From Correspondence Analysis to Multiple and Joint Correspondence Analysis
نویسندگان
چکیده
منابع مشابه
From Correspondence Analysis to Multiple and Joint Correspondence Analysis
The generalization of simple (two-variable) correspondence analysis to more than two categorical variables, commonly referred to as multiple correspondence analysis, is neither obvious nor well-defined. We present two alternative ways of generalizing correspondence analysis, one based on the quantification of the variables and intercorrelation relationships, and the other based on the geometric...
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The problem of the proper dimension of the solution of a Multiple Correspondence Analysis (MCA) is discussed, based on both the re-evaluation of the explained inertia sensu Benzécri (Les Cahiers de l’Analyse des Données 4:377–379, 1979) and Greenacre (Multiple correspondence analysis and related methods, Chapman and Hall (Kluwer), Dordrecht, 2006) and a test proposed by Ben Ammou and Saporta (R...
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The proposed approach leads to analyzing the associations between a set of quantitative variables and several qualitative variables measured on a same set of individuals. In a decision-making context, the proposed method can be considered as a generalization of discriminant analysis to the multiple groups’ variables case. It’s described as a principal component analysis of the centres of gravit...
متن کاملMultiple Correspondence Analysis
Multiple correspondence analysis (MCA) is an extension of correspondence analysis (CA) which allows one to analyze the pattern of relationships of several categorical dependent variables. As such, it can also be seen as a generalization of principal component analysis when the variables to be analyzed are categorical instead of quantitative. Because MCA has been (re)discovered many times, equiv...
متن کاملMultiple taxicab correspondence analysis
We compare the statistical analysis of indicator matrices and Burt tables by correspondence analysis (CA) and taxicab correspondence analysis (TCA). There are two new results in this paper. First, TCA of a Burt table corresponds to a particular kind of CA of the indicator matrix based on the centroid decomposition. Second, the response patterns in multiple TCA will be represented as (number of ...
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ژورنال
عنوان ژورنال: SSRN Electronic Journal
سال: 2005
ISSN: 1556-5068
DOI: 10.2139/ssrn.847664