Table 3.
Type of effect size | Sample | Effect size | τ2 | Homogeneity | kfsa | Criterionb | |||||
---|---|---|---|---|---|---|---|---|---|---|---|
K | n | Hedges's g | 95%—CI | p | Q | p | I2 | ||||
Within-group effect | 24 | 1348 | 0.41 | (0.28, 0.55) | <0.00001 | 0.08 | 112.52 | <0.00001 | 80% | 1008 | 130 |
Excluding estimated ES (#) | 19 | 917 | 0.49 | (0.31, 0.67) | <0.00001 | 0.12 | 104.86 | <0.00001 | 83% | 912 | 105 |
Excluding studies N < 40 | 12 | 990 | 0.31 | (0.18, 0.44) | <0.00001 | 0.04 | 42.77 | <0.00001 | 74% | 360 | 70 |
Subgroup Franco | 3 | 103 | 1.32 | (1.05, 1.59) | <0.00001 | 0.00 | 0.92 | 0.63 | 0% | 393 | 25 |
Subgroup rest | 21 | 1245 | 0.29 | (0.19, 0.40) | <0.00001 | 0.03 | 53.68 | <0. 0001 | 63% | 588 | 115 |
Controlled effect | 19 | 1897 | 0.40 | (0.21, 0.58) | <0.0001 | 0.11 | 59.35 | <0.00001 | 70% | 722 | 105 |
Excluding estimated ES (#) | 16 | 1445 | 0.45 | (0.23, 0.68) | <0.0001 | 0.14 | 54.83 | <0.00001 | 73% | 704 | 90 |
Excluding studies n < 77 | 3 | 656 | 0.31 | (0.15, 0.46) | 0.0001 | 0.0 | 0.10 | 0.95 | 0% | 90 | 25 |
Subgroup Franco | 3 | 205 | 1.34 | (1.04, 1.65) | <0.00001 | 0.00 | 1.83 | 0.40 | 0% | 399 | 25 |
Subgroup rest | 16 | 1692 | 0.23 | (0.13, 0.33) | <0.00001 | 0.00 | 11.05 | 0.75 | 0% | 352 | 90 |
K, number of studies; N/n, number of participants; g, weighted mean effect size; CI, confidence interval; τ2, variance component; p, level of significance; Q, Q—Statistic.
kfs is the number of unavailable studies with null results, that would be required to reduce the overall result to an insignificant level.
If kfs is exceeding the criterion (5k + 10), an essential influence of availability bias is unlikely.