2022Unpublished venueOpen access

The meta-plot: A graphical tool for interpreting the results of a meta-analysis

Marcel A. L. M. van Assen, Olmo R. van den Akker, Hilde Elisabeth Maria Augusteijn, Marjan Bakker, Michèle B. Nuijten, Anton Olsson-Collentine, Andrea H. Stoevenbelt, Jelte M. Wicherts, Robbie C. M. van Aert

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Abstract

The meta-plot is a descriptive visual tool for meta-analysis that provides information on the primary studies in the meta-analysis and the results of the meta-analysis. More precisely, the meta-plot portrays (i) the precision and statistical power of the primary studies in the meta-analysis, (ii) the estimate and confidence interval of a random-effects meta-analysis, (iii) the results of a cumulative random-effects meta-analysis yielding a robustness check of the meta-analytic effect size with respect to primary studies’ precision, and (iv) evidence of publication bias. After explaining the underlying logic and theory, the meta-plot is applied to two cherry-picked meta-analyses that appear to be biased and to ten meta-analyses randomly selected from the psychological literature. We recommend using the meta-plot in addition to any meta-analysis of common effect size measures, rather than variants of the funnel plot.

About this research paper

What this paper is about

The meta-plot is a descriptive visual tool for meta-analysis that provides information on the primary studies in the meta-analysis and the results of the meta-analysis. More precisely, the meta-plot portrays (i) the precision and statistical power of the primary studies in the meta-analysis, (ii) the estimate and confidence interval of a random-effects meta-analysis, (iii) the results of a cumulative random-effects meta-analysis yielding a robustness check of the meta-analytic effect size with respect to primary studies’ precision, and (iv) evidence of publication bias. After explaining the underlying logic and theory, the meta-plot is applied to two cherry-picked meta-analyses that appear to be biased and to ten meta-analyses randomly selected from the psychological literature. We recommend using the meta-plot in addition to any meta-analysis of common effect size measures, rather than variants of the funnel plot.

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Available abstract

The meta-plot is a descriptive visual tool for meta-analysis that provides information on the primary studies in the meta-analysis and the results of the meta-analysis. More precisely, the meta-plot portrays (i) the precision and statistical power of the primary studies in the meta-analysis, (ii) the estimate and confidence interval of a random-effects meta-analysis, (iii) the results of a cumulative random-effects meta-analysis yielding a robustness check of the meta-analytic effect size with respect to primary studies’ precision, and (iv) evidence of publication bias. After explaining the underlying logic and theory, the meta-plot is applied to two cherry-picked meta-analyses that appear to be biased and to ten meta-analyses randomly selected from the psychological literature. We recommend using the meta-plot in addition to any meta-analysis of common effect size measures, rather than variants of the funnel plot.

Key concepts: Meta-analysis, Funnel plot, Forest plot, Publication bias, Plot (graphics), Statistics, Random effects model, Confidence interval

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