Table 4:
Results of Example 3 based on the simulated datasets.
| Bias |
EmpSD | SE | Cov | Freq | Power |
||||
|---|---|---|---|---|---|---|---|---|---|
| Oracle | Fused | Z18 | Fused | Fused | M09 | ||||
|
| |||||||||
| n = 300, p = 1000 | |||||||||
| −0.05 | 0.06 | 0.59 | 0.34 | 0.36 | 0.94 | 0.06 | 0.00 | ||
| β2 = φ1(τ ) | 0.11 | 0.37 | 1.01 | 0.52 | 0.51 | 0.89 | 0.71 | 0.20 | 0.00 |
| 0.04 | −0.20 | −0.05 | 0.80 | 0.72 | 0.89 | 0.87 | 0.06 | ||
| 0.08 | 0.14 | 0.27 | 0.65 | 0.50 | 0.90 | 0.77 | 0.36 | ||
| β11 = φ10(τ ) | 0.10 | −0.20 | −0.36 | 0.62 | 0.51 | 0.91 | 0.67 | 0.19 | 0.00 |
| 0.16 | 0.06 | −0.03 | 0.56 | 0.52 | 0.90 | 0.10 | 0.00 | ||
| β21 = 1.5 | 0.03 | 0.03 | 0.04 | 0.25 | 0.23 | 0.95 | 0.65 | 1.00 | 0.77 |
| β41 = 2 | 0.00 | −0.00 | 0.02 | 0.23 | 0.25 | 0.93 | 0.93 | 1.00 | 0.99 |
| β61 = 2.5 | 0.09 | 0.07 | 0.19 | 0.21 | 0.26 | 0.94 | 0.99 | 1.00 | 1.00 |
|
| |||||||||
| n = 700, p = 1000 | |||||||||
| 0.02 | 0.04 | 0.27 | 0.21 | 0.23 | 0.94 | 0.06 | 0.00 | ||
| β2 = φ1(τ ) | 0.17 | 0.30 | 0.79 | 0.37 | 0.40 | 0.88 | 0.96 | 0.27 | 0.01 |
| 0.15 | 0.08 | 0.35 | 0.51 | 0.51 | 0.90 | 1.00 | 0.77 | ||
| 0.07 | 0.09 | 0.18 | 0.33 | 0.33 | 0.91 | 0.99 | 0.92 | ||
| β11 = φ10(τ ) | −0.01 | −0.19 | −0.23 | 0.35 | 0.34 | 0.85 | 0.92 | 0.21 | 0.00 |
| −0.00 | −0.04 | −0.08 | 0.37 | 0.31 | 0.94 | 0.06 | 0.00 | ||
| β21 = 1.5 | −0.00 | 0.00 | 0.04 | 0.16 | 0.17 | 0.97 | 0.98 | 1.00 | 1.00 |
| β41 = 2 | −0.03 | −0.02 | −0.01 | 0.15 | 0.18 | 0.95 | 1.00 | 1.00 | 1.00 |
| β61 = 2.5 | 0.00 | 0.00 | 0.07 | 0.18 | 0.18 | 0.94 | 1.00 | 1.00 | 1.00 |
|
| |||||||||
| n = 700, p = 2000 | |||||||||
| 0.05 | 0.11 | 0.13 | 0.32 | 0.32 | 0.93 | 0.07 | 0.00 | ||
| β2 = φ1(τ ) | 0.09 | 0.34 | 0.87 | 0.46 | 0.44 | 0.91 | 0.93 | 0.09 | 0.02 |
| 0.25 | 0.36 | 1.77 | 0.53 | 0.46 | 0.87 | 0.74 | 0.58 | ||
| 0.13 | 0.25 | 0.73 | 0.45 | 0.35 | 0.84 | 1.00 | 0.83 | ||
| β11 = φ10(τ ) | 0.09 | −0.02 | 0.56 | 0.41 | 0.36 | 0.89 | 0.90 | 0.76 | 0.01 |
| −0.04 | −0.30 | −0.13 | 0.36 | 0.34 | 0.85 | 0.15 | 0.00 | ||
| β21 = 1.5 | 0.01 | 0.01 | 0.03 | 0.18 | 0.21 | 0.98 | 0.98 | 1.00 | 1.00 |
| β41 = 2 | 0.01 | 0.03 | −0.07 | 0.22 | 0.20 | 0.91 | 0.99 | 1.00 | 0.98 |
| β61 = 2.5 | −0.02 | −0.01 | −0.05 | 0.25 | 0.20 | 0.94 | 1.00 | 1.00 | 0.98 |