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Research Medium #meta-regression#moderator#bubble

Meta-Regression Bubble Plot

Effect size on Y vs study-level moderator on X. Each study a sized bubble.

A free, animated meta-regression bubble plot you can read here or embed on any website, from Scrollchart.

Meta-Regression Bubble Plot

Meta-Regression Bubble PlotModerator: mean age (years). Bubble size = study weight. Effect declines with age (slope = -0.012/yr, p = 0.003)203040506070Mean participant age (years)0.00.40.81.2Effect size (Hedges g)Regression slopeβ = –0.012 per yearp = 0.003, R² = 0.61Bubble size = inverse-variance weight (larger = more precise study)smalllarge

Effect size on Y, a continuous study-level moderator on X (e.g., dose, mean age, year). Bubbles sized by study weight; regression line shows the moderator-effect relationship.

Good for

  • Explaining why an intervention's effect size varies across trials by mapping it to a continuous study-level characteristic such as mean dose or baseline risk
  • Identifying the moderator threshold above or below which a treatment becomes clinically meaningful
  • Supporting pre-specified subgroup hypotheses in a systematic review with a continuous, study-level covariate

Source & accuracy

This meta-regression bubble 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.

Study-level predictors of varying effect sizes

Meta-regression extends meta-analysis by regressing effect size on study characteristics (moderators) like publication year, sample size, intervention dose, or population age. Each study becomes a dot, sized by precision, scattered across a moderator axis. A trend line slopes upward or downward, revealing whether the moderator predicts effect magnitude.

Unlike subgroup analysis, which divides studies into categories, meta-regression fits a continuous relationship. A moderator showing strong association (steep trend, tight scatter) suggests it explains heterogeneity; a flat trend suggests the characteristic is not predictive. This technique helps answer 'what type of study or population sees the largest effect?'

Understanding variation through study context

A positive slope on treatment duration might show that longer interventions produce larger effects, directing future research and practice toward optimal exposure. A zero slope on population age suggests treatment efficacy is age-independent, simplifying clinical application. Multiple moderators can be examined together or separately.

Meta-regression power depends on number of studies. With fewer than ten studies, precision is low and spurious associations arise. Fitted trends look clean but confidence intervals widen. Reporting both univariable and multivariable models, along with confidence intervals, prevents over-interpretation of weak patterns.

Embed this diagram

Add this animated meta-regression bubble 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 meta-regression bubble 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="meta-regression" data-scrollchart-v="1"></div>
<script src="https://scrollchart.com/embed.js" async></script>

Frequently asked questions

Where can I get a free animated "Meta-Regression Bubble Plot" for my website?
Scrollchart provides "Meta-Regression Bubble 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 meta-regression bubble 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.