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A Decision Theory Model for Course Placement

University of Twente

The problem of how to place students in a sequence of hierarchically related courses is addressed from a decision theory point of view. Based on a minimal set of assumptions, it is shown that optimal mastery rules for the courses are always monotone and a nonincreasing function of the scores on the placement test. On the other hand, placement rules are not generally monotone but have a form depending on the specific shape of the probability distributions and utility functions in force. The results are further explored for a class of linear utility functions.

Key Words: Keywords: decision theory • mastery decisions • monotone decision rules • placement decisions • test theory

Journal of Educational and Behavioral Statistics, Vol. 23, No. 1, 18-34 (1998)
DOI: 10.3102/10769986023001018


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