Optimal assembly of tests with item sets

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Abstract

Six methods for assembling tests from a pool with an item-set structure are presented. All methods are computational and based on the technique of mixed integer programming. The methods are evaluated using such criteria as the feasibility of their linear programming problems and their expected solution times. The methods are illustrated for two item pools with a set structure from the Law School Admission Test (LSAT). The methods are:(1) simultaneous selection of items and sets;(2) simultaneous selection with pivot items;(3) all items per set selected;(4) decision variables for subsets (power set approach);(5) two-stage selection; and (6) two-stage selection (alternative version).
Original languageEnglish
Place of PublicationEnschede
PublisherUniversiteit Twente TO/OMD
Publication statusPublished - 1998

Publication series

NameOMD research report
PublisherUniversity of Twente, Faculty of Educational Science and Technology
No.98-12

Fingerprint

Power set
Pivot
Mixed Integer Programming
Linear programming
Subset
Alternatives

Keywords

  • METIS-136542
  • IR-103573

Cite this

van der Linden, W. J. (1998). Optimal assembly of tests with item sets. (OMD research report; No. 98-12). Enschede: Universiteit Twente TO/OMD.
van der Linden, Willem J. / Optimal assembly of tests with item sets. Enschede : Universiteit Twente TO/OMD, 1998. (OMD research report; 98-12).
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van der Linden, WJ 1998, Optimal assembly of tests with item sets. OMD research report, no. 98-12, Universiteit Twente TO/OMD, Enschede.

Optimal assembly of tests with item sets. / van der Linden, Willem J.

Enschede : Universiteit Twente TO/OMD, 1998. (OMD research report; No. 98-12).

Research output: Book/ReportReportProfessional

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van der Linden WJ. Optimal assembly of tests with item sets. Enschede: Universiteit Twente TO/OMD, 1998. (OMD research report; 98-12).