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Research on IRT Equating for Multiple Item Type

Author: ZhouShiKe
Tutor: DingShuLiang
School: Jiangxi Normal University
Course: Computer Software and Theory
Keywords: Mixed questions Hybrid model Monte Carlo simulation Equivalents guidelines Three - parameter graded response model
CLC: TP399-C1
Type: Master's thesis
Year: 2008
Downloads: 178
Quote: 0
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Abstract


Equivalent in the fairness of the examination, exam construction, teaching quality evaluation and computer adaptive tests are of great significance. 0-1 score in the the IRT framework of the project reaction model Logistic model and multi-level scoring graded response model (Graded Response Model GRM) Extension Division scoring models (Generalized Partial Credit Model, GPCM). Forms with the Educational Testing Evaluation rich, more and more papers not only 0-1 scoring title, has a multi-level ratings title, we call such papers as mixed questions papers referred to as mixed questions (Multiple Item Type), China has also often use this type of exercise testing, such as doctors qualifying examination. Domestic mixed questions test equating method Logistic model as a special case of the GRM or GPCM. To determine the sake of this article assume that the multi-level scoring project suitable for GRM. GRM does not contain guessing when the project exists guess 0-1 score, this approach ignores the guess factor of the project. In order to solve this problem, the three-parameter Logistic Model and graded response model to extend the hybrid model, this model to solve the problem of the 0-1 score project guessing ignored, and developed for this model corresponding The equivalents procedures. In addition, in order to test a quiz 0-1 score project exists guess, to ignore the error caused by the size of human. In this paper, IRT characteristic curve method to solve equivalents coefficient method and concrete steps, as measured by the size of the equivalent of the coefficient estimates of error, carried a large number of Monte Carlo simulations, using the same simulation data mixed model GRM comparison, to which GRM is ignored 0-1 Grading guess. Experimental results show that the 0-1 score in a quiz the project exists guess and equivalents misused GRM, ignore the fact that in most cases than the hybrid model equivalent error, but there are significant differences, and so on The value of the error increases with the increase of guessing. Finally, taking into account the multi-level ratings project also there will be speculation, the equivalent of the IRT a new model - the three-parameter graded response model. Respectively with five different equivalent norms examine the effectiveness and adaptability of the three-parameter graded response model. The results showed that when the equivalent coefficient A value between 0.5 to 1.4 SLcrit better performance, between 1.5 to 2.0 Hcrit slightly better performance, SQRcrit Wcrit, SREcrit dominant few, winning range law.

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