| 基于蒙特卡罗方法的试卷难度分布研究 |
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| 引用本文： | 姚进,段会川,寿思诚,刘弘. 基于蒙特卡罗方法的试卷难度分布研究[J]. 计算机应用与软件, 2004, 21(9): 65-67 |
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| 作者姓名： | 姚进 段会川 寿思诚 刘弘 |
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| 作者单位： | 山东师范大学信息管理学院,济南,250014;山东师范大学信息管理学院,济南,250014;山东师范大学信息管理学院,济南,250014;山东师范大学信息管理学院,济南,250014 |
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| 摘 要： | 本文根据教育测量学理论对试题难度和试卷难度分布问题进行了概率学研究，提出了基于蒙特卡罗方法的试卷难度分布求解思路并进行了实现。文中针对常模参照性考试详细讨论了正态分布的适用范围，并讨论了蒙特卡罗方法的收敛性，同时给出了该方法的计算结果。研究表明，蒙特卡罗方法在解决试卷难度分布问题方面具有较好的优势。
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| 关 键 词： | 蒙特卡罗方法 试卷难度分布 常模参照性考试 正态分布 |
RESEARCH ON THE DIFFICULTY DISTRIBUTION OF TEST PAPERS BASED ON THE MONTE-CARLO METHOD |
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| Yao Jin Duan Huichuan Shou Sicheng Liu Hong. RESEARCH ON THE DIFFICULTY DISTRIBUTION OF TEST PAPERS BASED ON THE MONTE-CARLO METHOD[J]. Computer Applications and Software, 2004, 21(9): 65-67 |
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| Authors: | Yao Jin Duan Huichuan Shou Sicheng Liu Hong |
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| Abstract: | This paper discusses particularly the degree of difficulty of test questions and the difficulty distribution of test papers in the light of the educational measurement methodology.The thought of Monte Carlo method is proposed and realized to solve the difficulty distribution of test papers.The applicable scope,especially for the criterion related norm referenced test,of normal distribution is analyzed in detail.The astringency of the Monte Carlo method is demonstrated,and the calculation result is listed.The paper shows that the Monte Carlo method has obvious advantage in solving the difficulty distribution of test papers. |
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| Keywords: | Monte Carlo method Difficulty distribution of test papers Criterion related norm referenced test Normal distribution |
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