, Volume 54, Issue 2, pp 181202
First online:
Factor and ideal point analysis for interpersonally incomparable data
 Henry E. BradyAffiliated withDepartment of Political Science, University of Chicago
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Interpersonally incomparable responses pose a significant problem for survey researchers. If the manifest responses of individuals differ from their underlying true responses by monotonic transformations which vary from person to person, then the covariances of the manifest responses tools such as factor analysis may yield incorrect results. Satisfactory results for interpersonally incomparable ordinal responses can be obtained by assuming that rankings are based upon a set of multivariate normal latent variables which satisfy the factor or ideal point models of choice. Two statistical methods based upon these assumptions are described; their statistical properties are explored; and their computational feasibility is demonstrated in some simulations. We conclude that is possible to develop methods for factor and ideal point analysis of interpersonally incomparable ordinal data.
Key words
interpersonally incomparable responses rankings factor analysis idealpoint analysis ordinal data Title
 Factor and ideal point analysis for interpersonally incomparable data
 Journal

Psychometrika
Volume 54, Issue 2 , pp 181202
 Cover Date
 198906
 DOI
 10.1007/BF02294514
 Print ISSN
 00333123
 Online ISSN
 18600980
 Publisher
 SpringerVerlag
 Additional Links
 Topics
 Keywords

 interpersonally incomparable responses
 rankings
 factor analysis
 idealpoint analysis
 ordinal data
 Industry Sectors
 Authors

 Henry E. Brady ^{(1)}
 Author Affiliations

 1. Department of Political Science, University of Chicago, 60637, Chicago, IL