Michael Greenacre and Rafael Pardo, Subset Correspondence Analysis: Visualizing Relationships Among a Selected Set of Response Categories From a Questionnaire Survey, Sociological Methods & Research 2006 35: 193-218.

This study shows how correspondence analysis may be applied^{ }to a subset of response categories from a questionnaire survey^{ }(e.g., the subset of undecided responses or the subset of responses^{ }for a particular category across several questions). The idea^{ }is to maintain the original relative frequencies of the categories^{ }and not reexpress them relative to totals within the subset,^{ }as would normally be done in a regular correspondence analysis^{ }of the subset. Furthermore, the masses and chi-square distances^{ }assigned to the subset of categories are the same as those in^{ }the correspondence analysis of the whole data set, which leads^{ }to a decomposition of total variance into parts if the whole^{ }data set is subdivided into disjoint subsets. This variant of^{ }the method, called subset correspondence analysis, is illustrated^{ }on data from the International Social Survey Programme’s^{ }Family and Changing Gender Roles survey.

Key Words: categorical data • correspondence analysis • missing data • principal component analysis • questionnaire survey • singular value decomposition

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