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Journal Article

Bayesian Factor Analysis for Mixed Ordinal and Continuous Responses

Kevin M. Quinn
Political Analysis
Vol. 12, No. 4, Special Issue on Bayesian Methods (Autumn 2004), pp. 338-353
Stable URL: http://www.jstor.org/stable/25791782
Page Count: 16
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Bayesian Factor Analysis for Mixed Ordinal and Continuous Responses
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Abstract

Many situations exist in which a latent construct has both ordinal and continuous indicators. This presents a problem for the applied researcher because standard measurement models are not designed to accommodate mixed ordinal and continuous data. I address this problem by formulating a measurement model that is appropriate for such mixed multivariate responses. This model unifies standard normal theory factor analysis and item response theory models for ordinal data. I detail a Markov chain Monte Carlo algorithm for model fitting. I apply the model to cross-national data on political-economic risk and find that the model works well. Software for fitting this model is publicly available in the MCMCpack (Martin and Quinn 2004, "MCMCpack 0.4–8") R package.

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