A new index to measure association between cat-egorical and ordinal variables

digital

Article

Magazine

STATISTICA & APPLICAZIONI

Section

Open Access

Title

A new index to measure association between cat-egorical and ordinal variables

Authors

Angelo M. Mineo, Mariantonietta Ruggieri

Publisher

Vita e Pensiero

Format

Article |

Pdf

Pages

Language

English

Online from

06-2016

Issn

1824-6672 (print) | 2283-6659 (digital)

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Description Readers' comments

In this paper a new index to analyse the dependence between categorical variables is presented and is compared to other measures of association, mainly based on the X2 Pearson’s statistic. The new index is compared to well-known measures of cograduation, as well. To restrict our comparisons, the domain we con-sider includes all the square contingency tables belonging to the same Fréchet class, that is all the contingency tables in which the marginal frequencies are given as fixed in both characters. Anyway, the new index is good even if there are no con-strain on the marginal distributions, but only a constrain on n, the total of the ob-servations.

Keywords: Fréchet class, association, cograduation, contingencies.

Authors biography

Angelo Marcello Mineo, Dipartimento di Scienze Statistiche e Matematiche “S. Vianelli”- University of Palermo – Viale delle Scienze, 90128 Palermo (e-mail: elio.mineo@dssm.unipa.it)
Mariantonietta Ruggieri, Dipartimento di Scienze Statistiche e Matematiche “S. Vianelli”- University of Palermo – Viale delle Scienze, 90128 Palermo (e-mail: ruggieri@dssm.unipa.it)

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