This measure normalises chi-squared to return a value between 0 and 1, where 0 means that two variables are perfectly unrelated and 1 means that they are perfectly related.
N= total number of cases in the chi-squared table
Min[(r-1),(c-1)] = number or rows - 1 or number of columns - 1, whichever is smaller
Cramer's V is given by
For a pair of biallelic markers, this simplifies to
References
- Press WH, Flannery BP, Teukolsky SA & Vetterling WT (1988) Are Two Distributions Different? Numerical Recipes in C. Cambridge University Press, pp 487-506.