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A New Concurrent Calibration Method for Nonequivalent Group Design under Nonrandom Assignment |
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| Authors: | Kei Miyazaki Takahiro Hoshino Shin-ichi Mayekawa Kazuo Shigemasu |
| Affiliation: | (1) Department of Cognitiveand Behavioral Science, The University of Tokyo, Tokyo, Japan;(2) Graduate School of Economics, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8601, Japan;(3) Graduate School of Decision Science and Technology, Tokyo Institute of Technology, Tokyo, Japan;(4) Department of Cognitiveand Behavioral Science, The University of Tokyo, Tokyo, Japan |
| Abstract: | This study proposes a new item parameter linking method for the common-item nonequivalent groups design in item response theory (IRT). Previous studies assumed that examinees are randomly assigned to either test form. However, examinees can frequently select their own test forms and tests often differ according to examinees’ abilities. In such cases, concurrent calibration or multiple group IRT modeling without modeling test form selection behavior can yield severely biased results. We proposed a model wherein test form selection behavior depends on test scores and used a Monte Carlo expectation maximization (MCEM) algorithm. This method provided adequate estimates of testing parameters. |
| Keywords: | common-item design concurrent calibration IRT linking item response theory Monte Carlo expectation maximization (MCEM) algorithm multinomial logistic regression model nonignorable missingness |
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