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Full Information Optimal Scoring

Author

Listed:
  • James Ramsay

    (McGill University)

  • Marie Wiberg

    (Umeå University)

  • Juan Li

    (Ottawa Hospital Research Institute)

Abstract

Ramsay and Wiberg used a new version of item response theory that represents test performance over nonnegative closed intervals such as [0, 100] or [0, n ] and demonstrated that optimal scoring of binary test data yielded substantial improvements in point-wise root-mean-squared error and bias over number right or sum scoring. We extend these results by showing that optimal scoring of the full information in option choices produces about as much further improvement in these measures of score performance as was achieved by going from sum scoring to optimal binary scoring.

Suggested Citation

  • James Ramsay & Marie Wiberg & Juan Li, 2020. "Full Information Optimal Scoring," Journal of Educational and Behavioral Statistics, , vol. 45(3), pages 297-315, June.
    • Handle: RePEc:sae:jedbes:v:45:y:2020:i:3:p:297-315
    DOI: 10.3102/1076998619885636
    as

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    References listed on IDEAS

    as
    1. Marie Wiberg & James O. Ramsay & Juan Li, 2019. "Optimal Scores: An Alternative to Parametric Item Response Theory and Sum Scores," Psychometrika, Springer;The Psychometric Society, vol. 84(1), pages 310-322, March.
    2. Carol Woods & David Thissen, 2006. "Item Response Theory with Estimation of the Latent Population Distribution Using Spline-Based Densities," Psychometrika, Springer;The Psychometric Society, vol. 71(2), pages 281-301, June.
    3. Carol M. Woods & David Thissen, 2006. "Item Response Theory with Estimation of the Latent Population Distribution Using Spline-Based Densities," Psychometrika, Springer;The Psychometric Society, vol. 71(2), pages 281-301, June.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Rasmus A. X. Persson, 2023. "Theoretical evaluation of partial credit scoring of the multiple-choice test item," METRON, Springer;Sapienza Università di Roma, vol. 81(2), pages 143-161, August.

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