Association models in the weighted log ratio analysis for rates

Summary 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 initia...

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Bibliographic Details
Published in:Australian & New Zealand journal of statistics 2017-06, Vol.59 (2), p.169-185
Main Authors: D'Ambra, A., Crisci, A., D'Ambra, L.
Format: Article
Language:English
Subjects:
Contingency
Empirical analysis
Ratio analysis
RC model
Regression analysis
singular value decomposition
three factor association
two factor conditional association
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Summary:Summary 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. The paper considers the Goodman's association models in the Weighted Log Ratio Analysis context. We combine these two methods in order to analyse a rates matrix.
ISSN:1369-1473
1467-842X
DOI:10.1111/anzs.12185