Table 3 Simulation Results
From: Systematic comparison of approaches to analyze clustered competing risks data
Scen. | bias for primary log(\(HR_{PE}\)) | \(\sqrt{\text {mean squared error}}\) for primary log(\(HR_{PE}\)) | ||||||
|---|---|---|---|---|---|---|---|---|
| Â | Cox-frailty | F-G. model | Katsahian et al. | Zhou et al. | Cox-frailty | F-G. model | Katsahian et al. | Zhou et al. |
1a | -0.01 | 0.34 | -0.01 | 0.37 | 0.20 | 0.38 | 0.20 | 0.41 |
1b | -0.01 | 0.34 | -0.01 | 0.36 | 0.20 | 0.39 | 0.20 | 0.41 |
1c | -0.01 | 0.33 | -0.01 | 0.37 | 0.20 | 0.38 | 0.20 | 0.42 |
2a | -0.01 | 0.34 | -0.01 | 0.34 | 0.22 | 0.40 | 0.23 | 0.40 |
2b | 0.01 | 0.36 | 0.01 | 0.36 | 0.22 | 0.42 | 0.22 | 0.42 |
2c | 0.03 | 0.36 | 0.03 | 0.36 | 0.22 | 0.41 | 0.23 | 0.41 |
3a | -0.01 | 0.09 | -0.01 | 0.07 | 0.22 | 0.24 | 0.22 | 0.21 |
3b | -0.00 | 0.08 | -0.00 | 0.08 | 0.22 | 0.22 | 0.22 | 0.22 |
3c | 0.00 | 0.08 | 0.00 | 0.08 | 0.22 | 0.21 | 0.22 | 0.21 |
4a | -0.01 | 0.35 | -0.01 | 0.34 | 0.20 | 0.41 | 0.20 | 0.40 |
4b | 0.01 | 0.36 | 0.01 | 0.36 | 0.20 | 0.41 | 0.20 | 0.41 |
4c | 0.02 | 0.35 | -0.01 | 0.35 | 0.21 | 0.40 | 0.21 | 0.40 |
5a | -0.01 | 0.14 | -0.01 | 0.06 | 0.19 | 0.27 | 0.19 | 0.20 |
5b | 0.00 | 0.10 | 0.00 | 0.07 | 0.20 | 0.23 | 0.20 | 0.20 |
5c | -0.01 | 0.07 | -0.01 | 0.07 | 0.20 | 0.21 | 0.20 | 0.20 |
6a | -0.01 | 0.23 | -0.01 | 0.22 | 0.21 | 0.30 | 0.21 | 0.29 |
6b | 0.00 | 0.25 | -0.00 | 0.25 | 0.20 | 0.30 | 0.20 | 0.30 |
6c | 0.01 | 0.26 | 0.00 | 0.26 | 0.20 | 0.30 | 0.20 | 0.30 |
7a | -0.01 | 0.11 | -0.01 | 0.10 | 0.20 | 0.22 | 0.20 | 0.19 |
7b | -0.00 | 0.11 | -0.00 | 0.11 | 0.29 | 0.19 | 0.19 | 0.19 |
7c | 0.01 | 0.12 | 0.00 | 0.12 | 0.19 | 0.30 | 0.19 | 0.19 |
8a | -0.01 | 0.19 | -0.01 | 0.17 | 0.18 | 0.27 | 0.18 | 0.23 |
8b | 0.01 | 0.19 | 0.00 | 0.19 | 0.18 | 0.25 | 0.18 | 0.25 |
8c | 0.00 | 0.19 | -0.00 | 0.19 | 0.18 | 0.25 | 0.18 | 0.25 |
9a | -0.01 | 0.11 | -0.01 | 0.06 | 0.17 | 0.22 | 0.17 | 0.16 |
9b | 0.00 | 0.09 | 0.00 | 0.08 | 0.17 | 0.19 | 0.17 | 0.17 |
9c | -0.00 | 0.08 | -0.01 | 0.08 | 0.17 | 0.17 | 0.17 | 0.17 |
10a | 0.01 | 0.57 | 0.01 | 0.58 | 0.29 | 0.64 | 0.29 | 0.66 |
10b | 0.03 | 0.59 | 0.02 | 0.59 | 0.28 | 0.65 | 0.28 | 0.65 |
10c | 0.07 | 0.58 | 0.06 | 0.58 | 0.29 | 0.62 | 0.29 | 0.62 |
11a | -0.00 | 0.15 | -0.00 | 0.15 | 0.29 | 0.31 | 0.30 | 0.30 |
11b | -0.00 | 0.15 | -0.00 | 0.15 | 0.28 | 0.30 | 0.28 | 0.30 |
11c | 0.01 | 0.15 | 0.01 | 0.15 | 0.28 | 0.28 | 0.28 | 0.28 |
12a | 0.02 | 0.64 | 0.01 | 0.66 | 0.26 | 0.69 | 0.26 | 0.71 |
12b | 0.04 | 0.66 | 0.03 | 0.66 | 0.25 | 0.70 | 0.26 | 0.70 |
12c | 0.07 | 0.66 | 0.07 | 0.66 | 0.27 | 0.70 | 0.27 | 0.70 |
13a | -0.00 | 0.18 | -0.00 | 0.16 | 0.27 | 0.30 | 0.27 | 0.29 |
13b | 0.00 | 0.17 | 0.00 | 0.16 | 0.25 | 0.29 | 0.26 | 0.29 |
13c | 0.00 | 0.17 | 0.00 | 0.17 | 0.26 | 0.29 | 0.26 | 0.29 |