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Multidimensional scaling with regional restrictions for facet theory: an application to Levy's political protest data
Multidimensionale Skalierung mit regionalen Restriktionen und Facettentheorie: eine Anwendung auf Levys Daten zu politischem Protest
[collection article]
This document is a part of the following document:
Beyond the horizon of measurement: Festschrift in honor of Ingwer Borg
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GESIS-ZUMA
Abstract "Multidimensional scaling (MDS) is often used for the analysis of correlation matrices of items generated by a facet-theory design. The emphasis of the analysis is on regional hypotheses on the location of the items in the MDS solution. An important regional hypothesis is the axial constraint, where... view more
"Multidimensional scaling (MDS) is often used for the analysis of correlation matrices of items generated by a facet-theory design. The emphasis of the analysis is on regional hypotheses on the location of the items in the MDS solution. An important regional hypothesis is the axial constraint, where the items from different levels of a facet are assumed to be located in different parallel slices. The simplest approach is to do an MDS and draw the parallel lines separating the slices as good as possible by hand. Alternatively, Borg & Shye (1995) proposed to automate the second step. Borg & Groenen (1997, 2005) proposed a simultaneous approach for ordered facets, when the number of MDS dimensions equals the number of facets. In this paper, we propose a new algorithm that estimates an MDS solution subject to axial constraints without the restriction that the number of facets equals the number of dimensions. The algorithm is based on constrained iterative majorization of De Leeuw & Heiser (1980) with special constraints. This algorithm is applied to Levy's (1983) data on political protests." (author's abstract)... view less
Keywords
survey research; data collection method; survey; data; data documentation; data acquisition; data capture; data organization; data quality; scaling; multidimensional scaling
Classification
Methods and Techniques of Data Collection and Data Analysis, Statistical Methods, Computer Methods
Method
basic research; development of methods
Collection Title
Beyond the horizon of measurement: Festschrift in honor of Ingwer Borg
Editor
Braun, Michael; Mohler, Peter Ph.
Document language
English
Publication Year
2006
City
Mannheim
Page/Pages
p. 41-64
Series
ZUMA-Nachrichten Spezial, 10
ISBN
978-3-924220-28-0
Status
Published Version; reviewed
Licence
Deposit Licence - No Redistribution, No Modifications