Limits on Log Cross-Product Ratios for Item Response Models
- Author(s):
- Haberman, Shelby J.; Holland, Paul W.; Sinharay, Sandip
- Publication Year:
- 2006
- Report Number:
- RR-06-10
- Source:
- ETS Research Report
- Document Type:
- Report
- Page Count:
- 11
- Subject/Key Words:
- Item Response Models, Rasch Model, 2-Parameter Logistic (2PL) Model
Abstract
Bounds are established for log cross-product ratios (log odds ratios) involving pairs of items for item response models. First, expressions for bounds on log cross-product ratios are provided for unidimensional item response models in general. Then, explicit bounds are obtained for the Rasch model and the two-parameter logistic (2PL) model. Results are also illustrated through an example from a study of model-checking procedures. The bounds obtained can provide a basis for assessment of goodness of fit of these models.
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- http://dx.doi.org/10.1002/j.2333-8504.2006.tb02016.x