ERIC Number: ED396204
Record Type: RIE
Publication Date: 1995
Reference Count: N/A
Some Decision Theory for Course Placement. Research Report No. 95-01.
Van der Linden, Wim J.
This paper addresses the problem of how to place students in a sequence of hierarchically related courses from an (empirical) Bayesian 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. Numerous illustrations and tables present data and statistical analysis. (Contains 20 references.) (Author/TS)
Publication Type: Reports - Research
Education Level: N/A
Authoring Institution: Twente Univ., Enschede (Netherlands). Dept. of Education.
Identifiers: Bayes Decision Rule; Bayes Theorem