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Performing the Kernel Method of Test Equating with the Package kequate

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  • Andersson, Björn
  • Bränberg, Kenny
  • Wiberg, Marie

Abstract

In standardized testing it is important to equate tests in order to ensure that the test takers, regardless of the test version given, obtain a fair test. Recently, the kernel method of test equating, which is a conjoint framework of test equating, has gained popularity. The kernel method of test equating includes five steps: (1) pre-smoothing, (2) estimation of the score probabilities, (3) continuization, (4) equating, and (5) computing the standard error of equating and the standard error of equating difference. Here, an implementation has been made for six different equating designs: equivalent groups, single group, counter balanced, non-equivalent groups with anchor test using either chain equating or post- stratification equating, and non-equivalent groups using covariates. An R package for the kernel method of test equating called kequate is presented. Included in the package are also diagnostic tools aiding in the search for a proper log-linear model in the pre-smoothing step for use in conjunction with the R function glm.

Suggested Citation

  • 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).
    • Handle: RePEc:jss:jstsof:v:055:i06
    DOI: http://hdl.handle.net/10.18637/jss.v055.i06
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    Cited by:

    1. González, Jorge, 2014. "SNSequate: Standard and Nonstandard Statistical Models and Methods for Test Equating," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 59(i07).
    2. Björn Andersson & Alina Davier, 2015. "Book Review," Psychometrika, Springer;The Psychometric Society, vol. 80(3), pages 856-858, September.
    3. Albano, Anthony D., 2016. "equate: An R Package for Observed-Score Linking and Equating," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 74(i08).
    4. Björn Andersson & Marie Wiberg, 2017. "Item Response Theory Observed-Score Kernel Equating," Psychometrika, Springer;The Psychometric Society, vol. 82(1), pages 48-66, March.
    5. 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.
    6. 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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