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Sun, Jianan; Xin, Tao; Zhang, Shumei; de la Torre, Jimmy – Applied Psychological Measurement, 2013
This article proposes a generalized distance discriminating method for test with polytomous response (GDD-P). The new method is the polytomous extension of an item response theory (IRT)-based cognitive diagnostic method, which can identify examinees' ideal response patterns (IRPs) based on a generalized distance index. The similarities between…
Descriptors: Item Response Theory, Cognitive Tests, Diagnostic Tests, Matrices
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Tian, Wei; Cai, Li; Thissen, David; Xin, Tao – Educational and Psychological Measurement, 2013
In item response theory (IRT) modeling, the item parameter error covariance matrix plays a critical role in statistical inference procedures. When item parameters are estimated using the EM algorithm, the parameter error covariance matrix is not an automatic by-product of item calibration. Cai proposed the use of Supplemented EM algorithm for…
Descriptors: Item Response Theory, Computation, Matrices, Statistical Inference