Some decision theory for course placement

Research output: Book/ReportReportOther research output

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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

Cite this

van der Linden, W. J. (1995). Some decision theory for course placement. (OMD research report; No. 95-01). Enschede, the Netherlands: University of Twente, Faculty Educational Science and Technology.
van der Linden, Willem J. / Some decision theory for course placement. Enschede, the Netherlands : University of Twente, Faculty Educational Science and Technology, 1995. (OMD research report; 95-01).
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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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van der Linden, WJ 1995, Some decision theory for course placement. OMD research report, no. 95-01, University of Twente, Faculty Educational Science and Technology, Enschede, the Netherlands.

Some decision theory for course placement. / van der Linden, Willem J.

Enschede, the Netherlands : University of Twente, Faculty Educational Science and Technology, 1995. (OMD research report; No. 95-01).

Research output: Book/ReportReportOther research output

TY - BOOK

T1 - Some decision theory for course placement

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N2 - 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.

AB - 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.

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KW - Testing Problems

KW - Test Interpretation

KW - Test Reliability

KW - Test Results

KW - Course Content

KW - IR-103615

KW - Foreign Countries

KW - Test Validity

KW - Student Evaluation

KW - Student Placement

KW - Placement

KW - Course Objectives

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T3 - OMD research report

BT - Some decision theory for course placement

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van der Linden WJ. Some decision theory for course placement. Enschede, the Netherlands: University of Twente, Faculty Educational Science and Technology, 1995. (OMD research report; 95-01).