Kaplan Meier/Nelson Aalen Survival Estimates

Discussion in 'CS2' started by ldr, Mar 6, 2021.

  1. ldr

    ldr Member

    Hi
    Was just looking for some guidance on the KM and NA survival functions, specifically on the time intervals for the survival estimates

    I'm a bit confused on how to write out the for the time interval for the final estimate. Usually for the other ones they follow the following format:
    where t(i) is the time of the ith decrement
    1..... 0<=t<t(1)
    x...... t(1) <=t<t(2)
    y...... t(2) <=t<t(3)
    etc...
    then for the final one ive seen different solutions
    sometimes its written as
    t(n)<= t <= end of investigation
    and sometimes its
    t(n)<= t < end of investigation

    my confusion is which way the inequality should be as the examiners reports and solutions seem to differ sometimes. For example. CT4 September 2015 Q7 and April 2018 Q10 have different approaches

    Thank you
     
  2. Calm

    Calm Ton up Member

    The inequality should be t(n)<= t <= end of investigation.

    From my Prof's notes, it seems that he adds one last category for both KM and NA estimates, which is t(n)<= t < infinity. This makes the second-last category become t(n)<= t < end of investigation, since you don't double-count within the same interval.
     

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