基于蒙特卡罗方法的试卷难度分布研究  

RESEARCH ON THE DIFFICULTY DISTRIBUTION OF TEST PAPERS BASED ON THE MONTE-CARLO METHOD

作　　者：姚进[1] 段会川[1] 寿思诚[1] 刘弘[1] 

机构地区：[1]山东师范大学信息管理学院,济南250014

出　　处：《计算机应用与软件》2004年第9期65-67,共3页Computer Applications and Software

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 。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.

关 键 词：试题难度 试卷难度分布问题 蒙特卡罗方法 考试系统 数学模型 

分 类 号：G424.79[文化科学—课程与教学论]