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A Rasch Investigation Of Type I Error Rates And Power Associated With Item Fit Statistics Under Large-Scale Testing Situations, Yin Burgess
Theses and Dissertations
This simulation study investigated the accuracy of the mean square and the standardized values of the item INFIT and OUTFIT statistics (i.e., based on total item fit) in Rasch dichotomous model under large-scale testing situations. It also examined their associated Type I error rates to determine how the rule-of-thumb critical values perform in detecting item misfit. Furthermore, simulated systematic measurement disturbances were used to test the power (i.e., the hit rates of true positive cases, true positive rates) and the false positive rates (i.e., Type I error rates) of the obtained values through between-item fit indices in identifying poor-fitting items. …
The Strength Of Multidimensional Item Response Theory In Exploring Construct Space That Is Multidimensional And Correlated, Steven Gerry Spencer
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 …