Table 2:
(Grouping effects) Estimated coefficients of BAR, Elastic Net, Lasso, SCAD, Adaptive Lasso, and MCP for a linear model with optimal tuning parameters selected by five-fold CV. The full solution paths are depicted in Figure 2.
| Parameter | BAR | Elastic Net | Lasso | SCAD | Adaptive Lasso | MCP |
|---|---|---|---|---|---|---|
| (Intercept) | −0.008 | −0.004 | −0.005 | 0.031 | −0.009 | 0.029 |
| β1 | 1.902 | 2.000 | 2.137 | 6.001 | 1.585 | 6.001 |
| β2 | 2.016 | 1.998 | 1.441 | 1.908 | ||
| β3 | 2.081 | 1.999 | 2.421 | 2.506 | ||
| β4 | 0.499 | 0.406 | 0.894 | 1.200 | 1.153 | 1.200 |
| β5 | 0.469 | 0.401 | 0.292 | 0.047 | ||
| β6 | 0.233 | 0.392 | 0.013 | |||
| β7 | −0.001 | |||||
| β8 | ||||||
| β9 | ||||||
| Tuning | ξn = 100 | λ1 = 0.017 | λ = 0.017 | γ = 3.7, | ξ = 18.68 | γ = 3, |
| parameters | λn = 0.043 | λ2 = 0.001 | λ = 0.044 | λ = 0.001 | λ = 10.861 | |
| CV Error | 0.038 | 0.045 | 0.331 | 0.048 | 0.043 | 0.330 |