This function calculates Cramer's V, a measure of association between two categorical variables. It is a scaled version of the chi-squared test statistic and lies between 0 and 1. Cramer's V is calculated as sqrt(chi-squared / (n * (k - 1))), where n is the number of observations and k is the smaller of the number of levels of the two variables.
The result of
Yates continuity correction is never applied. So in the 2x2 case, if
x is the result of
stats::chisq.test, make sure no continuity correction was applied. Otherwise, results can be inconsistent.
A numeric vector of length one.
Cramer, Harald. 1946. Mathematical Methods of Statistics. Princeton: Princeton University Press, page 282 (Chapter 21. The two-dimensional case).
tab <- table(mtcars[c("am", "vs")]) chi <- chisq.test(tab, correct = FALSE) cramersv(mtcars[c("am", "vs")]) cramersv(chi) cramersv(tab)
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