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Maydeu-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
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Ferrando, Pere J. – Structural Equation Modeling: A Multidisciplinary Journal, 2009
Most personality tests are made up of Likert-type items and analyzed by means of factor analysis (FA). In this type of application, the fit of the model at the level of individual respondents is almost never assessed. This article proposes procedures for assessing individual fit (scalability). The procedures are intended for the analysis of…
Descriptors: Personality, Factor Analysis, Personality Measures, Item Response Theory