Survival Estimate function on the whole population
一. Survival Model feature
a) Decreasing survive possibility as time goes on. b) Start at 1 and end at 0.
二. Censoring (实验终止)
- Right censoring: the timed the event is only known to exceed a
certain value(18+) - The end-of-study censoring (the i_2 in the following figure)
- Lost-to-follow-up censoring(the i_3 in the following figure)
三. Estimate method
- assume the right censor patient die immediately(18+——18)
- assume the right censor patient never die(18+——infinite)
- use conditional probability(Kaplan-Meier Estimation):
The probability of survival past 25
=P(t>25)
=P(t>=26,t>=25,…,t>=2,t>=1,t>=0)
=P(t>=26|t>=25)…P(t>=1|t>=0)P(t>=0)
=P(t>=26|t>=25)…P(t>=1|t>=0)
=[1-P(t=25|t>=25)]…[1-P(t=0|t>=0)]
四. The result of the estimate
##New Estimate refer to the one that use conditional probability