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The Rasch Model from the Perspective of the Representational Theory of Measurement

Bibliographic Data

ID20401744
AuthorsAndrew Kyngdon (METAMETRICS, INC.,, corresponding author)
Year2008
Volume18
Issue1
Pages89-109
Publication date2008-02-01
Peer ReviewedYes
Open AccessYes
TypeARTICLE
VenueTheory & Psychology (JOURNAL)
Journal identifiersISSN: 0959-3543 • E-ISSN: 1461-7447
PublisherSAGE Publications (PUBLISHER • US)
DOI10.1177/0959354307086924
OpenAlexW2021703108
LanguageEN
Citations received11
References cited57

Representational measurement theory is the dominant theory of measurement within the philosophy of science; and the area in which the theory of conjoint measurement was developed. For many years it has been argued the Rasch model is conjoint measurement by several psychometricians. This paper critiques this argument from the perspective of representational measurement theory. It concludes that the Rasch model is not conjoint measurement as the model does not demonstrate the existence of a representation theorem between an empirical relational structure and a numerical relational structure. Psychologists seriously interested in investigating traits for quantitative structure should use the theory of conjoint measurement itself rather than the Rasch model. This is not to say, however, that empirical relationships between conjoint measurement and the Rasch model are precluded. The paper concludes by suggesting some relevant research avenues

Conjoint analysis · Epistemology · Item response theory · Level of measurement · Polytomous Rasch model · Preference · Psychometrics · Rasch model · Statistics · Academic and Historical Perspectives in Psychology · Computer Science · Mathematics · Philosophy · Psychology · Qualitative Comparative Analysis Research · Social and Intergroup Psychology · Artificial Intelligence

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Unique citing works11
Citations per year0,61
Citation span2008 - 2026 (19)
Citation velocitycurrent
Highly citedNo
Citation typesNeutral: 9

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