The performance of ML, DWLS, and ULS estimation with robust corrections in structural equation models with ordinal variables.
National Sun Yat-sen University
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Abstract
Three estimation methods with robust corrections-maximum likelihood (ML) using the sample covariance matrix, unweighted least squares (ULS) using a polychoric correlation matrix, and diagonally weighted least squares (DWLS) using a polychoric correlation matrix-have been proposed in the literature, and are considered to be superior to normal theory-based maximum likelihood when observed variables in latent variable models are ordinal. A Monte Carlo simulation study was carried out to compare the performance of ML, DWLS, and ULS in estimating model parameters, and their robust corrections to standard errors, and chi-square statistics in a structural equation model with ordinal observed variables. Eighty-four…
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Keywords
- Polychoric correlation
- Statistics
- Mathematics
- Ordinal data
- Sample size determination
- Covariance matrix
- Monte Carlo method
- Standard error
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