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An analysis and synthesis of multiple correspondence analysis, optimal scaling, dual scaling, homogeneity analysis and other methods for quantifying categorical multivariate data. (English) Zbl 0585.62104
It is shown that all the four approaches, viz. reciprocal averages, analysis of variance, principal component analysis and canonical analysis are equivalent for multiple correspondence analysis for scaling of categorical data.
The most interesting part of the paper, however, is the introduction of the ’duality diagram’ and the role it plays in the understanding of the geometry of multiple correspondence analysis and its synthesis. The duality diagram has indeed played a pivotal role in the development of this area of data analysis in the French literature.
Reviewer: J.S.Murty

MSC:
62H25 Factor analysis and principal components; correspondence analysis
62P15 Applications of statistics to psychology
62-07 Data analysis (statistics) (MSC2010)
Software:
OPSCAL
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References:
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