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Kernel Equating Using Propensity Scores for Nonequivalent Groups

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  • Gabriel Wallin
  • Marie Wiberg

    (Umeå University)

Abstract

When equating two test forms, the equated scores will be biased if the test groups differ in ability. To adjust for the ability imbalance between nonequivalent groups, a set of common items is often used. When no common items are available, it has been suggested to use covariates correlated with the test scores instead. In this article, we reduce the covariates to a propensity score and equate the test forms with respect to this score. The propensity score is incorporated within the kernel equating framework using poststratification and chained equating. The methods are evaluated using real college admissions test data and through a simulation study. The results show that propensity scores give an increased equating precision in comparison with the equivalent groups design and a smaller mean squared error than by using the covariates directly. Practical implications are also discussed.

Suggested Citation

  • Gabriel Wallin & Marie Wiberg, 2019. "Kernel Equating Using Propensity Scores for Nonequivalent Groups," Journal of Educational and Behavioral Statistics, , vol. 44(4), pages 390-414, August.
  • Handle: RePEc:sae:jedbes:v:44:y:2019:i:4:p:390-414
    DOI: 10.3102/1076998619838226
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    References listed on IDEAS

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    1. Alina Davier, 2013. "Observed-Score Equating: An Overview," Psychometrika, Springer;The Psychometric Society, vol. 78(4), pages 605-623, October.
    2. Andersson, Björn & Bränberg, Kenny & Wiberg, Marie, 2013. "Performing the Kernel Method of Test Equating with the Package kequate," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 55(i06).
    3. Alberto Abadie & Guido W. Imbens, 2006. "Large Sample Properties of Matching Estimators for Average Treatment Effects," Econometrica, Econometric Society, vol. 74(1), pages 235-267, January.
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    Cited by:

    1. Wallin, Gabriel & Wiberg, Marie, 2023. "Model misspecification and robustness of observed-score test equating using propensity scores," LSE Research Online Documents on Economics 118223, London School of Economics and Political Science, LSE Library.

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