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Psychometrika

, Volume 24, Issue 3, pp 229–252 | Cite as

Three multivariate models: Factor analysis, latent structure analysis, and latent profile analysis

  • W. A. Gibson
Article

Abstract

The factor analysis model and Lazarsfeld's latent structure scheme for analyzing dichotomous attributes are derived to show how the latter model avoids three knotty problems in factor analysis: communality estimation, rotation, and curvilinearity. Then the latent structure model is generalized into latent profile analysis for the study of interrelations among quantitative measures. Four latent profile examples are presented and discussed in terms of their limitations and the problems of latent metric and dimensionality thereby raised. The possibility of treating higher order empirical relations in a manner paralleling their various uses in the latent structure model is indicated.

Keywords

Structure Analysis Public Policy Quantitative Measure Multivariate Model Statistical Theory 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Psychometric Society 1959

Authors and Affiliations

  • W. A. Gibson
    • 1
  1. 1.Personnel Research BranchThe Adjutant General's OfficeUSA

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