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POLYSEM: Stata module to perform confirmatory factor analysis of ordinal indicators by diagonally weighted least squares on polychoric correlations

Yusuf Toyin Yusuf ()
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Yusuf Toyin Yusuf: Kwara State University

Statistical Software Components from Boston College Department of Economics

Abstract: polysem fits the factor model R = Lambda Phi Lambda' + Theta to the polychoric, polyserial and Pearson correlations of the indicators. Here Theta is diagonal with Theta_ii = 1 - (Lambda Phi Lambda')_ii, because the latent responses have unit variance. The command: 1. runs polycorr to obtain the vector of correlations r and its covariance matrix V; 2. minimizes (r - sigma(theta))' W (r - sigma(theta)) by Gauss-Newton with step halving.

Language: Stata
Requires: Stata version 14 and polycorr from SSC (q.v.)
Keywords: confirmatory factor analysis; polychoric correlations (search for similar items in EconPapers)
Date: 2026-10-30
Note: This module should be installed from within Stata by typing "ssc install polysem". The module is made available under terms of the MIT license (https://opensource.org/licenses/MIT).
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Downloads: (external link)
http://fmwww.bc.edu/repec/bocode/p/polysem.ado
http://fmwww.bc.edu/repec/bocode/p/polysem.sthlp
http://fmwww.bc.edu/repec/bocode/p/polysem_examples.do
http://fmwww.bc.edu/repec/bocode/p/polysem_cert.do

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Handle: RePEc:boc:bocode:s459955