TABLE 4.
NIEHS Test Dataset 2: Main 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. For example, main effects of X1, X4, and interaction between X12 and Z3 are active.
| Main Effects Selected | |||||||||||||||||
| X1 | X2 | X3 | X4 | X5 | X6 | X7 | X8 | X9 | X10 | X11 | X12 | X13 | X14 | Z1 | Z2 | Z3 | |
| LASSO | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ||||
| HIERNET | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |||
| VANISH | ✓ | ✓ | ✓ | ✓ | |||||||||||||
| IFORM | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |||||||||||
| SNIF | ✓ | ✓ | ✓ | ✓* | ✓ | ✓ | |||||||||||
| Interaction Effects Selected | |||||||||||||||||
| LASSO | X10 × Z2 | X12 × Z3 | X7 × Z3 | X2 × Z3 | |||||||||||||
| HIERNET | X10 × Z2 | X12 × Z3 | X7 × Z3 | X2 × X13 | |||||||||||||
| VANISH | X12 × Z3 | X2 × Z3 | X2 × Z12 | X2 × X13 | X12 × X13 | ||||||||||||
| IFORM | X10 × Z2 | X12 × Z3 | X6 × Z3 | ||||||||||||||
| SNIF | X10 × Z2 | X12 × Z3 | |||||||||||||||