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Bootstrap Fit Testing, Confidence Intervals, and Standard Error Estimation in the Factor Analysis of Polychoric Correlation Matrices

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Abstract

Ordinary least squares estimation is considered for fitting a factor analysis model to polychoric correlation matrices. A parametric bootstrap procedure is proposed for obtaining test statistics, standard error estimates, and confidence intervals associated with the OLS estimates. The adequacy of the proposed procedure is demonstrated using a simulation study.

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Authors and Affiliations

  1. Psychology Department, The Ohio State University, 1835 Neil Avenue Mall, Columbus, Ohio, 43210, USA

    Guangjian Zhang & Michael W. Browne

Authors
  1. Guangjian Zhang
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  2. Michael W. Browne
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Correspondence to Guangjian Zhang.

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Zhang, G., Browne, M.W. Bootstrap Fit Testing, Confidence Intervals, and Standard Error Estimation in the Factor Analysis of Polychoric Correlation Matrices. Behaviormetrika 33, 61–74 (2006). https://doi.org/10.2333/bhmk.33.61

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  • DOI: https://doi.org/10.2333/bhmk.33.61

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