“Bias in Meta-Analysis Detected by a Simple, Graphical Test”, Matthias Egger, George Davey Smith, Martin Schneider, Christoph Minder1997-09-13 (, ; backlinks; similar)⁠:

Objective: Funnel plots (plots of effect estimates against sample size) may be useful to detect bias in meta-analyses that were later contradicted by large trials. We examined whether a simple test of asymmetry of funnel plots predicts discordance of results when meta-analyses are compared to large trials, and we assessed the prevalence of bias in published meta-analyses.

Design: MEDLINE search to identify pairs consisting of a meta-analysis and a single large trial (concordance of results was assumed if effects were in the same direction and the meta-analytic estimate was within 30% of the trial); analysis of funnel plots from 37 meta-analyses identified from a hand search of 4 leading general medicine journals 1993–6 and 38 meta-analyses from the second 1996 issue of the Cochrane Database of Systematic Reviews.

Main Outcome Measures: Degree of funnel plot asymmetry as measured by the intercept from regression of standard normal deviates against precision.

Results: In the 8 pairs of meta-analysis and large trial that were identified (five from cardiovascular medicine, one from diabetic medicine, one from geriatric medicine, one from perinatal medicine) there were 4 concordant and 4 discordant pairs. In all cases discordance was due to meta-analyses showing larger effects. Funnel plot asymmetry was present in 39⁄1 discordant pairs but in none of concordant pairs. In 14 (38%) journal meta-analyses and 5 (13%) Cochrane reviews, funnel plot asymmetry indicated that there was bias.

Conclusion: A simple analysis of funnel plots provides a useful test for the likely presence of bias in meta-analyses, but as the capacity to detect bias will be limited when meta-analyses are based on a limited number of small trials the results from such analyses should be treated with considerable caution.