Chi-Square Test Calculator
Perform chi-square goodness of fit and independence tests
Goodness of Fit
Critical Values Reference
| df | α = 0.10 | α = 0.05 | α = 0.01 |
|---|---|---|---|
| 1 | 2.706 | 3.841 | 6.635 |
| 2 | 4.605 | 5.991 | 9.21 |
| 3 | 6.251 | 7.815 | 11.345 |
| 4 | 7.779 | 9.488 | 13.277 |
| 5 | 9.236 | 11.07 | 15.086 |
| 6 | 10.645 | 12.592 | 16.812 |
| 7 | 12.017 | 14.067 | 18.475 |
| 8 | 13.362 | 15.507 | 20.09 |
| 9 | 14.684 | 16.919 | 21.666 |
| 10 | 15.987 | 18.307 | 23.209 |
About Chi-Square Tests
Goodness of Fit Test
Tests whether observed frequencies match expected frequencies. Use this when you want to determine if your sample data fits a particular distribution.
Test of Independence
Tests whether two categorical variables are independent. Use this to determine if there is a relationship between two variables in a contingency table.
Assumptions
- Expected frequency ≥ 5 in each cell
- Observations are independent
- Data are counts (not percentages)
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