From: Correcting inaccurate background mortality in excess hazard models through breakpoints
Scenario | Model | βa = 0.3 | βx = − 0.2 | ||||||
---|---|---|---|---|---|---|---|---|---|
Bias | Rel. bias | ECR | RMSE | Bias | Rel. bias | ECR | RMSE | ||
A | 1 | −0.012 | − 0.039 | 95.1 | 0.05 | 0.002 | − 0.012 | 95.1 | 0.13 |
2 | 0.006 | 0.019 | 94.0 | 0.08 | 0.029 | −0.146 | 96.4 | 0.21 | |
3.1 | −0.001 | −0.003 | 91.4 | 0.09 | 0.064 | −0.322 | 96.9 | 0.25 | |
3.2 | −0.003 | −0.009 | 90.4 | 0.09 | 0.077 | −0.386 | 96.6 | 0.27 | |
4 | 0.000 | −0.002 | 91.1 | 0.09 | 0.070 | −0.348 | 96.5 | 0.26 | |
B | 1 | −0.111 | −0.370 | 30.1 | 0.12 | −0.366 | 1.832 | 18.2 | 0.39 |
2 | 0.008 | 0.026 | 90.5 | 0.08 | 0.010 | −0.050 | 95.6 | 0.23 | |
3.1 | 0.001 | 0.003 | 90.6 | 0.08 | 0.040 | −0.201 | 94.9 | 0.27 | |
3.2 | 0.000 | −0.001 | 91.4 | 0.08 | 0.050 | −0.252 | 94.7 | 0.29 | |
4 | 0.000 | 0.000 | 91.4 | 0.08 | 0.045 | −0.224 | 94.6 | 0.28 | |
C | 1 | 0.135 | 0.450 | 14.6 | 0.14 | 0.388 | −1.940 | 17.7 | 0.41 |
2 | −0.068 | −0.227 | 88.5 | 0.11 | −0.181 | 0.904 | 82.0 | 0.27 | |
3.1 | −0.049 | −0.163 | 90.9 | 0.10 | −0.068 | 0.338 | 93.3 | 0.25 | |
3.2 | − 0.051 | − 0.171 | 91.7 | 0.10 | −0.051 | 0.256 | 94.1 | 0.25 | |
4 | −0.049 | − 0.163 | 91.2 | 0.10 | −0.063 | 0.316 | 93.6 | 0.25 | |
D | 1 | −0.102 | −0.340 | 40.1 | 0.11 | −0.536 | 2.681 | 00.6 | 0.55 |
2 | −0.052 | −0.174 | 89.2 | 0.09 | −0.329 | 1.644 | 57.9 | 0.39 | |
3.1 | −0.037 | −0.122 | 91.7 | 0.09 | −0.195 | 0.974 | 76.7 | 0.32 | |
3.2 | −0.036 | −0.120 | 91.4 | 0.08 | −0.172 | 0.860 | 79.2 | 0.32 | |
4 | −0.037 | − 0.122 | 91.7 | 0.09 | −0.185 | 0.927 | 77.7 | 0.32 | |
E | 1 | −0.212 | −0.707 | 00.7 | 0.22 | −0.694 | 3.468 | 00.1 | 0.70 |
2 | −0.006 | −0.019 | 94.7 | 0.05 | −0.061 | 0.307 | 92.3 | 0.24 | |
3.1 | −0.015 | −0.051 | 94.6 | 0.06 | −0.001 | 0.004 | 93.7 | 0.29 | |
3.2 | −0.020 | −0.067 | 95.3 | 0.06 | 0.017 | −0.087 | 94.3 | 0.30 | |
4 | −0.016 | −0.052 | 94.7 | 0.06 | 0.003 | −0.013 | 94.0 | 0.29 |