Landmark Aalen-Johansen method
This function implements the landmark Aalen-Johansen method of Putter & Spitoni (2016) for non-parametric estimation of transition probabilities in non-Markov models.
LMAJ(msdata, s, from, method = c("aalen", "greenwood"))
msdata |
An |
s |
The prediction time point s from which transition probabilities are to be obtained |
from |
Either a single state or a set of states in the state space 1,...,S |
method |
The method for calculating variances, as in
|
A data frame containing estimates and associated standard errors of
the transition probabilities P(X(t)=k | X(s) in from
) with s
and from
the arguments of the function.
Hein Putter H.Putter@lumc.nl
H. Putter and C. Spitoni (2016). Estimators of transition probabilities in non-Markov multi-state models. Submitted.
data(prothr) tmat <- attr(prothr, "trans") pr0 <- subset(prothr, treat=="Placebo") attr(pr0, "trans") <- tmat pr1 <- subset(prothr, treat=="Prednisone") attr(pr1, "trans") <- tmat c0 <- coxph(Surv(Tstart, Tstop, status) ~ strata(trans), data=pr0) c1 <- coxph(Surv(Tstart, Tstop, status) ~ strata(trans), data=pr1) msf0 <- msfit(c0, trans=tmat) msf1 <- msfit(c1, trans=tmat) # Comparison as in Figure 2 of Titman (2015) # Aalen-Johansen pt0 <- probtrans(msf0, predt=1000)[[2]] pt1 <- probtrans(msf1, predt=1000)[[2]] par(mfrow=c(1,2)) plot(pt0$time, pt0$pstate1, type="s", lwd=2, xlim=c(1000,4000), ylim=c(0,0.61), xlab="Time since randomisation (days)", ylab="Probability") lines(pt1$time, pt1$pstate1, type="s", lwd=2, lty=3) legend("topright", c("Placebo", "Prednisone"), lwd=2, lty=1:2, bty="n") title(main="Aalen-Johansen") # Landmark Aalen-Johansen LMpt0 <- LMAJ(msdata=pr0, s=1000, from=2) LMpt1 <- LMAJ(msdata=pr1, s=1000, from=2) plot(LMpt0$time, LMpt0$pstate1, type="s", lwd=2, xlim=c(1000,4000), ylim=c(0,0.61), xlab="Time since randomisation (days)", ylab="Probability") lines(LMpt1$time, LMpt1$pstate1, type="s", lwd=2, lty=3) legend("topright", c("Placebo", "Prednisone"), lwd=2, lty=1:2, bty="n") title(main="Landmark Aalen-Johansen")
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