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Association models in the weighted log ratio analysis for rates
Authors:A D'Ambra  A Crisci  L D'Ambra
Institution:1. Department of Economics, University of the Campania ‘Luigi Vanvitelli’, Capua (CE), Italy;2. Department of Law and Economic Sciences, Pegaso Telematic University, Naples, Italy;3. Department of Economics, Management and Institutions, University of Naples, Federico II, Naples, Italy
Abstract:In this paper we consider Goodman's association models and weighted log ratio analysis (LRA). In particular, by combining these two methods, we obtain different weighted log ratio analyses that we can extend to analyse a rates matrix, obtained by calculating the ratio between two initial multidimensional contingency tables. Our approach is illustrated by an empirical study. The selection of the model, to be analysed through the weighted LRA plot, is carried out by means of Poisson regression on rates.
Keywords:RC model  singular value decomposition  three factor association  two factor conditional association
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