Statsly
categorical

Chi-square test

Test association between two categorical variables.

Requirements

  • two categorical variables
  • adequate expected cell counts

Avoid when

  • small 2x2 counts
  • paired binary data

Formula

χ² = Σ (O−E)²/E

Interpretation

Tests whether row and column proportions are independent.

Worked example

Test whether smoking category and diagnosis category are associated.

Open example datasets