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THE ANALYSIS OF INEQUALITY BASED ON
CEPS:EDUCATIONAL ACHIEVEMENT,PHYSICAL STATUS AND
FINANCIAL STATUS
BY
HAO ZHENXU
STUDENT NO. 13252291
A PROJECT SUBMITTED IN PARTIAL FULFILLMENT OF
THE REQUIREMENTS FOR THE DEGREE OF
BACHELOR OF SOCIAL SECIENCES(HONOURS) DEGREE
IN CHINA STUDIES
ECONOMICS CONCENTRATION
HONG KONG BAPTIST UNIVERSITY
APRIL 2018
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HONG KONG BAPTIST UNIVERSITY
April 2018
We hereby recommend that the Project by Mr. HAO ZHENXU entitled “THE
ANALYSIS OF INEQUALITY BASED ON CEPS: EDUCATIONAL ACHIEVEMENT,
PHYSICAL STATUS AND FINANCIAL STATUS”
Be accepted in partial fulfillment of the requirements for the Bachelor of Social Sciences
(Honours) Degree in China Studies in Economics.
_________________ __________________
Dr. Wang Ruixin Dr.
Project Supervisor Second Examiner
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Acknowledgements
I would like to thank my supervisor Dr. Wang Ruixin for suggesting the research topic and
guiding me through the entire study. Thanks also due to Professor Ruan Danching for her
assistance in knowledge about sociology of education.
_____________________
Student’s signature
China Studies Degree Course
(Economics Concentration)
Hong Kong Baptist University
Date : ________________
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Table of Contents:
Introduction----------------------------------------------------------------------------------4
Literature Review---------------------------------------------------------------------------6
Methodology---------------------------------------------------------------------------------11
Data Source-----------------------------------------------------------------------------------14
Empirical Result and Interpretation----------------------------------------------------16
Conclusion------------------------------------------------------------------------------------56
References-------------------------------------------------------------------------------------58
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Introduction
Since the first version law of compulsory education was announced in 1986, the
compulsory education has developed for decades. The law of compulsory education was
edited in 2006. The main addition is that education should be made sure to be developed in
an equal way. In other ways, government tries to place actions to the inequality among
compulsory education. Also many scholars like (Jane and Sherry, 2016) show that the
achievements of expanding educational system produce significant educational inequality
form varied dimensions. The educational inequality plays an important role in shaping the
society. For example of economics perspective, Nannan Yu , Bo Yu , Martin de Jong and
Servaas Storm(2015) point out that educational inequality is relative to China’s economic
growth, especially in some far developed areas of China. It’s shared that there are many
successful works about educational inequality of compulsory education. However, this
paper still wants to expand the studies in this field. To author’s knowledge, some works
study in educational attainment (like years of schooling or admission rate), few studies talk
about inequality of educational achievement (like academic results). Even there are many
studies about the government expenditure in China and higher education inequality
(university) in China, few studies have talked about the inequality of education
achievement in lower level education with county level data. This paper tries to present the
education inequality via a new perspective. The object of this paper is to talk about the
inequality of compulsory education within a selected period but with a wide range of
considerations. As showed in the title, there are 3 main parts to analyze. And this paper
uses a county level data in a relatively new period. Besides, the main method of analysis is
to show the inequality decomposition based varied groups from classification. The
classification is related to some polices from government .So another purpose is to provide
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government a new look of inequality in compulsory education. Finally, this paper holds an
ambition to offer some experiments and ways of logic to analyze the education inequality in
the future.
The hypothesis is that inequality exists and the contributions of group-group divides to
overall inequality are at a certain degree. From the results, the paper proves the inequality
exists and also presents the contributions. From the inequality decomposition, readers can
easily find out the inequality form groups with advantage and disadvantage. From the
difference, it’s also easy to find the effect from polices.
This paper consists of several parts. In literature review part, this paper will quote some
studies that deeply influence author to write this paper and do the research. In methodology
part, this part will illustrate the ideas about how to find inequality, how to decompose the
inequality and some sociology theories about education. Besides, this part illustrates how to
do the classification. In data sources part, the origin and brief introduction of the dataset
and variables are included. In empirical results and interpretation part, this paper depicts the
result of inequality, inequality decomposition. Also this part includes analysis about the
result by using comparison. Within the empirical results and interpretation part, the content
is divided into three parts. First part is the core part of the whole paper. The second and
third parts play complementary roles in this paper to show a more comprehensive look of
the students in CEPS. First part includes all results of this paper about educational
achievement and cognitive achievement of students survived by CEPS. Second part talks
about the physical status of the students via same methods to do analysis. Third part
contains financial status of the students and is analyzed in the same way. Finally, the
conclusion part will summarize the observation and analysis.
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Literature Review
Educational inequality is always a hot topic to study. This paper learns the method and
logic form the paper (Kanbur and Zhang,1999). Kanbur and Zhang (1999) points out the
serious income inequality of urban-rural and inland –coastal. Also, Kanbur and Zhang
(1999) use inequality decomposition to find out contribution of different groups. They
find very high contribution of urban-rural divide and inland-coastal to overall inequality.
This paper learns how to measure inequality and how to do inequality decomposition from
their paper (Kanbur and Zhang, 1999). Compulsory education in China is always important
for Chinese society.
Other papers of studies about education inequality in China also provide this paper a lot of
help. These papers use different method to describe and demonstrate the educational
inequality of China form different perspective. To author’s knowledge, Wang’ paper seems
to be the oldest paper to present the education in rural region. Wang (1991) shows a case
study about the beginning of compulsory education system in China. The paper (1991)
recognizes the compulsory education system as a result of modernization of China. The
research paper ( Wang, 1991) tries to examine and evaluate the development of the
compulsory education via documentation review , questionnaire , observation and interview.
Wang (1991) also calls for more attention to the rural compulsory education system which
is a huge burden for Chinese peasants. Also, another paper about rural education in China
brings this paper a closer look to rural education in China. Hannum and Kong (2007)
describe the real education situation in rural area of Gansu province in China. The paper
describes and presents the situation of education resource in rural and poor area in China.
This paper describes many type types of resources, including basic facilities, financial
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arrangement, situation about teachers and classroom environment. Hannum and Kong
(2007) noted some barriers for the education in rural area, like economic factor and
teacher labor resource. These works use their ways to show the author a shocked fact of
rural education. It’s one of the reasons that urban-rural inequality is the point that this paper
focuses on.
As mentioned in title and introduction, this paper uses three categories through the content:
educational achievement, financial status and physical status. The idea is from these
published papers showed in the literature review part. Also, the logic of classification is
learnt from these published papers.
For example, the papers of Ding and Wang play important roles in the part of financial
status in this paper. Ding (2005) talks about the financial inequality of compulsory
education system. The book (Ding, 2005) shows the history and development of
compulsory education in China. Ding (2005) also points out that grants from the
government to the disadvantaged students are too small to solve the financial inequality
problem. The paper (Ding, 2005) also illustrates that the fiscal-transfer projects are
increasing the grants and will target more disadvantaged students. Wang (2014) also pays
attention to the inequality within the compulsory education from a financial perspective.
Based on the data form 1998 to 2008, the paper (Wang, 2014) presents the inequality in
compulsory education finance via the method of factor decomposition and GINI coefficient
decomposition. Also, the analysis in the paper (Wang, 2014) demonstrates that some
factors may deteriorate the inequality situation in this period of 10 years. For example,
GDP per capita presents a show power to drive up inequality.
