Characterizing the Manifest Probabilities of Latent Trait Models IRT
- Author(s):
- Cressie, Noel; Holland, Paul W.
- Publication Year:
- 1981
- Report Number:
- RR-81-54
- Source:
- ETS Research Report
- Document Type:
- Report
- Page Count:
- 30
- Subject/Key Words:
- Item Response Theory (IRT), Probability, Rasch Model, Statistical Analysis
Abstract
The problem of characterizing the manifest probabilities of a latent trait model is considered. The item characteristic curve is transformed to the item passing-odds curve and a corresponding transformation is made on the distribution of ability. This results in a useful expression for the manifest probabilities of any latent trait model. The result is then applied to give a complete characterization of the Rasch Model. Partial results are also obtained for other models. The question of the identifiability of "guessing" parameters is also discussed. (27pp.)
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- http://dx.doi.org/10.1002/j.2333-8504.1981.tb01281.x