English

A Multi-Way Correlation Coefficient

Methodology 2020-03-06 v1

Abstract

Pearson's correlation is an important summary measure of the amount of dependence between two variables. It is natural to want to generalise the concept of correlation as a single number that measures the inter-relatedness of three or more variables e.g. how `correlated' are a collection of variables in which non are specifically to be treated as an `outcome'? In this short article, we introduce such a measure, and show that it reduces to the modulus of Pearson's rr in the two dimensional case.

Keywords

Cite

@article{arxiv.2003.02561,
  title  = {A Multi-Way Correlation Coefficient},
  author = {Benjamin M. Taylor},
  journal= {arXiv preprint arXiv:2003.02561},
  year   = {2020}
}

Comments

10 pages, 5 figures