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For the logic of classification that will be mentioned in methodology part, these published
works offer a clear direction. For example, different household system(hukou) and mobile
status(local or migrant) are main classifications in this paper. The ideas are from works of
Wu, Hao and Yu. Wu (2011) talks about the urban-rural inequality in contemporary China
related to household registration system (hukou). The paper (Wu, 2011) obviously shows
that there is a significant gap between people’s education attainment due to different
hukou status. Wu (2011) notes that people with agriculture hukou have disadvantages in
education attainment. The paper (Wu, 2011) recognizes that it is hard to find many
countries like China to use a strong policy intervention( hukou system) to create
stratification. Hao and Yu (2015) analyze the education inequality in China from the
viewpoints of national policies. The paper (Hao and Yu, 2015) also uses CEPS as data
resource. Hao and Yu (2015) point out the education inequality in compulsory system and
call for the new policies or polices change to correct the inequality issue. Since policy
issues is the main factor for the paper (Hao and Yu, 2015), Hao and Yu (2015) illustrate
that hukou system (household registration system) is a huge obstacle for EFA (education
for all) goal in China. Migrated students are vital factors in CEPS. Hao and Yu (2015) also
summarize the policies change about migrant children. From the policy changes in past
decades, the government also tries to alleviate the serious inequality in education.
When considering how to classify the urban and rural, some papers about consolidation of
school are vital factors. Consolidation of schools applied for over 10 years in rural area
plays very important role in the development of rural education. The action of consolidation
is started in 2001 and officially banned in2012. Zhang (2014) presents the benefits and
problems duo to the consolidation in China. The paper (Zhang. 2014) demonstrates that
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consolidation school policy tries to balance the inequality of education between urban and
rural .However, Zhang (2014) also reveals that consolidation school policy never increases
the education quality of rural education but increases the drop-out rate of rural students.
Shan and Wang (2015) hold the similar point that the purpose of consolidation of rural
school is to lower the education coast for their rural area. However, inequality of education
among regions is never alleviated by the consolidation.
In terms of the part about physical status, some papers also give this paper a hint to find a
suitable variable. Xu (2014) talks about the physical growth, mental health of children (age
7-18) in China. The paper (Xu, 2014) mentions the trend of poor eyesight for children in
China and calls for more attention to face the risk and challenge of children’s health
development in China.
From some papers, the attitudes to compulsory education are also found. Many papers
believe that the compulsory education is the right action for government to keep even the
inequality among compulsory education exists. Liang and Li (2012) use their paper to
illustrate that compulsory education brings huge benefits to China. For example,
compulsory education equips a large amount of population with basic education. The
population with basic education level is an important resource of cheap and skilled labor for
China’s rapid economic growth. The paper (Liang and Li, 2012) recognize compulsory
education expansion and establishment of national examination for college entrance as
speechless revolution for China. However, the education inequality is still serious. For
example, form the admission data of Peking University and Suzhou University, rural
students are less likely admitted by First Tier University in China. Their paper also reflects
the EMI theory to show the high level education inequality in China. Yang, Huang and
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Liu(2014) also hold positive attitudes to compulsory education. Yang, Huang and Liu
(2014) illustrate the inequality in education and the formation mechanism of the
educational inequality. The paper (Yang, Huang and Liu, 2014) points out that even the
education expansion policy alleviates the inequality, the situation of education inequality is
still serious and educational development gap among regions is still deep. Yang, Huang and
Liu (2014) also call for attention from government to balance the situation and help the
people in disadvantaged categories.
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Methodology:
Getting inspired by the paper about income inequality written by Kanbur and Zhang(1999),
this paper also uses GE (1) or Theil index and Gini coefficient to measure the inequality of
educational achievement, financial support from government and students’ physical
development. Higher Theil index and Gini coefficient are, higher level inequality
exists .The more important analysis is about the inequality decomposition .Due to that
generalized entropy (GE) class of inequality measure is adopted and GE measure is
addictively decomposable, this paper uses formula showed below.
11, I(y)= ∑ ( )
(
) (
) , c=1 μ=total sample mean ,yi= ith individual’s grade ,
(yi)= the population share of yi in total population, n = total population
2, For K exogenously given groups indexed by g ,
I(y) = ∑ ( ) ,
(μ μ )=between-group inequality, ∑ = within-group inequality
μg= mean of gth group ,Ig =inequality in gth group ,eg is a vector of one of length ng,,
ng is population of gth group .
3, = g(μg/μ) [gth group population share * relative mean of gth group], c=1
gth group ‘s contribution to total inequality =
( )
Inter- group contribution to total inequality is 100% minus sum of all groups ’contributions.
1 Ravi, K. & Xiaobo , Z.(1999) . Which Regional Inequality? The Evolution of Rural–Urban
and Inland–Coastal Inequality in China from 1983 to 19951 . Journal of Comparative Economics , 27, 691
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As mentioned before, inequality decomposition plays a crucial role in this paper. So the
method to classify the variables must be very rational and has its social meaning. It is
generally shared that there are some main factors playing important roles in education
achievement and cognitive ability. This paper considers family influence, social influence
and school influence as principles to do classification. This paper uses parents’ educational
levels to measure family influence. Institutional factors include social arrangements, like
government policies, laws, regulations, institutions and so on. This paper uses hukou
system (household registration system), government support to school, policies for migrant
students and location of school to measure institutional influence.
In this paper, these 3 directions are measured by different variables. (Table 2-12) For
family influence, parents’ education level is used to measure the family influence. The
criteria is that whether the student’s mother or father has a higher education than their
children (middle school) .For school influence , school’s ownership and location are
classified and measure . All types of schools are divided into group based on whether the
school can get government support .For schools defined as school with government support,
they include public school and private school with government support (“minbangongzhu”).
For schools defined as schools without government support, they are ordinary private
school, private migrant children’s school and other types. All types of school location are
reorganized into two categories: urban or rural. For urban locations, they include central
district of city or county, marginal district of city or county, rural-urban continuum of city
or county and town of city or county. Rural location means countryside area. In terms of
social influence, HUKOU system is the main factor that this paper focuses on. In this paper,
HUKOU system divided students into different groups. On the one hand, this paper makes
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research on the inequality of students with agricultural HUKOU and non-agricultural
HUKOU .On the other hand, this paper studies local students and immigrated students
(whether the school location they enrolled in is same to the residence showed on their
HUKOU). Besides the first-step classification, this paper continues a second-step
classification. Among all schools with government support, there is a new classification up
to the schools’ location: urban or rural. (Table 13) Also, this paper divides all urban schools
into two groups based on whether the schools get government support (Table 14).
Effectively Maintained Inequality theory will be used in analysis about the result and may
explain the origin of the inequality. EMI theory is useful to explain the inequality issue.
EMI theory is also used for divide students into advantaged group and disadvantaged group.
EMI theory shows (Liu, 2016) that the effects of social origin on educational attainment
would not decrease, even if a given level of education became universal. It also reveals that
(Raftery and Hout, 1993) more advantaged social classes would seek to secure qualitatively
better types of education in the face of expansion of educational opportunities for other
groups.
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Data Source
This paper uses CEPS dataset to do the research. CEPS is China Education Panel Survey
organized by RENMIN University of China .CEPS is started on 2013-2014 semester for
students of grade 7 and grade 9 .Due to the average education level and population mobility
ratio ,CEPS randomly select 28 county level units. Firstly, CEPS selects 15 county level
units from overall 2870 county level units in mainland of China. Secondly, CEPS selects 3
county level units from 18 units of Shanghai city. Because Shanghai is a very special super
city for its economic performance, large amount of migrants and big population .Thirdly, it
selects 10 units from 120 counties of china with big mobilized population. Among these 28
county level units, CEPS randomly select 4 schools per unit and gets 112 schools. When
selecting classes, CEPS will contain all classes in Grade 7or Grade 9 of the school if there
is only one or two classes in this school .For school with more than 2 classes in grade
7/Grade 9, CEPS will randomly select 2 classes. After the selection, there are 438 classes
and nearly 20,000 students in CEPS.
