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📊 Chi-Square Test of Independence
Contingency table · association between two categorical variables · Cramer's V effect size
The chi-square test of independence checks whether two categorical variables are associated, e.g. "is shift related to pass rate?" or "is supplier related to defect type?". Enter the row × column observed frequencies; the tool computes the chi-square statistic, p-value and effect size automatically.
Table Dimensions
Observed Frequency Matrix
Test Results
Chi-square χ²
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df
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p-value
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Cramer's V
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Expected Frequencies (E = row total × col total / grand total)
Standardized Residuals (|Z|>2 means notable deviation)
About Chi-Square Test Calculator
Chi-square test calculator: goodness-of-fit, independence and homogeneity tests, outputting χ², degrees of freedom and p-value with expected frequencies.
Learn more about this tool →
Hypothesis Testing
Proportion Test
Nonparametric Tests
Correspondence Analysis
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