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Cohen's d (effect size) calculator

Standardised difference between two group means, in pooled standard deviations.

What this calculator does

Cohen's d (effect size) works out standardised difference between two group means, in pooled standard deviations. Enter your own figures above and the answer updates as you type: nothing is fixed in the code, so the result reflects exactly the numbers you supply.

The formula this calculator evaluates is printed under the tool and explained below, so you can check the working by hand or reuse it in a spreadsheet.

The formula

Formulad = (x̄₁ − x̄₂) / sp; sp = √[((n₁−1)s₁² + (n₂−1)s₂²) / (n₁+n₂−2)]

The inputs explained

FieldWhat to enter
Group 1 meanA number. Starts at 85.
Group 1 standard deviationA number. Starts at 12.
Group 1 sizeA number. Starts at 30.
Group 2 meanA number. Starts at 78.
Group 2 standard deviationA number. Starts at 14.
Group 2 sizeA number. Starts at 28.

Worked examples

Every figure in the tables below is produced by this page’s own calculator at build time, so the numbers and the tool always agree. Select any row to load that scenario.

How the answer changes with group 1 mean

Every other input is held at the calculator’s starting values while group 1 mean varies. Select any row to load that scenario into the calculator.

How the answer changes with group 1 mean
Group 1 meanCohen's dPooled standard deviationMagnitude
42.5-2.73013.003Large
63.75-1.09613.003Large
850.538313.003Medium
1283.84513.003Large
1707.07513.003Large
25513.61313.003Large