CEPS is operated by questionnaire .The questions in the survey are so comprehensive that
the results can offer accurate and detailed data for the scholars , policy makers or
administrators in school. CEPS 2013 only includes data and results from Grade7 and Grade
9 students. This paper uses midterm results in three subjects (Chinese, mathematics,
English), original and standardized scores of cognitive test to measure educational
achievement. And this paper uses appropriation and eyesight situation to measure financial
status and physical status respectively. This paper also utilizes the characteristics of the
school (location, ownership), hukou system of students, education level of students’ parents
and mobility status of students from CEPS.
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For an overall view of the educational development in middle school, this paper also uses
Chinese education reports (2007-2015) from Chinese department of education .These
reports reveal basic information about middle school of China .For example, the number of
middle school, the number of freshman and graduate, the ratio of graduate and admission to
high school and the number of teachers.
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Empirical Result and Interpretation
Middle school condition in China (unit: 10,000)2
From the statistics of China official record ,the number of middle school , the number of
freshman and graduate decrease during the period .The trend is in line with the low
fertility rate and follow-up effect of one –child policy .For graduation and admission to
high school ratio , the ratios follow an increasing trend ,even there was a little bit decrease
2 Ministry of education of People’s Republic of China
http://www.moe.gov.cn/jyb_xwfb/gzdt_gzdt/moe_1485/tnull_34073.html
http://www.moe.gov.cn/s78/A03/ghs_left/s182/moe_633/201002/t20100205_88488.html
http://www.moe.gov.cn/srcsite/A03/s180/moe_633/201008/t20100803_93763.html
http://www.moe.gov.cn/srcsite/A03/s180/moe_633/201203/t20120321_132634.html
http://www.moe.gov.cn/srcsite/A03/s180/moe_633/201208/t20120830_141305.html
http://www.moe.gov.cn/srcsite/A03/s180/moe_633/201308/t20130816_155798.html
http://www.moe.gov.cn/srcsite/A03/s180/moe_633/201407/t20140704_171144.html
http://www.moe.gov.cn/jyb_xwfb/gzdt_gzdt/s5987/201507/t20150730_196698.html
http://www.moe.gov.cn/srcsite/A03/s180/moe_633/201607/t20160706_270976.html
Number of
middle
school
Number
of
freshman
Number of
graduate
Graduate and
admission to high
school ratio
Number of
Middle school
teacher
2007 5.94 1868.5 1963.71 80.48% 347.3
2008 5.79 1859.6 1867.95 83.4% 347.55
2009 5.63 1788.45 1797.7 85.6% 351.8
2010 5.49 1716.58 1750.35 87.5% 352.54
2011 5.41 1634.73 1736.68 88.62% 352.45
2012 5.32 1570.77 1660.78 88.4% 350.44
2013 5.28 1496.09 1561.55 91.2% 348.1
2014 5.26 1447.82 1413.51 95.1% 348.84
2015 5.24 1411.02 1417.59 94.1% 347.56
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in 2012. This increasing trend seems exciting .Because it suggests more percentage of
students can attain high school education .However, it also reflects more fierce competition
in job market .For the number of teachers working in middle school, it increased from 2007
to 2010 with the largest amount and gradually decreased to the same amount in 2007 .This
trend is related to the dropping number of middle school.
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Empirical Result and Interpretation
Table 1
Inequality Measure
Table 1 shows GE(1)index/ Theil index and GINI coefficient of all the dependent
variables that the paper focus on .Higher theil index and higher Gini coefficient reveal
higher level of inequality . Educational achievement and cognitive ability of grade 9
students have higher Theil index and GINI coefficient than those of grade 7 students.
Appropriation for students also has a high Theil index and GINI coefficient. Among all
the categories, standardized scores of students’ cognitive ability has the highest GE (1)
index and GINI coefficient, regardless of different grades. As showed in many paper about
financial inequality of compulsory education in China, the second highest inequality shows
in the category of appropriation per student. The inequality of three main subjects in middle
school in China(Chinese ,mathematics ,English) are also revealed in the table 1.Among
Category GE(1)/Theil index GINI
Original Chinese mid-term grade7 0.03050 0.12500
Original Math mid-term grade7 0.07682 0.20265
Original English mid-term grade7 0.06424 0.19090
Standardized scores of students'
cognitive ability (grade 7)
0.27144 0.40470
Original scores of students'
cognitive ability
(grade 7)
0.05473 0.18169
Original Chinese mid-term grade
9
0.03632 0.14191
Original Math mid-term grade 9 0.11113 0.25430
Original English mid-term grade 9 0.09746 0.24528
Standardized scores of students'
cognitive ability(grade 9)
0.27359 0.40772
Original scores of students'
cognitive ability
(grade 9)
0.09288 0.23994
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these 3 subjects , mathematics test scores express highest level of inequality. Compared to
scores of these 3 subjects for grade 7 students, scores of grade 9 students attain higher
inequality. The same result of comparison also shows in the cognitive ability test,
regardless the original scores or standardized scores .Scores of Grade 9 students have
higher inequalities than those of Grade 7 students.
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Table 2
Mean and Ratio
In Table 2, this paper divides students into two groups based on their school’s ownership
(whether get support from government).The hypothesis of the comparison is mostly in line
with the real mean comparison in Table 2. Generally ,schools with government support are
very likely offer better quality education .So the scores of students in schools with
government support will be higher than those of students in schools without
government .For the categories of this paper, most of them don’t reject the
hypothesis ,except scores of Original Chinese mid-term in grade7, Original Chinese and
English mid-term grade 9.From the column of the ratio, the appropriation per student
category has the highest ratio ,which is consistent with the hypothesis that students in
school with government support get more financial support than students in school without
Category With government
support
Without
government support
With/without
Original Chinese mid-term grade7 79.01161 80.82759 0.97753
Original Math mid-term grade7 77.32462 69.91154 1.10604
Original English mid-term grade7 83.01426 74.66692 1.11179
Standardized scores of students'
cognitive ability (grade 7)
0.71014 0.70600 1.00586
Original scores of students'
cognitive ability
(grade 7)
10.81030 9.76955 1.10653
Original Chinese mid-term grade 9 86.90387 92.48430 0.93966
Original Math mid-term grade 9 79.59742 79.05785 1.00683
Original English mid-term grade 9 75.43179 79.55620 0.94816
Standardized scores of students'
cognitive ability(grade 9)
0.72143 0.62796 1.14885
Original scores of students'
cognitive ability
(grade 9)
9.12773 8.49109 1.07498
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government support .To sum up ,inequality of education achievement can be observed
between different school ownership in Table 2.
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Table 3
Mean and Ratio
In Table 3, this paper divides students into 3 groups up to different institutional
characteristic (hukou system in China) :agriculture ,non-agriculture and other(in some
region ,there is no agriculture or non-agriculture).From the table ,all scores of students with
non-agriculture hukou system are higher than those of students with agriculture . From the
column of ratio, the largest is appropriation per students. In China, hukou system always
plays a crucial role in people’s life. Non-agriculture hukou in first cities of
China(Beijing ,shanghai ,Guangzhou ,Shenzhen ) provides owners privilege in property
and car purchasing and other social welfare including education .So the inequality of
education achievement can be found in students with different HUKOU systems in Table 3.
