Table 2. Fixed and random effects selection and estimation in Example 2 when m = 8, N = 30 and design matrices for fixed and random effects overlap.
Random Effects | Fixed Effects | ||||||||
---|---|---|---|---|---|---|---|---|---|
Setting | Method | FNR (%) |
FPR | MRL2 | MRL1 | FNR (%) |
FPR | MRL2 | MRL1 |
d = 100 | Lasso-P | 11.83 | 9.50 | 0.532 | 0.619 | 62.67 | 0.41 | 0.841 | 0.758 |
q = 10 | SCAD-P | 0.50 | 1.07 | 0.298 | 0.348 | 0.83 | 0.03 | 0.142 | 0.109 |
p = 0.3 | SCAD-T | 3.83 | 0.00 | 0.522 | 0.141 | 0.33 | 0.02 | 0.102 | 0.082 |
d = 100 | Lasso-P | 23.67 | 7.64 | 0.524 | 0.580 | 59.17 | 0.41 | 0.802 | 0.745 |
q = 10 | SCAD-P | 1.83 | 0.71 | 0.308 | 0.352 | 0.67 | 0.05 | 0.141 | 0.109 |
p = -0.3 | SCAD-T | 3.17 | 0.00 | 0.546 | 0.141 | 0.17 | 0.02 | 0.095 | 0.078 |
d = 100 | Lasso-P | 9.83 | 10.07 | 0.548 | 0.631 | 60.33 | 0.48 | 0.844 | 0.751 |
q = 10 | SCAD-P | 1.67 | 0.50 | 0.303 | 0.346 | 0.17 | 0.05 | 0.138 | 0.110 |
p = 0.5 | SCAD-T | 5.00 | 0.00 | 0.532 | 0.149 | 0.50 | 0.02 | 0.113 | 0.091 |