An ordinal evaluation of categorical judgement data by random utilities and a corresponding correlation analysis

DC FieldValueLanguage
dc.contributor.authorSuck, R
dc.date.accessioned2021-12-23T16:03:53Z-
dc.date.available2021-12-23T16:03:53Z-
dc.date.issued2005
dc.identifier.issn00222496
dc.identifier.urihttps://osnascholar.ub.uni-osnabrueck.de/handle/unios/6252-
dc.description.abstractCategorical judgement data are analyzed along the lines of random utility theory. A class of orders is introduced (categorical weak orders); their characteristic vectors are regarded as points in a Euclidean space; their convex hull forms a polytope whose facets are fully characterized. This polytope is shown to correspond to an order polytope. Furthermore, its relation to the biorder polytope is pointed out. The convex representations of a given point of the polytope are discussed. The impact of these results on the methods of analyzing data arising from a categorical judgement procedure is outlined. In particular, some consequences are drawn with respect to the usual evaluation of correlations of such data. (c) 2005 Elsevier Inc. All rights reserved.
dc.language.isoen
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE
dc.relation.ispartofJOURNAL OF MATHEMATICAL PSYCHOLOGY
dc.subjectbiorders
dc.subjectcategorical judgement
dc.subjectMathematical Methods In Social Sciences
dc.subjectMathematics
dc.subjectMathematics, Interdisciplinary Applications
dc.subjectorder polytope
dc.subjectpolyhedral combinatorics
dc.subjectPsychology
dc.subjectPsychology, Mathematical
dc.subjectrandom utility representations
dc.subjectREPRESENTATIONS
dc.subjectSocial Sciences, Mathematical Methods
dc.subjectSYSTEMS
dc.subjectTHEOREM
dc.titleAn ordinal evaluation of categorical judgement data by random utilities and a corresponding correlation analysis
dc.typejournal article
dc.identifier.doi10.1016/j.jmp.2005.08.004
dc.identifier.isiISI:000234438300010
dc.description.volume49
dc.description.issue6
dc.description.startpage489
dc.description.endpage497
dc.identifier.eissn10960880
dc.publisher.place525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA
dcterms.isPartOf.abbreviationJ. Math. Psychol.
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