Category Agricultural
Hukou
Non-
agriculture
Hukou
others Non/ag
Original Chinese mid-term
grade7
77.43469 85.29963 77.59645 1.10157
Original Math mid-term
grade7
73.16931 86.60632 76.19185 1.18364
Original English mid-term
grade7
78.36368 93.46482 81.51763 1.19271
Standardized scores of
students' cognitive ability
(grade 7)
0.63874 0.78629 0.74508 1.231
Original scores of students'
cognitive ability
(grade 7)
10.24013 11.85108 10.84861 1.15732
Original Chinese mid-term
grade 9
84.72320 91.79776 89.99486 1.0835
Original Math mid-term
grade 9
75.66242 87.54916 81.84714 1.1571
Original English mid-term
grade 9
69.91393 85.31738 81.15376 1.22032
Standardized scores of
students' cognitive
ability(grade 9)
0.62140 0.80775 0.79209 1.29989
Original scores of students'
cognitive ability
(grade 9)
8.33857 10.32587 9.73110 1.23833
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Table 4
Mean and Ratio
In Table 4, this paper divides students into 2 groups (urban and rural) based on their
schools’ locations. The hypothesis is that urban schools can offer higher quality
education .Therefore students in urban schools get higher scores than those in rural schools.
Consistent with hypothesis, the scores of all subjects in urban category are higher than
those in rural category. From the ratio column, the largest ratios are from standardized
scores of students’ cognitive ability in Grade 7 and Grade 9. Ratios of students’ scores in
Grade 9 are higher than those of students’ scores in Grade 7 in the subject of Chinese,
English and original scores of students’ cognitive ability. Generally, Table 4 shows
inequality of educational achievement exits in categories of urban and rural.
Category Urban Rural Urban/Rural
Original Chinese mid-term grade7 80.01067 75.01160 1.06664
Original Math mid-term grade7 78.69469 68.11808 1.15527
Original English mid-term grade7 84.11330 74.73532 1.12548
Standardized scores of students'
cognitive ability (grade 7)
0.73640 0.53493 1.37663
Original scores of students'
cognitive ability
(grade 7)
10.9622 9.68386 1.132
Original Chinese mid-term grade 9 88.55792 81.66103 1.08446
Original Math mid-term grade 9 81.03613 73.07639 1.10892
Original English mid-term grade 9 78.33691 64.16908 1.22079
Standardized scores of students'
cognitive ability(grade 9)
0.74294 0.54185 1.37112
Original scores of students'
cognitive ability
(grade 9)
9.38580 7.76467 1.20878
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Table 5
Mean and Ratio (mother’s education)
In Table 5, the comparison of scores depends on student mothers’ different education level.
Higher education means the mother has a higher education level (higher than middle school)
than the students. Generally, parents with higher education level have a more positive
family influence in students’ educational achievement. For example, parents with higher
education level are more likely to help students in study, pay more attention to students’
education and have higher expectations about students’ further study. Consistent with the
hypothesis, students with higher education level mothers get higher scores in all categories.
From the column of ratio, scores of students in Grade 9 have high ratios than those of
students in Grade 7. For scores of all categories in Grade 7 students, standardized scores of
Category Lower education Higher education Higher/lower
Original Chinese mid-term grade7 77.08348 83.11504 1.07825
Original Math mid-term grade7 72.79402 84.29957 1.15806
Original English mid-term grade7 78.10592 90.70189 1.16127
Standardized scores of students'
cognitive ability (grade 7)
0.64602 0.78773 1.21936
Original scores of students'
cognitive ability
(grade 7)
10.21070 11.71337 1.14717
Original Chinese mid-term grade 9 84.21145 94.16387 1.11818
Original Math mid-term grade 9 74.53197 90.62987 1.21599
Original English mid-term grade 9 70.13389 88.11391 1.25637
Standardized scores of students'
cognitive ability(grade 9)
0.64791 0.81034 1.2507
Original scores of students'
cognitive ability
(grade 9)
8.38404 10.58270 1.26224
25
students’ cognitive ability has a highest ratio .Fro scores of all categories in Grade 9
students , scores of English test ,standardized and original scores of cognitive test have
high ratios. Generally, inequality of education achievement based on groups of different
education level of students ‘mothers is obvious in table 5.And the inequality of Grade 9 is
higher than that of Grade 7.
26
Table 6
Mean and Ratio (father’s education)
In Table 6, the comparison of scores depends on student fathers’ different education level.
Higher education means the father has a higher education level (higher than middle school)
than the students. Generally, parents with higher education level have a more positive
family influence in students’ educational achievement. For example, parents with higher
education level are more likely to help students in study, pay more attention to students’
education and have higher expectations about students’ further study. Consistent with the
hypothesis, students with higher education level father get higher scores in all categories.
From the column of ratio, scores of students in Grade 9 have high ratios than those of
students in Grade 7. For scores of all categories in Grade 7 students and Grade 9 students,
standardized score of students’ cognitive ability has a highest ratio. Generally, inequality of
Category Lower education Higher education Higher/lower
Original Chinese mid-term grade7 76.42697 83.04023 1.08653
Original Math mid-term grade7 71.69767 83.90062 1.1702
Original English mid-term grade7 77.17910 89.81729 1.16375
Standardized scores of students'
cognitive ability (grade 7)
0.63993 0.77129 1.20527
Original scores of students'
cognitive ability
(grade 7)
10.12996 11.57992 1.14314
Original Chinese mid-term grade 9 83.74458 93.36745 1.11491
Original Math mid-term grade 9 74.11498 88.59682 1.1954
Original English mid-term grade 9 69.43115 86.20334 1.24157
Standardized scores of students'
cognitive ability(grade 9)
0.62415 0.81511 1.30595
Original scores of students'
cognitive ability
(grade 9)
8.28828 10.38246 1.25267
27
education achievement based on groups of different education level of students ‘mothers is
obvious in table 5.And the inequality of Grade 9 is higher than that of Grade
From table 5 and table 6, the result shows that students with higher education level parents
get higher scores than those with lower education level parents in all the categories this
paper talks about. Even the result is just mean value and not accurate enough, the result also
follow the EMI theory as mentioned in methodology part .Family influence is not only
correlated to the investment of education, but also related to education climate like parents’
expectation to their children’s further education.
28
Table 7
Mean and ratio (immigration)
Category Local Migrant Local/migrant
Original Chinese mid-
term grade7
78.02013 76.92695 1.01421
Original Math mid-
term grade7
73.58874 71.97732 1.02239
Original English mid-
term grade7
80.30987 77.27560 1.03927
Standardized scores of
students' cognitive
ability (grade 7)
0.66808 0.63066 1.05933
Original scores of
students' cognitive
ability
(grade 7)
10.26800 10.08637 1.01801
Original Chinese mid-
term grade 9
83.33516 84.81443 0.98256
Original Math mid-
term grade 9
74.23293 73.50165 1.00995
Original English mid-
term grade 9
68.69417 70.33926 0.97661
Standardized scores of
students' cognitive
ability(grade 9)
0.60940 0.63906 0.95359
Original scores of
students' cognitive
ability
(grade 9)
8.16073 8.24547 0.98972
Table 7 divides students into 2 groups based on the mobility status: local, migrant. The
admission to middle school in China is related to the HUKOU system. Basically, migrant
students cannot be admitted to the public school of the city they migrate to. However, in
some big cities like Shanghai or Beijing, there are some policies for the migrant students
due to large amount migrant population .Sometimes, some migrated parents pay extra fee
for their children to study in the middle school of migrate city without normal student
29
status .So all migrant students in CEPS show that these students are allowed to take courses
in middle school like local students. For these migrant students studying in the same class
with local students, their education achievement may not vary with local students’ too
much. From the column of ratio, the results are mostly consistent with hypothesis. For
scores of students in Grade 7, the scores of all categories in local is little higher than those
of migrant group .For scores of students in Grade 9, the scores of most categories in local
are little lower than those of Grade 9 students, except scores of mathematics test .For
comparison in appropriation per student, the surprising result is that mean value of local is
lower than that of migrant students. Generally, the Chinese society places bad treatment to
migrant group, due to the competition of social welfare between local citizens and migrants.
