The construction of weakly parallel tests by mathematical programming

J.J. Adema, Jos J. Adema

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Abstract

Data banks with items calibrated under an item response model can be used for the construction of tests. Mathematical programming models like the Maximin Model are formulated for computerized item selection from a bank. In this paper, mathematical programming models based on the Maximin Model are proposed for the construction of weakly parallel tests. Numerical experiments were conducted to obtain an impression of the practicality of the approach using an item bank of 600 items from college placement mathematics examinations (520 items were from 13 previously administered American College Testing Assessment Program tests, and 80 were from the Collegiate Mathematics Placement Program). Six tests were constructed, and their test information functions were computed. The results demonstrate that tests constructed with the proposed models were near-optimal with respect to the Maximin criteria and were approximately weakly parallel. Five tables present information about the constructed tests. Four graphs illustrate the information functions.
Original languageEnglish
Place of PublicationEnschede
PublisherUniversity of Twente, Faculty Educational Science and Technology
Number of pages34
Publication statusPublished - 1990

Publication series

NameOMD research report
PublisherUniversity of Twente, Faculty of Educational Science and Technology
No.90-6

Keywords

  • Foreign Countries
  • Higher Education
  • Equations (Mathematics)
  • Item Response Theory
  • Test Items
  • Item Banks
  • Mathematical Models
  • Test Construction
  • METIS-136626
  • IR-104157
  • Mathematics Tests
  • College Entrance Examinations
  • Computer Assisted Testing
  • Student Placement

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    Adema, J. J., & Adema, J. J. (1990). The construction of weakly parallel tests by mathematical programming. (OMD research report; No. 90-6). Enschede: University of Twente, Faculty Educational Science and Technology.