gross enrollment ratio in european countries

8/13/2019 Gross Enrollment Ratio in European Countries

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What is the Gross Enrollment Ratio

(GER) inside European countries?

Student: Moroianu Sorin


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Defining GER

Gross enrollment rate is the total enrollment

in primary school, regardless of age, in a given

year, expressed as a percentage of the official

school-age population for primary school.

The purpose of the gross enrollment rate is

that it shows the general level of participation

in formal schooling by the childhoodpopulation.


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Why the use of Young Population

and Population Enrollment?

GER shows the overall coverage of an

educational system in relation to the

population eligible for participation

in the system.


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How to calculate GER

EX: a nation has 900,000 people enrolled in

school(2005/2006) and is divided by:

Total young population of the nation is

1,000,000

90% of the people are enrolled90% is the

GER of that nation


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Formula

GER = number of actual students enrolled /number of potential students enrolled andequals:


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A combined gross enrollment ratio (CGER),incorporating all three levels of education, isused to calculate the Human Development

Index (HDI), an annual gauge of well-being for UN member states. Amongst othermeasures used in the calculation, the CGER isgiven one-third weight in assessing

the knowledge component, represented bygross enrollment, while the adult literacy rateis assigned two-thirds weight.
http://en.wikipedia.org/wiki/Human_Development_Indexhttp://en.wikipedia.org/wiki/Human_Development_Indexhttp://en.wikipedia.org/wiki/Human_Development_Indexhttp://en.wikipedia.org/wiki/Human_Development_Index


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Where did the inspiration come from?

The data concerning the actual numbers and

statistics regarding the Gross Enrollment Ratio

in European Countries(a.k.a. The Bulk Data)

including Romania came from The National

Center for Education Statisticswebsite in

which I have came across with multiple tables

containing tremendous data that could bedownloaded in an Excel format.


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Using the Data Analysis Tool from Excel

Central Tendency - the value of the median

indicates that 50% of the GER values are

above 105. This indicates that more than a

half of the European countries are

theoretically able of accommodating its

school-aged population.(A gross enrollment

rate of 100 percent a country is capable toaccommodate all of its school-aged

population).


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Variability MeasuresThe range is the difference

between the highest and the

lowest score and in my case that

is 31.1

The coefficient of variation = 0.07

GER

Mean 105.8953612

Standard Error 1.894879258

Median 105.1765914

Mode #N/A

Standard Deviation 7.579517033

Sample Variance 57.44907845

Kurtosis 4.969407011

Skewness 1.930754788

Range 31.13358848

Minimum 97.56938228

Maximum 128.7029708

Sum 1694.325779

Count 16

Confidence Level(95.0%) 4.038839534

margin of error 3.713963346

upper limit 109.6093245

lower limit 102.1813978

c.of Var 0.071575534


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The Shape of the Distribution

0

1

2

3

4

5

6

7

8

Frequency

Bin

Histogram

Frequency

Bin Frequency

97.56938 1

105.3528 7

113.1362 6

120.9196 1

More 1

Kurtosis and

Skewness are not

close to 0 + they are

positive Theshape is Right Tail

Extremes


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95% Confidence Interval

Confidence level is 3.71

Confidence interval=

- 3.713963346+ 3.713963346 belong to the [102.1813978,

109.6093245] interval


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Scatter Diagram

There is a positive linearrelationship betweenthe 2 variables becausethe coefficient ofcorrelation is 0.529 that

is close to 1stronglinear relationshipbetween the twovariables, also thecoefficient exceeds 0.5

0

20

40

60

80

100

120

140

0 1,000 2,000 3,000 4,000 5,000 6,000

Correlation between GER and Enrollment

GER

(Y)

Enrollment(X)


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Covariance and Coefficient of

correlation

Covariance= 6049.333

Covariance value is positive (x) and (y) tend

to move in the same direction

Coefficient of Correlation= 0.529017

Interpretation: (Developed) countries with

high primary school enrollment population

also tend to have a high Gross Enrollment

Ration


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Bibliography:

http://www.unfoundation.org/what-we-do/issues/mdgs.html

http://en.wikipedia.org/wiki/Universal_Primary_Education

http://www.unsiap.or.jp/ematerial/ematerial_other/PCD_M2_fiji/PCD_M2_4_P2.pdf

http://www.amstat.org/publications/jse/v19n2/doane.pdf

http://nces.ed.gov/programs/digest/d07/tables/xls/tabn385.xls
http://www.unfoundation.org/what-we-do/issues/mdgs.htmlhttp://www.unfoundation.org/what-we-do/issues/mdgs.htmlhttp://en.wikipedia.org/wiki/Universal_Primary_Educationhttp://en.wikipedia.org/wiki/Universal_Primary_Educationhttp://www.unsiap.or.jp/ematerial/ematerial_other/PCD_M2_fiji/PCD_M2_4_P2.pdfhttp://www.unsiap.or.jp/ematerial/ematerial_other/PCD_M2_fiji/PCD_M2_4_P2.pdfhttp://nces.ed.gov/programs/digest/d07/tables/xls/tabn385.xlshttp://nces.ed.gov/programs/digest/d07/tables/xls/tabn385.xlshttp://nces.ed.gov/programs/digest/d07/tables/xls/tabn385.xlshttp://nces.ed.gov/programs/digest/d07/tables/xls/tabn385.xlshttp://www.unsiap.or.jp/ematerial/ematerial_other/PCD_M2_fiji/PCD_M2_4_P2.pdfhttp://www.unsiap.or.jp/ematerial/ematerial_other/PCD_M2_fiji/PCD_M2_4_P2.pdfhttp://en.wikipedia.org/wiki/Universal_Primary_Educationhttp://en.wikipedia.org/wiki/Universal_Primary_Educationhttp://www.unfoundation.org/what-we-do/issues/mdgs.htmlhttp://www.unfoundation.org/what-we-do/issues/mdgs.htmlhttp://www.unfoundation.org/what-we-do/issues/mdgs.htmlhttp://www.unfoundation.org/what-we-do/issues/mdgs.htmlhttp://www.unfoundation.org/what-we-do/issues/mdgs.html

gross enrollment ratio in european countries

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