Corrélation entre variables nominales, ordinales, métriques ou numériques

Abstract

Correlation between nominal, ordinal, metrical or numerical variables. A correlation coefficient is defined for the empirical joint distribution of two statistical variables, whatever be the a priori structure, nominal, ordinal, metrical or numerical of each other. Obtaining a common formalism for all these structures allows us to refine the analysis of correlation in terms of homogeneity (ordered variables), underlying orders (non-ordered variables) or induced order (mixed case).