Multi-way contingency tables with uniform margins
Methodology
2024-04-09 v1
Abstract
We study the problem of transforming a multi-way contingency table into an equivalent table with uniform margins and same dependence structure. Such a problem relates to recent developments in copula modeling for discrete random vectors. Here, we focus on three-way binary tables and show that, even in such a simple case, the situation is quite different than for two-way tables. Many more constraints are needed to ensure a unique solution to the problem. Therefore, the uniqueness of the transformed table is subject to arbitrary choices of the practitioner. We illustrate the theory through some examples, and conclude with a discussion on the topic and future research directions.
Cite
@article{arxiv.2404.04343,
title = {Multi-way contingency tables with uniform margins},
author = {Elisa Perrone and Roberto Fontana and Fabio Rapallo},
journal= {arXiv preprint arXiv:2404.04343},
year = {2024}
}