DerSimonian–Laird random-effects synthesis
Estimate a method-of-moments between-study variance and normal-approximation pooled interval.
Your entries stay in this page’s memory and are not submitted to us. Downloads are generated locally. Reloading or leaving the page clears your entries. Do not enter patient information.
Use 3–100 independent studies, positive SEs and a common analysis scale. Ratio effects must be entered on the log scale.
The starting values are hypothetical. Results update as you edit. Use aggregate or synthetic inputs only.
Calculation results
- DL tau squared
- 0.14793103
- Cochran Q
- 16.065574
- Random-effects mean
- 0.24826759
- Pooled SE
- 0.23890614
- Normal 95% lower
- -0.21997984
- Normal 95% upper
- 0.71651503
How to interpret the output
DerSimonian–Laird tau² is max(0,(Q−(k−1))/C). The pooled interval uses normal critical values and does not incorporate uncertainty in tau². With few studies this can be optimistic; consider REML and an appropriate small-sample method in dedicated software. No prediction interval is supplied.
Method referenceSource checked 2026-11-06. Read the reproducible calculator validation report.