Chi-Square Test Calculator
Perform chi-square goodness of fit and independence tests. Calculate test statistics and p-values.
Test Type
Goodness of Fit Test
Critical Values Reference
dfα = 0.10α = 0.05α = 0.01
12.7063.8416.635
24.6055.9919.21
36.2517.81511.345
47.7799.48813.277
59.23611.0715.086
610.64512.59216.812
712.01714.06718.475
813.36215.50720.09
914.68416.91921.666
1015.98718.30723.209
About Chi-Square Tests

Goodness of Fit Test: Tests whether observed frequencies match expected frequencies.

Test of Independence: Tests whether two categorical variables are independent.

Assumptions:

  • Expected frequency ≥ 5 in each cell
  • Observations are independent
  • Data are counts (not percentages)

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