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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 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)