A General Approach to Algorithmic Design of Fixed-Form Tests, Adaptive Tests, and Testlets
- 1 June 1994
- journal article
- Published by SAGE Publications in Applied Psychological Measurement
- Vol. 18 (2) , 141-153
- https://doi.org/10.1177/014662169401800204
Abstract
The selection of items from a calibrated item bank for fixed-form tests is an optimal test design problem; this problem has been handled in the literature by mathematical programming models. A similar problem, however, arises when items are selected for an adaptive test or for testlets. This paper focuses on the similarities of optimal design of fixed-form tests, adaptive tests, and testlets within the framework of the general theory of optimal designs. A sequential design procedure is proposed that uses these similarities. This procedure not only enables optimal design of fixed-form tests, adaptive tests, and testlets, but is also very flexible. The procedure is easy to apply, and consistent estimates for the trait level distribution are obtained. Index terms: adaptive tests, consistency, efficiency, optimal test design, sequential procedure, test design, testlets.Keywords
This publication has 20 references indexed in Scilit:
- Nonlinear Experiments: Optimal Design and Inference Based on LikelihoodJournal of the American Statistical Association, 1993
- Influence of Item Parameter Estimation Errors in Test DevelopmentJournal of Educational Measurement, 1993
- Sequential Sampling Designs for the Two-Parameter Item Response Theory ModelPsychometrika, 1992
- Generation of Optimal Designs for Nonlinear Models when the Design Points are Incidental ParametersPublished by Springer Nature ,1992
- On the Efficiency of IRT Models When Applied to Different Sampling DesignsApplied Psychological Measurement, 1991
- Sequential maximum likelihood estimation with applications to logistic regression in case-control studiesJournal of Statistical Planning and Inference, 1989
- Recent Advances in Nonlinear Experimental DesignTechnometrics, 1989
- Item Characteristics of Tests Constructed by Linear ProgrammingApplied Psychological Measurement, 1988
- Inference and sequential designBiometrika, 1985
- Developments in the Design of Experiments, Correspondent PaperInternational Statistical Review, 1982