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. 2010 Dec 28;30(9):903–921. doi: 10.1002/sim.4088

Table IV.

Results from simulation study with approximately 20 studies

µ τ2 Naïve random-effects Fixed-effect Random-effects BT Approx. semi-Bayes Semi-Bayes
0 0 Studies at stopping 19.7 16.3 22.5 22.5 22.8 24.2
P(benefit|µ) 0.097 0.028 0.023 0.023 0.021 0.016
Coverage, all CIs 80.7 93.9 94.7 94.8 95.2 96.3
Coverage, last CI 80.7 93.9 94.7 94.8 95.2 96.3
τ2 median 0.035 0 0.038 0.038 0.044 0.073
τ2 mean 0 0 0 0 0.0008 0.069
V at stopping 45.3 45.4 45.5 45.5 45.5 45.3
0.0625 Studies at stopping 20.3 20.3 24.1 24.1 24.4 24.8
P(benefit|µ) 0.122 0.040 0.036 0.032 0.031 0.025
Coverage, all CIs 76.1 91.5 93.1 93.2 93.6 95.0
Coverage, last CI 76.1 91.5 93.1 93.2 93.6 95.0
τ2 median 0.063 0 0.071 0.071 0.076 0.084
τ2 mean 0.0017 0 0.023 0.023 0.031 0.076
V at stopping 45.2 45.4 45.5 45.5 45.5 45.2
0.25 Studies at stopping 23.7 19.7 30.6 30.6 30.7 27.2
P(benefit|µ) 0.157 0.079 0.046 0.045 0.044 0.049
Coverage, all CIs 67.0 83.7 90.5 90.5 90.8 89.8
Coverage, last CI 67.0 83.7 90.5 90.5 90.8 89.8
τ2 median 0.17 0 0.21 0.21 0.21 0.14
τ2 mean 0.14 0 0.20 0.20 0.20 0.11
V at stopping 44.8 45.2 45.3 45.3 45.3 45.2
0.5 0 Studies at stopping 8.6 13.6 15.2 15.2 15.5 16.3
P(benefit|µ) 0.952 0.910 0.918 0.918 0.920 0.929
Coverage, all CIs 79.9 93.4 94.4 94.4 94.7 95.8
Coverage, last CI 95.8 97.8 97.8 97.8 97.9 98.7
τ2 median 0.067 0 0.049 0.049 0.058 0.081
τ2 mean 0 0 0 0 0.016 0.076
V at stopping 13.6 29.3 29.1 29.1 29.1 28.9
0.0625 Studies at stopping 9.0 13.6 16.2 16.2 16.4 16.6
P(benefit|µ) 0.952 0.897 0.913 0.913 0.914 0.919
Coverage, all CIs 75.8 91.7 93.3 93.4 93.9 95.4
Coverage, last CI 95.0 97.6 98.1 98.1 98.0 98.6
τ2 median 0.092 0 0.079 0.079 0.087 0.090
τ2 mean 0 0 0.015 0.015 0.028 0.081
V at stopping 13.1 29.2 28.8 28.8 28.8 29.0
0.25 Studies at stopping 10.1 13.2 19.8 19.9 20.0 17.8
P(benefit|µ) 0.950 0.878 0.908 0.908 0.907 0.896
Coverage, all CIs 66.0 84.0 90.8 90.8 90.7 89.6
Coverage, last CI 91.7 94.8 97.1 97.1 97.1 96.8
τ2 median 0.20 0 0.20 0.20 0.21 0.11
τ2 mean 0.10 0 0.17 0.17 0.18 0.14
V at stopping 11.3 28.0 27.8 27.8 27.9 28.1

BT, Biggerstaff and Tweedie.