2025-01-12 04:36:52 +08:00

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R Under development (unstable) (2024-02-07 r85873) -- "Unsuffered Consequences"
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> #
> # Verify that using multiple states + proportional baselines
> # will mimic a factor covariate
> #
> library(survival)
> aeq <- function(x, y, ...) all.equal(as.vector(x), as.vector(y), ...)
>
> tdata <- subset(lung, ph.ecog < 3) # there is only one row with ph.ecog=3
> tdata$state <- factor(tdata$status, 1:2, c("censor", "death"))
> tdata$cstate<- factor(tdata$ph.ecog, 0:2, c("ph0", "ph1", "ph2"))
> tdata$id <- 1:nrow(tdata)
> survcheck(Surv(time, state) ~ 1, id=id, istate=cstate, tdata)
Call:
survcheck(formula = Surv(time, state) ~ 1, data = tdata, id = id,
istate = cstate)
Unique identifiers Observations Transitions
226 226 163
Transitions table:
to
from death (censored)
ph0 37 26
ph1 82 31
ph2 44 6
death 0 0
Number of subjects with 0, 1, ... transitions to each state:
count
state 0 1
death 63 163
(any) 63 163
>
> # standard coxph fit, stratified by the ph0/1/2 groups
> fit1 <- coxph(Surv(time, status) ~ age + sex + factor(ph.ecog), tdata,
+ ties="breslow")
> # multi-state fit, where ph0/1/2 are states with a shared hazard
> fit2 <- coxph(list(Surv(time, state) ~1,
+ 1:4 + 2:4 + 3:4~ age + sex/ common + shared),
+ id=id, istate=cstate, data= tdata, ties="breslow")
>
> aeq(coef(fit1), coef(fit2)) # the names are quite different, values the same
[1] TRUE
> all.equal(fit1$loglik, fit2$loglik)
[1] TRUE
>
> # Three curves in the usual way: ph0, 1, or 2 for all time, common baseline
> csurv1 <- survfit(fit1, newdata=expand.grid(age=65, sex=1, ph.ecog=0:2))
>
> # Multistate: start in p0, p1, or p2 (the only place to go is death)
> csurv2a <- survfit(fit2, newdata= list(age=65, sex=1), p0=c(1,0,0,0))
> csurv2b <- survfit(fit2, newdata= list(age=65, sex=1), p0=c(0,1,0,0))
> csurv2c <- survfit(fit2, newdata= list(age=65, sex=1), p0=c(0,0,1,0))
>
> aeq(csurv1[1]$surv, csurv2a$pstate[,1,1])
[1] TRUE
> aeq(csurv1[2]$surv, csurv2b$pstate[,1,2])
[1] TRUE
> aeq(csurv1[3]$surv, csurv2c$pstate[,1,3])
[1] TRUE
>
> # Note that multi-state defaults to the Breslow, as it implements the Efron
> # only imperfectly.
>
> # part 2: predicted survival for a multistate model that has a strata
> mgus2$etime <- with(mgus2, ifelse(pstat==0, futime, ptime))
> temp <- with(mgus2, ifelse(pstat==0, 2*death, 1))
> mgus2$event <- factor(temp, 0:2, labels=c("censor", "pcm", "death"))
>
> dummy <- expand.grid(age=c(60, 80), mspike=1.2)
>
> cfit1 <- coxph(Surv(etime, event) ~ age + mspike +strata(sex), mgus2, id=id)
>
> csurv1 <- survfit(cfit1, newdata=dummy)
>
> cfit2 <- coxph(Surv(etime, event) ~ age + mspike, id=id,
+ init= coef(cfit1), iter=0, data=mgus2, subset=(sex=='F'))
> csurv3 <- survfit(cfit2, newdata= expand.grid(age=c(60, 80), mspike=1.2))
> test <- c('n', 'time', 'n.risk', 'n.event', 'n.censor', 'pstate', 'cumhaz')
> all.equal(unclass(csurv1[1,,])[test], unclass(csurv3)[test])
[1] TRUE
>
>
> # Part 3: compare a shared baseline to identical baseline
> if (FALSE) {
+ # not yet completed
+ fit3 <- coxph(list(Surv(time, state) ~1,
+ 1:4 + 2:4 + 3:4~ age + sex/ common + 1),
+ id=id, istate=cstate, data= tdata)
+ fit4 <- coxph(list(Surv(time, state) ~1,
+ 1:4 + 2:4 + 3:4~ age + sex/ 1),
+ id=id, istate=cstate, data= tdata)
+
+ fit0 <- coxph(Surv(time, status) ~ age + sex, tdata, ties="breslow")
+
+ survfit(fit3, newdata= list(age=65, sex=1))
+ }
>
> proc.time()
user system elapsed
1.085 0.106 1.183