From the table 7, inequality about education achievement of two groups are not large .As
mentioned before, the migrant students who are allowed to study in middle school of
migrated city even without normal student status are much luckier than those who are
rejected by middle school of migrated city. The dilemma of migrant students without
normal student status occurs in higher education like high school education with more
serious consequences. For example, students without normal student status are not allowed
to attend national college entrance examination (“gaokao”).In other words, compulsory
education alleviates degree of inequality between local students and migrant students.
30
Table 8
Inequality within group : GE (1) index
Category Urban Rural Agriculture Non -
agriculture
With Without
Original Chinese
mid-term grade7
0.03091 0.02458 0.03085 0.02172 0.02956 0.03343
Original Math mid-
term grade7
0.07643 0.07810 0.08363 0.05056 0.06991 0.10512
Original English
mid-term grade7
0.06329 0.07375
0.06821 0.04469 0.06096 0.07546
Standardized scores
of students' cognitive
ability (grade 7)
0.27236 0.25315 0.29451 0.24648 0.26359 0.29284
Original scores of
students' cognitive
ability
(grade 7)
0.05357 0.06700 0.05569 0.03939 0.05345 0.05492
Original Chinese
mid-term grade 9
0.03663 0.03204 0.03704 0.03370 0.03741 0.02039
Original Math mid-
term grade 9
0.10903 0.11685 0.11591 0.09199 0.11262 0.09045
Original English
mid-term grade 9
0.09254 0.10633 0.10201 0.08175 0.09809 0.08795
Standardized scores
of students' cognitive
ability(grade 9)
0.26720 0.28191 0.28906 0.24109
0.27329 0.26977
Original scores of
students' cognitive
ability
(grade 9)
0.09028 0.09091 0.09136
0.07959
0.09292 0.08985
31
Table 8 presents results on GE inequality within each group as mentioned before, i .e. ,
urban, rural, agriculture ,non-agriculture, with government support and without
government support ,. A higher GE (1) index means a higher degree of inequality. From
all categories of these 6 groups, standardized scores of cognitive test of students in Grade
7 and Grade 9 have the highest GE index, which means highest within group inequality.
From comparison among different groups in every category, this paper finds more detailed
contents. Firstly, when comparing GE (1) index of urban and rural groups, there are no big
gaps between these two groups in most categories, except appropriation per students for
these 2 groups. For the comparison between students in Grade 7 and students in Grade 9,
scores of Grade 9 students in every category and every group have higher level within
group inequality than those of Grade 7 students.
32
Table 9
Inequality within group : GE (1) index
Category Lower
education(mo
m)
Higher
education
(mom)
Lower
education(fat
her)
Higher
education
(father)
Local Migrant
Original
Chinese mid-
term grade7
0.03294 0.02301 0.03432 0.02249 0.03011 0.03803
Original Math
mid-term
grade7
0.08715 0.05252 0.09056 0.05381 0.08553 0.09306
Original
English mid-
term grade7
0.06999
0.04700 0.07224 0.04800 0.06490 0.07497
Standardized
scores of
students'
cognitive ability
(grade 7)
0.28721
0.24591 0.28665 0.25214 0.29311 0.29816
Original scores
of students'
cognitive ability
(grade 7)
0.05753 0.04345 0.05880 0.04410 0.058
0.05995
Original
Chinese mid-
term grade 9
0.03940 0.02541 0.03992 0.02604 0.03596 0.04055
Original Math
mid-term grade
9
0.12317 0.07734 0.12525 0.08222 0.11874 0.12106
Original
English mid-
term grade 9
0.10193 0.07165 0.10306 0.07549 0.10161 0.09418
Standardized
scores of
students'
cognitive
ability(grade 9)
0.28745 0.24448 0.28729 0.24605 0.29009 0.27797
Original scores
of students'
cognitive ability
(grade 9)
0.09535 0.07179 0.09504 0.07547 0.09353
0.10109
33
Table 9 presents results on GE inequality within each group as mentioned before, i .e. ,
lower and higher education level of parents, mobility status of students: local, migrated .A
higher GE (1) index means a higher degree of inequality. From all categories of these 6
groups, standardized scores of cognitive test of students in Grade 7 and Grade 9 have
highest GE index, which means highest within group inequality. When comparing
different groups in every category, this paper finds more detailed contents. Firstly, when
comparing GE (1) index of lower and higher education level of parents, this paper finds
scores of students with lower education level parents have higher GE(1)
index ,representing higher level of within group inequality . Following this logic, the
paper also finds scores from migrated students have higher within group inequality than
those of local students in every category. For the comparison between students in Grade 7
and students in Grade 9, scores of Grade 9 students in every category and every group
have higher level within group inequality than those of Grade 7 students.
34
Table 10
GE Inequality Decomposition: Contributions to Overall Inequality
Category Urban Rural Urban-rural
Original Chinese
mid-term grade7
80.77%
18.26% 0.97%
Original Math mid-
term grade7
76.80% 21.36% 1.84%
Original English
mid-term grade7
79.76%
18.74%
1.50%
Standardized
scores of students'
cognitive ability
(grade 7)
87.5% 10.67% 1.83%
Original scores of
students' cognitive
ability
(grade 7)
82.2% 15.89% 1.91%
Original Chinese
mid-term grade 9
83.39% 15.28% 1.33%
Original Math mid-
term grade 9
81.41% 17.9% 0.69%
Original English
mid-term grade 9
80.04% 17.14% 2.82%
Standardized
scores of students'
cognitive
ability(grade 9)
87.83% 10.38% 1.79%
Original scores of
students' cognitive
ability
(grade 9)
81.78% 15.52% 2.70%
To get a more accurate analysis of the inequality, this paper uses the inequality
decomposition method mentioned in the methodology part. Starting from table 10, this
paper will use some tables to reveal the decomposition analyses for overall inequality under
different groups discussed before. Table 10 shows the inequality is decomposed into 3
components: within-urban inequality, within-rural inequality and inequality between urban
35
and urban. In the formula of inequality decomposition, the contribution to overall inequality
is highly correlated with population share. From the table, this paper shows some
characteristics of the data from CEPS. For example, students in urban schools occupy the
largest proportion of all students CEPS studies in.
The content of the column on the right side is the main result that this paper focuses on.
Generally, compared to the income inequality decomposition mentioned in previous studies
(Kanbur and Zhang, 1999), there is a relatively low level contribution of urban-rural
inequality from the third column. The highest urban-rural inequality occurring in scores of
English test for Grade 9 students just occupies 2.82% of overall inequality.
When comparing the urban-rural inequality’s contribution between Scores form Grade 7
students and Grade 9 students , this paper finds scores of Grade 9 students have higher
urban-rural inequality contribution than those of Grade 7 students in most categories like
Chinese, English, original scores and standardized scores of cognitive test.
From the table and analysis above, this paper concludes that the urban-rural inequality of
educational achievement of different subjects, financial support from government and BMI
index is relatively at a low level .From this result, this paper illustrates that compulsory
education plays an important role in alleviating the inequality between the division of urban
and rural schools.
