Chi-Square Goodness of Fit Calculator

Enter observed and expected values for up to three categories to calculate the chi-square statistic for a goodness of fit test.

Statistical tool for educational use; consult a statistician for formal analysis.

Examples

  • Observed [20,30,50], Expected [25,35,40] ⇒ 4.21 χ²
  • Observed [10,20,30], Expected [10,15,25] ⇒ 2.67 χ²

FAQ

What is a high chi-square value?

A higher chi-square indicates a greater difference between observed and expected values.

How many categories can I use?

This calculator supports up to three categories.

Can expected values be zero?

No, expected counts must be greater than zero to avoid division by zero.

Additional Information

  • Chi-square tests compare observed data with theoretical expectations.
  • Degrees of freedom equal categories minus one.