Multidimensional scaling with regional restrictions for facet theory: an application to Levy's political protest data
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 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 & Hei
- Alternative title
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Multidimensionale Skalierung mit regionalen Restriktionen und Facettentheorie: eine Anwendung auf Levys Daten zu politischem Protest
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource, 41-64 S.
- Language
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Englisch
- Notes
-
Veröffentlichungsversion
begutachtet
In: Braun, Michael (Hg.), Mohler, Peter Ph. (Hg.): Beyond the horizon of measurement: Festschrift in honor of Ingwer Borg. 2006. S. 41-64. ISBN 978-3-924220-28-0
- Bibliographic citation
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Beyond the horizon of measurement: Festschrift in honor of Ingwer Borg ; Bd. 10
ZUMA-Nachrichten Spezial ; Bd. 10
- Classification
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Politik
- Event
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Veröffentlichung
- (where)
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Mannheim
- (when)
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2006
- Creator
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Groenen, Patrick J.F
Lans, Ivo A. van der
- Contributor
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Braun, Michael
Mohler, Peter Ph
GESIS-ZUMA
- URN
-
urn:nbn:de:0168-ssoar-49168-2
- Rights
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Open Access unbekannt; Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
-
25.03.2025, 1:42 PM CET
Data provider
This object is provided by:
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Associated
- Groenen, Patrick J.F
- Lans, Ivo A. van der
- Braun, Michael
- Mohler, Peter Ph
- GESIS-ZUMA
Time of origin
- 2006
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