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Two simple Classes of Mastery Scores based on the Beta-Binomial Model

Published online by Cambridge University Press:  01 January 2025

Huynh Huynh
Huynh Huynh*
Affiliation:
University of South Carolina
*
Requests for reprints should be sent to Huynh Huynh, College of Education, University of South Carolina, Columbia, South Carolina 29208.
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Abstract

Two simple classes of mastery scores which are suitable for hand calculations are presented for beta-binomial test score distributions combined with linear and cubic referral success. The models provide a simple way to explore the consequences of selecting an arbitrary mastery score. Such assessment would be useful whenever the test user is not willing to post a priori a loss ratio, but wishes to look at the various consequences before aiming at a particular score.

Keywords

mastery scoremastery testingtest theoryclassification
Type
Original Paper
Information
Psychometrika , Volume 42 , Issue 4 , December 1977 , pp. 601 - 608
Copyright
Copyright © 1977 The Psychometric Society

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References

Block, J. H. & Anderson, L. W. Mastery learning in classroom instruction, 1975, New York: Macmillan Publishing Co..Google Scholar
Duncan, G. T. An empirical Bayes approach to scoring multiple-choice tests in the misinformation model. Journal of the American Statistical Association, 1974, 69, 50–57.CrossRefGoogle Scholar
Ferguson, T. S. Mathematical statistics: A decision-theoretic approach, 1967, New York: Academic Press.Google Scholar
Huynh, H. Statistical consideration of mastery scores. Psychometrika, 1976, 41, 65–78.CrossRefGoogle Scholar
Keats, J. A. & Lord, F. M. A theoretical distribution for mental test scores. Psychometrika, 1962, 27, 59–72.CrossRefGoogle Scholar
Lord, F. M. & Novick, M. R. Statistical theories of mental test scores, 1968, Reading, Massachusetts: Addison-Wesley Publishing Co..Google Scholar
Spivak, M. Calculus, 1967, New York: W. A. Benjamin.Google Scholar