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Computerized Mastery Testing Using Fuzzy Set Decision Theory CAT

Du, Yi; Lewis, Charles; Pashley, Peter J.
Publication Year:
Report Number:
ETS Research Report, Applied Measurement in Education, v6 n3 p181-193, 1993
Document Type:
Page Count:
Subject/Key Words:
Bayesian Statistics, Computer Assisted Testing, Decision Theory, Mastery Tests, Rasch Model, Set Theory


Lewis and Sheehan (1990) developed a computerized sequential mastery test procedure that utilizes Bayesian decision theory to make "master," "nonmaster," or "continue test" decisions. While maintaining their general frame work of administering sequential testlets, a fuzzy set approach was used to develop an alternative computerized mastery test. This new procedure differs from Lewis and Sheehan's in that the decision rule is determined using fuzzy set decision theory, and ability estimates are obtained using the Rasch model rather than a three-parameter logistic model. This article describes this new approach and illustrates the differences between the fuzzy set and Bayesian methods by way of an example. (13pp.)

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