基于蒙特卡罗方法的试卷难度分布研究.pdfVIP

　　　 , 2004 年 9 月 　　 Computer Applications and Software Sep 2004 基于蒙特卡罗方法的试卷难度分布研究 姚 　进 　段会川 　寿思诚 　刘 　弘 ( 山东师范大学信息管理学院　济南 250014) 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 。 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 D IFFICUL TY D ISTRIBUTION OF TEST PAPERS BASED ON THE MONTECARLO METHOD Yao Jin 　Duan Huichuan 　Shou Sicheng 　Liu Hong ( ) School of Inf ormation Management , Shandong Normal University , J inan 250014 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 MonteCarlo method is proposed and realized to solve the difficulty distribution of test papers. The applicable scope ,especially for the criterionrelated normreferenced 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 MonteCarlo method has obvious advantage in solving the difficulty distribution of test papers. Keywords 　　MonteCarlo method 　Difficulty distribution of test papers 　Criterionrelated normreferenced test 　Normal distribution 本计算公式为 : 1 　引　言 R