Topic

Chi-square and categorical data

Chi-square tests, Fisher’s exact test and McNemar’s test explained: expected counts, effect sizes such as Cramér’s V, and how to report them.

Chi-Square Test of Independence: Step-by-Step Guide with Example

Test whether two categorical variables are related, with a worked example, the expected-count rule, standardized residuals, Cramér's V and an APA write-up.

October 14, 20264 min read

Free Chi-square and categorical data tools

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Chi-Square Goodness of Fit CalculatorFree chi-square goodness of fit test: compare observed frequencies with equal or custom expected proportions. Expected counts, residuals and chart.Chi-Square Test of Independence CalculatorFree chi-square test calculator from raw data or a contingency table: expected counts, Yates correction, likelihood ratio, Cramér’s V and residuals.Fisher’s Exact Test CalculatorFree Fisher’s exact test calculator for 2×2 tables with two-sided and one-sided p-values, odds ratio and 95% confidence interval.McNemar Test CalculatorFree McNemar test calculator for paired binary data: chi-square with and without continuity correction, exact binomial p-value and odds ratio.