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arXiv · 2202.01620

Some notes on Goodman's marginal-free correspondence analysis

Vartan Choulakian
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Abstract

In his seminal paper Goodman (1996) introduced marginal-free correspondence analysis; where his principal aim was to reconcile Pearson correlation measure with Yule's association measure in the analysis of contingency tables. We show that marginal-free correspondence analysis is a particular case of correspondence analysis with prespecified weights studied in the beginning of the 1980s by Benz\'ecri and his students. Furthermore, we show that it is also a particular first-order approximation of logratio analysis with uniform weights. Key words: Marginal-free correspondence analysis; logratio analysis; interactions; scale invariance; taxicab singular value decomposition.

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Vartan Choulakian. 2022-02-03. Some notes on Goodman's marginal-free correspondence analysis. https://arxiv.org/abs/2202.01620

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