Table IV.
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.