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Meta-Regression

Fit a random-effects meta-regression with one moderator. Paule-Mandel τ² + Knapp-Hartung t(k-2) CIs (with max(1, …) floor per advanced-stats.md). Bubble plot with fitted line.

Studies

Data CSV: label, estimate, SE, moderator Four columns required. Lines starting with # are ignored.

Display Plot title Moderator label (x-axis) Effect label (y-axis)

Bubble plot

τ² via Paule-Mandel bisection; CIs use Knapp-Hartung t(k−2) with q = max(1, RSS/(k−2)) floor. Export the R script to replicate with metafor::rma(yi, vi, mods=~x, method="PM", test="knha").