Publication bias | N | τ2 | I2 (%) | All | Egger | Rank | Harbord | Peters | Schwarzer | Arc-Egger | Arc-rank | Trim |
---|---|---|---|---|---|---|---|---|---|---|---|---|
None | 10 | 0.02 | 17 | 0.06 | 0.06 | 0.06 | 0.06 | 0.06 | 0.06 | 0.06 | 0.06 | 0.06 |
None | 10 | 0.12 | 56 | 0.10 | 0.10 | 0.10 | 0.09 | 0.10 | 0.10 | 0.10 | 0.10 | 0.10 |
None | 10 | 0.90 | 90 | 0.10 | 0.10 | 0.10 | 0.10 | 0.10 | 0.10 | 0.10 | 0.10 | 0.10 |
None | 20 | 0.02 | 17 | 0.07 | 0.07 | 0.07 | 0.07 | 0.07 | 0.07 | 0.07 | 0.07 | 0.07 |
None | 20 | 0.12 | 56 | 0.08 | 0.08 | 0.08 | 0.08 | 0.08 | 0.08 | 0.08 | 0.08 | 0.08 |
None | 20 | 0.90 | 90 | 0.08 | 0.08 | 0.08 | 0.08 | 0.08 | 0.08 | 0.08 | 0.08 | 0.08 |
None | 50 | 0.02 | 17 | 0.06 | 0.06 | 0.06 | 0.06 | 0.06 | 0.06 | 0.06 | 0.06 | 0.06 |
None | 50 | 0.12 | 56 | 0.06 | 0.06 | 0.06 | 0.06 | 0.06 | 0.06 | 0.06 | 0.06 | 0.06 |
None | 50 | 0.90 | 90 | 0.06 | 0.06 | 0.06 | 0.06 | 0.06 | 0.06 | 0.06 | 0.06 | 0.06 |
None | 100 | 0.02 | 17 | 0.07 | 0.06 | 0.06 | 0.07 | 0.07 | 0.07 | 0.07 | 0.07 | 0.07 |
None | 100 | 0.12 | 56 | 0.06 | 0.06 | 0.06 | 0.06 | 0.06 | 0.06 | 0.06 | 0.06 | 0.06 |
None | 100 | 0.90 | 90 | 0.06 | 0.06 | 0.06 | 0.06 | 0.06 | 0.06 | 0.06 | 0.06 | 0.06 |
RR=4 | 10 | 0.02 | 17 | 0.11 | 0.11 | 0.11 | 0.11 | 0.11 | 0.11 | 0.11 | 0.11 | 0.11 |
RR=4 | 10 | 0.12 | 56 | 0.22 | 0.22 | 0.22 | 0.22 | 0.22 | 0.22 | 0.22 | 0.22 | 0.22 |
RR=4 | 10 | 0.90 | 90 | 0.41 | 0.41 | 0.42 | 0.41 | 0.41 | 0.42 | 0.41 | 0.41 | 0.41 |
RR=4 | 20 | 0.02 | 17 | 0.14 | 0.14 | 0.14 | 0.14 | 0.14 | 0.14 | 0.14 | 0.14 | 0.14 |
RR=4 | 20 | 0.12 | 56 | 0.29 | 0.28 | 0.29 | 0.28 | 0.28 | 0.29 | 0.28 | 0.28 | 0.29 |
RR=4 | 20 | 0.90 | 90 | 0.61 | 0.61 | 0.61 | 0.61 | 0.60 | 0.61 | 0.61 | 0.61 | 0.61 |
RR=4 | 50 | 0.02 | 17 | 0.21 | 0.21 | 0.21 | 0.21 | 0.21 | 0.21 | 0.21 | 0.21 | 0.21 |
RR=4 | 50 | 0.12 | 56 | 0.54 | 0.53 | 0.54 | 0.53 | 0.53 | 0.54 | 0.53 | 0.53 | 0.54 |
RR=4 | 50 | 0.90 | 90 | 0.91 | 0.91 | 0.91 | 0.91 | 0.91 | 0.91 | 0.91 | 0.91 | 0.91 |
RR=4 | 100 | 0.02 | 17 | 0.35 | 0.35 | 0.35 | 0.34 | 0.35 | 0.35 | 0.35 | 0.35 | 0.35 |
RR=4 | 100 | 0.12 | 56 | 0.81 | 0.80 | 0.81 | 0.80 | 0.80 | 0.81 | 0.80 | 0.80 | 0.81 |
RR=4 | 100 | 0.90 | 90 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 |
RR=10 | 10 | 0.02 | 17 | 0.25 | 0.25 | 0.25 | 0.25 | 0.25 | 0.25 | 0.25 | 0.25 | 0.25 |
RR=10 | 10 | 0.12 | 56 | 0.54 | 0.53 | 0.54 | 0.54 | 0.53 | 0.54 | 0.53 | 0.54 | 0.54 |
RR=10 | 10 | 0.90 | 90 | 0.79 | 0.79 | 0.79 | 0.79 | 0.79 | 0.79 | 0.79 | 0.79 | 0.79 |
RR=10 | 20 | 0.02 | 17 | 0.37 | 0.37 | 0.37 | 0.37 | 0.37 | 0.37 | 0.37 | 0.37 | 0.37 |
RR=10 | 20 | 0.12 | 56 | 0.77 | 0.77 | 0.77 | 0.77 | 0.77 | 0.77 | 0.77 | 0.77 | 0.77 |
RR=10 | 20 | 0.90 | 90 | 0.96 | 0.96 | 0.96 | 0.96 | 0.96 | 0.96 | 0.96 | 0.96 | 0.96 |
RR=10 | 50 | 0.02 | 17 | 0.71 | 0.71 | 0.71 | 0.71 | 0.71 | 0.71 | 0.71 | 0.70 | 0.71 |
RR=10 | 50 | 0.12 | 56 | 0.98 | 0.98 | 0.98 | 0.98 | 0.98 | 0.98 | 0.98 | 0.98 | 0.98 |
RR=10 | 50 | 0.90 | 90 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 |
RR=10 | 100 | 0.02 | 17 | 0.94 | 0.94 | 0.94 | 0.94 | 0.94 | 0.94 | 0.94 | 0.94 | 0.94 |
RR=10 | 100 | 0.12 | 56 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 |
RR=10 | 100 | 0.90 | 90 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 |
The column ‘All’ shows the type I error rates for the test for the mean effect size based on all samples. The remaining columns show the type I error rates based on meta-analyses, in which no publication bias was detected by the test in the column heading.