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 language | Undefined |
|---|---|
| Place of Publication | Enschede, the Netherlands |
| Publisher | University of Twente, Faculty Educational Science and Technology |
| Publication status | Published - 1995 |
Publication series
| Name | OMD research report |
|---|---|
| Publisher | University 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.