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Direct linkMaydeu-Olivares, Alberto; Cai, Li; Hernandez, Adolfo – Structural Equation Modeling: A Multidisciplinary Journal, 2011
Linear factor analysis (FA) models can be reliably tested using test statistics based on residual covariances. We show that the same statistics can be used to reliably test the fit of item response theory (IRT) models for ordinal data (under some conditions). Hence, the fit of an FA model and of an IRT model to the same data set can now be…
Descriptors: Factor Analysis, Research Methodology, Statistics, Item Response Theory
Forero, Carlos G.; Maydeu-Olivares, Alberto; Gallardo-Pujol, David – Structural Equation Modeling: A Multidisciplinary Journal, 2009
Factor analysis models with ordinal indicators are often estimated using a 3-stage procedure where the last stage involves obtaining parameter estimates by least squares from the sample polychoric correlations. A simulation study involving 324 conditions (1,000 replications per condition) was performed to compare the performance of diagonally…
Descriptors: Factor Analysis, Models, Least Squares Statistics, Computation