36
Table 11
GE Inequality Decomposition: Contributions to Overall Inequality
Category Agriculture Non -
agriculture
Others Agriculture -
Non-agriculture-others
Original Chinese
mid-term grade7
53.62% 20.47% 22.78%
3.13%
Original Math
mid-term grade7
54.97% 19.38% 22.22% 3.43%
Original English
mid-term grade7
53.18% 20.45% 21.9% 4.47%
Standardized
scores of
students'
cognitive ability
(grade 7)
44.34% 32.15% 21.88% 1.63%
Original scores
of students'
cognitive ability
(grade 7)
51.81% 20.63% 24.02% 3.54%
Original Chinese
mid-term grade
9
55.87% 26.39% 15.87% 1.87%
Original Math
mid-term grade
9
55.43% 24.43% 18.29% 1.85%
Original English
mid-term grade
9
53.96% 25.22% 16.52% 4.3%
Standardized
scores of
students'
cognitive
ability(grade 9)
43.13% 33% 20.94%
2.93%
Original scores
of students'
cognitive ability
(grade 9)
50.37% 25.9% 18.62% 5.11%
37
Table 11 presents the inequality decomposition based on students’ different hukou systems.
The overall inequality is decomposed into 4 parts: within-agriculture inequality, within
non-agriculture, within-others inequality and inequality among agriculture---non-
agriculture—others. In the formula of inequality decomposition, the contribution to overall
inequality is highly correlated with population share. From the table, this paper shows some
characteristics of the data from CEPS. As the logic of analysis mentioned before, this
paper pays more attention to the right column. From the column of agriculture---non-
agriculture—others gap, original scores of cognitive ability test has the highest proportion
to overall inequality at around 5%. From the result of column, scores of Chinese,
Mathematics and English for Grade 7 students have higher inequality among agriculture,
non-agriculture and others than those for Grade 9 students. However, inequality among
groups in original scores and standardized scores of cognitive test for Grade 9 students
contributes more to the overall inequality than those for Grade 7 students.
From the table and analysis above, the inequality among different hukou systems is much
higher than that inequality between urban and rural mentioned in table10 .However, the
contribution of inequality among different hukou systems to overall inequality is around or
less than 5%, which is still a low percentage .Hukou system is the most typical institutional
factor for education In China. The gap between agriculture and non-agriculture hukou
exists in the whole lives of all people in China.
Since hukou system was extended to both urban and rural areas of China in 1955, it has
been influencing people’s lives and causing inequality until now. The hukou system can
cause opportunity inequality .For example, school admission may not open to students with
different types of household registration systems. Also, the hukou system can cause
38
opportunity inequality. This inequality will convert to the inequality of educational
achievement. From the table 11, the result indeed reveals the inequality between varied
groups up to hukou systems. However, the inequality between groups is not as large as
expected one .Because the inequality between different hukou systems in economic
perspective is considerable. In other words, the compulsory may play such an important
role in alleviating the inequality of education, which is also a reliable explanation of the
relatively low inequality among groups in table 11.
39
Table 12
GE Inequality Decomposition: Contributions to Overall Inequality
Category Lower
education(mo
m)
Higher
education
(mom)
Lower-
higher
education(m
om)
Lower
education(fath
er)
Higher
education
(father)
Lower-
higher
education
(father)
Original
Chinese mid-
term grade7
68.84%
28.95%
2.21% 63.78% 33.4% 2.82%
Original Math
mid-term
grade7
69.55% 27.12% 3.33%
63.49% 32.52% 3.99%
Original
English mid-
term grade7
66.8%
29.05%
4.15%
60.9%
34.64%
4.46%
Standardized
scores of
students'
cognitive ability
(grade 7)
54.14%
44.06%
1.80%
47.12%
51.29%
1.59%
Original scores
of students'
cognitive ability
(grade 7)
64.91%
31.03%
4.06%
59.07%
36.86%
4.07%
Original
Chinese mid-
term grade 9
71.72%
24.41%
3.87%
66.22%
29.81%
3.97%
Original Math
mid-term grade
9
70.66%
25.42%
3.92%
64..95%
31.57%
3.48%
Original
English mid-
term grade 9
66.27%
27.56%
6.17%
60.26%
33.87%
5.87%
Standardized
scores of
students'
cognitive
ability(grade 9)
54.91%
42.82%
2.27%
47.44%
49.32%
3.24%
Original scores
of students'
cognitive ability
(grade 9)
64.43%
28.88%
6.69%
57.76%
35.58%
6.66%
40
Table 12 represents the inequality decomposition based on the classification about
education level of students’ parents. Generally, table 12 combines the education levels of
students’ parents to analyze the impact of family factor on students’ educational
achievement. In table 12, inequality based on mother’s education level and father’s
education level is decomposed into 3 parts: within-lower education level inequality, within-
higher education level, inequality between lower-higher respectively. From the contribution
of lower education and higher education categories to the overall inequality, the result also
reflects the population share of varied categories .So the students with lower education
parents take more proportion than those with higher education parents in the dataset this
paper uses. Generally, this paper focuses more on the contributions of lower-higher
education inequality to overall inequality. For the family influence form mother’s education,
the inequalities of lower-higher education in original scores in English for Grade 9 students
and original scores of cognitive test for Grade 9 students contribute (6% ~ 7%) more than
other categories .Lower-higher inequality about standardized scores of cognitive test
reveals lowest contribution(1.8%) to overall inequality .The situation of father’s education
level also express same feature .Inequalities between low-education and high-education of
original scores of cognitive test for Grade 9 students and standardized scores of cognitive
test for Grade 7 students contribute the highest and lowest proportions
respectively .Another same feature between mother’s education influence and father’s
education influence is that inequalities of lower-higher education part for Grade 9 students
contribute more than those Grade 7 students in every category .The comparison between
the results of mother’s and father’s education is meaningful .The contributions of lower-
higher education about father influence are higher than those about mother influence in
41
most categories ,except standardized score of cognitive test for Grade 7 students and
original scores of mathematics, English, cognitive test for Grade 9 students.
Family influence plays a crucial role in students’ educational achievements. Also this paper
shows that inequality between low education and high education from the classification
based on parents’ education level contributes relatively high inequality to overall inequality
than other types of classification. Difference in parents’ education level will influence the
income level, investment of education and parents’ expectation about their children. Also,
table 12 shows that most of the students’ parents in the survey get lower education (lower
than middle school junior high school). However, it is very hard for their children to get
good jobs or just similar jobs as their parents with lower education (lower than junior high
school) in fierce job market in China.
42
Table 13
GE Inequality Decomposition: Contributions to Overall Inequality
Category Local Migrant Local-migrant
Original Chinese mid-
term grade7
44.82%
55.11%
0.07%
Original Math mid-term
grade7 48.76% 51.17% 0.07%
Original English mid-
term grade7 47.6% 52.13% 0.27%
Standardized scores of
students' cognitive
ability (grade 7)
53.14% 46.72% 0.14%
Original scores of
students' cognitive
ability
(grade 7)
49.85% 50.08% 0.07%
Original Chinese mid-
term grade 9 57.51% 42.4% 0.09%
Original Math mid-term
grade 9 60.66% 39.34% 0.00%
Original English mid-
term grade 9 62.12% 37.81% 0.07%
Standardized scores of
students' cognitive
ability(grade 9)
59.31% 40.59% 0.10%
Original scores of
students' cognitive
ability
(grade 9)
58.51% 41.48% 0.01%
43
Table 13 shows the inequality is decomposed into 3 parts: within-local students’ inequality,
within-migrated students’ inequality and inequality between local and migrant. From the
contributions of local and migrated students, the population share is also clear. The
population share of local students is a little bit higher than that of migrated students. For
local-migrant part, the contribution to overall inequality is very low. Contributions of
inequality between local and migrant to overall inequality in other categories are less than
1%. The results seem to present a low level inequality between local and migrant. However,
the competition even the conflict between local citizens and migrant in China is always
fierce and serious, especially in big cities like Beijing or Shanghai. The conflicts come
from limited resource .This paper focus more on the education resource .From the table 13 ,
it seems like very low level of inequality between these two groups exists .The result is
consistent with the analysis mentioned in table 7. In some big cities , government uses
control of admission for migrated students to control and migrated population and protect
local students ‘ education resource .
