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

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

Tianyou Wang
Journal of educational and behavioral statistics, Vol.34(1), pp.7-23
03/01/2009
DOI: 10.3102/1076998607307361

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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.
standard errors of equating delta method log-linear smoothing equipercentile equating

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