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Cumulative Correspondence Analysis of Two-Way Ordinal Contingency Tables
Authors:Luigi D'Ambra  Eric J Beh
Institution:1. Department of Economics, Management, Institutions , University of Naples Federico II , Naples , Italy;2. School of Mathematical &3. Physical Sciences , University of Newcastle , Newcastle , Australia
Abstract:A suitable measure of association for two ordered variables is the doubly cumulative chi-squared statistic (Hirotsu, 1994 Hirotsu , C. ( 1994 ). Modelling and analysing the generalized interaction . Proc. Third IEEE Conf. Control Applic. 2 : 12831288 .Crossref] Google Scholar]). This statistic is obtained by considering the cumulative sum of cell frequencies across the variables. In this article, we explore the development of correspondence analysis which takes into account the presence of two ordered variables by partitioning the doubly cumulative chi-squared statistic.
Keywords:Doubly cumulative correspondence analysis  Hirotsu's chi-squared statistic  Ordered categories
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