44
Table 14
GE Inequality Decomposition: Contributions to Overall Inequality
Category With Without With-Without
Original Chinese
mid-term grade7 94.48% 5.46% 0.06%
Original Math mid-
term grade7 93.49% 6.14% 0.37%
Original English mid-
term grade7 92.62% 6.87% 0.51%
Standardized scores
of students' cognitive
ability (grade 7)
95.55% 4.45% 0.00%
Original scores of
students' cognitive
ability
(grade 7)
91.67% 7.77% 0.56%
Original Chinese
mid-term grade 9 95.62% 4.02% 0.36%
Original Math mid-
term grade 9 94.52% 5.48% 0.00%
Original English mid-
term grade 9 93.49% 6.42% 0.09%
Standardized scores
of students' cognitive
ability(grade 9)
94.97% 4.86% 0.17%
Original scores of
students' cognitive
ability
(grade 9)
93.76% 6.08% 0.16%
Table 14 shows the inequality decomposition of classification about school characteristics.
The overall inequality is decomposed to 3 parts: within-with government support inequality,
within-without government support inequality, inequality between with and without .The
contribution to overall inequality is also related to population share. So from the results in
table 14, the population share in with government support is much higher than that without
government support. Also, the inequality between 2 groups is the core part this paper
45
focuses on .From the column about contribution of inequality between groups, the results
are mostly lower than 1 %.The result of inequality decomposition is in line with the
analysis mentioned in table 2. Due to the low percentages, it is clear that inequality between
with-without contributes a little to the overall inequality. That means inequality of scores
for students studying in schools with varied feature is small.
From table 10-14, this paper decomposes inequality of education achievement, BMI index
and financial support based on different classification mentioned in methodology part. The
inequality contribution between groups to the overall inequality is the main point that this
paper wants to talk about .Generally ,the contribution of inequality based on different
classification method just accounts for lower than or around 5 % of overall inequality .It
means that inequality between groups doesn’t play an important role in the overall
inequality .To get a more accurate and detailed ,this paper also make a second-level
decomposition .In the deeper decomposition ,this paper controls the school type of students
(with government support) and decomposes the inequality based on urban-rural division in
table 15. Meanwhile, this paper also controls the school location (urban school) and
decomposes the inequality based on with-without government support divide .The reason
that this paper only uses fixed urban school and school with government support is that
there are nearly no observation on the opposite side, which is consistent with the population
share of different groups as mentioned before. Besides, the analysis about table 10 and table
14 shows that the inter-group inequality‘s contribution to overall inequality is low .So this
paper tries to use the second level decomposition to explain the puzzle.
46
Table 15
Urban –rural inequality decomposition under school with government support
Table 15 presents the similar result as table 10 .For example, the similar feature of
population share, comparison about the urban-rural inequality contribution among all
categories. Compared to the analysis result in table 1, the urban-rural inequality‘s
contributions of almost every category in table 15 are higher than those in table
10.However, the urban-rural group still accounts for a low percentage.
Category Urban Rural Urban-rural
Original Chinese mid-term
grade7 79.71% 19.33% 0.96%
Original Math mid-term
grade7 74.92% 22.84% 2.24%
Original English mid-term
grade7 77.89% 20.23% 1.88%
Standardized scores of
students' cognitive ability
(grade 7)
86.9% 11.17% 1.93%
Original scores of students'
cognitive ability
(grade 7)
80.24% 17.34% 2.42%
Original Chinese mid-term
grade 9 82.8% 15.98% 1.22%
Original Math mid-term grade
9 80.31% 18.94% 0.75%
Original English mid-term
grade 9 78.73% 18.33% 2.94%
Standardized scores of
students' cognitive
ability(grade 9)
87.06% 10.93% 2.01%
Original scores of students'
cognitive ability
(grade 9)
80.34% 16.56% 3.10%
47
Table 16
With-without inequality decomposition under school in urban region
The results showed in table 16 almost shared similar characteristics with the results in table
14, like the comparison in population share, with-without group inequality’s contribution to
overall inequality among all categories. Compared to table 14, contribution of with-without
inequality in table 16 gets a higher proportion.
After the second level decomposition, the urban-rural inequality and with-without
inequality contribute more to overall inequality. However, the proportions are still limited.
Category With government
support
Without government
support
With-without
Original Chinese mid-term
grade7 93.24%
6.76% 0%
Original Math mid-term
grade7 91.2% 7.99% 0.81%
Original English mid-term
grade7 90.46% 8.62% 0.92%
Standardized scores of
students' cognitive ability
(grade 7)
94.9% 5.08% 0.02%
Original scores of students'
cognitive ability
(grade 7)
89.49% 9.45% 1.06%
Original Chinese mid-term
grade 9 94.95% 4.83% 0.22%
Original Math mid-term grade
9 93.25% 6.73% 0.02%
Original English mid-term
grade 9 91.96% 8.02% 0.02%
Standardized scores of
students' cognitive
ability(grade 9)
94.14% 5.54% 0.32%
Original scores of students'
cognitive ability
(grade 9)
92.1% 7.43% 0.47%
48
Table 17
GE Inequality Decomposition: Contributions to Overall Inequality
Category Urban Rural Urban-rural
Original Chinese
mid-term grade7
39.26%
57.56%
3.18%
Original Math mid-
term grade7
31.24%
63.81%
4.95%
Original English
mid-term grade7
32.97%
60.70%
6.33%
Standardized
scores of students'
cognitive ability
(grade 7)
47.28%
50.42%
2.30%
Original scores of
students' cognitive
ability
(grade 7)
34.16%
60.83%
5.01%
Original Chinese
mid-term grade 9
32.03%
63%
4.97%
Original Math mid-
term grade 9
38.47%
58.78%
2.75%
Original English
mid-term grade 9
35.94%
57.96%
6.10%
Standardized
scores of students'
cognitive
ability(grade 9)
48.78%
47.87%
3.35%
Original scores of
students' cognitive
ability
(grade 9)
37.03%
57.05%
5.92%
From table 10 and table 15, the contribution of urban-rural divide inequality is so limited
that conflicts with the generally shared statement .In line with the consolidation of school
policies, this paper tries a new and more practical method to classify the urban and rural
schools. The revised “urban group” only includes schools located in central district of
county or city. The revised “rural group” contains the rest: marginal district of city or
county, rural-urban continuum of city or county, town of city or county and countryside
49
area. The revised results are presented in table 17. The result of table 17 is much better than
pervious tables and is in company with the generally shared statement. Compared to the
table 10 and table 15, the contribution of urban-rural divide inequality to overall inequality
increases a lot. From the column of urban-rural divide, the highest contribution to overall
inequality is found in category of appropriation per student at 6.1%. When comparing the
contributions of different categories between Grade 7 and Grade 9, contributions of urban-
rural to overall inequality for Grade 7 students in math and English are higher than those
for Grade 9 students. In other words, the contributions of Grade 9 students urban-rural to
overall inequality in other categories are higher than those of Grade 7 students,
After new classification, the result of urban-rural contribution to overall inequality is
much closer to the hypothesis. However, compared to other paper about inequality
decomposition for urban and rural area in China, the result is still not serious.
According to the results in table 11, table 12, table13 and table 17, the contribution of
group-group divide to overall inequality is highest in most categories based on the
classification of urban and rural showed in table 17. The contributions based on
classification local/migrant (table13) and with/without government support (table 14,
table16) are very small. The contribution based on hukou system (table11) seems to be
larger than that based on parents’ education levels (table12).
