Table 1.
For both biological endpoints, the preferable final non-nested models are shown with related final deviances (dev), difference in final deviances (Δdev) with respect to the model with the smallest deviance, number of model parameters (N par), AIC-values, difference in AIC-values (ΔAIC) with respect to the model with the smallest AIC-value, and Akaike weights
| dev | Δdev | N par | AIC | ΔAIC | Weight | |
|---|---|---|---|---|---|---|
| CVD (ICD-9 430–429) | ||||||
| ERR-LNT model [#1] | 3569.51 | 3.46 | 22 | 3613.51 | 1.46 | 0.2628 |
| ERR-quadratic model [#2] | 3570.14 | 4.09 | 22 | 3614.14 | 2.09 | 0.1918 |
| ERR-step model [#6], D th = 0.62 Gy | 3566.05 | 0 | 23 | 3612.05 | 0 | 0.5454 |
| Preston’s ERR-LNT model | 3599.58 | 33.53 | 30 | 3659.58 | 47.53 | – |
| Cardiovascular diseases (390–429, 440–459) | ||||||
| EAR-LNT modela [#1] | 3693.73 | 0 | 17 | 3727.73 | 0 | 0.3619 |
| ERR-quadratic modela [#2] | 3694.05 | 0.32 | 17 | 3728.05 | 0.32 | 0.1918 |
| EAR-threshold model [#5], D th = 2.0 Gy | 3695.0 | 1.27 | 17 | 3729.0 | 1.27 | 0.1379 |
| EAR-step model [#6], D th = 2.19 Gy | 3695.66 | 1.93 | 17 | 3729.66 | 1.93 | 0.3084 |
| Preston’s ERR-LNT model | 3709.71 | 15.98 | 30 | 3769.71 | 41.98 | – |
As a comparison, the values are also shown for Preston’s ERR-LNT models. Note that for cerebrovascular disease the three preferable models are ERR models; for cardiovascular diseases, the four preferable non-nested models are EAR models. The numbers in brackets refer to the eleven dose–responses depicted in Fig. 1
aContains an age-dependent dose-effect modifier