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Bootstrap Confidence Regions for Multidimensional Scaling Solutions

Bootstrap Confidence Regions for Multidimensional Scaling Solutions Multidimensional scaling (or MDS) is a methodology for producing geometric models of proximities data. Multidimensional scaling has a long history in political science research. However, most applications of MDS are purely descriptive, with no attempt to assess stability or sampling variability in the scaling solution. In this article, we develop a bootstrap resampling strategy for constructing confidence regions in multidimensional scaling solutions. The methodology is illustrated by performing an inferential multidimensional scaling analysis on data from the 2004 American National Election Study (ANES). The bootstrap procedure is very simple, and it is adaptable to a wide variety of MDS models. Our approach enhances the utility of multidimensional scaling as a tool for testing substantive theories while still retaining the flexibility in assumptions, model details, and estimation procedures that make MDS so useful for exploring structure in data. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png American Journal of Political Science Wiley

Bootstrap Confidence Regions for Multidimensional Scaling Solutions

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References (54)

Publisher
Wiley
Copyright
©2014 by the Midwest Political Science Association
ISSN
0092-5853
eISSN
1540-5907
DOI
10.1111/ajps.12056
Publisher site
See Article on Publisher Site

Abstract

Multidimensional scaling (or MDS) is a methodology for producing geometric models of proximities data. Multidimensional scaling has a long history in political science research. However, most applications of MDS are purely descriptive, with no attempt to assess stability or sampling variability in the scaling solution. In this article, we develop a bootstrap resampling strategy for constructing confidence regions in multidimensional scaling solutions. The methodology is illustrated by performing an inferential multidimensional scaling analysis on data from the 2004 American National Election Study (ANES). The bootstrap procedure is very simple, and it is adaptable to a wide variety of MDS models. Our approach enhances the utility of multidimensional scaling as a tool for testing substantive theories while still retaining the flexibility in assumptions, model details, and estimation procedures that make MDS so useful for exploring structure in data.

Journal

American Journal of Political ScienceWiley

Published: Jan 1, 2014

Keywords: ; ; ;

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