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Chi-Square Independence Test Calculator

χ² = Σ(O−E)²/E — test independence in a contingency table.

Calculates the chi-square statistic for a 2×2 contingency table to test for independence between two categorical variables.

Published Last reviewed 1 min read

Inputs

Results

Enter values and click Calculate to see results.
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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

χ² = Σ(Observed − Expected)² / Expected; df = (r−1)(c−1)

In depth

Calculates the chi-square statistic for a 2×2 contingency table to test for independence between two categorical variables.