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

Tianyou Wang

Journal of Educational and Behavioral Statistics, 2009, vol. 34, issue 1, 7-23

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.

Keywords: equipercentile equating; standard errors of equating; log-linear smoothing; delta method (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:sae:jedbes:v:34:y:2009:i:1:p:7-23

DOI: 10.3102/1076998607307361

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