ERIC Number: ED419009
Record Type: RIE
Publication Date: 1997
Reference Count: N/A
A Minimax Sequential Procedure in the Context of Computerized Adaptive Mastery Testing.
Vos, Hans J.
The purpose of this paper is to derive optimal rules for variable-length mastery tests in case three mastery classification decisions (nonmastery, partial mastery, and mastery) are distinguished. In a variable-length or adaptive mastery test, the decision is to classify a subject as a master, a partial master, a nonmaster, or continuing sampling and administering another test item. The framework of minimax sequential decision theory is used; that is, optimal sequential rules minimizing the maximum expected losses associated with all possible decision rules. The binomial model is assumed for the conditional probability of a correct response given the true level of functioning, whereas the threshold loss is adopted for the loss function involved. Monotonicity conditions are derived, that is, conditions sufficient for optimal sequential rules to be in the form of cutting scores. The paper concludes with an empirical example of a computerized adaptive mastery test for concept-learning in medicine. (Contains 4 tables and 63 references.) (Author)
Descriptors: Adaptive Testing, Classification, Computer Assisted Testing, Concept Formation, Cutting Scores, Foreign Countries, Higher Education, Mastery Tests, Medical Education, Test Length
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.
Identifiers: Decision Theory; Minimax Procedure