Association and Simpson conversion in $2 \times 2 \times 2$ contingency tables
Probability
2021-04-21 v3 Combinatorics
Abstract
We study a generalisation of Simpson reversal (also known as Simpson's paradox or the Yule-Simpson effect) to contingency tables and characterise the cases for which it can and cannot occur with two combinatorial-geometric lemmas. We also present a conjecture based on some computational experiments on the expected likelihood of such events.
Cite
@article{arxiv.1809.04633,
title = {Association and Simpson conversion in $2 \times 2 \times 2$ contingency tables},
author = {Svante Linusson and Matthew T. Stamps},
journal= {arXiv preprint arXiv:1809.04633},
year = {2021}
}
Comments
16 pages, 4 figures, 4 tables