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Statistical implication between modal variables. (L’implication statistique entre variables modales.) (French) Zbl 0821.92027
Summary: If we refer to the research carried out by the second author [Contribution à l’étude expérimentale et à l’analyse de certaines acquisitions cognitives et de certains objectifs didactiques en mathématiques. Thèse d’Etat, Univ. de Rennes 1 (1979)], the statistical implication allows to combine a representable pre-order with a set of binary variables by means of a non-symmetrical graph, using an ascending hierarchy. Analysing a questionnaire based on orderly displayed modalities means that we have to widen this very notion to modal variables, then, a fortiori to ordinal variables, if we want to keep the full meaning of the whole thing. Next, we go through the individual contributions from either individuals or classified subjects, pointing up either some branches of the graph or some classes appearing in the hierarchical organization. So we can clearly get a new categorization of individuals inferred by behavior similar to those stemming from these modal variables.
MSC:
91C99 Social and behavioral sciences: general topics
62P99 Applications of statistics
00A35 Methodology of mathematics
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