EDUCATION AND ECONOMIC GROWTH : A PANNEL DATA ANALYSIS OF FOUR ASIAN COUNTRIES REHMAT ULLAH 01-112201-061 DILAWAR ZAMAN 01-112201-017 MOEEZ ZAMAN 01-112201-034 ABSTRACT: Education is one of the important factors of economic growth. The objective of this study is to examine whether improvement in educational sector which can be measured from enrollment rate secondary and enrollment rate higher secondary has positive impact on improvement of economic growth which can be measured with GDP and whether different level of human capital has different contribution toward the growth of 4 countries in Asia. The sample of 4 Asian countries is taken during the time period 2000 to 2020 using panel data. Keywords: Economic growth; Education; Panel data; 1. INTRODUCTION: The study of human capital has been a longstanding interest in economic theory, but its significance grew significantly after the Second World War. This shift occurred as it became evident that traditional factors of production, such as labor and capital, could not fully account for the economic growth observed. Consequently, economists, including Solow (1957), Schultz (1961), Becker (1964), and others, expanded their focus beyond viewing investment in human capital as merely an important aspect of production formation. Education, across its different levels, is widely recognized as a highly effective method for fostering the genuine development of human capital. It serves as a fundamental component of sustainable development and plays a vital role in enhancing human well-being. According to Schultz (1961), education not only constitutes a significant form of investment in human capital but is, in fact, the embodiment of human capital itself. This assertion is based on the understanding that education largely accounts for the variations and transformations observed in gross national income, making it a crucial factor in driving economic progress and prosperity. 2. Literature Review 2.1 Economic Growth The economic growth of four Asian countries has been assessed using real GDP as a measure. This metric has been adopted by researchers such as Abbas and Foreman-Peck (2007), Chaudhary, Iqbal, and Gillani (2009), Islam et al. (2007), and Jin (2009). Real GDP represents the market value of all final goods and services produced within a nation's geographical boundaries in a given year. It excludes the income generated by resources in foreign countries but incorporates the earnings of foreigners working within the economy. 2.2 Education Obtaining or acquiring general knowledge, learning fundamental skills like mathematics and geography, and developing a basic understanding of various subjects such as history, natural sciences, social sciences, and art are all activities related to education. Additionally, education aims to enhance reasoning abilities, judgmental thinking, and prepare individuals or others intellectually for adulthood. Researchers like Loening (2005) have utilized proxies such as school enrollment, primary (% gross), school enrollment, secondary (% gross), and school enrollment, tertiary (% gross) to represent primary, secondary, and tertiary education respectively. This approach, which calculates the school education enrollment ratio by dividing the total enrollment of children aged 5-15 by the population within that age group, has been employed by scholars such as Hassan and Ahmed (2008). 3.3 Physical Capital In economics, physical capital or just capital is a factor of production (or input into the process of production), consisting of machinery, buildings, computers, and the like. In economic theory, physical capital is one of the three primary factors of production, also known as inputs in the production function. In this study, Gross fixed capital formation (GFCF) is proxy for Physical capital. GFCF, which stands for Gross Fixed Capital Formation, is an important macroeconomic concept utilized in official national accounts systems such as the United Nations System of National Accounts (UNSNA), National Income and Product Accounts (NIPA), and the European System of Accounts (ESA). Its origins can be traced back to Simon Kuznets' studies on capital formation in the 1930s conducted at the National Bureau of Economic Research (NBER), and standardized measures for GFCF were established in the 1950s. In statistical terms, GFCF quantifies the value of new or existing fixed assets acquired by the business sector, governments, and "pure" households (excluding their unincorporated enterprises), while also considering the disposal of fixed assets. As a component of expenditure in gross domestic product (GDP), GFCF provides insights into the proportion of newly generated value in the economy that is invested rather than consumed. 