Unlock the Secrets of Categorical Data with Cramer's V Calculator

Measure the strength of association between two categorical variables effortlessly. Understand relationships and gain insights from your data.

Result:

Cramer's V:

Cramer's V Strength Visualization

The visualization below represents the strength of association indicated by the Cramer's V value.

0.0 (No Association) 0.5 (Moderate) 1.0 (Strong Association)

Understanding Cramer's V

Cramer's V is a measure of association between two nominal categorical variables. It ranges from 0 to 1, where 0 indicates no association and 1 indicates a perfect association. It is an adjusted measure of Chi-squared, normalized to provide a value between 0 and 1, regardless of the table dimensions.

Formula:

Cramer's V = √(χ² / n) min(k - 1, r - 1)

  • χ² is the Chi-squared statistic.
  • n is the total number of observations.
  • k is the number of columns in the contingency table.
  • r is the number of rows in the contingency table.

Interpretation:

General guidelines for interpreting Cramer's V:

  • 0.00 - 0.10: Very weak association
  • 0.10 - 0.20: Weak association
  • 0.20 - 0.40: Moderate association
  • 0.40 - 0.60: Relatively strong association
  • 0.60 - 1.00: Strong association