stats

Chi-Squared Test

Goodness-of-fit and test of independence up to 4×4 — χ² stat, df, p-value, per-cell contributions.

Test Configuration

Test Type

Observed Counts (comma separated)

Expected Distribution

Results

χ² statistic—

Degrees of freedom—

p-value—

Conclusion α = 0.05—

χ² = Σ(O−E)²/E · p via upper incomplete gamma Q(df/2, χ²/2)