Weighted Kaplan-Meier estimator with discrete time-independent covariate
wkm(times, data, param = list(alpha = 1, var = TRUE, cov = FALSE,
left.limit = FALSE, rr.subset = rep(TRUE, nrow(data))), formula = NULL)
a vector of evaluation times
data frame containing the variables in formula (if is.null(formula) expected column names are: Y (time), D (status), W (strat. factor), V (left-truncation times))
list of parameters containing: alpha: fractional parameter (default=1) var: if TRUE (default) calculate variance estimate cov: if FALSE (default) do not calculate covariance matrix estimate left.limit: if TRUE calculate left-continuous estimates, else calculate right-continuous estimates rr.subset: logical vector defining subset of observations to use for response rate estimation (default: use all observations)
an object of class '"formula"' specifying the conditional survival model (only discrete covariates supported)
an object of class '"wkm"'
This function calculates the weighted Kaplan-Meier estimator for the survival function with weights based on a discrete time-independent covariate as described in Murray/Tsiatis (1996).
The survival probabilities are evaluated at each entry in the vector times
. The data frame data
must either contain the variable in formula
or, if formula
is NULL
,
the variables V
(left-truncation time), Y
(censored failure time), D
(censoring indicator), W
(stratification variable).
If var
is TRUE
then an estimate of the asmyptotic variance is calculated for each entry in vector times
. If cov
is TRUE
then the n x n
asymptotic
covariance matrix is estimated, where n
is the length of vector times
. If left.limit
is TRUE
then a left-continuous estimate of the survival function is calculated instead
of a right-continuous estimate (default). If a logical vector rr.subset
is supplied, then only a subset of observations is used to estimate the response rates.
S.~Murray and A.~A. Tsiatis. Nonparametric survival estimation using prognostic longitudinal covariates. Biometrics, 52(1):137--151, Mar. 1996.