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Statistics
Chi-Square Test Calculator
Calculate the chi-square test statistic and approximate p-value for a goodness-of-fit or independence test with observed and expected frequencies.

Chi-Square Test Calculator

Perform a chi-square goodness-of-fit test by entering observed and expected frequencies for up to 4 categories. Get the test statistic, degrees of freedom, and approximate p-value.

The chi-square test measures how well observed data matches expected data.

Formula:

χ² = Σ (Oᵢ - Eᵢ)² / Eᵢ

Where Oᵢ = observed frequency and Eᵢ = expected frequency for each category.

Degrees of freedom = number of categories - 1

A larger χ² value indicates a greater discrepancy between observed and expected. Compare the p-value to your significance level (typically 0.05) to determine statistical significance.

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