Table 4:
Coefficients of selected features and test mean squared prediction error for a prostate data (with p = 36 main effects and two-way interactions)
| Variable | BAR | Lasso | SCAD | MCP | Adaptive Lasso | Elastic Net |
|---|---|---|---|---|---|---|
| lcavol | 0.573 | 0.560 | 0.637 | 0.627 | 0.594 | 0.264 |
| lweight | 0.020 | 0.056 | ||||
| Age | −0.028 | −0.073 | −0.149 | −0.077 | −0.053 | |
| lbph | 0.070 | |||||
| svi | 0.125 | 0.422 | 0.440 | 0.141 | 0.090 | |
| lcp | 0.001 | |||||
| gleason | 0.013 | |||||
| (lcavol)×(lweight) | 0.068 | |||||
| (lcavol)×(age) | 0.036 | |||||
| (lcavol)×(svi) | 0.341 | 0.216 | 0.233 | 0.150 | ||
| (lcavol)×(gleason) | 0.196 | |||||
| (lweight)×(gleason) | 0.315 | 0.238 | 0.243 | 0.305 | 0.259 | 0.171 |
| (age)×(lbph) | 0.184 | 0.277 | 0.282 | 0.194 | 0.098 | |
| (age)×(svi) | 0.045 | |||||
| (lbph)×(gleason) | 0.021 | |||||
| (svi)×(gleason) | 0.030 | 0.090 | ||||
| (lcp)×(pgg45) | −0.019 | −0.067 | ||||
| Tuning | ξn = 44.45 | λ = 0.08 | γ = 3.7 | γ = 3 | ξ = 1.16 | λ1 = 0.06 |
| Parameters | λn = 0.1 | λ = 0.08 | λ = 0.07 | λ = 0.21 | λ2 = 0.1 | |
| Number of Selected Features | 3 | 7 | 6 | 6 | 7 | 16 |
| Test Error | 0.461 | 0.484 | 0.587 | 0.583 | 0.513 | 0.498 |