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Correspondence analysis of cumulative frequencies using a decomposition of Taguchi’s statistic. (English) Zbl 1220.62070

Summary: G. Taguchi’s statistic [Statistical analysis. Tokyo: Maruzen (Japanese) (1966)] has long been known to be a more appropriate measure of association for ordinal variables than the Pearson chi-squared statistic. Therefore, there is some advantage in using Taguchi’s statistic for performing correspondence analysis when a two-way contingency table consists of one ordinal categorical variable. This article explore the development of correspondence analysis using a decomposition of Taguchi’s statistic.

MSC:

62H20 Measures of association (correlation, canonical correlation, etc.)
62H17 Contingency tables
62H25 Factor analysis and principal components; correspondence analysis
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References:

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