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

^* To whom correspondence should be addressed. E-mail: tianyou-wang{at}uiowa.edu.

	Abstract

Holland and colleagues derived a formula for analytical standard error of equating using the -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.

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