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Modeling Not-Reached Items in Timed Tests: A Response Time Censoring Approach

Author

Listed:
  • Jinxin Guo

    (Beijing Normal University)

  • Xin Xu

    (Beijing Normal University)

  • Zhiliang Ying

    (Columbia University)

  • Susu Zhang

    (University of Illinois at Urbana-Champaign)

Abstract

Time limits are imposed on many computer-based assessments, and it is common to observe examinees who run out of time, resulting in missingness due to not-reached items. The present study proposes an approach to account for the missing mechanisms of not-reached items via response time censoring. The censoring mechanism is directly incorporated into the observed likelihood of item responses and response times. A marginal maximum likelihood estimator is proposed, and its asymptotic properties are established. The proposed method was evaluated and compared to several alternative approaches that ignore the censoring through simulation studies. An empirical study based on the PISA 2018 Science Test was further conducted.

Suggested Citation

  • Jinxin Guo & Xin Xu & Zhiliang Ying & Susu Zhang, 2022. "Modeling Not-Reached Items in Timed Tests: A Response Time Censoring Approach," Psychometrika, Springer;The Psychometric Society, vol. 87(3), pages 835-867, September.
    • Handle: RePEc:spr:psycho:v:87:y:2022:i:3:d:10.1007_s11336-021-09810-0
    DOI: 10.1007/s11336-021-09810-0
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    References listed on IDEAS

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    1. Wim van der Linden, 2007. "A Hierarchical Framework for Modeling Speed and Accuracy on Test Items," Psychometrika, Springer;The Psychometric Society, vol. 72(3), pages 287-308, September.
    2. Yi-Hsuan Lee & Zhiliang Ying, 2015. "A Mixture Cure-Rate Model for Responses and Response Times in Time-Limit Tests," Psychometrika, Springer;The Psychometric Society, vol. 80(3), pages 748-775, September.
    3. Norman Rose & Matthias Davier & Benjamin Nagengast, 2017. "Modeling Omitted and Not-Reached Items in IRT Models," Psychometrika, Springer;The Psychometric Society, vol. 82(3), pages 795-819, September.
    4. Steffi Pohl & Esther Ulitzsch & Matthias Davier, 2019. "Using Response Times to Model Not-Reached Items due to Time Limits," Psychometrika, Springer;The Psychometric Society, vol. 84(3), pages 892-920, September.
    5. Irini Moustaki & Martin Knott, 2000. "Weighting for item non‐response in attitude scales by using latent variable models with covariates," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 163(3), pages 445-459.
    6. Maria Bolsinova & Paul Boeck & Jesper Tijmstra, 2017. "Modelling Conditional Dependence Between Response Time and Accuracy," Psychometrika, Springer;The Psychometric Society, vol. 82(4), pages 1126-1148, December.
    7. C. O'Muircheartaigh & I. Moustaki, 1999. "Symmetric pattern models: a latent variable approach to item non‐response in attitude scales," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 162(2), pages 177-194.
    8. Lee Cronbach & W. Warrington, 1951. "Time-limit tests: Estimating their reliability and degree of speeding," Psychometrika, Springer;The Psychometric Society, vol. 16(2), pages 167-188, June.
    9. Wim Linden & Cees Glas, 2010. "Statistical Tests of Conditional Independence Between Responses and/or Response Times on Test Items," Psychometrika, Springer;The Psychometric Society, vol. 75(1), pages 120-139, March.
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