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Zbl 0866.62034
Gras, R.; Ratsimba-Rajohn, H.
Non-symmetrical data analysis by statistical implication. (Analyse non symétrique de données par l'implication statistique.) (French)
[J] RAIRO, Rech. Opér. 30, No.3, 217-232 (1996). ISSN 0399-0559

Summary: Many methods of data analysis built data organisations according to a criterion of resemblance measured by different indices. Mostly, these indices are symmetrical. However, in multiple real situations, we need to structure a set of variables or a set of variable classes according to inclusion or inference relations such that: ``If $a$ then $b$''. Our approach, inspired by the work of {\it I. C. Lerman}, [Classification et analyse ordinale des données. (1981; Zbl 0485.62051)], give us a direction to get an oriented classification of these variables, figured on a graph. Thus we obtain an oriented classification on different classes of variables represented by a hierarchy. In a next step, we examine the significant nodes of the latter as well as the contribution of subjects-objects considered individually or through a categorisation.

MSC 2000:: *62H30 Statistical classification, etc.
62-07 Data analysis (statistics)

Keywords: classification; contribution; graph; oriented classification; hierarchy; significant nodes; categorisation

Citations: Zbl 0485.62051

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