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A mixed integer programming model for multiple stage adaptive testing

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  • Edmonds, Jennifer
  • Armstrong, Ronald
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    Abstract

    The last decade has seen paper-and-pencil (P&P) tests being replaced by computerized adaptive tests (CATs) within many testing programs. A CAT may yield several advantages relative to a conventional P&P test. A CAT can determine the questions or test items to administer, allowing each test form to be tailored to a test taker's skill level. Subsequent items can be chosen to match the capability of the test taker. By adapting to a test taker's ability, a CAT can acquire more information about a test taker while administering fewer items. A Multiple Stage Adaptive test (MST) provides a means to implement a CAT that allows review before the administration. The MST format is a hybrid between the conventional P&P and CAT formats. This paper presents mixed integer programming models for MST assembly problems. Computational results with commercial optimization software will be given and advantages of the models evaluated.

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    Bibliographic Info

    Article provided by Elsevier in its journal European Journal of Operational Research.

    Volume (Year): 193 (2009)
    Issue (Month): 2 (March)
    Pages: 342-350

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    Handle: RePEc:eee:ejores:v:193:y:2009:i:2:p:342-350

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    Web page: http://www.elsevier.com/locate/eor

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    Keywords: Integer programming Linear programming Education;

    References

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    1. Frederic Lord, 1971. "A theoretical study of two-stage testing," Psychometrika, Springer, vol. 36(3), pages 227-242, September.
    2. Adema, Jos J. & Boekkooi-Timminga, Ellen & van der Linden, Wim J., 1991. "Achievement test construction using 0-1 linear programming," European Journal of Operational Research, Elsevier, vol. 55(1), pages 103-111, November.
    3. T. Theunissen, 1985. "Binary programming and test design," Psychometrika, Springer, vol. 50(4), pages 411-420, December.
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