A Standardized Generalized Dimensionality Discrepancy Measure and a Standardized Model-Based Covariance for Dimensionality Assessment for Multidimensional Models

Roy Levy, Yuning Xu, Nedim Yel, Dubravka Svetina

Research output: Contribution to journalArticle

10 Scopus citations

Abstract

The standardized generalized dimensionality discrepancy measure and the standardized model-based covariance are introduced as tools to critique dimensionality assumptions in multidimensional item response models. These tools are grounded in a covariance theory perspective and associated connections between dimensionality and local independence. Relative to their precursors, they allow for dimensionality assessment in a more readily interpretable metric of correlations. A simulation study demonstrates the utility of the discrepancy measures' application at multiple levels of dimensionality analysis, and compares them to factor analytic and item response theoretic approaches. An example illustrates their use in practice.

Original languageEnglish (US)
Pages (from-to)144-158
Number of pages15
JournalJournal of Educational Measurement
Volume52
Issue number2
DOIs
StatePublished - Jun 1 2015

ASJC Scopus subject areas

  • Education
  • Applied Psychology
  • Developmental and Educational Psychology
  • Psychology (miscellaneous)

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