Adaptive testing with equated number-correct scoring

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A constrained CAT algorithm is presented that automatically equates the number-correct scores on adaptive tests. The algorithm can be used to equate number-correct scores across different administrations of the same adaptive test as well as to an external reference test. The constraints are derived from a set of conditions on item response functions that guarantees the observed number-correct score distributions on two test forms to be identical (van der Linden & Luecht, 1998). An item pool from the Law School Admission Test is used to compare the results of the algorithm with those for traditional observed-score equating of ability estimates to number-correct scores as well as the transformation to predicted number-correct scores through the test characteristic function. The effects of the constraints on the statistical properties of the ability estimator are examined.
Original languageEnglish
Place of PublicationEnschede
PublisherUniversity of Twente, Faculty Educational Science and Technology
Number of pages25
Publication statusPublished - 1999

Publication series

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


  • Observed-ScoreEquating
  • Optimal Test Assembly
  • 0-1 Linear Programming
  • METIS-136409
  • Item Response Theory
  • IR-103567
  • Computerized Adaptive Testing


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