TABLE 1.
The empirical coverage probabilities (CovP) of the 95% confidence intervals and the median lengths (Length) of the various methods in the rare-event rate setting and moderate study-specific sample sizes
| (1a) α0 = 1.2,β0=75 | ||||
|---|---|---|---|---|
| K = 5 | K = 10 | K = 15 | K = 20 | |
| Method | CovP (Length) | CovP (Length) | CovP (Length) | CovP (Length) |
| Exact | 0.962 (0.040) | 0.954 (0.028) | 0.958 (0.023) | 0.950 (0.019) |
| MOM | 0.821 (0.025) | 0.85 (0.018) | 0.876 (0.016) | 0.900 (0.014) |
| DL-LGT | 0.882 (0.032) | 0.848 (0.021) | 0.831 (0.017) | 0.841 (0.015) |
| SJ-LGT | 0.958 (0.037) | 0.958 (0.023) | 0.961 (0.019) | 0.970 (0.016) |
| DL-ASIN | 0.792 (0.026) | 0.751 (0.018) | 0.699 (0.015) | 0.648 (0.013) |
| SJ-ASIN | 0.822 (0.028) | 0.781 (0.019) | 0.734 (0.016) | 0.684 (0.014) |
| FE | 0.890 (0.024) | 0.790 (0.015) | 0.788 (0.011) | 0.786 (0.010) |
| (1b) α0 = 3.6,β0=30 | ||||
| K = 5 | K = 10 | K = 15 | K = 20 | |
| Method | CovP (Length) | CovP (Length) | CovP (Length) | CovP (Length) |
| Exact | 0.978 (0.039) | 0.98 (0.025) | 0.976 (0.018) | 0.971 (0.015) |
| MOM | 0.874 (0.024) | 0.903 (0.015) | 0.920 (0.012) | 0.920 (0.011) |
| DL-LGT | 0.898 (0.031) | 0.837 (0.019) | 0.769 (0.015) | 0.714 (0.012) |
| SJ-LGT | 0.959 (0.034) | 0.961 (0.021) | 0.964 (0.017) | 0.958 (0.014) |
| DL-ASIN | 0.858 (0.025) | 0.840 (0.017) | 0.812 (0.014) | 0.776 (0.012) |
| SJ-ASIN | 0.878 (0.028) | 0.877 (0.019) | 0.854 (0.015) | 0.814 (0.013) |
| FE | 0.948 (0.026) | 0.914 (0.015) | 0.905 (0.011) | 0.906 (0.010) |