Table 10.
The averages and standard deviations (in parentheses) of MSE for Example 3. The second column for each competing method is the mean squared error efficiency.
| (p, ρ) | σ2 | SRP | EN | LASSO | Ridge | SPLS | SCAD | MCP | ||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| (100, 0.5) | 1 | 7.55 (3.91) | 12.0 (4.81) | 0.62 | 14.75 (8.4) | 0.51 | 47 (5) | 0.16 | 17.9 (3.5) | 0.42 | 56 (19) | 0.13 | 60 (18) | 0.12 |
| 10 | 29.8 (5.5) | 29.6 (5.4) | 1.01 | 35.0 (8.0) | 0.85 | 57 (7) | 0.52 | 33.6 (4.4) | 0.88 | 79 (19) | 0.37 | 84 (21) | 0.35 | |
| 20 | 46.3 (5.8) | 45.7 (5.5) | 1.01 | 56.2 (8.9) | 0.82 | 68 (8) | 0.68 | 48.7 (5.7) | 0.95 | 104 (22) | 0.44 | 108 (23) | 0.42 | |
| (100, 0.9) | 1 | 4.16 (0.92) | 5.48 (1) | 0.75 | 8.17 (2.2) | 0.51 | 21 (2) | 0.20 | 5.39 (0.75) | 0.77 | 22 (5) | 0.19 | 20 (4) | 0.20 |
| 10 | 16.3 (1.3) | 16.5 (1.4) | 0.98 | 19.9 (2.23) | 0.82 | 30 (4) | 0.54 | 17.0 (1.4) | 0.96 | 33 (6) | 0.5 | 29 (4) | 0.56 | |
| 20 | 27.5 (2.6) | 27.5 (2.6) | 1 | 32.8 (3.4) | 0.83 | 39.8 (6) | 0.69 | 28.0 (2.5) | 0.98 | 45 (6) | 0.61 | 41 (5) | 0.67 | |
| (300, 0.5) | 1 | 28.2 (6.7) | 31.7 (5.9) | 0.89 | 46 (11.3) | 0.61 | 39.8 (4.2) | 0.71 | 34.9 (4.1) | 0.81 | 95 (20) | 0.3 | 108 (23) | 0.26 |
| 10 | 42.8 (6.1) | 42.8 (6.0) | 1 | 54.1 (10.9) | 0.79 | 48.8 (4.1) | 0.88 | 45.7 (4.6) | 0.93 | 115 (25) | 0.37 | 123 (23) | 0.35 | |
| 20 | 57.9 (7.4) | 57.2 (6.5) | 1.01 | 69.8 (9.3) | 0.83 | 58.7 (5.4) | 0.99 | 57.5 (4.5) | 1.01 | 126 (26) | 0.50 | 147 (26) | 0.39 | |
| (300, 0.9) | 1 | 7.12 (1.06) | 8.22 (1.05) | 0.87 | 13.8 (3.0) | 0.52 | 10.4 (1.2) | 0.68 | 7.91 (0.81) | 0.90 | 22.4 (5.2) | 0.32 | 22.6 (4.3) | 0.32 |
| 10 | 18.1 (1.4) | 18.1 (1.5) | 1 | 22.4 (2.5) | 0.81 | 19.6 (1.8) | 0.92 | 18.2 (1.27) | 0.99 | 33 (5.6) | 0.54 | 31 (4.2) | 0.58 | |
| 20 | 29.0 (2.5) | 29.4 (2.4) | 0.99 | 35.0 (3.1) | 0.83 | 29.7 (2.7) | 0.98 | 28.9 (2.2) | 1 | 47.3 (7.2) | 0.61 | 45.1 (7.4) | 0.64 | |