Open AccessTHE INFORMATION A TEST PROVIDES ON AN ABILITY PARAMETER
Author(s) -
Haberman Shelby J.
Publication year - 2007
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.2333-8504.2007.tb02060.x
Subject(s) - item response theory , latent variable , latent variable model , interpretation (philosophy) , reliability (semiconductor) , variable (mathematics) , computer science , mathematics , equating , computerized adaptive testing , statistics , econometrics , psychometrics , mathematical analysis , power (physics) , physics , quantum mechanics , rasch model , programming language
In item‐response theory, if a latent‐structure model has an ability variable, then elementary information theory may be employed to provide a criterion for evaluation of the information the test provides concerning ability. This criterion may be considered even in cases in which the latent‐structure model is not valid, although interpretation of the criterion is more complex in this case. It is also possible to consider reliability results for inferences about the ability variable. Use of sampling to develop required parameter estimates is straightforward. Applications of the criterion in zero‐, one‐, and two‐parameter logistic (0PL, 1PL, and 2PL) examples are provided.