大学生考试作弊行为的数学模型  

A Mathematical Model of College Students Cheating in Exams

作　　者：王国兴 黄丽转 WANG Guo-xing;HUANG Li-zhuan(Lanzhou University of Finance and Economics,Lanzhou 730020,China)

机构地区：[1]兰州财经大学

出　　处：《廊坊师范学院学报（自然科学版）》2019年第3期8-11,共4页Journal of Langfang Normal University(Natural Science Edition)

基　　金：兰州财经大学2016年度教学研究项目(LJY201616);兰州商学院2013年度重点科研项目(LZ201302)

摘　　要：根据调查问卷所得结果,首先,建立Warner模型,计算得学生作弊的概率为58.37%,标准差为0.0621。再对Warner进行优化,得到Simmons模型,利用此模型计算学生作弊概率为45.9%,标准差为0.04354。最后,对模型进行再次升级,得到Christofides模型,计算得学生作弊概率为38.02%,标准差为0.0414。比较标准差的大小可知Christofides模型为最优模型。According to the questionnaire results, firstly, Warner model calculated the probability of students to cheat is58.37% and the standard deviation is 0.0621.Secondly,optimizing the Warner model, we can get Simmons model, which probability of students to cheat is 45.9% and the standard deviation is 0.04354. Finally, to upgrade the model again, we will get Christofides model calculated the students cheating probability is 38.02% and the standard deviation is 0.0414. Comparing the above three standard deviations,Christofides model is the optimal model.

关 键 词：WARNER模型 Simmons模型 Christofides模型 统计分析 

分 类 号：O211[理学—概率论与数理统计]