A topological approach of multiple correspondence analysis
نویسندگان
چکیده
منابع مشابه
Discriminant multiple correspondence analysis
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...
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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...
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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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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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ژورنال
عنوان ژورنال: Communications in Statistics: Case Studies, Data Analysis and Applications
سال: 2020
ISSN: 2373-7484
DOI: 10.1080/23737484.2020.1830733