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Standard Errors of the Kernel Equating Methods Under the Common-Item Design

Author(s):
Cheng, Philip E.; Johnson, Eugene G.; Liou, Michelle
Publication Year:
1996
Report Number:
RR-96-11
Source:
ETS Research Report
Document Type:
Report
Page Count:
40
Subject/Key Words:
Chain Equipercentile Equating, Kernel Method, Linear Models, Standard Error of Measurement

Abstract

The present research derives simplified formulae for computing the standard error of the frequency estimation method for equating score distributions that are continuized using a uniform or Gaussian kernel function. The simplified formulae are applicable to equating both the observed- and smoothed-score distributions. Results from two empirical studies indicate that the simplified formulae work reasonably well for samples with moderate sizes, say one thousand examinees

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