The association in two-way ordinal contingency tables through global odds ratios

Ida Camminatiello (), Antonello D’Ambra and Luigi D’Ambra
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Ida Camminatiello: University of Campania L. Vanvitelli Corso Gran Priorato di Malta
Antonello D’Ambra: University of Campania L. Vanvitelli Corso Gran Priorato di Malta
Luigi D’Ambra: University of Napoli Federico II Monte Sant’Angelo

METRON, 2022, vol. 80, issue 1, No 3, 9-22

Abstract: Abstract Hirotsu’s statistic is a suitable measure for studying the association between two variables on an ordinal scale. For visualizing the nature of the association, such a statistic can be decomposed by performing doubly ordered cumulative correspondence analysis. An alternative measure for describing the association between two ordered variables could be global odds ratios. In this paper we consider a generalization of the doubly ordered cumulative correspondence analysis in order to represent the global odds ratios in the two-dimensional plot.

Keywords: Doubly cumulative table; Doubly ordered cumulative correspondence analysis; Global odds ratios; Hirotsu’s statistic; Satisfaction level (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s40300-021-00224-7

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