par Ducamp, André ;Falmagne, Jean-Claude
Référence Journal of mathematical psychology, 6, 3, page (359-390)
Publication Publié, 1969-10
Article révisé par les pairs
Résumé : Several systems of fundamental measurement are available in the literature, which involve two (or more) sets of entities to be measured simultaneously. Well-known examples are: Guttman scales; additive conjoint measurement; Coombs systems. This paper is a first step towards a general analysis of such systems for which the name "composite measurement" is proposed. An extension principle plays a central role; it is used in three proofs and is discussed in general in the concluding section. Three examples of composite measurement are analyzed in detail: (i) bi-classificatory systems, (ii) bi-quasi-series or Guttman scales, (iii) bi-semiorders. As far as we know, the analysis of bi-semiorder is entirely new. © 1969.