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The Use of Sequential Test in Computerized Adaptive Testing
Kyungsu Wang(Kunsan National University)

  1. Introduction
  2. Significance of This Study
    • What is SPRT?
    • EXSPRT
    • EXSPRT - 1 Among Three Hypothesis
    • Item Selection
    • More generalized case
  3. Methodology
  4. The Results
  5. Conclusion

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    This paper is to extend EXSPRT method developed by Frick(1990, 1991). He showed that sequential tests between two simple hypotheses in computerized adaptive testing(CAT) were uesful. His method to employ SPRT logic developed by Wald(1947) has two very important strengths: one is that it needs a relatively small sample size. The other is that it can shorten the test length needed to reach a decision such as mastery or non-mastery.

    This paper tries to apply his EXSPRT to more than three hypotheses such as A, B, and C grade. That means we can assign multiple grade or categories to a testee using EXSPRT-1 or EXSPRT-R. This study showed that the test length required to reach a decision increses comparing with sequential tests between just two hypotheses. Several parameters such as alpha, beta, and the relative size of prior probabilities affect the required test length to reach a decision.

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