The Role of Synthetic Geometry in Representational Measurement Theory

dc.contributor.authorWille, Uta
dc.date.accessioned2021-12-17T10:06:28Z
dc.date.available2021-12-17T10:06:28Z
dc.date.issued1996
dc.description.abstractGeometric representations of data and the formulation of quantitative models of observed phenomena are of main interest in all kinds of empirical sciences. To support the formulation of quantitative models, {\it representational measurement theory} studies the foundations of measurement. By mathematical methods it is analysed under which conditions attributes have numerical measurements and which numerical manipulations of the measurement values are meaningful (see Krantz et al.~(1971)). In this paper, we suggest to discuss within the measurement theory approach both, the idea of geometric representations of data and the request to provide algebraic descriptions of dependencies of attributes. We show that, within such a broader paradigm of representational measurement theory, synthetic geometry can play a twofold role which enriches the theory and the possibilities of data interpretation.en
dc.identifier.issn2197-8085
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/15561
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-14334
dc.language.isoenen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.ddc510 Mathematiken
dc.subject.othergeometric representationsen
dc.subject.otheralgorithmsen
dc.subject.otherempiricalen
dc.subject.othergeometricalen
dc.subject.othernumericalen
dc.subject.otherrepresentational measurement theoryen
dc.titleThe Role of Synthetic Geometry in Representational Measurement Theoryen
dc.typeResearch Paperen
dc.type.versionsubmittedVersionen
tub.accessrights.dnbfreeen
tub.affiliationFak. 2 Mathematik und Naturwissenschaften::Inst. Mathematikde
tub.affiliation.facultyFak. 2 Mathematik und Naturwissenschaftende
tub.affiliation.instituteInst. Mathematikde
tub.publisher.universityorinstitutionTechnische Universität Berlinen
tub.series.issuenumber1996, 504en
tub.series.namePreprint-Reihe des Instituts für Mathematik, Technische Universität Berlinen

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