Tests for equality of proportions (related samples)

Tests for the equality of proportions of related samples and their properties and assumptions.

Test	Purpose
McNemar-Mosteller Exact	Test if two proportions are equal. Uses a binomial distribution and computes an exact p-value. The exact p-value is conservative, that is, the actual rejection rate is below the nominal significance level. Recommended for small sample sizes or sparse data.
Score Z	Test if two proportions are equal. Uses the score statistic and computes an asymptotic p-value. Note that the two-sided Score Z test is equivalent to McNemar's X² test.

Test

Purpose

McNemar-Mosteller Exact

Test if two proportions are equal.

Uses a binomial distribution and computes an exact p-value. The exact p-value is conservative, that is, the actual rejection rate is below the nominal significance level.

Recommended for small sample sizes or sparse data.

Score Z

Test if two proportions are equal.

Uses the score statistic and computes an asymptotic p-value.

Note that the two-sided Score Z test is equivalent to McNemar's X² test.

Related concepts

Equality of proportions hypothesis test

Exact and asymptotic p-values

Continuity correction

Available in Analyse-it Editions
Standard edition
Method Validation edition
Quality Control & Improvement edition
Ultimate edition