What is the Chi-Square test?

It checks if there is a significant difference between the expected frequencies and the observed frequencies in one or more categories.

Goodness of Fit vs Independence?

Goodness of Fit determines if a sample likely comes from a specific distribution. Test of Independence checks if two variables in a contingency table are related.

What are Degrees of Freedom (df)?

For Goodness of Fit, df = (categories - 1). For Independence (r x c table), df = (rows - 1) * (cols - 1).

Chi-Square Calculator

Calculate Chi-Square statistic and p-value for Goodness of Fit or Independence.

Observed Frequencies

Comma separated counts (e.g. 10, 20, 30)

Expected Frequencies

Comma separated counts (same count as observed)

Significance Level (α)

Chi-Square Statistic (χ²)

0

p-value = 1

Not Significant

Observed data does not differ significantly from expected (p >= 0.05).

Degrees of Freedom

P-Value

Documentation

Formula

Chi-Square

Expected (2x2)

Frequently Asked Questions

How to Use

About the Chi-Square

What it calculates

This chi-square solves mathematical and statistical problems using standard formulas. Perform Goodness of Fit and Independence tests.

When to use it

Use for homework, data analysis, exam prep, or quick verification of manual calculations.

Example

Adjust the inputs above to model your specific scenario with the Chi-Square.

Explore More

Chi-Square Calculator

0

Not Significant

Formula

About the Chi-Square

Related Calculators

ANOVA (One-Way)

p-value

Relative Risk

T-Test

Z-Score

Z-Test