Cramer's V Calculator

Calculate Cramer's V







Formula

The formula to calculate Cramer's V is:

\[ V = \sqrt{\frac{X^2 / n}{k - 1}} \]

Where:

What is Cramer's V?

Cramer's V is a statistical measure used to determine the strength of association between two nominal variables in a contingency table. Named after Harald Cramer, it provides a value between 0 and 1, where 0 indicates no association and 1 indicates a perfect association. It is a chi-square-based measure of correlation and is considered a more robust measure than the chi-square statistic alone, as it takes into account the sample size and the number of categories in the variables.

Example Calculation

Let's assume the following values:

Using the formula:

\[ V = \sqrt{\frac{10.5 / 100}{\min(3, 4) - 1}} = \sqrt{\frac{0.105}{2}} \approx 0.23 \]

Cramer's V is approximately 0.23.