Table 2.
Bias and standard error (SE) of β̂1 and empirical power (PWR) for H0 : β1 = 0
| n | Censoring within τ |
Jung’s method | Optimal method | ||||
|---|---|---|---|---|---|---|---|
| Bias | SE | PWR | Bias | SE | PWR | ||
| (a) Under H0 : β1 = 0 | |||||||
| 100 | 10% | 0.042 | 0.616 | 0.054 | 0.042 | 0.613 | 0.058 |
| 20% | 0.003 | 0.715 | 0.033 | 0.004 | 0.708 | 0.045 | |
| 30% | 0.014 | 0.804 | 0.034 | 0.015 | 0.795 | 0.041 | |
| 200 | 10% | −0.015 | 0.430 | 0.047 | −0.015 | 0.428 | 0.048 |
| 20% | 0.035 | 0.495 | 0.045 | 0.035 | 0.493 | 0.051 | |
| 30% | 0.003 | 0.554 | 0.050 | 0.005 | 0.550 | 0.056 | |
| 300 | 10% | 0.012 | 0.350 | 0.040 | 0.012 | 0.350 | 0.042 |
| 20% | −0.001 | 0.400 | 0.046 | −0.001 | 0.399 | 0.049 | |
| 30% | 0.006 | 0.449 | 0.037 | 0.006 | 0.447 | 0.040 | |
| (b) Under H1 : β1 = 2 | |||||||
| 100 | 10% | 0.126 | 1.078 | 0.534 | 0.101 | 1.017 | 0.558 |
| 20% | 0.137 | 1.395 | 0.292 | 0.080 | 1.227 | 0.380 | |
| 30% | 0.146 | 1.696 | 0.136 | 0.108 | 1.426 | 0.278 | |
| 200 | 10% | 0.037 | 0.719 | 0.846 | 0.027 | 0.698 | 0.853 |
| 20% | 0.059 | 0.880 | 0.707 | 0.060 | 0.829 | 0.724 | |
| 30% | 0.145 | 1.099 | 0.542 | 0.097 | 0.982 | 0.590 | |
| 300 | 10% | 0.044 | 0.573 | 0.964 | 0.040 | 0.561 | 0.965 |
| 20% | 0.040 | 0.709 | 0.865 | 0.038 | 0.673 | 0.878 | |
| 30% | 0.065 | 0.848 | 0.732 | 0.050 | 0.785 | 0.769 | |