Survival Analysis Notes

Interval nj dj nj dj nj s t 0 6 6 7 7 10 10

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Unformatted text preview: ents: 6, 6, 6, 6∗ , 7, 9∗ , 10, 10∗ , 11∗ , 13, 16, 17∗ , 19∗ , 20∗ , 22, 23, 25∗ , 32∗ , 32∗ , 34∗ , 35∗ . ∗ means subject left study. Interval nj dj nj −dj nj S (t ) [0, 6) [6, 7) [7, 10) [10, 13) [13, 16) [16, 22) [22, 23) [23, ∞) 21 21 17 15 12 11 7 6 0 3 1 1 1 1 1 1 21/21=1 18/21=0.857 16/17=0.941 14/15=0.933 11/12=0.917 10/11=0.909 6/7=0.857 5/6=0.833 1 0.857 0.807 0.753 0.69 0.627 0.538 0.448 UNM Life Table Estimate Considers the time interval [tj , tj +1 ]. dj = number of deaths in interval, cj = number of censored cases, nj = number of alive at the start. Censored survival times occur uniformly through the j − th interval (actuarial assumption). Average number of individuals at risk during this interval, nj = nj − cj /2 = nj − 0.5cj Probability of ’death’ in the j − th interval ≈ dj /nj UNM The probability of...
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This note was uploaded on 01/27/2014 for the course STAT 574 taught by Professor Gabrielhuerta during the Fall '13 term at New Mexico.

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