Chi-Square Calculator

Calculate chi-square statistics for goodness-of-fit and independence tests with detailed results including p-value and interpretation.

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About This Tool

This online chi-square calculator performs statistical hypothesis testing for goodness-of-fit and independence tests. Enter observed and expected frequencies to calculate the chi-square statistic, degrees of freedom, p-value, and determine statistical significance. The tool provides detailed interpretation of results including whether to reject or fail to reject the null hypothesis. Perfect for students, researchers, and data analysts working with categorical data.

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How to Use

Select test type (goodness-of-fit or independence)
Enter observed frequencies in the table
For goodness-of-fit, enter expected frequencies or percentages
Click 'Calculate Chi-Square' to run the test
View detailed results including test statistic, p-value, and interpretation
Use 'Reset' to clear all inputs and start over

Frequently Asked Questions

Find Quick Answers

What is a chi-square test used for?

Chi-square tests are used to determine if there is a significant association between categorical variables (independence test) or if observed frequencies match expected frequencies (goodness-of-fit test).

How do I interpret the p-value?

If p-value < 0.05 (common significance level), you reject the null hypothesis and conclude there is a significant association/difference. If p-value ≥ 0.05, you fail to reject the null hypothesis.

What are degrees of freedom in chi-square tests?

For goodness-of-fit: df = number of categories - 1. For independence test: df = (rows - 1) × (columns - 1). Degrees of freedom affect the critical value and p-value calculation.

Can this calculator handle 2x2 contingency tables?

Yes, the calculator supports 2x2 and larger contingency tables for independence tests. Simply enter observed frequencies for each cell.

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