Methods and models for the construction of weakly parallel tests

J.J. Adema, Jos J. Adema

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Methods are proposed for the construction of weakly parallel tests, that is, tests with the same test information function. A mathematical programing model for constructing tests with a prespecified test information function and a heuristic for assigning items to tests such that their information functions are equal play an important role in the methods. The MI and MIDI methods are proposed for constructing tests with a prespecified test information function applying the Minimax model. Similar methods, MAMI and MADI, are provided for construction of a weakly parallel test approximately equal with respect to the Maximin criterion. The four methods were applied on a real item bank of 600 items from college placement mathematics tests (520 items were from 13 previously administered American College Testing Assessment Program tests, and 80 were from the Collegiate Mathematics Placement Program). The numerical examples indicated that the tests were constructed quickly and that the heuristic gave good results. However, the heuristic was not applicable for every set of practical constraints (i.e., constraints with respect to test administration time, test composition, or dependencies between items). Four tables and four graphs present information about the constructed tests.
Original languageEnglish
Place of PublicationEnschede
PublisherUniversity of Twente, Faculty Educational Science and Technology
Number of pages36
Publication statusPublished - 1990

Publication series

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


  • Foreign Countries
  • Heuristics
  • Higher Education
  • Equations (Mathematics)
  • Item Response Theory
  • Item Banks
  • Student Placement
  • Test Construction
  • METIS-136627
  • IR-104152
  • Mathematics Tests
  • College Entrance Examinations
  • Computer Assisted Testing
  • Mathematical Models


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