Journal article

Asymptotic Standard Errors of Equating Coefficients Using the Characteristic Curve Methods for the Graded Response Model

Zhonghua Zhang

APPLIED MEASUREMENT IN EDUCATION | ROUTLEDGE JOURNALS, TAYLOR & FRANCIS LTD | Published : 2020

Abstract

The characteristic curve methods have been applied to estimate the equating coefficients in test equating under the graded response model (GRM). However, the approaches for obtaining the standard errors for the estimates of these coefficients have not been developed and examined. In this study, the delta method was applied to derive the mathematical formulas for computing the asymptotic standard errors for the parameter scale transformation coefficients and the true score equating coefficients that are estimated using the characteristic curve methods in test equating under the GRM in the context of the common-item nonequivalent groups equating design. Simulated and real data were further use..

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