title: A generalized dimensionality discrepancy measure for dimensionality assessment in multidimensional item response theory.
abstract: A generalized dimensionality discrepancy measure is introduced to facilitate a critique of dimensionality assumptions in multidimensional item response models. Connections between dimensionality and local independence motivate the development of the discrepancy measure from a conditional covariance theory perspective. A simulation study and a real-data analysis demonstrate the utility of the discrepancy measure's application at multiple levels of analysis in a posterior predictive model checking framework.
authors.affiliation: Arizona State University, Tempe, AZ, USA. roy.levy@asu.edu
authors.forename: Roy
authors.initials: R
authors.lastname: Levy
authors.forename: Dubravka
authors.initials: D
authors.lastname: Svetina
mesh_terms: D003196:Computer Graphics; D004521:Educational Measurement / Q000706:statistics & numerical data*; D006801:Humans; D008432:Mathematical Computing; D015233:Models, Statistical; D009010:Monte Carlo Method; D011581:Psychological Tests / Q000706:statistics & numerical data*; D011594:Psychometrics / Q000706:statistics & numerical data*; D015203:Reproducibility of Results; D018709:Statistics, Nonparametric