Please use this identifier to cite or link to this item: http://dx.doi.org/10.14279/depositonce-14334
For citation please use:
Main Title: The Role of Synthetic Geometry in Representational Measurement Theory
Author(s): Wille, Uta
Type: Research Paper
URI: https://depositonce.tu-berlin.de/handle/11303/15561
http://dx.doi.org/10.14279/depositonce-14334
License: http://rightsstatements.org/vocab/InC/1.0/
Abstract: Geometric 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.
Subject(s): geometric representations
algorithms
empirical
geometrical
numerical
representational measurement theory
Issue Date: 1996
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 1996, 504
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

Files in This Item:
Preprint_504-1996.pdf
Format: Adobe PDF | Size: 16.86 MB
DownloadShow Preview
Thumbnail

Item Export Bar

Items in DepositOnce are protected by copyright, with all rights reserved, unless otherwise indicated.