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Educational Psychology Commons

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Brigham Young University

2004

Dimensionality

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Full-Text Articles in Educational Psychology

The Strength Of Multidimensional Item Response Theory In Exploring Construct Space That Is Multidimensional And Correlated, Steven Gerry Spencer Dec 2004

The Strength Of Multidimensional Item Response Theory In Exploring Construct Space That Is Multidimensional And Correlated, Steven Gerry Spencer

Theses and Dissertations

This dissertation compares the parameter estimates obtained from two item response theory (IRT) models: the 1-PL IRT model and the MC1-PL IRT model. Several scenarios were explored in which both unidimensional and multidimensional item-level and personal-level data were used to generate the item responses. The Monte Carlo simulations mirrored the real-life application of the two correlated dimensions of Necessary Operations and Calculations in the basic mathematics domain. In all scenarios, the MC1-PL IRT model showed greater precision in the recovery of the true underlying item difficulty values and person theta values along each primary dimension as well as along a …