Cramer’s V Coefficient

Cramer’s V coefficient is used to measure the strength of association between two nominal variables. The value of Cramer’s V statistic satisfies the condition $0\leq V \leq 1$.

  • $V$ close to 0 indicate that there is a weak association between the two variables
  • $V$ close to 1 indicate that there is a strong association between the two variables.

$$ \begin{aligned} V &= \sqrt{ \frac{\chi^2 /n}{\min(c-1,r-1)} } \end{aligned} $$

where

  • $r$ : Number of rows
  • $c$ : Number of columns
  • $n$ : Total Sample size
  • $\chi^2$ : chi-square statistic
Cramer's V Coefficient Calculator
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