An Extension of the MIRID Model for Polytomous Responses
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초록
The purpose of this paper is to demonstrate how to extend the MIRID (Model with Internal Restrictions on Item Difficulty) model to polytomous situations. The original MIRID model is designed to explore the underlying relationship between the complex cognitive task and its basic components with binary response data. If polytomous response data is treated in a dichotomous way, however, then much information about examinees might be lost. This phenomenon is explained in both empirical and simulation studies. The interpretation of the models is illustrated in an example with data from a study of verbal aggression. In order to verify the accuracy and stability of the estimates for the Partial Credit MIRID (PC-MIRID), a simulation study was conducted under 16 conditions using SAS NLMIXED. The simulation study in this paper confirms that the PC-MIRID provides accurate and stable parameter estimates under appropriate conditions.
Abstract
The purpose of this paper is to demonstrate how to extend the MIRID (Model with Internal Restrictions on Item Difficulty) model to polytomous situations. The original MIRID model is designed to explore the underlying relationship between the complex cognitive task and its basic components with binary response data. If polytomous response data is treated in a dichotomous way, however, then much information about examinees might be lost. This phenomenon is explained in both empirical and simulation studies. The interpretation of the models is illustrated in an example with data from a study of verbal aggression. In order to verify the accuracy and stability of the estimates for the Partial Credit MIRID (PC-MIRID), a simulation study was conducted under 16 conditions using SAS NLMIXED. The simulation study in this paper confirms that the PC-MIRID provides accurate and stable parameter estimates under appropriate conditions.
참고문헌 (20)
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