Table 5. Prediction of ABC Total.
Correlation between ABC Total value and metal excretion using linear regression (no cross-validation & cross-validation) as well as nonlinear regression (cross-validation). Only the results for the highest R2 values are shown, but other combinations of metals frequently had similar results.
| # Variables | Linear Model | Nonlinear Model | |||
|---|---|---|---|---|---|
| Metal Combinations | Max R2 value | Metal Combinations | Max R2 value | ||
| Irritability | 1 | Cs | 0.257 | Cs | 0.254 |
| 2 | Cs/Hg | 0.300 | Cs/Hg | 0.306 | |
| 3 | As/Cs/Hg | 0.293 | Hg/Ni/Sn | 0.378 | |
| 4 | As/Cs/Hg/W | 0.280 | As/Hg/Ni/Sn | 0.401 | |
| 5 | As/Cs/Hg/Ni/W | 0.264 | Cd/Cs/Hg/Ni/Sn | 0.428 | |
| 6 | As/Cs/Hg/Ni/Tl/W | 0.244 | As/Cd/Hg/Ni/Sn/W | 0.490 | |
| 7 | Al/As/Cs/Hg/Ni/Tl/W | 0.223 | As/Cd/Cs/Hg/Ni/Pb/Sn | 0.477 | |
| 8 | Al/As/Cd/Cs/Hg/Ni/Tl/W | 0.190 | Al/As/Cd/Cs/Hg/Ni/Pb/Sn | 0.411 | |
| 9 | Al/As/Cd/Cs/Hg/Ni/Sn/Tl/W | 0.147 | Al/As/Cd/Cs/Hg/Ni Pb/Sn/W | 0.359 | |
| 10 | All metals included | 0.095 | All metals included | 0.252 | |
| Lethargy | 1 | As | 0.06 | As | 0.04 |
| 2 | As/Ni | 0.087 | As/Ni | 0.098 | |
| 3 | As/Ni/Sn | 0.082 | Al/As/Ni | 0.160 | |
| 4 | As/Ni/Sn/W | 0.072 | As/Cd/Ni/Pb | 0.142 | |
| 5 | As/Hg/Ni/Sn/W | 0.058 | Al/Cd/Cs/Hg/Ni | 0.126 | |
| 6 | As/Hg/Ni/Pb/Tl/W | 0.041 | Al/As/Cd/Ni/Pb/W | 0.105 | |
| 7 | As/Hg/Ni/Pb/Sn/Tl/W | 0.029 | Al/As/Cd/Ni/Pb/Tl/W | 0.079 | |
| 8 | Al/As/Hg/Ni/Pb/Sn/Tl/W | 0.008 | Al/As/Cd/Cs/Ni/Pb/Tl/W | 0.038 | |
| 9 | Al/As/Cs/Hg/Ni/Pb/Sn/Tl/W | −0.028 | Al/As/Cd/Hg/Ni/Pb/Sn/Tl/W | 0.015 | |
| 10 | All metals included | −0.096 | All metals included | −0.005 | |
| Stereotypy | 1 | Ni | 0.067 | Cs | 0.060 |
| 2 | As/Ni | 0.081 | Cs/Hg | 0.138 | |
| 3 | Ni/Pb/W | 0.091 | Cd/Cs/Hg | 0.173 | |
| 4 | As/Ni/Pb/W | 0.104 | As/Hg/Ni/W | 0.356 | |
| 5 | As/Hg/Ni/Sn/W | 0.058 | Al/As/Hg/Ni/W | 0.347 | |
| 6 | Cs/Hg/Ni/Pb/Tl/W | 0.129 | As/Cd/Cs/Hg/Ni/Sn | 0.398 | |
| 7 | As/Cs/Hg/Ni/Pb/Tl/W | 0.122 | Al/As/Cd/Cs/Hg/Ni/Pb | 0.418 | |
| 8 | Al/As/Cs/Hg/Ni/Pb/Tl/W | 0.110 | Al/As/Cd/Cs/Hg/Ni/Pb/Sn | 0.430 | |
| 9 | Al/As/Cs/Hg/Ni/Pb/Sn/Tl/W | 0.083 | Al/As/Cd/Cs/Hg/Ni/Pb/Sn/W | 0.430 | |
| 10 | All metals included | 0.032 | All metals included | 0.315 | |
| Hyperactivity | 1 | Cs | 0.251 | Sn | 0.370 |
| 2 | Cs/Sn | 0.266 | Cs/Sn | 0.431 | |
| 3 | Cs/Sn/W | 0.256 | Cs/Pb/Sn | 0.482 | |
| 4 | Cs/Sn/Tl/W | 0.238 | Cd/Cs/Pb/Sn | 0.520 | |
| 5 | Cs/Ni/Sn/Tl/W | 0.216 | Cd/Cs/Pb/Sn/W | 0.542 | |
| 6 | As/Cs/Ni/Sn/Tl/W | 0.189 | Cs/Hg/Ni/Pb/Sn/Tl | 0.587 | |
| 7 | Al/As/Cs/Ni/Sn/Tl/W | 0.164 | Cd/Cs/Hg/Pb/Sn/Tl/W | 0.560 | |
| 8 | Al/As/Cs/Ni/Pb/Sn/Tl/W | 0.137 | As/Cd/Cs/Hg/Ni/Pb/Sn/Tl | 0.522 | |
| 9 | Al/As/Cs/Hg/Ni/Pb/Sn/Tl/W | 0.091 | As/Cd/Cs/Hg/Ni/Pb/Sn/Tl/W | 0.452 | |
| 10 | All metals included | 0.035 | All metals included | 0.345 | |
| Inappropriate Speech | 1 | Cs | 0.035 | Sn | 0.102 |
| 2 | Cs/W | 0.045 | Sn/W | 0.145 | |
| 3 | Cs/Tl/W | 0.033 | Sn/Tl/W | 0.231 | |
| 4 | Cs/Pb/Tl/W | 0.018 | Cd/Pb/Sn/W | 0.341 | |
| 5 | As/Cs/Pb/Tl/W | −0.001 | Cs/Hg/Ni/Pb/Sn | 0.416 | |
| 6 | As/Cs/Pb/Sn/Tl/W | −0.028 | Al/As/Cs/Ni/Pb/W | 0.203 | |
| 7 | As/Cs/Hg/Ni/Sn/Tl/W | −0.057 | As/Cs/Hg/Ni/Sn/Tl/W | 0.157 | |
| 8 | As/Cs/Hg/Ni/Pb/Sn/Tl/W | −0.086 | As/Cd/Cs/Hg/Ni/Sn/Tl/W | 0.105 | |
| 9 | As/Cd/Cs/Hg/Ni/Pb/Sn/Tl/W | −0.134 | As/Cd/Cs/Hg/Ni/Pb/Sn/Tl/W | 0.058 | |
| 10 | All metals included | −0.185 | All metals included | 0.020 | |