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Traitement des questionnaires avec non réponse. Analyse des correspondances avec marge modifiée et analyse multicanonique avec contrainte. (Treatment of questionnaires with nonresponse. Correspondence analysis with modified marginals and multicanonical analysis with constraints). (French) Zbl 0651.62055

We propose some variations of the classical methods of data analysis for analysing the questionnaires with some missing answers, and in general, for analyzing the incomplete disjunctive tables: A variation of correspondance analysis where one of the marginal distributions of the data table is replaced by an imposed marginal distribution; a multicanonical analysis with linear constraints on factors.
Application of the two variations to the present problem produces the same factors, and allows the analysis with most of the properties of the classical analysis of the complete disjunctive tables. Other applications possible, for example, fitting a frequency table to the marginal distributions.

MSC:

62H25 Factor analysis and principal components; correspondence analysis
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