﻿ 影响留守学生成绩因素的统计方法 Statistical Analysis of the Factors about Academic Performance of the Left-Behind Children

Vol.06 No.06(2017), Article ID:22217,6 pages
10.12677/AAM.2017.66094

Statistical Analysis of the Factors about Academic Performance of the Left-Behind Children

Miao Yang

L.A.S. Department, Chengdu College of University of Electronic Science and Technology of China, Chengdu Sichuan

Received: Sep. 8th, 2017; accepted: Sep. 22nd, 2017; published: Sep. 28th, 2017

ABSTRACT

The children whose parents work outside the home and left them at home, we call them the left-behind children. They are taken care of by grandparents or other relatives. We use contingency table methods and SPSS statistical software to analyze data. We can find the influential factors: Father’s occupation and the number of calls per week with parents.

Keywords:The Left-Behind Children, Academic Factor, Contingency Table

1. 引言

2. 列联表简介

Table 1. Contingence table

$H:{p}_{ij}={p}_{i\cdot }.{p}_{\cdot j},\text{\hspace{0.17em}}i=1,2,\cdots ,I,\text{\hspace{0.17em}}j=1,2,\cdots ,J$ .

${\chi }^{2}=\sum _{i=1}^{I}\sum _{j=1}^{J}\frac{{\left[{n}_{ij}-n\left(\frac{{n}_{i\cdot }}{n}\right)\left(\frac{{n}_{\cdot j}}{n}\right)\right]}^{2}}{n\left(\frac{{n}_{i\cdot }}{n}\right)\left(\frac{{n}_{\cdot j}}{n}\right)}=\sum _{i=1}^{I}\sum _{j=1}^{J}\frac{{\left[n{n}_{ij}-{n}_{i\cdot }{n}_{\cdot j}\right]}^{2}}{n{n}_{i\cdot }{n}_{\cdot j}}$

$P值=P\left\{{\chi }^{2}\left(\left(I-1\right)\left(J-1\right)\right)>{\chi }^{2}\right\}$

$I=J=2$ 时，列联表中只有4个格子，称为“四格表”，这时Pearson ${\chi }^{2}$ 统计量计算式可简单化为

${\chi }^{2}=\frac{n{\left({n}_{11}{n}_{22}-{n}_{12}{n}_{21}\right)}^{2}}{{n}_{1\cdot }{n}_{2\cdot }{n}_{\cdot 1}{n}_{\cdot 2}}$

3. 列联表分析影响因子

3.1. 父亲文化程度与成绩表现

3.2. 母亲文化程度与成绩表现

3.3. 父亲职业与成绩表现

Table 2. Contingence table of fathers’ educational level and student performance on tests

Table 3. Chi-square test table of fathers’ educational level and student performance on tests

Table 4. Contingence table of mothers’ educational level and student performance on tests

Table 5. Chi-square test table of mothers’ educational level and student performance on tests

3.4. 母亲职业与成绩表现

3.5. 和父母每个星期通话次数与成绩表现

Table 6. Contingence table of fathers’ occupation and student performance on tests

Table 7. Chi-square test table of fathers’ occupation and student performance on tests

Table 8. Contingence table of mothers’ occupation and student performance on tests

Table 9. Chi-square test table of mothers’ occupation and student performance on tests

Table 10. Contingence table of number of calls per week with parents and student performance on tests

Table 11. Chi-square test table of number of calls per week with parents and student performance on tests

4. 结束语

Statistical Analysis of the Factors about Academic Performance of the Left-Behind Children[J]. 应用数学进展, 2017, 06(06): 781-786. http://dx.doi.org/10.12677/AAM.2017.66094

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