TABLE 2.
Performance of bootstrapping estimates of standard errors for multiple robust estimators under 500 Monte Carlo data (all numbers listed in the table are multiplied by 100)
| Setups | Method | β 0 | β 1 | β 2 | ||||||
|---|---|---|---|---|---|---|---|---|---|---|
| MCSE | BSE | CP | MCSE | BSE | CP | MCSE | BSE | CP | ||
| n = 400 | MULTI_100 | 11.56 | 11.84 | 95.6 | 16.58 | 16.39 | 93.8 | 14.36 | 14.54 | 95.0 |
| m = 0.3 | MULTI_010 | 11.49 | 11.79 | 95.8 | 16.53 | 16.38 | 93.8 | 14.43 | 14.56 | 95.2 |
| MULTI_001 | 11.50 | 11.81 | 95.8 | 16.57 | 16.39 | 93.8 | 14.39 | 14.55 | 94.8 | |
| MULTI_111 | 11.50 | 11.81 | 95.6 | 16.49 | 16.37 | 93.8 | 14.45 | 14.57 | 95.0 | |
| MULTI_011 | 11.49 | 11.80 | 95.6 | 16.47 | 16.37 | 94.0 | 14.47 | 14.57 | 94.8 | |
| n = 700 | MULTI_100 | 8.85 | 8.96 | 95.4 | 12.16 | 12.35 | 94.4 | 11.13 | 10.94 | 95.2 |
| m = 0.3 | MULTI_010 | 8.77 | 8.93 | 94.8 | 12.19 | 12.33 | 95.0 | 11.13 | 10.96 | 95.0 |
| MULTI_001 | 8.80 | 8.94 | 94.8 | 12.17 | 12.35 | 94.8 | 11.14 | 10.96 | 94.8 | |
| MULTI_111 | 8.78 | 8.94 | 94.8 | 12.18 | 12.32 | 94.6 | 11.13 | 10.96 | 95.0 | |
| MULTI_011 | 8.76 | 8.93 | 94.6 | 12.18 | 12.32 | 94.8 | 11.13 | 10.95 | 94.8 | |
| n = 400 | MULTI_100 | 13.17 | 13.54 | 94.2 | 17.98 | 17.99 | 94.6 | 18.06 | 17.53 | 93.2 |
| m = 0.5 | MULTI_010 | 13.10 | 13.48 | 94.6 | 18.00 | 18.00 | 94.8 | 18.13 | 17.56 | 93.4 |
| MULTI_001 | 13.10 | 13.48 | 94.6 | 17.97 | 17.97 | 94.8 | 18.10 | 17.54 | 93.4 | |
| MULTI_111 | 13.13 | 13.49 | 94.6 | 18.07 | 18.02 | 94.8 | 18.19 | 17.61 | 93.2 | |
| MULTI_011 | 13.07 | 13.47 | 94.6 | 18.00 | 18.00 | 94.6 | 18.12 | 17.57 | 93.4 | |
| n = 700 | MULTI_100 | 10.07 | 10.28 | 95.8 | 13.30 | 13.64 | 95.8 | 13.52 | 13.24 | 93.4 |
| m = 0.5 | MULTI_010 | 9.95 | 10.24 | 95.8 | 13.32 | 13.65 | 96.0 | 13.63 | 13.27 | 93.0 |
| MULTI_001 | 9.98 | 10.24 | 95.6 | 13.32 | 13.62 | 95.8 | 13.60 | 13.25 | 93.6 | |
| MULTI_111 | 9.93 | 10.24 | 95.6 | 13.30 | 13.65 | 95.8 | 13.57 | 13.27 | 93.4 | |
| MULTI_011 | 9.92 | 10.23 | 95.6 | 13.32 | 13.64 | 95.2 | 13.62 | 13.26 | 93.6 | |