Table 3.
Proportion of cases where each method fails to select any features is shown along with averages of operating characteristics calculated across 500 simulations for each of 6 methods and 5 simulation scenarios, SI-SV (described in the text). Standard errors are order 0.001. The method with the highest average validation performance is highlighted.
| Method | ||||||
|---|---|---|---|---|---|---|
| Screening: | – | SIS | Lasso | Average | Index | Index |
| Final Model: | Lasso | Lasso | Lasso | Lasso | Count | Lasso |
| Proportion of cases when method fails to select any features | ||||||
| SI | 0.17 | 0.02 | 0.17 | 0.48 | 0.00 | 0.00 |
| SII | 0.05 | 0.00 | 0.19 | 0.00 | 0.00 | 0.00 |
| SIII | 0.11 | 0.00 | 0.14 | 0.00 | 0.00 | 0.00 |
| SIV | 0.05 | 0.00 | 0.12 | 0.45 | 0.00 | 0.00 |
| SV | 0.17 | 0.01 | 0.18 | 0.59 | 0.00 | 0.00 |
| Correlation between true and predicted ranks | ||||||
| SI | 0.26 | 0.21 | 0.18 | 0.00 | 0.13 | 0.20 |
| SII | 0.26 | 0.33 | 0.43 | 0.99 | 0.32 | 0.46 |
| SIII | 0.16 | 0.23 | 0.30 | 0.84 | 0.29 | 0.33 |
| SIV | 0.39 | 0.36 | 0.41 | 0.02 | 0.37 | 0.45 |
| SV | 0.17 | 0.20 | 0.23 | 0.01 | 0.23 | 0.24 |
| Manhattan distance relative to all same rank. | ||||||
| SI | 0.56 | 0.58 | 0.60 | 0.67 | 0.61 | 0.58 |
| SII | 0.56 | 0.53 | 0.48 | 0.06 | 0.53 | 0.47 |
| SIII | 0.60 | 0.57 | 0.54 | 0.25 | 0.54 | 0.53 |
| SIV | 0.50 | 0.51 | 0.49 | 0.66 | 0.51 | 0.47 |
| SV | 0.59 | 0.58 | 0.57 | 0.66 | 0.56 | 0.56 |
| Misclassification in 10% tails | ||||||
| SI | 0.29 | 0.32 | 0.38 | 0.50 | 0.40 | 0.36 |
| SII | 0.29 | 0.23 | 0.20 | 0.00 | 0.27 | 0.18 |
| SIII | 0.37 | 0.31 | 0.29 | 0.01 | 0.29 | 0.27 |
| SIV | 0.19 | 0.21 | 0.21 | 0.48 | 0.23 | 0.18 |
| SV | 0.35 | 0.33 | 0.34 | 0.50 | 0.34 | 0.33 |