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. Author manuscript; available in PMC: 2019 Nov 1.
Published in final edited form as: J Multivar Anal. 2018 Aug 23;168:334–351. doi: 10.1016/j.jmva.2018.08.007

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