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Item-Weighted Likelihood Method for Ability Estimation in Tests Composed of Both Dichotomous and Polytomous Items

Author

Listed:
  • Jian Tao

    (Northeast Normal University)

  • Ning-Zhong Shi

    (Northeast Normal University)

  • Hua-Hua Chang

    (University of Illinois at Urbana-Champaign)

Abstract

For mixed-type tests composed of both dichotomous and polytomous items, polytomous items often yield more information than dichotomous ones. To reflect the difference between the two types of items, polytomous items are usually pre-assigned with larger weights. We propose an item-weighted likelihood method to better assess examinees' ability levels. Simulation results show that the estimated ability based on the new procedure is more consistent with examinee’s true ability than the usual maximum likelihood method.

Suggested Citation

  • Jian Tao & Ning-Zhong Shi & Hua-Hua Chang, 2012. "Item-Weighted Likelihood Method for Ability Estimation in Tests Composed of Both Dichotomous and Polytomous Items," Journal of Educational and Behavioral Statistics, , vol. 37(2), pages 298-315, April.
    • Handle: RePEc:sae:jedbes:v:37:y:2012:i:2:p:298-315
    DOI: 10.3102/1076998610393969
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    References listed on IDEAS

    as
    1. Frederic Lord, 1983. "Unbiased estimators of ability parameters, of their variance, and of their parallel-forms reliability," Psychometrika, Springer;The Psychometric Society, vol. 48(2), pages 233-245, June.
    2. Thomas Warm, 1989. "Weighted likelihood estimation of ability in item response theory," Psychometrika, Springer;The Psychometric Society, vol. 54(3), pages 427-450, September.
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    Cited by:

    1. Sandip Sinharay, 2016. "Asymptotically Correct Standardization of Person-Fit Statistics Beyond Dichotomous Items," Psychometrika, Springer;The Psychometric Society, vol. 81(4), pages 992-1013, December.

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