Effect Size Calculator

Calculate pooled-SD Cohen’s d and an approximate Hedges correction, or square a supplied Pearson correlation.

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How this works

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Calculate result controls

Showing an example. Edit to see your own.

Plain decimals only; up to 25 digits and 12 decimal places.

Plain decimals only; up to 25 digits and 12 decimal places.

Plain decimals only; up to 25 digits and 12 decimal places.

Plain decimals only; up to 25 digits and 12 decimal places.

Association mode only. Enter a value from −1 to 1; it is not estimated from the group summaries.

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How to use Effect Size Calculator

  1. Choose two-group difference or correlation association.
  2. Enter sample counts, means and sample standard deviations, or r.
  3. Review the formula, direction and limitations.

Example: Effect Size Calculator

Effect Size Calculator: Cohen's d = 0.666666666667; approximate Hedges g = 0.653421633554.

You add
Calculation: groups Group 1 sample size: 20 Group 1 mean: 12 Group 1 sample standard deviation: 3 Group 2 sample size: 20 Group 2 mean: 10 Group 2 sample standard deviation: 3 Pearson correlation r: 0.5
You get
Cohen's d = 0.666666666667; approximate Hedges g = 0.653421633554. Cohen's d: 0.666666666667 Approximate Hedges g: 0.653421633554 Group 1 mean minus group 2 mean: 2 Pooled sample SD: 3 Degrees of freedom: 38 Approximate correction J: 0.980132450331 Direction is group 1 minus group 2. J = 1 − 3/(4df − 1) is an approximation. Independent-group pooled sample-SD model; no significance test or causal interpretation. Cohen's d | 0.666666666667 Approximate Hedges g | 0.653421633554 Group 1 mean minus group 2 mean | 2

Options

Independent groups
Enter each sample size, mean and sample standard deviation. The difference is group 1 minus group 2.
Association mode
Squaring a supplied Pearson r removes its sign. It does not establish causality or a clinical interpretation.

Supported inputs and limits

Independent group n: whole 2–1,000,000; means magnitude ≤10^12; sample SD 0–10^12; both zero refuses. r: −1 to 1. Plain decimals: 64 chars, 25 digits, 12 fractional places. Independent-group pooled sample-SD model with at least two observations per group. Hedges correction uses the stated approximation, not an exact gamma ratio. Zero pooled variance is undefined. No confidence intervals, p-values, causal or clinical interpretation.

Where your input is processed

This tool processes your input in this browser. Your text and files are not uploaded to UseFreeTools. Check this tool's limits for anything it may save on your device.

A standardized difference needs its model stated

The group calculation uses a pooled sample standard deviation and an approximate Hedges correction. It is for independent groups, not paired observations. Keep group order and the reported method with the number; the page does not add uncertainty intervals or judge whether a difference is practically meaningful.

Questions about Effect Size Calculator

What determines the sign of d?

Group one mean minus group two mean. Swapping the groups reverses the sign.

Is the Hedges correction exact?

No. It uses J = 1 - 3/(4df - 1), labeled as an approximation.

Does a larger effect prove causation?

No. An effect size describes these supplied summaries; study design, uncertainty and confounding remain separate.

Project manager: Tony Hines · Content updated 4 October 2026 · Report a problem