TABLE 3.
NIEHS Test Dataset 1: Effects Selected by each of the methods considered (for SNIF, ✓* indicates nonlinearity of the corresponding effect; for VANISH all the selected effects are nonlinear). True active effects are shown in bold (that is, the covariates X1, X2, X4, X5, X7, and Z have active effects.)
| Main effects | Interaction effects | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| X1 | X2 | X3 | X4 | X5 | X6 | X7 | Z | ||||
| LASSO | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | LASSO | X5 × X7 | (X4, X5) × Z | ||
| HIERNET | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | HIERNET | X5 × X7 | X5 × Z | ||
| VANISH | ✓ | ✓ | ✓ | ✓ | ✓ | VANISH | X5 × X7 | ||||
| IFORM | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | IFORM | X5 × X7 | X1 × X2 | ||
| SNIF | ✓* | ✓ | ✓ | ✓* | ✓ | SNIF | |||||