Optimal Item Difficulty for the Three-Parameter Normal Ogive Response Model
- 1 December 1981
- journal article
- Published by Cambridge University Press (CUP) in Psychometrika
- Vol. 46 (4) , 461-464
- https://doi.org/10.1007/bf02293802
Abstract
In tailored testing, it is important to determine the optimal difficulty of the next item to present to the examinee. This paper shows that the difference that maximizes information for the three-parameter normal ogive response model is approximately 1.7 times the optimal difference θ − b for the three-parameter logistic model. Under the normal model, calculation of the optimal difficulty for minimizing the Bayes risk is equivalent to maximizing an associated information function.Keywords
This publication has 2 references indexed in Scilit:
- A Rapid Item-Search Procedure for Bayesian Adaptive TestingPublished by American Psychological Association (APA) ,1977
- A Bayesian Sequential Procedure for Quantal Response in the Context of Adaptive Mental TestingJournal of the American Statistical Association, 1975