When comparing relations and means of latent variables, it is important to establish measurement invariance (MI). Most methods to assess MI are based on confirmatory factor analysis (CFA). Recently, new methods have been developed based on exploratory factor analysis (EFA); most notably, as extensions of multi-group EFA, researchers introduced…

The practice of individual assessment has been moving toward the empirically derived Cattell-Horn-Carroll (CHC) theory of intellectual ability, which offers a hierarchical taxonomy of cognitive abilities. Current assessment tools provide varying adherence to operationalizing CHC theory, making clinical inference difficult. Expert consensus…

Rotation is used in almost all exploratory factor analysis (EFA) studies. There are numerous rotation strategies that can be employed in these various applications. This paper reviews the various rotation choices in EFA studies, including confirmatory rotation, and presents criteria useful in selecting rotation methods in various analytic…