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A Comparative Study of Online Item Calibration Methods in Multidimensional Computerized Adaptive Testing

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  • Ping Chen

    (Collaborative Innovation Center of Assessment toward Basic Education Quality, Beijing Normal University)

Abstract

Calibration of new items online has been an important topic in item replenishment for multidimensional computerized adaptive testing (MCAT). Several online calibration methods have been proposed for MCAT, such as multidimensional “one expectation–maximization (EM) cycle†(M-OEM) and multidimensional “multiple EM cycles†(M-MEM). However, M-MEM often fails to converge when the correlations between dimensions are relatively high. To solve the nonconvergence issue and more accurately calibrate new items, this article combines Bayes modal estimation with M-OEM and M-MEM to make full use of the prior information from the item parameters of the new items. The obtained two new Bayesian methods were compared with the existing methods under several conditions, assuming the new items were assigned to examinees via random design or optimal Bayesian adaptive design. The simulation results showed that adding prior to the new item parameters was helpful to improve the calibration precision and efficiency of M-MEM but not so much for M-OEM, and the two online calibration designs exemplified very similar calibration precision.

Suggested Citation

  • Ping Chen, 2017. "A Comparative Study of Online Item Calibration Methods in Multidimensional Computerized Adaptive Testing," Journal of Educational and Behavioral Statistics, , vol. 42(5), pages 559-590, October.
    • Handle: RePEc:sae:jedbes:v:42:y:2017:i:5:p:559-590
    DOI: 10.3102/1076998617695098
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    References listed on IDEAS

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    1. Chun Wang & Hua-Hua Chang, 2011. "Item Selection in Multidimensional Computerized Adaptive Testing—Gaining Information from Different Angles," Psychometrika, Springer;The Psychometric Society, vol. 76(3), pages 363-384, July.
    2. Ping Chen & Tao Xin & Chun Wang & Hua-Hua Chang, 2012. "Online Calibration Methods for the DINA Model with Independent Attributes in CD-CAT," Psychometrika, Springer;The Psychometric Society, vol. 77(2), pages 201-222, April.
    3. Lien, Da-Hsiang Donald, 1985. "Moments of truncated bivariate log-normal distributions," Economics Letters, Elsevier, vol. 19(3), pages 243-247.
    4. Daniel Segall, 1996. "Multidimensional adaptive testing," Psychometrika, Springer;The Psychometric Society, vol. 61(2), pages 331-354, June.
    5. Daniel Segall, 2001. "General ability measurement: An application of multidimensional item response theory," Psychometrika, Springer;The Psychometric Society, vol. 66(1), pages 79-97, March.
    6. Ping Chen & Chun Wang, 2016. "A New Online Calibration Method for Multidimensional Computerized Adaptive Testing," Psychometrika, Springer;The Psychometric Society, vol. 81(3), pages 674-701, September.
    7. Joris Mulder & Wim Linden, 2009. "Multidimensional Adaptive Testing with Optimal Design Criteria for Item Selection," Psychometrika, Springer;The Psychometric Society, vol. 74(2), pages 273-296, June.
    8. Susan Embretson (Whitely), 1984. "A general latent trait model for response processes," Psychometrika, Springer;The Psychometric Society, vol. 49(2), pages 175-186, June.
    9. Chun Wang, 2015. "On Latent Trait Estimation in Multidimensional Compensatory Item Response Models," Psychometrika, Springer;The Psychometric Society, vol. 80(2), pages 428-449, June.
    10. Douglas Jones & Zhiying Jin, 1994. "Optimal sequential designs for on-line item estimation," Psychometrika, Springer;The Psychometric Society, vol. 59(1), pages 59-75, March.
    11. Ying Cheng & Ke-Hai Yuan, 2010. "The Impact of Fallible Item Parameter Estimates on Latent Trait Recovery," Psychometrika, Springer;The Psychometric Society, vol. 75(2), pages 280-291, June.
    12. Yuan-chin Chang & Hung-Yi Lu, 2010. "Online Calibration Via Variable Length Computerized Adaptive Testing," Psychometrika, Springer;The Psychometric Society, vol. 75(1), pages 140-157, March.
    13. Robert Mislevy, 1986. "Bayes modal estimation in item response models," Psychometrika, Springer;The Psychometric Society, vol. 51(2), pages 177-195, June.
    14. Chun Wang & Hua-Hua Chang & Keith Boughton, 2011. "Kullback–Leibler Information and Its Applications in Multi-Dimensional Adaptive Testing," Psychometrika, Springer;The Psychometric Society, vol. 76(1), pages 13-39, January.
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