Cramer’s V Calculator

Do You want to calculate the strength of association between two categorical variables? Use the Cramer’s V Calculator, it uses a formula based on the chi-square statistic and provides a value between 0 and 1.

What is Cramer’s V?

Cramer’s V is a way to measure the relationship between two nominal variables. It shows how strong the connection is, where 0 means no association and 1 means a perfect association. Cramer’s V is especially helpful when working with larger contingency tables, like those bigger than 2×2.

How to Use the Calculator

Using the Cramer’s V Calculator involves these steps:

1. Enter the chi-square value (X²).
2. Enter the total sample size (n).
3. Enter the number of rows or columns in the contingency table (k).
4. Click the “Calculate” button to find Cramer’s V.

How to Calculate Cramer’s V?

The following steps outline how to calculate Cramer’s V using the formula:

$V = \sqrt{\frac{X^2 / n}{k – 1}}$

V=k−1X2/n

Variables

Solution

Let’s calculate Cramer’s V for a given chi-square value, sample size, and contingency table.

1. Identify the values:

• Chi-square value (X²) = 18.5
• Total sample size (n) = 100
• Number of rows or columns (k) = 3

2. Apply the formula:

$V = \sqrt{\frac{X^2 / n}{k – 1}}$

3. Calculate the values:

$V = \sqrt{\frac{18.5 / 100}{3 – 1}}$

$V = \sqrt{\frac{0.185}{2}}$

$V = \sqrt{0.0925}$

$V \approx 0.304$

Thus, Cramer’s V is approximately 0.304, indicating a moderate association between the variables.

Input Example

FAQs