Skip to main content
. 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 4.

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 small study-specific sample sizes

(2a) α = 1.2,β=10
K = 5 K = 10 K = 15 K = 20
Method CovP (Length) CovP (Length) CovP (Length) CovP (Length)
Exact 0.970 (0.229) 0.962 (0.146) 0.960 (0.119) 0.960 (0.104)
MOM 0.834 (0.160) 0.859 (0.110) 0.894 (0.095) 0.900 (0.086)
DL-LGT 0.920 (0.189) 0.882 (0.133) 0.860 (0.110) 0.869 (0.095)
SJ-LGT 0.960 (0.215) 0.964 (0.148) 0.968 (0.121) 0.974 (0.104)
DL-ASIN 0.914 (0.151) 0.882 (0.107) 0.888 (0.091) 0.874 (0.079)
SJ-ASIN 0.930 (0.169) 0.927 (0.120) 0.934 (0.099) 0.916 (0.086)
FE 0.840 (0.154) 0.803 (0.098) 0.823 (0.077) 0.814 (0.065)
(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 (0.218) 0.983 (0.134) 0.981 (0.102) 0.975 (0.087)
MOM 0.906 (0.155) 0.912 (0.100) 0.922 (0.079) 0.926 (0.069)
DL-LGT 0.924 (0.177) 0.881 (0.116) 0.831 (0.093) 0.774 (0.080)
SJ-LGT 0.974 (0.198) 0.973 (0.133) 0.968 (0.107) 0.970 (0.092)
DL-ASIN 0.967 (0.145) 0.931 (0.095) 0.920 (0.076) 0.900 (0.066)
SJ-ASIN 0.974 (0.162) 0.957 (0.110) 0.955 (0.089) 0.948 (0.077)
FE 0.934 (0.154) 0.900 (0.098) 0.910 (0.076) 0.914 (0.065)