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題名 | 經驗貝氏估計在項目反應理論上之應用=Application of Empirical Bayes Methods in Item Response Theory |
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作者 | 黃文濤; 應立志; Huang, Wen-tao; Ying, Li-chih; |
期刊 | 技術學刊 |
出版日期 | 19970600 |
卷期 | 12:2 1997.06[民86.06] |
頁次 | 頁345-352 |
分類號 | 319.9 |
語文 | chi |
關鍵詞 | 項目反應理論; 二元三參數羅吉斯模型; 經驗貝氏; Item response theory; Three-parameter logistic model; Empirical bayes; |
中文摘要 | 本文使用項目反應理論(IRT)並假設各項目反應為二元的三參數羅吉斯模式 (dichotomous 3-parameter logistic model),考慮各項目之參數均相同之情形。在各項目 之參數不全相同時,考慮在貝氏架構 (Bayes framework) 下(此時受測者在 n 個項目中答 對 x 題之機率呈二項分配), 藉助 Walter and Hamedani 之經驗貝氏法 (empirical Bayes method) 可求出一群受測者回答某份測驗時,答對機率之平均數的估計值,並作模擬 研究。 |
英文摘要 | This paper first employs the item response theory (IRT) and assumes that item responses follow a dichotomous three-parameter logistic model. This approach is used for the case in which the item parameters of each test item are all equal. For the case in which they are not equal, we consider the Bayesian approach. Applying the empirical Bayes methods proposed by Walter and Hamedani, we obtain can estimate of the mean probability of correct responses to n items tested by a group of examinees. A simulation study is also presented. |
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