Last updated: March 2, 2026 by Dr. David Park

Chi-Square Test for Independence

Formula

The chi-square test compares observed frequencies with expected frequencies to determine whether there is a statistically significant difference. It is widely used in hypothesis testing for categorical data.

A larger chi-square value indicates a greater discrepancy between observed and expected values, suggesting the variables may not be independent.

Common use cases:

  • Testing independence between categorical variables
  • Goodness-of-fit testing
  • A/B testing in marketing

Frequently Asked Questions

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Dr. David Park

Applied Mathematician, PhD Mathematics

David holds a PhD in Applied Mathematics from MIT. He has published research on numerical methods and computational algorithms used in engineering and scientific calculators.

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