Abstract
A generalized dimensionality discrepancy measure is introduced to facilitate a critique of dimensionality assumptions in multidimensional item response models. Connections between dimensionality and local independence motivate the development of the discrepancy measure from a conditional covariance theory perspective. A simulation study and a real-data analysis demonstrate the utility of the discrepancy measure's application at multiple levels of analysis in a posterior predictive model checking framework.
Original language | English (US) |
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Pages (from-to) | 208-232 |
Number of pages | 25 |
Journal | British Journal of Mathematical and Statistical Psychology |
Volume | 64 |
Issue number | 2 |
DOIs | |
State | Published - May 2011 |
ASJC Scopus subject areas
- Statistics and Probability
- Arts and Humanities (miscellaneous)
- General Psychology