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Standard Errors of Equating for the Percentile Rank–Based Equipercentile Equating With Log-Linear Presmoothing

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  • Tianyou Wang

Abstract

Holland and colleagues derived a formula for analytical standard error of equating using the δ -method for the kernel equating method. Extending their derivation, this article derives an analytical standard error of equating procedure for the conventional percentile rank–based equipercentile equating with log-linear smoothing. This procedure is illustrated with real test data and is evaluated using both the bootstrap and the parametric bootstrap (simulation) methods for three different equating designs.

Suggested Citation

  • Tianyou Wang, 2009. "Standard Errors of Equating for the Percentile Rank–Based Equipercentile Equating With Log-Linear Presmoothing," Journal of Educational and Behavioral Statistics, , vol. 34(1), pages 7-23, March.
    • Handle: RePEc:sae:jedbes:v:34:y:2009:i:1:p:7-23
    DOI: 10.3102/1076998607307361
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