Assessing Measurement Equivalence in Ordered-Categorical Data

Assessing measurement equivalence in the framework of the common factor linear models (CFL) is known as factorial invariance. This methodology is used to evaluate the equivalence among the parameters of a measurement model among different groups. However, when dichotomous, Likert, or ordered responses are used, one of the assumptions of the CFL is violated: the continuous nature of the observed variables. The common factor analysis of ordered-categorical data (CFO) has [...]

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