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. Author manuscript; available in PMC: 2013 Mar 1.
Published in final edited form as: J Am Stat Assoc. 2012 Jun 11;107(497):214–222. doi: 10.1080/01621459.2012.656014

Table 1.

Simulation results (p = 400)

Method Size P1 P2 AE
LS-Lasso 25.08 (0.60) 100% 6% 1.37(0.03)
Q-Lasso (τ = 0.5) 24.43 (0.97) 100% 6% 0.95 (0.03)
Q-Lasso (τ = 0.3) 29.83 (0.97) 99% 99% 1.67 (0.05)
Q-Lasso (τ = 0.7) 29.65 (0.90) 98% 98% 1.58 (0.05)

LS-ALasso 5.02 (0.08) 100% 0% 0.38 (0.02)
Q-Alasso (τ = 0.5) 4.66 (0.09) 100% 1% 0.18 (0.01)
Q-Alasso (τ = 0.3) 6.98 (0.20) 100% 92% 0.63 (0.02)
Q-Alasso (τ = 0.7) 6.43 (0.15) 100% 98% 0.61 (0.02)

LS-SCAD 5.83 (0.20) 100% 0% 0.37 (0.01)
Q-SCAD (τ = 0.5) 5.86 (0.24) 100% 0% 0.19 (0.01)
Q-SCAD (τ = 0.3) 8.29 (0.34) 99% 99% 0.32 (0.02)
Q-SCAD (τ = 0.7) 7.96 (0.30) 97% 97% 0.30 (0.02)

LS-MCP 5.43 (0.17) 100% 0% 0.37 (0.01)
Q-MCP (τ = 0.5) 5.33 (0.18) 100% 1% 0.19 (0.01)
Q-MCP (τ = 0.3) 6.76 (0.25) 99% 99% 0.31 (0.02)
Q-MCP (τ = 0.7) 6.66 (0.20) 97% 97% 0.29 (0.02)