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1 results

  • Optimal Partitioning of Testing Time: Theoretical Properties and Practical Implications

  • Tianyou Wang, Jiawei Zhang
  • Journal:
    Psychometrika / Volume 71 / Issue 1 / March 2006
    Published online by Cambridge University Press:
    01 January 2025, pp. 105-120

  • This paper deals with optimal partitioning of limited testing time in order to achieve maximum total test score. Nonlinear optimization theory was used to analyze this problem. A general case using a generic item response model is first presented. A special case that applies a response time model proposed by Wang and Hanson (2005) is also presented. Theoretical properties of the optimal solution are derived. Their practical implications to optimal test-taking strategies are also discussed. The theoretical properties are in general agreement with the conventional advice to the examinees on pacing strategy.