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Multiple Correspondence Analysis of a Subset of Response Categories

26 Pages Posted: 15 Nov 2005  

Michael Greenacre

Universitat Pompeu Fabra - Faculty of Economic and Business Sciences

Rafael Pardo

BBVA Foundation

Date Written: November 2005

Abstract

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

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

Michael John Greenacre (Contact Author)

Universitat Pompeu Fabra - Faculty of Economic and Business Sciences ( email )

Ramon Trias Fargas 25-27
Barcelona, 08005
Spain
34 93 542 25 51 (Phone)
34 93 542 17 46 (Fax)

Rafael Pardo

BBVA Foundation ( email )

Paseo de Recoletos, 10
Madrid, 28001
Spain

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