Table 3 Dose‒response relationship models of pack years exposure and relative risks of lung cancer caused by smoking
Models | Functions | AIC | BIC |
|---|---|---|---|
Piecewise linear model 1 | \(0<x\le 30,y=0.45+0.1434\times x\) \(x>30, y=4.75\) | 4.20 | 32.58 |
Piecewise linear model 2 | \(0<x\le 45, y=0.45+0.1192\times x\) \(x>45,y=5.81\) | -128.00 | -165.00 |
Power function model 1 | \(y={(1+x)}^{0.4205}\) | -69.33 | -106.11 |
Power function model 2 | \(y=({(58.43+x)/58.43)}^{3.07}\) | -56.30 | -93.11 |
Power function model 3 | \(y=1+0.0194\times {x}^{1.4465}\) | -88.68 | -124.45 |
Exponential model 1 | \(y=3.5-3.704\times {0.909}^{x}\) | -23.09 | -59.87 |
Exponential model 2 | \(y=1.2655\times {1.0342}^{x}\) | -35.13 | -71.90 |
Exponential model 3 | \(y=-0.6+0.98\times {\mathrm{e}}^{(x+20)/34.7}\) | -45.10 | -81.88 |
IER model 1 | \(y=1+89.95\times (1-{\mathrm{e}}^{-0.001\times x}\) | -311.12 | -347.89 |
IER model 2 | \(y=1+7.2324\times (1-{\mathrm{e}}^{-0.2697\times {x}^{0.0497}})\) | -285.40 | -321.17 |