17.2. Life Table Estimation of Survival Rates
Consider Table 17.1. Investigators were interested in comparing an active and control treatment to prevent the recurrence of a medical condition that had been healed. They applied a diagnostic procedure at the end of the first, second, and third years to determine whether there was a recurrence (based on Johnson and Koch 1978).
Withdrawals | Recurrences | |||||||
---|---|---|---|---|---|---|---|---|
Treatment | Year 1 | Year 2 | Year 3 | Year 1 | Year 2 | Year 3 | No Recurrence | Total |
Control | 9 | 7 | 6 | 15 | 13 | 7 | 17 | 74 |
Active | 9 | 3 | 4 | 12 | 7 | 10 | 45 | 90 |
The survival rate, or the waiting time rate, is a key measure in the analysis of time-to-event data. It is written
S(y) = 1 – F(y) = Pr{Y ≥ y}
where Y denotes the continuous lifetime of a subject and F(y) ...
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