Correspondence Analysis for Assessing Departures from Perfect Symmetry Using the Cressie–Read Family of Divergence Statistics-Reference-Cited by-同舟云学术

Correspondence Analysis for Assessing Departures from Perfect Symmetry Using the Cressie–Read Family of Divergence Statistics

Published:2024-07-02 Issue:7 Volume:16 Page:830
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Beh Eric J.¹²^ORCID,Lombardo Rosaria³^ORCID

Affiliation:

1. National Institute for Applied Statistics Research Australia (NIASRA), University of Wollongong, Wollongong, NSW 2522, Australia

2. Centre for Multi-Dimensional Data Visualisation (MuViSU), Stellenbosch University, Stellenbosch 7602, South Africa

3. Department of Economics, University of Campania “Luigi Vanvitelli”, 80100 Capua, Italy

Abstract

Recently, Beh and Lombardo (2022, Symmetry, 14, 1103) showed how to perform a correspondence analysis on a two-way contingency table where Bowker’s statistic lies at the numerical heart of this analysis. Thus, we showed how this statistic could be used to visually identify departures from perfect symmetry. Interestingly, Bowker’s statistic is a special case of the symmetry version of the Cressie–Read family of divergence statistics. Therefore, this paper presents a new framework for visually assessing departures from perfect symmetry using a second-order Taylor series approximation of the Cressie–Read family of divergence statistics.

Publisher

MDPI AG

Link

https://www.mdpi.com/2073-8994/16/7/830/pdf

Reference34 articles.

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