50
Physical health (eyesight)
Inequality Measure
Mean and Ratio
Eyesight=1: myopia
Eyesight=3: no myopia
Category Agriculture Non -agriculture Others
eyesight 1.91755 1.63215 1.77595
Category Local Migrant
eyesight 1.92527 1.91105
Category(new version) Urban Rural
eyesight 1.67099 1.91093
Category With Without
eyesight 1.81072 1.92928
GE (1) index
Category Agriculture Non -agriculture Others
eyesight 0.13748 0.14836 0.14567
Category Local Migrant
eyesight 0.13691 0.13796
Category GE(1)/ Theil index GINI
eyesight 0.14369 0.26588
51
Category(new version) Urban Rural
eyesight 0.14831 0.13796
Category With government support Without government support
eyesight 0.1441 0.13661
GE Inequality Decomposition: Contributions to Overall Inequality
Category Agriculture Non -
agriculture
Others Agriculture -
Non-agriculture-
others
eyesight 54.40%
24.1%
19.93%
1.57%
Location of
school(new version)
Urban Rural Urban-rural
eyesight 36.41%
62.14%
1.45%
Category Local Migrant Local-migrant
eyesight 55.24%
44.76%
0
Category With Without With-without
eyesight 93.04%
6.87%
0.09%
This paper introduces eyesight as the variable to measure the students’ physical situation.
Good eyesight is essential for the study. CEPS includes a survey about students’ eyesight
issue. It mainly talks about the myopia problem of students by “yes” or “no” question. This
paper converts the result via quantitative way. For students with myopia problem, their
results of eyesight will be 1. For students without myopia problem, their results of eyesight
will be 3. Based on the transformation, this paper uses the method mentioned in
52
methodology part to measure the inequality and do the inequality decomposition. The
classification in inequality decomposition is important. The logic of classification part is in
line with the idea used in educational achievement. The classification is form hukou system,
migrated situation, school location and school’s relationship with government.
Form the inequality measure part, the GE (1) index and GINI coefficient show a degree of
inequality existing in eyesight of students.
From the statistic results of mean, mean of eyesight for students with agriculture hukou
system is highest at 1.91775. Means for students with non-agriculture hukou system and
other hukou system are 1.63215 and 1.77595 respectively. Means of students in different
migrated situations are similar. Mean of students in urban school is lower than that in rural
school. Mean of students in school with close relationship with government is lower than
that of students in school with relatively low level relationship with government. From the
mean of eyesight, this paper finds that myopia seems to be a very widespread situation for
the researched students.
GE (1) index is provided above. From the results, there are similar within group inequality
in different groups.
Inequality decomposition part is very important for the analysis in this paper. The
contributions of local-migrant divide and with-without divide are very limited to overall
inequality. The contributions of urban-rural divide and agriculture-non-agriculture-other
divide are much higher at 1.5%. The inequality due to different groups is not very serious.
53
Financial situation (appropriation per student)
Inequality Measure
Financial inequality of education is also the hot topic. Many research papers use province
data or county level data. This paper uses data form the result of CEPS, which is provided
by the administrative staffs of studied school. Since the appropriation for the students in
same school is same, this paper doesn’t analyze the situation based on different grades.
From the result of GE (1) index and GINI coefficient, there is a certain degree of inequality
existing.
Mean and Ratio
Category Agriculture Non -
agriculture
Others Agriculture/non-
agriculture
Appropriation per
student
864.58140 1135.18395 1121.01770 1.31299
Category Local Migrant Local/migrant
Appropriation per
student
806.26728 957.86094 0.841737
Location of school(new) Urban Rural Urban/rural
Appropriation per
student
1184.91662 867.00583 1.36668
Category With Without With/Without
Appropriation per
student
1006.53875 498.43478 2.0194
Category GE(1)/ Theil index GINI
Appropriation per student 0.17860 0.30925
54
The paper divides the students into different groups for inequality decomposition .The logic
of classification in showed in methodology part. Some basic statistic results about mean of
appropriation are provided above. Most results are similar to the hypothesis or the results of
pervious papers. The appropriation per student of students in disadvantaged group (like
agricultural hukou, rural school and school with weak relationship with government) is less.
One exception is that appropriation of migrated students is higher than that of local student.
The highest mean of appropriation among different groups is from students with non-
agriculture hukou. The smallest mean of appropriation is from students in school keeping
weak relationship with government. From the ratio part, the highest ratio appears in
classification of school’s relationship with government.
GE(1) index
Category Agriculture Non -agriculture
Appropriation per
student
0.09930 0.23807
GE(1) indexes of varied groups are provided in this paper. The results show the within
group inequality level. The highest within-group inequality of appropriation is found in
Location of school(new) Urban Rural
Appropriation per student 0.2427
0.1008
Category With government support Without government support
Appropriation per student 0.17562 0.05137
Category Local Migrant
Appropriation per student 0.08859 0.14478
55
urban school, which means a relatively high level of inequality of appropriation existing in
different urban schools. The lowest within-group inequality is found in rural schools.
GE Inequality Decomposition: Contributions to Overall Inequality
Category Agriculture Non -
agriculture
Others Agriculture -
Non-agriculture-
others
Appropriation
per student
25.87% 41.67% 27.45% 5.01%
Location of
school(new version)
Urban Rural Urban-rural
Appropriation per
student
63.03%
30.25%
6.72%
In inequality decomposition part, the paper focuses more on the group-divide contribution
to the overall inequality. Form the results, all inequalities due to group-divide contribute to
overall inequality. According to the tables above, the urban-rural divide holds a highest
contribution to overall inequality at 6.72%, which reflects that part of financial inequality
comes from the different school location. The inequality of with-without divide shows a
comparatively low contribution to overall inequality at 2.8%. The result is not as serious as
the assumption.
Category With Without With-without
Appropriation per
student
96.74% 0.46% 2.80%
Category Local Migrant Local-migrant
Appropriation per student 38% 58.91% 3.09%
56
Conclusion
To sum up, this paper uses data from CEPS to describe inequality situation of students
through three main concerns: educational and cognitive achievement, physical status and
financial status. The logic to analyze the inequality is measuring the overall inequality,
measuring the inequality after meaningful classification and dong inequality decomposition
based on the classification. For analysis of educational and cognitive achievement, this
paper finds out the inequality and decomposes the inequality through different
classification ways. The results from the inequality decomposition show that the inequality
from group-group divide (like urban-rural divide, local –migrant divide and so on) indeed
contribute to the overall inequality. The analysis of physical status and financial status also
presents the same pattern. However, the contributions of inequality form group-group
divide are not high as the hypothesis. If the comparison is hold among these three
parts(educational achievement, financial status and physical status), the contributions of
group-group divide to overall inequality form educational achievement part and financial
status part are much higher than those from physical status part.
Something special in the results from GE(1) index and inequality decomposition is that
the inequality within the group is high. From the methodology part, one explanation is that
contribution to overall inequality is related to population share. However, the GE (1)
indexes in different groups indeed depict certain levels of inequality. The explanation of
within group inequality is not the object of this paper. However, the explanation of the
similar result from Jun Yang , Xiao Huang, Xin Liu (2014) seems like reliable. For
example, the relatively high within inequality is found in urban and rural group. However,
57
when the region inequality (like Gansu Province and Zhejiang Province) is taken into
account, the within group inequality seems convincing and understandable.
Limitation of this paper is about the measurement of educational achievement of the
student. Since this paper uses mid-term test scores, the difference of the examination paper
may influence the analysis result. However, the cognitive test is uniform for every student
in CEPS. This measure also guarantees the credibility of the analysis result.
There is also another point to be improved in this paper. Even CEPS contains a wide range
of survey about students, it doesn’t have a long time series data which may constrain the
research about the education situation. In the future, other papers can use the new CEPS
results to do research by using this paper’s logic and add more comparison parts among
different time periods.
58
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