ERIC Number: ED424235
Record Type: RIE
Publication Date: 1996-Oct
Bayesian Item Selection Criteria for Adaptive Testing. Research Report 96-01.
van der Linden, Wim J.
R. J. Owen (1975) proposed an approximate empirical Bayes procedure for item selection in adaptive testing. The procedure replaces the true posterior by a normal approximation with closed-form expressions for its first two moments. This approximation was necessary to minimize the computational complexity involved in a fully Bayesian approach, but is no longer necessary given the computational power currently available in adaptive testing. This paper suggests several item selection criteria for adaptive testing that are all based on the use of the true posterior. Some of the statistical properties of the ability estimator produced by these criteria are discussed and empirically characterized. An empirical study with 300 test items showed that the maximum predicted posterior expected information criterion had excellent mean-squared error for more extreme values of theta, and is the criterion elect for application in short adaptive tests. An appendix presents Owen's equations. (Contains 17 references.) (Author/SLD)
Descriptors: Ability, Adaptive Testing, Bayesian Statistics, Computation, Computer Assisted Testing, Criteria, Equations (Mathematics), Error of Measurement, Estimation (Mathematics), Selection, Test Items
Faculty of Educational Science and Technology, University of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands.
Publication Type: Reports - Evaluative
Education Level: N/A
Authoring Institution: Twente Univ., Enschede (Netherlands). Faculty of Educational Science and Technology.
Grant or Contract Numbers: N/A