Table 2 Simulation Results
From: Systematic comparison of approaches to analyze clustered competing risks data
Scen. | mean amount of events (sd) | Estimated log(\(HR_{PE}\)) (sd) for primary endpoint | Power | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Â | primary | competing | Cox-frailty | F-G. model | Katsahian et al. | Zhou et al. | Cox-frailty | F-G. model | Katsahian et al. | Zhou et al. |
1a | 114.73 (7.86) | 135.26 (7.86) | -0.70 (0.20) | -0.36 (0.18) | -0.70 (0.20) | -0.33 (0.19) | 0.95 | 0.52 | 0.95 | 0.53 |
1b | 114.92 (7.83) | 135.07 (7.82) | -0.70 (0.20) | -0.35 (0.18) | -0.71 (0.20) | -0.33 (0.19) | 0.95 | 0.51 | 0.96 | 0.48 |
1c | 114.68 (7.98) | 135.31 (7.98) | -0.70 (0.20) | -0.36 (0.17) | -0.70 (0.20) | -0.32 (0.19) | 0.95 | 0.53 | 0.95 | 0.42 |
2a | 92.49 (17.62) | 108.47 (21.17) | -0.70 (0.22) | -0.35 (0.21) | -0.70 (0.23) | -0.35 (0.21) | 0.89 | 0.35 | 0.89 | 0.52 |
2b | 92.50 (13.41) | 108.69 (14.76) | -0.68 (0.22) | -0.33 (0.21) | -0.68 (0.22) | -0.33 (0.21) | 0.88 | 0.34 | 0.88 | 0.42 |
2c | 92.14 (10.35) | 108.29 (11.11) | -0.66 (0.22) | -0.33 (0.20) | -0.66 (0.22) | -0.33 (0.20) | 0.85 | 0.34 | 0.85 | 0.41 |
3a | 93.85 (17.25) | 111.51 (20.84) | -0.36 (0.22) | -0.26 (0.22) | -0.37 (0.22) | -0.29 (0.20) | 0.39 | 0.24 | 0.40 | 0.43 |
3b | 93.73 (13.24) | 111.62 (14.50 | -0.36 (0.22) | -0.27 (0.21) | -0.36 (0.22) | -0.28 (0.21) | 0.38 | 0.25 | 0.39 | 0.35 |
3c | 93.48 (20.23) | 111.29 (10.99) | -0.35 (0.22) | -0.27 (0.20) | -0.35 (0.22) | -0.27 (0.20) | 0.36 | 0.24 | 0.37 | 0.30 |
4a | 106.29 (12.17) | 124.77 (13.76) | -0.70 (0.20) | -0.34 (0.20) | -0.70 (0.20) | -0.35 (0.19) | 0.94 | 0.40 | 0.94 | 0.56 |
4b | 106.00 (10.09) | 124.72 (11.11) | -0.68 (0.20) | -0.33 (0.19) | -0.68 (0.20) | -0.33 (0.19) | 0.92 | 0.39 | 0.92 | 0.47 |
4c | 106.15 (8.58) | 124.75 (8.98) | -0.67 (0.20) | -0.34 (0.19) | -0.67 (0.20) | -0.34 (0.20) | 0.91 | 0.40 | 0.91 | 0.44 |
5a | 107.07 (11.70) | 127.25 (13.17) | -0.37 (0.19) | -0.22 (0.23) | -0.37 (0.19) | -0.30 (0.19) | 0.46 | 0.25 | 0.46 | 0.47 |
5b | 106.75 (9.87) | 127.21 (10.77) | -0.36 (0.20) | -0.26 (0.21) | -0.36 (0.20) | -0.28 (0.19) | 0.42 | 0.27 | 0.42 | 0.38 |
5c | 106.91 (8.41) | 127.22 (8.98) | -0.36 (0.20) | -0.29 (0.19) | -0.36 (0.20) | -0.29 (0.19) | 0.42 | 0.30 | 0.42 | 0.34 |
6a | 114.02 (34.76) | 77.86 (21.72) | -0.70 (0.21) | -0.46 (0.20) | -0.70 (0.21) | -0.47 (0.19) | 0.92 | 0.64 | 0.92 | 0.84 |
6b | 114.98 (24.93) | 77.41 (15.57) | -0.69 (0.20) | -0.45 (0.17) | -0.70 (0.20) | -0.45 (0.17) | 0.94 | 0.64 | 0.94 | 0.83 |
6c | 113.78 (16.21) | 77.79 (11.03) | -0.68 (0.20) | -0.43 (0.16) | -0.69 (0.20) | -0.43 (0.16) | 0.93 | 0.65 | 0.93 | 0.82 |
