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Research Medium #galbraith#radial-plot#meta-analysis

Galbraith Plot

Standardized effect on Y vs precision on X. Studies outside +-2 are outliers.

A free, animated galbraith plot you can read here or embed on any website, from Scrollchart.

Galbraith Plot

Galbraith (Radial) PlotZ-statistic vs. precision (1/SE): slope = pooled effect; outliers outside ±2 band drive heterogeneity02468Precision (1/SE)-4-2024Z-statistic (effect / SE)z=0+2 (outlier threshold)−2 (outlier threshold)slope = pooled effectHighlighted dots lie outside ±2 band: heterogeneity sources. Slope of blue line = pooled effect estimate across all studies.Torres / MüllerIvanova (outlier)

Z-statistic (effect / SE) on Y vs precision (1/SE) on X. The pooled effect is the slope of the regression line through the origin. Horizontal bands at +-2 mark outliers.

Good for

  • Identifying which individual studies are statistical outliers in a meta-analysis, driving heterogeneity disproportionately
  • Visually confirming the pooled effect estimate by reading the slope of the regression line through the origin
  • Teaching the conceptual link between z-statistics and precision weighting in random-effects meta-analysis models

Source & accuracy

This galbraith plot is an editorial illustration built to represent the concept accurately. Where it shows figures, they are typical or representative values chosen to make the relationship clear, not a single underlying dataset. The diagram and its explainer are reviewed and maintained centrally, and updated over time as understanding improves.

Standardized effects and precision boundaries

The Galbraith plot (also called radial plot) divides standardized effect size by its standard error, plotting it against precision (inverse standard error). Each study is a dot. The center origin represents zero effect; studies to the right show positive effects, those to the left show negative effects. Distance from the center reflects magnitude of standardization.

Horizontal dotted lines at +2 and -2 standard errors mark the conventional 95% boundary. Studies between these lines represent statistically consistent findings; studies outside them are outliers disagreeing significantly with the meta-analytic estimate. The plot efficiently flags heterogeneous studies in a single visualization.

Finding sources of study heterogeneity

A Galbraith plot crowded near the center with few outliers suggests homogeneous results. Plots scattered widely signal heterogeneity; outliers on one side or the other hint at subgroups or methodological differences driving disagreement. Investigating outlier studies often reveals design choices, patient populations, or intervention variations explaining divergence.

Unlike forest plots, which organize studies sequentially, Galbraith plots display all relationships simultaneously, making pattern spotting easier. A cluster of negative outliers versus a cluster of positive ones might suggest that study design, publication bias, or true variation by population drives the disagreement.

Embed this diagram

Add this animated galbraith plot to your own site. Copy one line of HTML, or use the embed builder for theme and sizing options.

Reference

What this is
A free, embeddable, animated galbraith plot for any website.
Who uses it
Researchers & academics, Science journalists, Medical educators, Health journalists.
How to embed
Copy one line of HTML. No signup. No watermark. Works in WordPress, Webflow, Ghost, Substack, plain HTML.
File size
iframe embed, ~80 KB gzipped (loads on demand, does not block your page paint).
License
Free forever. Editorial explainer text included; updated centrally over time.

Embed format options

Copy the universal HTML snippet, the WordPress shortcode, or an iframe fallback - see the WordPress plugin page for details. Any format keeps the same Core Web Vitals profile and the same explainer text.

Embed snippet
<div data-scrollchart="galbraith-plot" data-scrollchart-v="1"></div>
<script src="https://scrollchart.com/embed.js" async></script>

Frequently asked questions

Where can I get a free animated "Galbraith Plot" for my website?
Scrollchart provides "Galbraith Plot" as a free, embeddable animated diagram you can add to any website with one line of HTML. No signup is required and there is no watermark. The diagram and its explainer text are served from scrollchart.com, so the embed stays current without any maintenance on your end.
How do I embed a galbraith plot in a blog post or article?
Paste the one-line HTML snippet from the Scrollchart diagram page into your post editor. It works in WordPress, Webflow, Ghost, and plain HTML with no plugin required. The animated diagram and its explainer text load from scrollchart.com and render directly in your page DOM.