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Calculators/Statistics/McNemar's test
Statistics

McNemar's test calculator

Tests whether paired binary outcomes changed, using the two discordant-pair counts.

What this calculator does

McNemar's test works out tests whether paired binary outcomes changed, using the two discordant-pair counts. 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

Formulaχ² = (b − c)² / (b + c); continuity-corrected χ² = (|b − c| − 1)² / (b + c); df = 1

The inputs explained

FieldWhat to enter
Discordant pairs: positive → negative (b)A number. Starts at 10.
Discordant pairs: negative → positive (c)A number. Starts at 22.

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 discordant pairs: positive → negative (b)

Every other input is held at the calculator’s starting values while discordant pairs: positive → negative (b) varies. Select any row to load that scenario into the calculator.

How the answer changes with discordant pairs: positive → negative (b)
Discordant pairs: positive → negative (b)Continuity-corrected χ² (df = 1)p-value (corrected)Uncorrected χ²
59.4810.002110.704
7.55.6330.01766.533
103.7810.05184.500
150.97300.32391.324
200.02380.87740.0952
300.94230.33171.231