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. Author manuscript; available in PMC: 2015 Sep 4.
Published in final edited form as: J Comput Graph Stat. 2014 May 16;24(2):416–438. doi: 10.1080/10618600.2014.907094

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