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Equating Without an Anchor for Nonequivalent Groups of Examinees

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  • Nicholas T. Longford

    (SNTL and Universitat Pompeu Fabra)

Abstract

An equating procedure for a testing program with evolving distribution of examinee profiles is developed. No anchor is available because the original scoring scheme was based on expert judgment of the item difficulties. Pairs of examinees from two administrations are formed by matching on coarsened propensity scores derived from a set of background variables. These two subsets of scores are then equated, treating the associated sets of test performances as equivalent. The method is applied to the scores in 2 years of a testing program for admission to tertiary education.

Suggested Citation

  • Nicholas T. Longford, 2015. "Equating Without an Anchor for Nonequivalent Groups of Examinees," Journal of Educational and Behavioral Statistics, , vol. 40(3), pages 227-253, June.
    • Handle: RePEc:sae:jedbes:v:40:y:2015:i:3:p:227-253
    DOI: 10.3102/1076998615574773
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    References listed on IDEAS

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    1. Rajeev H. Dehejia & Sadek Wahba, 2002. "Propensity Score-Matching Methods For Nonexperimental Causal Studies," The Review of Economics and Statistics, MIT Press, vol. 84(1), pages 151-161, February.
    2. Iacus, Stefano M. & King, Gary & Porro, Giuseppe, 2011. "Multivariate Matching Methods That Are Monotonic Imbalance Bounding," Journal of the American Statistical Association, American Statistical Association, vol. 106(493), pages 345-361.
    3. Thaddeus Tarpey & R. Todd Ogden & Eva Petkova & Ronald Christensen, 2014. "A Paradoxical Result in Estimating Regression Coefficients," The American Statistician, Taylor & Francis Journals, vol. 68(4), pages 271-276, November.
    4. Daniel F. McCaffrey & J. R. Lockwood & Claude M. Setodji, 2013. "Inverse probability weighting with error-prone covariates," Biometrika, Biometrika Trust, vol. 100(3), pages 671-680.
    5. Rosenbaum, Paul R. & Ross, Richard N. & Silber, Jeffrey H., 2007. "Minimum Distance Matched Sampling With Fine Balance in an Observational Study of Treatment for Ovarian Cancer," Journal of the American Statistical Association, American Statistical Association, vol. 102, pages 75-83, March.
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    Cited by:

    1. Paul Allin & David J. Hand, 2017. "New statistics for old?—measuring the wellbeing of the UK," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 180(1), pages 3-43, January.

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