Directional nature of the product-moment correlation coefficient and some consequences.

ABSTRACT: Product-moment correlation coefficient (PMC) is usually taken as a symmetric measure of the association because it produces an equal estimate irrespective of how two variables in the analysis are declared. However, in case the other variable has or both have non-continuous scales and when the scales of the variables differ from each other, PMC is unambiguously a directional measure directed so that the variable with a wider scale (X) explains the order or response pattern in the variable with a narrower scale (g) and not in the opposite direction or symmetrically. If the scales of the variables differ from each other, PMC is also prone to give a radical underestimation of the association, that is, the estimates are deflated. Both phenomena have obvious consequences when it co

SUBMITTER: Metsamuuronen J 

PROVIDER: S-EPMC9619107 | biostudies-literature | 2022

REPOSITORIES: biostudies-literature