). Confidence intervals are not available for what="hazard".
add set to TRUE to add curves to an existing plot.
label.curves default is TRUE to use labcurve to label curves where they are farthest apart. Set label.curves to a list to specify options to labcurve, e.g., label.curves=list(method="arrow", cex=.8). These option names may be abbreviated in the usual way arguments are abbreviated. Use for example label.curves=list(keys=1:5) to draw symbols (as in pch=1:5 - see points) on the curves and automatically position a legend in the most empty part of the plot. Set label.curves=FALSE to suppress drawing curve labels. The col, lty, lwd, and type parameters are automatically passed to labcurve, although you can override them here. To distinguish curves by line types and still have labcurve construct a legend, use for example label.curves=list(keys="lines"). The negative value for the plotting symbol will suppress a plotting symbol from being drawn either on the curves or in the legend.
abbrev.label set to TRUE to abbreviate() curve labels that are plotted
lty vector of line types to use for different factor levels. Default is c(1,3,4,5,6,7,...).
lwd vector of line widths to use for different factor levels. Default is current par setting for lwd.
col color for curve, default is 1. Specify a vector to assign different colors to different curves.
adj.subtitle set to FALSE to suppress plotting subtitle with levels of adjustment factors not plotted. Defaults to TRUE if there are 4 or fewer adjustment factors. This argument is ignored for survfit.
loglog set to TRUE to plot log(-log Survival) instead of Survival
fun specifies any function to translate estimates and confidence limits before plotting
logt set to TRUE to plot log(t) instead of t on the x-axis
n.risk set to TRUE to add number of subjects at risk for each curve, using the surv.summary created by cph or using the failure times used in fitting the model if y=TRUE was specified to the fit or if the fit was from survfit. The numbers are placed at the bottom of the graph unless y.n.risk is given. If the fit is from survest.psm, n.risk does not apply.
srt.n.risk angle of rotation for leftmost number of subjects at risk (since this number may run into the second or into the y-axis). Default is 0.
adj.n.risk justification for leftmost number at risk. Default is 1 for right justification. Use 0 for left justification, .5 for centered.
sep.n.risk multiple of upper y limit - lower y limit for separating lines of text containing number of subjects at risk. Default is .056*(ylim[2]-ylim[1]).
y.n.risk When n.risk=TRUE, the default is to place numbers of patients at risk above the x-axis. You can specify a y-coordinate for the bottom line of the numbers using y.n.risk.
cex.n.risk character size for number of subjects at risk (when n.risk is TRUE)
dots set to TRUE to plot a grid of dots. Will be plotted at every time.inc (see cph) and at survival increments of .1 (if d>.4), .05 (if .2 < d <= .4), or .025 (if d <= .2), where d is the range of survival displayed.
dotsize size of dots in inches
grid defaults to FALSE. Set to a color shading to plot faint lines. Set to 1 to plot solid lines. Default is .05 if TRUE.
pr set to TRUE to print survival curve coordinates used in the plots

Details

survplot will not work for Cox models with time-dependent covariables. Use survest or survfit for that purpose.

Use ps.slide, win.slide, gs.slide to set up nice defaults for plotting. These also set a system option mgp.axis.labels to allow x and y-axes to have differing mgp graphical parameters (see par). This is important when labels for y-axis tick marks are to be written horizontally (par(las=1)), as a larger gap between the labels and the tick marks are needed. You can set the axis-specific 2nd component of mgp using mgp.axis.labels(c(xvalue,yvalue)).

Value

list with components adjust (text string specifying adjustment levels) and curve.labels (vector of text strings corresponding to levels of factor used to distinguish curves). For survfit, the returned value is the vector of strata labels, or NULL if there are no strata.

Side Effects

plots. If par()$mar[4]<4, issues par(mar=) to increment mar[4] by 2 if n.risk=TRUE and add=FALSE. The user may want to reset par(mar) in this case to not leave such a wide right margin for plots. You usually would issue par(mar=c(5,4,4,2)+.1).

See Also

datadist, Design, cph, psm, survest, predict.Design, plot.Design, units, errbar, survfit, survreg.distributions, labcurve, mgp.axis.labels, par, ps.slide

Examples

# Simulate data from a population model in which the log hazard
# function is linear in age and there is no age x sex interaction
n <- 1000
set.seed(731)
age <- 50 + 12*rnorm(n)
label(age) <- "Age"
sex <- factor(sample(c('male','female'), n, TRUE))
cens <- 15*runif(n)
h <- .02*exp(.04*(age-50)+.8*(sex=='Female'))
dt <- -log(runif(n))/h
label(dt) <- 'Follow-up Time'
e <- ifelse(dt <= cens,1,0)
dt <- pmin(dt, cens)
units(dt) <- "Year"
dd <- datadist(age, sex)
options(datadist='dd')
S <- Surv(dt,e)

#Plot stratified survival curves by sex, adj for quadratic age effect
# with age x sex interaction (2 d.f. interaction)

f <- cph(S ~ pol(age,2)*strat(sex), surv=TRUE)
#or f <- psm(S ~ pol(age,2)*sex)

survplot(f, sex=NA, n.risk=TRUE)           #Adjust age to median
survplot(f, sex=NA, logt=TRUE, loglog=TRUE)   #Check for Weibull-ness (linearity)
survplot(f, sex=c("male","female"), age=50)
                                        #Would have worked without datadist
                                        #or with an incomplete datadist
survplot(f, sex=NA, label.curves=list(keys=c(2,0), point.inc=2))
                                        #Identify curves with symbols

survplot(f, sex=NA, label.curves=list(keys=c('m','f')))
                                        #Identify curves with single letters

#Plots by quintiles of age, adjusting sex to male
options(digits=3)
survplot(f, age=quantile(age,seq(0,1,by=.2)), sex="male")

#Plot survival Kaplan-Meier survival estimates for males
f <- survfit(S, subset=sex=="male")
survplot(f)

#Plot survival for both sexes
f <- survfit(S ~ sex)
survplot(f)
#Check for log-normal and log-logistic fits
survplot(f, fun=qnorm, ylab="Inverse Normal Transform")
survplot(f, fun=function(y)log(y/(1-y)), ylab="Logit S(t)")

options(datadist=NULL)

[Package Design version 2.0-12 Index]