26 Pages Posted: 15 Nov 2005
Date Written: November 2005
In the analysis of multivariate categorical data, typically the analysis of questionnaire data, it is often advantageous, for substantive and technical reasons, to analyse a subset of response categories. In multiple correspondence analysis, where each category is coded as a column of an indicator matrix or row and column of Burt matrix, it is not correct to simply analyse the corresponding submatrix of data, since the whole geometric structure is different for the submatrix. A simple modification of the correspondence analysis algorithm allows the overall geometric structure of the complete data set to be retained while calculating the solution for the selected subset of points. This strategy is useful for analysing patterns of response amongst any subset of categories and relating these patterns to demographic factors, especially for studying patterns of particular responses such as missing and neutral responses. The methodology is illustrated using data from the International Social Survey Program on Family and Changing Gender Roles in 1994.
Keywords: Categorical data, correspondence analysis, questionnaire survey
JEL Classification: C19, C88
Suggested Citation: Suggested Citation
Greenacre, Michael and Pardo, Rafael, Multiple Correspondence Analysis of a Subset of Response Categories (November 2005). Available at SSRN: https://ssrn.com/abstract=847647 or http://dx.doi.org/10.2139/ssrn.847647