Table 3 Mean over m = 500 dose + cancer simulations of regression coefficients in fits of linear-quadratic model.
From: A generalisation of the method of regression calibration
Magnitude of error distribution (GSD) | Unadjusted | Regression calibration | Extended regression calibration | Monte Carlo maximum likelihood | |||||||
---|---|---|---|---|---|---|---|---|---|---|---|
ERR/Gy | ERR/Gy2 | ERR/Gy | ERR/Gy2 | ERR/Gy | ERR/Gy2 | ERR/Gy | ERR/Gy2 | ||||
Unshared Berkson error (%) | Shared Berkson error (%) | Unshared classical error (%) | Shared classical error (%) | α | β | α | β | α | β | α | β |
0 | 0 | 20 | 20 | 0.221 | 2.278 | 0.196 | 2.061 | 0.196 | 2.061 | 0.196 | 2.061 |
0 | 0 | 20 | 50 | 0.288 | 4.168 | 0.196 | 2.061 | 0.196 | 2.061 | 0.196 | 2.061 |
0 | 0 | 50 | 20 | 0.255 | 2.260 | 0.196 | 2.061 | 0.196 | 2.061 | 0.196 | 2.061 |
0 | 0 | 50 | 50 | 0.328 | 4.136 | 0.196 | 2.061 | 0.196 | 2.061 | 0.196 | 2.061 |
20 | 20 | 20 | 20 | 0.220 | 2.469 | 0.195 | 2.233 | 0.125 | 2.132 | 0.288 | 2.207 |
20 | 20 | 20 | 50 | 0.287 | 4.523 | 0.195 | 2.233 | 0.125 | 2.132 | 0.288 | 2.207 |
20 | 20 | 50 | 20 | 0.255 | 2.451 | 0.195 | 2.233 | 0.125 | 2.132 | 0.288 | 2.207 |
20 | 20 | 50 | 50 | 0.328 | 4.492 | 0.195 | 2.233 | 0.125 | 2.132 | 0.288 | 2.207 |
20 | 50 | 20 | 20 | 0.262 | 2.983 | 0.227 | 2.707 | 0.109 | 2.393 | 0.370 | 3.007 |
20 | 50 | 20 | 50 | 0.354 | 5.426 | 0.227 | 2.707 | 0.109 | 2.393 | 0.370 | 3.007 |
20 | 50 | 50 | 20 | 0.303 | 2.962 | 0.227 | 2.707 | 0.109 | 2.393 | 0.370 | 3.007 |
20 | 50 | 50 | 50 | 0.401 | 5.390 | 0.227 | 2.707 | 0.109 | 2.393 | 0.370 | 3.007 |
50 | 20 | 20 | 20 | 0.259 | 2.986 | 0.224 | 2.709 | 0.121 | 2.354 | 0.337 | 2.678 |
50 | 20 | 20 | 50 | 0.347 | 5.441 | 0.224 | 2.709 | 0.121 | 2.354 | 0.337 | 2.678 |
50 | 20 | 50 | 20 | 0.299 | 2.964 | 0.224 | 2.709 | 0.121 | 2.354 | 0.337 | 2.678 |
50 | 20 | 50 | 50 | 0.395 | 5.401 | 0.224 | 2.709 | 0.121 | 2.354 | 0.337 | 2.678 |
50 | 50 | 20 | 20 | 0.243 | 3.703 | 0.209 | 3.349 | 0.038 | 2.795 | 0.362 | 3.401 |
50 | 50 | 20 | 50 | 0.332 | 6.744 | 0.209 | 3.349 | 0.038 | 2.795 | 0.362 | 3.401 |
50 | 50 | 50 | 20 | 0.286 | 3.682 | 0.209 | 3.349 | 0.038 | 2.795 | 0.362 | 3.401 |
50 | 50 | 50 | 50 | 0.383 | 6.703 | 0.209 | 3.349 | 0.038 | 2.795 | 0.362 | 3.401 |
True value | 0.25 | 2.0 | 0.25 | 2.0 | 0.25 | 2.0 | 0.25 | 2.0 |