政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/110633

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政大機構典藏 > 理學院 > 應用數學系 > 期刊論文 > Item 140.119/110633

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題名:	A Statistical Analysis of Independent Test Items - A Parametric Approach
作者:	宋傳欽 Jinn, Jann-Huei Lu, Chin-Chuan
貢獻者:	應數系
關鍵詞:	classical test theory, difficulty index, discrimination index, independent test items, non-parametric method, parametric method, probability generating function
日期:	2014
上傳時間:	2017-06-29 11:10:10 (UTC+8)
摘要:	Based on the basic concepts in classical test theory (CTT), a parametric method is proposed to develop the computational formulas of difficulty index and discrimination index for independent test items. Unlike the existing nonparametric method in CTT, this new method would take, in addition to the performance of the high and the low groups, that of the middle group into account and may provide results with more information about these two indexes. It shows further that both computational formulas depend only on the odds of correctness in each item. We also provide an efficient computing algorithm by using the probability generating function technique for estimating both index values. A real testing data set is given for empirical study and the results are compared with those obtained by the non-parametric method. Discrepancies between these two methods are also discussed in this study.
關聯:	JP Journal of Fundamental and Applied Statistics, 6(1&2), 1-22
資料類型:	article
顯示於類別:	[應用數學系] 期刊論文

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