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Direct linkChou, 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
Chiu, Chia-Yi; Douglas, Jeffrey A.; Li, Xiaodong – Psychometrika, 2009
Latent class models for cognitive diagnosis often begin with specification of a matrix that indicates which attributes or skills are needed for each item. Then by imposing restrictions that take this into account, along with a theory governing how subjects interact with items, parametric formulations of item response functions are derived and…
Descriptors: Test Length, Identification, Multivariate Analysis, Item Response Theory
