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Chou, Yeh-Tai; Wang, Wen-Chung – Educational and Psychological Measurement, 2010
Dimensionality is an important assumption in item response theory (IRT). Principal component analysis on standardized residuals has been used to check dimensionality, especially under the family of Rasch models. It has been suggested that an eigenvalue greater than 1.5 for the first eigenvalue signifies a violation of unidimensionality when there…
Descriptors: Test Length, Sample Size, Correlation, Item Response Theory
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Furlow, Carolyn F.; Ross, Terris Raiford; Gagne, Phill – Applied Psychological Measurement, 2009
Douglas, Roussos, and Stout introduced the concept of differential bundle functioning (DBF) for identifying the underlying causes of differential item functioning (DIF). In this study, reference group was simulated to have higher mean ability than the focal group on a nuisance dimension, resulting in DIF for each of the multidimensional items…
Descriptors: Test Bias, Test Items, Reference Groups, Simulation