Some decision theory for course placement

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Abstract

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, Faculty Educational Science and Technology
Publication statusPublished - 1995

Publication series

NameOMD research report
PublisherUniversity of Twente, Faculty of Educational Science and Technology
No.95-01

Keywords

  • 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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