What is Correspondence Analysis?

“Correspondence analysis provides tools for analyzing the associations between rows and columns of contingency tables. A contingency table is a two-entry frequency table where the joint frequencies of two qualitative variables are reported. For instance a (2 x 2) table could be formed by observing from a sample of n individuals two qualitative variables: the individual’s sex and whether the individual smokes. The table reports the observed joint frequencies. In general (n x p) tables may be considered.

“The main idea of correspondence analysis is to develop simple indices that will show the relations between the row and the column categories. These indices will tell us simultaneously which column categories have more weight in a row category and vice-versa. Correspondence analysis is also related to the issue of reducing the dimension of the table…” (p. 341)

Applied Multivariate Statistical Analysis

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