Lorsque l’utilité, la gêne ou le confort sont recueillis sur une échelle de catégories : l’interaction dans le contexte multivarié. When the utility, the annoyance or the comfort are recorded with ordered categories, the interaction in the multivariate context, Math. Sci. hum. / Mathematics and Social Sciences, n° 188, 2009(4), p. 5-39.

摘要

This note is related to ordered categorical responses coming from experimental subjects as we generally do with the “utility” in econometry, annoyance in environmental surveys, or discomfort in ergonomy. Here we are working in the measurement theory framework. The appropriate measurement method is to use the successive intervals of Adams and Messick, which are well suited for univariate conditions when responses are given in relation to one descriptive variable; here we examine the multivariate extension, the first formal properties and the possibility to explicit the interaction between variables.