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. Author manuscript; available in PMC: 2020 Nov 30.
Published in final edited form as: Stat Med. 2019 Dec 9;39(3):252–264. doi: 10.1002/sim.8396

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)