Modeling Ability Differentiation in the Second-Order Factor Model

Dylan Molenaar · Conor V. Dolan · Han L. J. van der Maas

27 citations0/0 files storedStructural Equation Modeling A Multidisciplinary Journal

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Psychometric Methodologies and Testing Education, Achievement, and Giftedness Cognitive Abilities and Testing

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.

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References

1989Structural Equations with Latent Variables 1991Structural Equations with Latent Variables.1998The g factor: the science of mental ability 1981Marginal Maximum Likelihood Estimation of Item Parameters: Application of an EM Algorithm 1957The Development of Hierarchical Factor Solutions 2010Scandinavian Journal of Statistics 2007Item factor analysis: Current approaches and future directions.1927The Abilities of Man their Nature and Measurement

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