ERIC Number: ED435690
Record Type: Non-Journal
Publication Date: 1999
Reference Count: N/A
A Minimax Procedure in the Context of Sequential Mastery Testing. Research Report 99-04.
Vos, Hans J.
The purpose of this paper is to derive optimal rules for sequential mastery tests. In a sequential mastery test, the decision is to classify a subject as a master or a nonmaster, or to continue sampling and administering another random test item. The framework of minimax sequential decision theory (minimum information approach) is used; that is, optimal rules are obtained by minimizing the maximum expected losses associated with all possible decision rules at each stage of sampling. The binomial model is assumed for the probability of a correct response given the true level of functioning, whereas threshold loss is adopted for the loss function involved. Monotonicity conditions are derived, that is, conditions sufficient for optimal rules to be in the form of sequential cutting scores. The paper concludes with a simulation study in which the minimax sequential strategy is compared with other procedures that exist for similar classification decisions in the literature. (Contains 2 tables and 30 references.) (Author/SLD)
Faculty of Educational Science and Technology, University of Twente, TO/OMD, P.O. Box 217, 7500 AE Enschede, The Netherlands.
Publication Type: Reports - Descriptive
Education Level: N/A
Authoring Institution: Twente Univ., Enschede (Netherlands). Faculty of Educational Science and Technology.