Affiliation:
1. Dalseo-Gu, Daegu, South Korea,
Abstract
The three types (generalized, unweighted, and weighted) of least squares methods, proposed by Ogasawara, for estimating item response theory (IRT) linking coefficients under dichotomous models are extended to the graded response model. A simulation study was conducted to confirm the accuracy of the extended formulas, and a real data study was carried out to compare the performance of the least squares methods with that of moment and characteristic curve linking methods. As found in Ogasawara’s study, the generalized least squares method had the smallest asymptotic standard errors but the largest biases of linking coefficient estimates, whereas the unweighted least squares method had the largest asymptotic standard errors but the smallest biases. The weighted least squares method was intermediate. The comparison study showed that with large samples, the weighted least squares method performed nearly as well as the characteristic curve methods in linking accuracy.
Subject
Psychology (miscellaneous),Social Sciences (miscellaneous)
Cited by
3 articles.
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