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442 publication date:Dec, 2013
Applying of Fuzzy Statistics in Item Difficulty
    Author:Ming-chuan Hsieh, Ber-lin Wu
Research Article

 The traditional method of using the Likert scale in questionnaires provides researchers with information of fixed scale choices, which does not allow participants fully express their candid and complex thinking. The current paper applies fuzzy statistics to examine item difficulty of questionnaires. Concepts such as fuzzy mean, fuzzy mode or fuzzy median are applied. Based on the conceptions of fuzzy statistics, we try to define a new distance, which was transformed to obtain an item difficulty index that allows the comparisons between test items. Another focus of this paper is to determine the difficulty level of test items by examining  various dimensions of difficulty factors. The weights of the dimensions of the item difficulty were compared and analyzed with the concept of fuzzy relative weight. The fuzzy difficulty index derived from this study shows promising features that is highly correlated with traditional difficulty indices. 



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關鍵詞: assessment for test difficulty, fuzzy relative weight, fuzzy statistics


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