Title: Cramer’s V
Course: UGQuants (SSPS) > Section: Association for Nominal and Ordinal Variables

Cramer’s V

Whilst Phi works only for 2x2 tables, Cramer’s V is a measure of association between nominal level variables in tables that are larger than 2x2.  Like Phi it provides us with a correlation coefficient that we can use to estimate the strength of the relationship between our two variables and also like Phi it varies between 0 and 1. The formula for Cramer’s V is as follows:

Where

X² is the value of chi square

N is the total number of cases

K is the number of rows or columns, whichever is smaller

We interpret the output the same way we would for Phi.  A Cramer’s V of .242, for example, would indicate a weak relationship between two variables of interest.