Table 2 Average number and percentage of biologically relevant variables in the model with S N R=0.5 and (β j =0.1,j=1,2,…20)
Over 100 runs | Adaptive lasso | B1 | B2 | B3 |
|---|---|---|---|---|
Average number of selected variables | 41 | 41 | 41 | 41 |
q=10 and ρ=0.1 | ||||
Average number of Biologically relevant variables | 12 | 20 | 15 | 14 |
Average percentage of Biologically relevant variables | 29.3 % | 48.8 % | 36.6 % | 34.1 % |
Standard deviation | 9.1 | 0.86 | 1.24 | 3.11 |
q=20and ρ=0.25 | ||||
Average number of Biologically relevant variables | 12 | 38 | 34 | 29 |
Average percentage of Biologically relevant variables | 29.3 % | 92.7 % | 82.9 % | 70.7 % |
Standard deviation | 9.1 | 0.85 | 1.22 | 3.08 |
q=30and ρ=0.3 | ||||
Average number of Biologically relevant variables | 12 | 39 | 35 | 30 |
Average percentage of Biologically relevant variables | 29.3 % | 95.1 % | 85.4 % | 73.2 % |
Standard deviation | 9.1 | 0.85 | 1.23 | 3.09 |
q=40and ρ=0.4 | ||||
Average number of Biologically relevant variables | 12 | 39 | 36 | 31 |
Average percentage of Biologically relevant variables | 29.3 % | 95.1 % | 87.8 % | 75.6 % |
Standard deviation | 9.1 | 0.84 | 1.22 | 3.07 |
Over 100 runs | Lasso | B1 | B2 | B3 |
Average number of selected variables | 53 | 53 | 53 | 53 |
q=10 and ρ=0.1 | ||||
Average number of Biologically relevant variables | 12 | 24 | 18 | 16 |
Average percentage of Biologically relevant variables | 22.6 % | 45.3 % | 34.0 % | 30.2 % |
Standard deviation | 10.2 | 0.99 | 1.55 | 3.94 |
q=20and ρ=0.25 | ||||
Average number of Biologically relevant variables | 12 | 46 | 39 | 34 |
Average percentage of Biologically relevant variables (%) | 22.6 % | 86.8 % | 72.1 % | 64.2 % |
Standard deviation | 10.2 | 0.97 | 1.53 | 3.89 |
q=30and ρ=0.3 | ||||
Average number of Biologically relevant variables | 12 | 47 | 39 | 36 |
Average percentage of Biologically relevant variables (%) | 22.6 % | 88.7 % | 73.6 % | 67.9 % |
Standard deviation | 10.2 | 0.97 | 1.53 | 3.89 |
q=40and ρ=0.4 | ||||
Average number of Biologically relevant variables | 12 | 48 | 40 | 37 |
Average percentage of Biologically relevant variables (%) | 22.6 % | 90.6 % | 75.5 % | 69.8 % |
Standard deviation | 10.2 | 0.96 | 1.51 | 3.86 |