Categories and Quantities

John C. Gower
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John C. Gower: The Open University, Department of Statistics

A chapter in Measurement and Multivariate Analysis, 2002, pp 1-12 from Springer

Abstract: Summary The rank of a matrix of categorical variables is defined. This may be used as a basis of multivariate methods for approximating categorical data in a similar way that the rank of a quantitative data matrix may be used to define standard methods such as multidimensional scaling, multiple correspondence analysis, principal components analysis and non-linear principal components analysis. Several problems are outlined that depend on the notion of categorical rank. The algorithmic tools for handling categorical rank need to be developed.

Keywords: Multidimensional Scaling; Correct Prediction; Neighbour Region; Multiple Correspondence Analysis; Prediction Region (search for similar items in EconPapers)
Date: 2002
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DOI: 10.1007/978-4-431-65955-6_1

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