Broadly, limited information estimators attend to the ordinal indicators by using polychoric correlations to fit CFA models.
2.
An extension of the tetrachoric correlation to tables involving variables with more than two levels is the polychoric correlation coefficient.
3.
An alternative to such procedures is linear regression based on polychoric correlation ( or polyserial correlations ) between the categorical variables.
4.
Polychoric correlations capture the covariance between two latent variables when only their categorized form is observed, which is achieved largely through the estimation of threshold parameters.
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