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Chi-Square Goodness-of-Fit Statistic Calculator

χ² = Σ (Oᵢ − Eᵢ)² / Eᵢ for up to six categories.

Compute the Pearson chi-square goodness-of-fit statistic from up to six (observed, expected) pairs: χ² = Σ (O − E)² / E. Use 0 for both O and E in unused slots. Degrees of freedom default to k − 1.

Daniel Oh By Daniel Oh
Published Last reviewed 1 min read

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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 (Oᵢ − Eᵢ)² / Eᵢ

In depth

Compute the Pearson chi-square goodness-of-fit statistic from up to six (observed, expected) pairs: χ² = Σ (O − E)² / E. Use 0 for both O and E in unused slots. Degrees of freedom default to k − 1.