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Modeling Ability Differentiation in the Second-Order Factor Model
Authors:Dylan Molenaar  Conor V Dolan  Han LJ van der Maas
Institution:University of Amsterdam
Abstract:In this article we present factor models to test for ability differentiation. Ability differentiation predicts that the size of IQ subtest correlations decreases as a function of the general intelligence factor. In the Schmid–Leiman decomposition of the second-order factor model, we model differentiation by introducing heteroscedastic residuals, nonlinear factor loadings, and a skew-normal second-order factor distribution. Using marginal maximum likelihood, we fit this model to Spanish standardization data of the Wechsler Adult Intelligence Scale (3rd ed.) to test the differentiation hypothesis.
Keywords:heteroscedasticity  nonlinear factor analysis  nonnormality  marginal maximum likelihood  Schmid–Leiman factor analysis  bi-factor model  ability differentiation  intelligence
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