Research Workbench

Compare independent correlations

Compare two independent Pearson correlations on the Fisher z scale.

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Use correlations strictly inside −1 to 1 and whole sample sizes ≥4. Samples must be independent; overlapping or paired correlations are unsupported.

The starting values are hypothetical. Results update as you edit. Use aggregate or synthetic inputs only.

Calculation results

Fisher z-scale contrast
0.49041463
Contrast SE
0.19702907
Test z
2.489047
Approximate two-sided p
0.012808602

How to interpret the output

The contrast uses atanh(r1)−atanh(r2) with SE sqrt(1/(n1−3)+1/(n2−3)). A normal approximation assumes independent approximately bivariate-normal samples. It tests a correlation difference on the transformed scale; it is not a confidence interval for the raw difference.

Method reference

Source checked 2026-11-06. Read the reproducible calculator validation report.