7a | 121.03 (35.88) | 75.95 (22.49) | -0.36 (0.20) | -0.24 (0.18) | -0.36 (0.20) | -0.26 (0.16) | 0.48 | 0.22 | 0.48 | 0.51 |
7b | 122.04 (25.71) | 75.20 (16.13) | -0.36 (0.19) | -0.24 (0.15) | -0.36 (0.19) | -0.24 (0.15) | 0.47 | 0.22 | 0.48 | 0.44 |
7c | 120.75 (16.64) | 75.77 (11.21) | -0.35 (0.19) | -0.24 (0.15) | -0.36 (0.19) | -0.24(0.15) | 0.46 | 0.19 | 0.47 | 0.40 |
8a | 134.29 (28.71) | 89.77 (18.07) | -0.70 (0.18) | -0.50 (0.19) | -0.70 (0.18) | -0.53 (0.16) | 0.97 | 0.80 | 0.97 | 0.93 |
8b | 134.28 (20.30) | 89.43 (13.93) | -0.69 (0.18) | -0.50 (0.16) | -0.69 (0.18) | -0.50 (0.16) | 0.97 | 0.84 | 0.97 | 0.91 |
8c | 134.09 (13.91) | 89.70 (10.36) | -0.69 (0.18) | -0.50 (0.15) | -0.69 (0.18) | -0.50 (0.15) | 0.97 | 0.84 | 0.97 | 0.92 |
9a | 142.90 (29.48) | 85.39 (19.38) | -0.37 (0.17) | -0.25 (0.20) | -0.37 (0.17) | -0.29 (0.15) | 0.57 | 0.33 | 0.57 | 0.62 |
9b | 142.83 (20.77) | 85.08 (14.60) | -0.35 (0.17) | -0.27 (0.16) | -0.35 (0.17) | -0.28 (0.15) | 0.55 | 0.33 | 0.55 | 0.54 |
9c | 142.68 (14.16) | 85.32 (10.74) | -0.36 (0.17) | -0.28 (0.15) | -0.36 (0.18) | -0.28 (0.15) | 0.64 | 0.36 | 0.54 | 0.51 |
10a | 64.25 (19.46) | 125.17 (37.09) | -0.68 (0.29) | -0.12 (0.30) | -0.69 (0.29) | -0.11 (0.30) | 0.72 | 0.11 | 0.73 | 0.21 |
10b | 63.83 (14.39) | 126.16 (26.09) | -0.66 (0.28) | -0.11 (0.27) | -0.67 (0.28) | -0.10 (0.27) | 0.69 | 0.07 | 0.69 | 0.14 |
10c | 64.09 (10.31) | 124.80 (16.82) | -0.63 (0.28) | -0.12 (0.24) | -0.63 (0.28) | -0.12 (0.24) | 0.62 | 0.06 | 0.63 | 0.09 |
11a | 61.84 (19.85) | 132.82 (37.09) | -0.36 (0.29) | -0.20 (0.27) | -0.36 (0.30) | -0.21 (0.27) | 0.27 | 0.12 | 0.27 | 0.29 |
11b | 61.17 (14.71) | 133.86 (26.43) | -0.36 (0.28) | -0.21 (0.25) | -0.36 (0.28) | -0.21 (0.25) | 0.26 | 0.11 | 0.26 | 0.21 |
11c | 61.66 (10.29) | 132.56 (17.13) | -0.35 (0.28) | -0.21 (0.24) | -0.35 (0.28) | -0.21 (0.24) | 0.24 | 0.10 | 0.23 | 0.14 |
12a | 73.67 (17.19) | 148.09 (30.11) | -0.68 (0.26) | -0.06 (0.26) | -0.68 (0.26) | -0.03(0.27) | 0.77 | 0.10 | 0.78 | 0.15 |
12b | 73.29 (12.86) | 147.87 (21.28) | -0.66 (0.25) | -0.03 (0.25) | -0.66 (0.25) | -0.03 (0.25) | 0.74 | 0.06 | 0.75 | 0.11 |
12c | 73.70 (9.89) | 147.71 (14.61) | -0.62 (0.26) | -0.05 (0.24) | -0.62 (0.26) | -0.04 (0.24) | 0.68 | 0.05 | 0.69 | 0.07 |
13a | 68.95 (18.09) | 157.49 (30.12) | -0.36 (0.27) | -0.18 (0.24) | -0.36 (0.27) | -0.19 (0.24) | 0.29 | 0.10 | 0.29 | 0.27 |
13b | 68.53 (13.31) | 157.29 (21.26) | -0.36 (0.25) | -0.19 (0.23) | -0.36 (0.26) | -0.19 (0.24) | 0.28 | 0.11 | 0.28 | 0.19 |
13c | 68.97 (9.98) | 157.11 (14.48) | -0.35 (0.26) | -019 (0.24) | -0.35 (0.26) | -0.19 (0.24) | 0.26 | 0.12 | 0.26 | 0.16 |