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Tuesday, January 24, 2012

Plot empirical and fitted survival curves

Plot empirical and fitted survival curves

Description

Plot a Kaplan-Meier estimate of the survival probability and compare it with the fitted survival probability from a msm model.

Usage

plot.survfit.msm(x, from=1, to=NULL, range=NULL, covariates="mean",
                 interp=c("start","midpoint"), ci=c("none","normal","bootstrap"), B=100,
                 legend.pos=NULL, xlab="Time", ylab="Survival probability", lwd=1, ...)

Arguments

x Output from msm, representing a fitted multi-state model object.
from State from which to consider survival. Defaults to state 1.
to Absorbing state to consider. Defaults to the highest-labelled absorbing state.
range Vector of two elements, giving the range of times to plot for.
covariates Covariate values for which to evaluate the expected probabilities. This can either be:

the string "mean", denoting the means of the covariates in the data (this is the default),

the number 0, indicating that all the covariates should be set to zero,

or a list of values, with optional names. For example
list (60, 1)
where the order of the list follows the order of the covariates originally given in the model formula, or a named list,
list (age = 60, sex = 1)
ci If "none" (the default) no confidence intervals are plotted. If "normal" or "bootstrap", confidence intervals are plotted based on the respective method in pmatrix.msm. This is very computationally-intensive, since intervals must be computed at a series of times.
B Number of bootstrap or normal replicates for the confidence interval. The default is 100 rather than the usual 1000, since these plots are for rough diagnostic purposes.
interp If interp="start" (the default) then the entry time into the absorbing state is assumed to be the time it is first observed in the data.
If interp="midpoint" then the entry time into the absorbing state is assumed to be halfway between the time it is first observed and the previous observation time. This is generally more reasonable for "progressive" models with observations at arbitrary times.
legend.pos Vector of the x and y position, respectively, of the legend.
xlab x axis label.
ylab y axis label.
lwd Line width. See par.
... Other arguments to be passed to the plot.survfit and lines.survfit functions.

Details

If the data represent observations of the process at arbitrary times, then the first occurrence of the absorbing state in the data will usually be greater than the actual first transition time to that state. Therefore the Kaplan-Meier estimate of the survival probability will be an overestimate.
This currently only handles time-homogeneous models.

See Also

survfit, plot.survfit, plot.prevalence.msm

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