The Cochran-Mantel-Haenszel (CMH) test, developed in the 1950s, is a classic health research, especially epidemiology and other fields which dichotomous polytomous variables are frequent. This nonparametric test makes it possible to measure check effect of an antecedent variable X on outcome Y, statistically controlling third Z that acts as confounding relationship between Y. Both Y measured qu...

1. Informatics and Mathematical Modelling Department, Technical University of Denmark, Copenhagen. Richard Petersens Plads, Bygning 305, 2800 Lyngby, Denmark. 2. Institut des Sciences de l’Évolution (UM2-CNRS-IRD), Université Montpellier 2, Place Eugène Bataillon, CC 065, Montpellier cedex 34095, France. Running title: Dismantling the Mantel tests. ∗ Corresponding author: [email protected] Word c...