Table 2.
Estimates and confidence intervals (%) of survivor functions for some selected times in the prostate cancer example
| Time (years) | 1.5 | 5 | 8 | |
|---|---|---|---|---|
| A1 | Kaplan–Meier estimator | 99.4 (97.6, 100) | 93.9 (90.0, 97.2) | 83.6 (76.4, 91.1) |
| Pointwise constrained estimator | 99.4 (97.6, 99.9) | 93.9 (90.0, 97.2) | 83.6 (76.4, 90.2) | |
| A2 | Kaplan–Meier estimator | 99.1 (96.6, 99.9) | 83.4 (75.6, 90.2) | 73.0 (63.2, 82.3) |
| Pointwise constrained estimator | 99.1 (96.5, 99.9) | 83.4 (76.6, 89.9) | 73.0 (64.0, 83.0) | |
| A3 | Kaplan–Meier estimator | 80.0 (36.0, 98.0) | 70.0 (44.8, 92.7) | 70.0 (44.8, 100) |
| Pointwise constrained estimator | 88.7 (70.9, 94.9) | 70.0 (53.2, 91.6) | 70.0 (52.6, 93.6) | |
| B1 | Kaplan–Meier estimator | 98.0 (92.2, 99.7) | 78.3 (71.2, 86.1) | 67.0 (57.8, 77.8) |
| Pointwise constrained estimator | 98.0 (95.2, 99.7) | 78.3 (71.2, 86.1) | 67.0 (57.8, 77.8) | |
| B2 | Kaplan–Meier estimator | 86.8 (79.6, 93.6) | 48.8 (38.9, 62.2) | 34.2 (22.9, 52.6) |
| Pointwise constrained estimator | 88.7 (83.0, 93.9) | 48.8 (39.6, 59.9) | 39.8 (30.3, 54.0) | |
| B3 | Kaplan–Meier estimator | 96.4 (86.2, 99.8) | 47.9 (33.4, 67.5) | 47.9 (33.5, 69.4) |
| Pointwise constrained estimator | 88.7 (83.5, 93.8) | 47.9 (38.4, 69.2) | 39.8 (29.9, 54.2) |
Nominal 95% bootstrap confidence intervals using arcsin(s1/2) transformation and controlling bias overcorrection are shown in parentheses.