Table 2. Simulation results of the confidence intervals' performance.
| Sample Size | Interval Type | τ | Mean Interval Width | Coverage | ||||
|---|---|---|---|---|---|---|---|---|
| β1 | β2 | t | β1 | β2 | t | |||
| n = 200 | Asymptotic | 0.5 | 0.542 | 1.042 | 2.752 | 0.897 | 0.902 | 0.812 |
| 0.7 | 0.573 | 1.149 | 2.989 | 0.905 | 0.906 | 0.810 | ||
| 0.8 | 0.631 | 1.296 | 3.289 | 0.900 | 0.893 | 0.811 | ||
| Bootstrapped | 0.5 | 0.811 | 2.011 | 4.212 | 0.977 | 0.968 | 0.965 | |
| 0.7 | 0.838 | 2.052 | 4.274 | 0.982 | 0.968 | 0.971 | ||
| 0.8 | 0.923 | 2.254 | 4.510 | 0.982 | 0.966 | 0.974 | ||
| n = 500 | Asymptotic | 0.5 | 0.326 | 0.568 | 1.748 | 0.905 | 0.914 | 0.853 |
| 0.7 | 0.344 | 0.614 | 1.854 | 0.904 | 0.911 | 0.853 | ||
| 0.8 | 0.379 | 0.664 | 2.024 | 0.901 | 0.904 | 0.838 | ||
| Bootstrapped | 0.5 | 0.438 | 0.908 | 2.775 | 0.972 | 0.964 | 0.954 | |
| 0.7 | 0.467 | 0.989 | 2.930 | 0.971 | 0.975 | 0.964 | ||
| 0.8 | 0.522 | 1.112 | 3.181 | 0.980 | 0.966 | 0.972 | ||