Open AccessCHARACTERIZING THE MANIFEST PROBABILITIES OF LATENT TRAIT MODELS *
Author(s) -
Cressie Noel,
Holland Paul W.
Publication year - 1981
Publication title -
ets research report series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.235
H-Index - 5
ISSN - 2330-8516
DOI - 10.1002/j.2333-8504.1981.tb01281.x
Subject(s) - rasch model , identifiability , trait , transformation (genetics) , item response theory , local independence , polytomous rasch model , econometrics , odds , statistics , latent variable , mathematics , latent variable model , psychology , psychometrics , computer science , logistic regression , biochemistry , chemistry , gene , programming language
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.