Covariance and PCA for Categorical Variables

Details Covariance and PCA for Categorical Variables Covariance and PCA for Categorical Variables

2007-11-28

arxiv.org/abs/0711.4452v1

Computer Science

Learning

12 pages, 5 figures

Scientific paper

Covariances from categorical variables are defined using a regular simplex expression for categories. The method follows the variance definition by Gini, and it gives the covariance as a solution of simultaneous equations. The calculated results give reasonable values for test data. A method of principal component analysis (RS-PCA) is also proposed using regular simplex expressions, which allows easy interpretation of the principal components. The proposed methods apply to variable selection problem of categorical data USCensus1990 data. The proposed methods give appropriate criterion for the variable selection problem of categorical

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