Modifications of the branch-and-bound algorithm for application in constrained adaptive testing

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Abstract

A mathematical programming approach is presented for computer adaptive testing (CAT) with many constraints on the item and test attributes. Because mathematical programming problems have to be solved while the examinee waits for the next item, a fast implementation of the Branch-and-Bound algorithm is needed for this approach. Eight modifications of the algorithm especially designed for application in CAT are described. In order to investigate the effects of the modifications, two empirical examples using simulation were studied. The modified Branch-and-Bound algorithm selected the items in the adaptive tests in a realistic amount of time, while the resulting tests met the constraints.
Original languageEnglish
Place of PublicationEnschede
PublisherUniversity of Twente, Faculty Educational Science and Technology
Number of pages25
Publication statusPublished - 2000

Publication series

NameOMD research report 00-05
PublisherUniversity of Twente, Faculty of Educational Science and Technology
No.00-05

Keywords

  • METIS-136394
  • IR-104089

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  • Cite this

    Veldkamp, B. P. (2000). Modifications of the branch-and-bound algorithm for application in constrained adaptive testing. (OMD research report 00-05; No. 00-05). Enschede: University of Twente, Faculty Educational Science and Technology.