Attribute Selection in Correspondence Analysis of Incidence Matrices

W. J. Krzanowski

Journal of the Royal Statistical Society Series C, 1993, vol. 42, issue 3, 529-541

Abstract: An incidence matrix consists of frequencies for each of a number of attributes (in the columns) observed in each of a number of groups of observational units (in the rows). Three examples, from diverse applications, are provided. One way of analysing such matrices is by means of correspondence analysis, and this technique is illustrated on the three example data sets. In each case a geometrical configuration is derived in which the differences between the row profiles are best displayed. The close connection between the mathematics underlying both principal component analysis and correspondence analysis is then exploited, to obtain a method for selecting those columns of an incidence matrix which are primarily responsible for the highlighted row differences. This technique is applied to the three data sets. Some additional discussion concludes the paper.

Date: 1993
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