Some decision theory for course placement

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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.
Original languageUndefined
Place of PublicationEnschede, the Netherlands
PublisherUniversity of Twente
Publication statusPublished - 1995

Publication series

NameOMD research report
PublisherUniversity of Twente, Faculty of Educational Science and Technology


  • Elementary Secondary Education
  • Testing Problems
  • Test Interpretation
  • Test Reliability
  • Test Results
  • Course Content
  • IR-103615
  • Foreign Countries
  • Test Validity
  • Student Evaluation
  • Student Placement
  • Placement
  • Course Objectives

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