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The exploratory analysis of qualitative variables by means of three-way analysis of two types of quantification matrices
Authors:Henk A L Kiers
Abstract:A comparison is made between a number of techniques for the exploratory analysis of qualitative variables. The paper mainly focuses on a comparison between multiple correspondence analysis (MCA) and Gower's principal co-ordinates analysis (PCO), applied to qualitative variables. The main difference between these methods is in how they deal with infrequent categories. It is demonstrated that MCA solutions can be dominated by infrequent categories, and that, especially in such cases, PCO is a useful alternative to MCA, because it tends to downweight the influence of infrequent categories. Apart from studying the difference between MCA and PCO, other alternatives for the analysis of qualitative variables are discussed, and compared to MCA and PCO.
Keywords:Qualitative variable analysis  Multiple correspondence analysis (MCA)  Principal co-ordinates analysis (PCO)
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