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Paper #881

Títol:
Multiple correspondence analysis of a subset of response categories
Autors:
Michael Greenacre i Rafael Pardo
Data:
Agost 2005
Resum:
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.
Paraules clau:
Categorical data, correspondence analysis, questionnaire survey
Codis JEL:
C19, C88
Àrea de Recerca:
Estadística, Econometria i Mètodes Quantitatius
Publicat a:
chapter 8 of Multiple Correspondence Analysis and Related Methods, Chapman & Hall/CRC, 2006

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