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Monitoring Item Performance With CUSUM Statistics in Continuous Testing

Author

Listed:
  • Yi-Hsuan Lee
  • Charles Lewis

    (6729Educational Testing Service)

Abstract

In many educational assessments, items are reused in different administrations throughout the life of the assessments. Ideally, a reused item should perform relatively similarly over time. In reality, an item may become easier with exposure, especially when item preknowledge has occurred. This article presents a novel cumulative sum procedure for detecting item preknowledge in continuous testing where data for each reused item may be obtained from small and varying sample sizes across administrations. Its performance is evaluated with simulations and analytical work. The approach is effective in detecting item preknowledge quickly with group size at least 10 and is easy to implement with varying item parameters. In addition, it is robust to the ability estimation error introduced in the simulations.

Suggested Citation

  • Yi-Hsuan Lee & Charles Lewis, 2021. "Monitoring Item Performance With CUSUM Statistics in Continuous Testing," Journal of Educational and Behavioral Statistics, , vol. 46(5), pages 611-648, October.
    • Handle: RePEc:sae:jedbes:v:46:y:2021:i:5:p:611-648
    DOI: 10.3102/1076998621994563
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    References listed on IDEAS

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    1. Edison M. Choe & Jinming Zhang & Hua-Hua Chang, 2018. "Sequential Detection of Compromised Items Using Response Times in Computerized Adaptive Testing," Psychometrika, Springer;The Psychometric Society, vol. 83(3), pages 650-673, September.
    2. Shelby Haberman & Sandip Sinharay & Kyong Chon, 2013. "Assessing Item Fit for Unidimensional Item Response Theory Models Using Residuals from Estimated Item Response Functions," Psychometrika, Springer;The Psychometric Society, vol. 78(3), pages 417-440, July.
    3. Yi-Hsuan Lee & Alina Davier, 2013. "Monitoring Scale Scores over Time via Quality Control Charts, Model-Based Approaches, and Time Series Techniques," Psychometrika, Springer;The Psychometric Society, vol. 78(3), pages 557-575, July.
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    Citations

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    Cited by:

    1. Chen, Yunxiao & Lee, Yi-Hsuan & Li, Xiaoou, 2022. "Item pool quality control in educational testing: change point model, compound risk, and sequential detection," LSE Research Online Documents on Economics 112498, London School of Economics and Political Science, LSE Library.
    2. Hyeon-Ah Kang, 2023. "Sequential Generalized Likelihood Ratio Tests for Online Item Monitoring," Psychometrika, Springer;The Psychometric Society, vol. 88(2), pages 672-696, June.
    3. Yunxiao Chen & Yi-Hsuan Lee & Xiaoou Li, 2022. "Item Pool Quality Control in Educational Testing: Change Point Model, Compound Risk, and Sequential Detection," Journal of Educational and Behavioral Statistics, , vol. 47(3), pages 322-352, June.

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