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Chi-Squared Observed vs Expected Test Calculator

χ² = Σ(O−E)²/E — goodness-of-fit test statistic.

Calculates the chi-squared test statistic for a goodness-of-fit test from up to five categories with observed and expected frequencies.

Nadia Almasri By Nadia Almasri
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 (O_i − E_i)² / E_i; df = categories − 1

In depth

Calculates the chi-squared test statistic for a goodness-of-fit test from up to five categories with observed and expected frequencies.