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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 3.

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 small study-specific sample sizes

(2a) α = 1.2,β=75
K = 5 K = 10 K = 15 K = 20
Method CovP (Length) CovP (Length) CovP (Length) CovP (Length)
Exact 0.961 (0.098) 0.952 (0.046) 0.944 (0.035) 0.956 (0.029)
MOM 0.999 (0.115) 1.000 (0.068) 0.998 (0.054) 0.999 (0.045)
DL-LGT 0.696 (0.112) 0.308 (0.064) 0.088 (0.051) 0.026 (0.042)
SJ-LGT 0.696 (0.113) 0.308 (0.065) 0.088 (0.051) 0.026 (0.043)
DL-ASIN 0.944 (0.088) 0.796 (0.052) 0.573 (0.042) 0.285 (0.036)
SJ-ASIN 0.962 (0.088) 0.840 (0.054) 0.586 (0.042) 0.295 (0.036)
FE 0.964 (0.077) 0.968 (0.040) 0.960 (0.033) 0.950 (0.029)
(2b) α = 3.6,β=225
K = 5 K = 10 K = 15 K = 20
Method CovP (Length) CovP (Length) CovP (Length) CovP (Length)
Exact 0.962 (0.098) 0.964 (0.046) 0.956 (0.035) 0.964 (0.029)
MOM 1.000 (0.115) 1.000 (0.068) 0.998 (0.053) 0.999 (0.045)
DL-LGT 0.697 (0.112) 0.270 (0.064) 0.086 (0.050) 0.020 (0.042)
SJ-LGT 0.696 (0.113) 0.270 (0.065) 0.086 (0.050) 0.020 (0.043)
DL-ASIN 0.942 (0.088) 0.828 (0.053) 0.584 (0.042) 0.276 (0.036)
SJ-ASIN 0.958 (0.088) 0.853 (0.052) 0.598 (0.042) 0.285 (0.036)
FE 0.966 (0.077) 0.981 (0.040) 0.962 (0.033) 0.962 (0.029)