이요인 등급반응 모형을 위한 공통-문항 척도연계 방법

초록

In applications of multidimensional item response theory (MIRT), the bi-factor graded response (BGR) model can be used to analyze the ordered response data of bi-factor latent structures. The purpose of this study is to present four scale-linking methods for the BGR model under the context of the common-item nonequivalent groups design and investigate their characteristics and performances through computer simulations. The four scale-linking methods presented are the least squares (LSQ), mean-least squares (MLS), item-category response function (IRF), and test response function (TRF) methods. The four methods estimate the dilation and translation linking coefficients with the assumption of independence among all general and group factors. Computer simulations that included three factors of (a) nonequivalence level between two examinee groups, (b) sample size, and (c) number of common items between linked test forms were conducted to examinee the characteristics and relative performances of the four scale-linking methods. Overall, the four methods properly estimated the dilation coefficients. In estimation of the translation coefficients, however, the IRF, LSQ, and MLS methods functioned properly but the TRF method did not. For the recovery of item parameters, the IRF method performed best in mose cases, but the LSQ and MLS methods also performed well in the cases of small sample size and small number of common items.

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