A procedure for empirical initialization of adaptive testing algorithms

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Abstract

In constrained adaptive testing, the numbers of constraints needed to control the content of the tests can easily run into the hundreds. Proper initialization of the algorithm becomes a requirement because the presence of large numbers of constraints slows down the convergence of the ability estimator. In this paper, an empirical initialization of the algorithm is proposed based on the statistical relation between the ability variable and background variables known prior to the test. The relation is modeled using a two-parameter logistic version of an item response theory (IRT) model with manifest predictors discussed in A.H. Zwinderman (1991). An empirical example shows how an (incomplete) sample of response data and data on background variables can be used to derive an initial ability estimate or an empirical prior distribution for the ability parameter. An appendix gives the derivation of an equation for the estimator.
Original languageUndefined
Place of PublicationEnschede, the Netherlands
PublisherUniversity of Twente, Faculty Educational Science and Technology
Publication statusPublished - 1997

Publication series

NameOMD research report
PublisherUniversity of Twente, Faculty of Educational Science and Technology
No.97-02

Keywords

  • Ability
  • Adaptive Testing
  • IR-103604
  • Item Response Theory
  • Test Construction
  • Computer Assisted Testing
  • Foreign Countries
  • Algorithms

Cite this

van der Linden, W. J. (1997). A procedure for empirical initialization of adaptive testing algorithms. (OMD research report; No. 97-02). Enschede, the Netherlands: University of Twente, Faculty Educational Science and Technology.
van der Linden, Willem J. / A procedure for empirical initialization of adaptive testing algorithms. Enschede, the Netherlands : University of Twente, Faculty Educational Science and Technology, 1997. (OMD research report; 97-02).
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van der Linden, WJ 1997, A procedure for empirical initialization of adaptive testing algorithms. OMD research report, no. 97-02, University of Twente, Faculty Educational Science and Technology, Enschede, the Netherlands.

A procedure for empirical initialization of adaptive testing algorithms. / van der Linden, Willem J.

Enschede, the Netherlands : University of Twente, Faculty Educational Science and Technology, 1997. (OMD research report; No. 97-02).

Research output: Book/ReportReportOther research output

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PY - 1997

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N2 - In constrained adaptive testing, the numbers of constraints needed to control the content of the tests can easily run into the hundreds. Proper initialization of the algorithm becomes a requirement because the presence of large numbers of constraints slows down the convergence of the ability estimator. In this paper, an empirical initialization of the algorithm is proposed based on the statistical relation between the ability variable and background variables known prior to the test. The relation is modeled using a two-parameter logistic version of an item response theory (IRT) model with manifest predictors discussed in A.H. Zwinderman (1991). An empirical example shows how an (incomplete) sample of response data and data on background variables can be used to derive an initial ability estimate or an empirical prior distribution for the ability parameter. An appendix gives the derivation of an equation for the estimator.

AB - In constrained adaptive testing, the numbers of constraints needed to control the content of the tests can easily run into the hundreds. Proper initialization of the algorithm becomes a requirement because the presence of large numbers of constraints slows down the convergence of the ability estimator. In this paper, an empirical initialization of the algorithm is proposed based on the statistical relation between the ability variable and background variables known prior to the test. The relation is modeled using a two-parameter logistic version of an item response theory (IRT) model with manifest predictors discussed in A.H. Zwinderman (1991). An empirical example shows how an (incomplete) sample of response data and data on background variables can be used to derive an initial ability estimate or an empirical prior distribution for the ability parameter. An appendix gives the derivation of an equation for the estimator.

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KW - Item Response Theory

KW - Test Construction

KW - Computer Assisted Testing

KW - Foreign Countries

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van der Linden WJ. A procedure for empirical initialization of adaptive testing algorithms. Enschede, the Netherlands: University of Twente, Faculty Educational Science and Technology, 1997. (OMD research report; 97-02).