Cramér's
is a measure of association between two categorical variables based on a contingency
table. For a table with
rows,
columns, sample size
,
and Pearson chi-squared statistic
, it is
The normalization gives . A value of 0 corresponds
to no observed association, while a value of 1 is attainable for complete association
in suitable tables.
For a table, Cramér's
equals the absolute value of the phi coefficient. As with
other effect sizes, its interpretation depends on the table dimensions and application.