﻿ 高校公共课程“概率论和数理统计”的考试成绩分布规律探索—以扬州大学为例 Study on the Distribution Law of Exam Scores of Public Course “Probability and Mathematical Statistics” in Colleges and Universities—Take Yangzhou University as an Example

Statistics and Application
Vol.06 No.03(2017), Article ID:21715,18 pages
10.12677/SA.2017.63038

Study on the Distribution Law of Exam Scores of Public Course “Probability and Mathematical Statistics” in Colleges and Universities

—Take Yangzhou University as an Example

Jingyuan Li, Fabao Gao*

College of Mathematical Science, Yangzhou University, Yangzhou Jiangsu

*通讯作者。

Received: Jul. 23rd, 2017; accepted: Aug. 10th, 2017; published: Aug. 16th, 2017

ABSTRACT

Based on the exam scores of undergraduates’ public course “Probability and Mathematical Statistics” in Yangzhou university during the two-year period of 2014-2016, the method of variance analysis is used to investigate the various students’ majors and different teachers. It is found that the students with different majors form science and engineering disciplines do not have significant differences. Yet students’ performance is marked difference obviously in the diverse majors from management discipline. In addition, we also become aware that there is an interaction between students’ majors and different teachers; the gap between students in science and engineering as well as in management is obvious. However, the student’s performance gap is not great for different teachers who teach the same major or the same teacher who teaches different majors under the same discipline.

Keywords:Distribution Law of Students’ Scores, Variance Analysis, Interaction

—以扬州大学为例

1. 引言

2. 不同专业学生成绩的方差分析

2.1. 正态性检验

2.2. 方差齐性检验

2.3. 方差分析

Figure 1. P value bar chart for all majors

Figure 2. Box chart of exam scores from different majors

Table 1. Results of standard experiment

Table 2. ANOVA table

2.4. 多重比较

3. 不同老师教授学生的成绩的方差分析

Figure 3. Scores difference chart

Figure 4. Different teachers’ score box chart

4. 不同教师和不同专业学生的交互作用

Figure 5. Analysis chart of students’ differences in teaching performance

4.1. BF老师与教授专业的交互作用

BF老师所教授的专业有工商，软件，土建和土交，对这四个专业的学生成绩进行方差分析，观察其成绩分布。直观起见我们只观察其方差分析的箱线图和多重比较的交互式图形(见图6)。

4.2. BZ老师与教授专业的交互作用

BZ老师所教授的专业有工商，国贸，网络和金融，对这四个专业的学生成绩进行方差分析，观察其方差分析的箱线图和多重比较的交互式图形(见图7)。

Figure 6. BF and professional interaction diagram

4.3. DY老师与教授专业的交互作用

DY老师所教授的专业有测控和电子，对这两个专业的学生成绩进行方差分析，观察其方差分析的箱线图和多重比较的交互式图形(见图8)。

Figure 7. BZ and professional interaction diagram

4.4. HY老师与教授专业的交互作用

HY老师所教授的专业有电商，国贸和会计，对这三个专业的学生成绩进行方差分析，观察其方差分析的箱线图和多重比较的交互式图形(见图9)。

Figure 8. DY and professional interaction diagram

4.5. LS老师与教授专业的交互作用

LS老师所教授的专业有财务和会计，对这两个专业的学生成绩进行方差分析，观察其方差分析的箱线图和多重比较的交互式图形(见图10)。

Figure 9. HY and professional interaction diagram

4.6. QG老师与教授专业的交互作用

QG老师所教授的专业包括环工、信息和自动，对这三个专业的学生成绩进行方差分析，观察其方差分析的箱线图和多重比较的交互式图形(见图11)。

Figure 10. LS and professional interaction diagram

4.7. YC老师与教授专业的交互作用

YC老师所教授的专业有财务、金融和会计，对这三个专业的学生成绩进行方差分析，观察其方差分析的箱线图和多重比较的交互式图形(见图12)。

Figure 11. QG and professional interaction diagram

4.8. QJ老师与教授专业的交互作用

QJ老师所教授的专业有网络，物联，信息，电子和软件，对这五个专业的学生成绩进行方差分析，观察其方差分析的箱线图和多重比较的交互式图形(见图13)。

Figure 12. YC and professional interaction diagram

4.9. RD老师与教授专业的交互作用

RD老师所教授的专业有广陵信科和广陵营销，对这两个专业的学生成绩进行方差分析，观察其方差分析的箱线图和多重比较的交互式图形(见图14)。

Figure 13. QJ and professional interaction diagram

4.10. YZ老师与教授专业的交互作用

YZ老师所教授的专业有软件，土建，物联，电子，测控，电商，信息和自动，对这八个专业的学生成绩进行方差分析，观察其方差分析的箱线图和多重比较的交互式图形(见图15)。

Figure 14. RD and professional interaction diagram

5. 结论

Figure 15. YZ and professional interaction diagram

Study on the Distribution Law of Exam Scores of Public Course “Probability and Mathematical Statistics” in Colleges and Universities—Take Yangzhou University as an Example[J]. 统计学与应用, 2017, 06(03): 333-350. http://dx.doi.org/10.12677/SA.2017.63038

1. 1. 扬州大学教务处. 本科生公共课“概率论与数理统计”的考试成绩数据. 2014-2016年度.

2. 2. 宗序平. 概率论与数理统计[M]. 北京: 机械工业出版社, 2011.

3. 3. 宗序平. 数理统计学及其应用(使用Matlab) [M]. 北京: 机械工业出版社, 2016.

4. 4. 谢中华. Matlab统计分析与应用: 40个案例分析[M]. 北京: 北京航空航天大学出版社, 2015.