TABLE 2.
The empirical coverage probabilities (CovP) of the 95% confidence intervals and the median lengths (Length) of the various methods in the low event rate setting and moderate study-specific sample sizes
| (2a) α0 = 1.2,β0=10 | ||||
|---|---|---|---|---|
| K = 5 | K = 10 | K = 15 | K = 20 | |
| Method | CovP (Length) | CovP (Length) | CovP (Length) | CovP (Length) |
| Exact | 0.962 (0.222) | 0.955 (0.157) | 0.961 (0.116) | 0.960 (0.094) |
| MOM | 0.802 (0.122) | 0.882 (0.101) | 0.909 (0.087) | 0.920 (0.076) |
| DL-LGT | 0.864 (0.131) | 0.878 (0.091) | 0.840 (0.073) | 0.816 (0.063) |
| SJ-LGT | 0.890 (0.151) | 0.905 (0.107) | 0.882 (0.087) | 0.844 (0.076) |
| DL-ASIN | 0.832 (0.136) | 0.850 (0.102) | 0.836 (0.085) | 0.819 (0.075) |
| SJ-ASIN | 0.838 (0.137) | 0.854 (0.104) | 0.844 (0.086) | 0.820 (0.075) |
| FE | 0.478 (0.058) | 0.426 (0.035) | 0.428 (0.028) | 0.425 (0.024) |
| (2b) α = 3.6,β=30 | ||||
| K = 5 | K = 10 | K = 15 | K = 20 | |
| Method | CovP (Length) | CovP (Length) | CovP (Length) | CovP (Length) |
| Exact | 0.990 (0.176) | 0.968 (0.103) | 0.959 (0.074) | 0.969 (0.061) |
| MOM | 0.836 (0.084) | 0.883 (0.066) | 0.914 (0.056) | 0.925 (0.049) |
| DL-LGT | 0.888 (0.096) | 0.906 (0.067) | 0.920 (0.055) | 0.922 (0.047) |
| SJ-LGT | 0.924 (0.106) | 0.938 (0.075) | 0.940 (0.062) | 0.945 (0.053) |
| DL-ASIN | 0.866 (0.096) | 0.892 (0.070) | 0.896 (0.058) | 0.900 (0.050) |
| SJ-ASIN | 0.887 (0.099) | 0.904 (0.072) | 0.907 (0.059) | 0.909 (0.052) |
| FE | 0.688 (0.059) | 0.626 (0.036) | 0.625 (0.028) | 0.642 (0.024) |