2.4 Labor Force The labor force, also referred to as the workforce or labor force in the United States, represents the pool of individuals engaged in employment. While it typically refers to those employed within a specific company or industry, it can also encompass a geographical area such as a city, state, or country. Within a company, the term "Workforce in Place" may be used to denote its value. The labor force of a country comprises both employed individuals and those who are unemployed. In this particular study, the labor force is approximated by the labor force participation rate. The labor force participation rate (LABR) is a measure that compares the size of the labor force to the total population within a specific age range. Typically, it excludes employers or management positions and may specifically refer to individuals engaged in manual labor. Additionally, the term can encompass all individuals who are available and actively seeking work. 3. Data and Methodology 3.1 Data The information regarding education levels, specifically school enrollment in secondary, and tertiary levels, as well as labor force participation rates and gross fixed capital formation, has been collected from official sources such as the World Bank, and UNESCO Institute for Statistics (UIS). These organizations have published the data on their respective official websites. Dependent Variable Gross Domestic Product (GDP): GDP is used as a proxy for economic growth. This metric represents the total value of goods and services produced within a country's borders over a specific time period. It is used to measure the economic performance and growth of a nation. Independent Variable 1 School Enrollment in Secondary: Education is used as a proxy for school enrollment. This refers to the number of students enrolled in secondary education, typically covering ages between 12 and 18. It reflects the level of participation and access to secondary schooling within a given population. Independent Variable 2 School Enrollment in Tertiary: This indicator measures the number of students enrolled in tertiary education, including universities, colleges, and vocational institutions. It provides insights into the higher education landscape and the proportion of individuals pursuing advanced studies. Control Variable ⚫ Labor Force Participation Rate: This rate indicates the proportion of the working-age population that is either employed or actively seeking employment. It helps assess the level of economic engagement and workforce utilization within a country. ⚫ Gross Fixed Capital Formation: This metric represents the total investment in physical assets, such as buildings, machinery, and infrastructure, within an economy during a specific period. It serves as an indicator of investment activity and capital accumulation. ⚫ Inflation: Inflation refers to the rate at which the general level of prices for goods and services rises, eroding the purchasing power of a currency. It is typically expressed as an annual percentage increase and is an important economic indicator that reflects the overall price stability within an economy. Variables Economic Growth Education Proxies Real Gross Domestic Product School enrollment, secondary gross) Notation GDP SEC (% School enrollment teritary (% gross) Labor Force Physical capita Labor force participation rate Gross fixed capital formation Inflation HIG LABR GFCF CPI 3.2 Methodology GDP i,t= β() + βSEC1i,t + βHIG2i,t + βLABR3i,t + βGFCF4i,t βCPI5i,t + eit GDP: Gross Development Product SEC: school enrollment in secondary HIG: school enrollment in tertiary LABR: labor force participation rate GFCF: gross fix capital formation CPI: Inflation At first, a descriptive statistic is to be taken. Correlation among variables was then examined, and a correlation matrix is presented below. Then Ordinary least squares (OLS) regression model among variables was checked. As the data taken is panel data so in this case, appropriate economics techniques will be used to estimate the panel data model, we will use a panel regression technique in which first random effects results would be checked and then fixed effects and to choose between these two a Hausman Test will be conducted to get the desired results. If the p-value is statistically significant we will go with fixed effects regression model, and in case if p-value is not statistically significant we will go with random effects regression model. 4. Results 4.1. Descriptive Statistics The results are summarized in the table below. Table 2. Summary of Descriptive Statistics Variable Obs Mean GDP SEC 4.599019 2.46845 -7.48405 8.858868 68.16482 13.20381 44.87198 88.91017 84 81 Std. Dev. Min Max HIG LABR GFCF CPI 81 84 84 84 22.85345 62.13398 6.707123 5.219027 11.23448 5.624016 6.073719 3.061235 5.63134 50.187 -14.4164 -1.1387 46.7621 70.608 26.41948 13.10867 4.2. Correlation Matrix Between Model Variables The results are summarized in the Table 3 below. Table 3. Correlation Matrix GDP SEC HIG LABR GFCF CPI GDP SEC HIG LABR 1 0.066 -0.0299 0.0485 0.6576* 0.1743 1 0.9263* 0.4391* -0.2755* -0.4462* 1 0.4419* 1 -0.3345* -0.1175 1 -0.4927* -0.2227* 0.1703 4.3. Ordinary least squares (OLS) Regression Model: Model Summary: Number of obs F(5, 74) Prob > F Rsquared Adj Rsquared Root MSE = 80 = = = 15.44 0 0.5105 = 0.4774 = 1.7455 GFCF CPI 1 GDP Coef. Std. Err. SEC HIG LABR GFCF CPI _cons 0.083936 -0.03357 0.02369 0.275263 0.146712 -4.40341 0.0399732 0.0492914 0.0393599 0.0345754 0.0732338 2.784692 t P>t 2.1 -0.68 0.6 7.96 2 -1.58 [95% Conf. 0.039 0.498 0.549 0 0.049 0.118 Interval] 0.0042873 -0.131782 -0.0547364 0.2063704 0.0007908 -9.952031 0.1635842 0.0646485 0.1021164 0.3441564 0.2926341 1.145209 4.4. Panel Regression Analysis: Random-effects GLS regression Number of obs Number of groups Obs per group: min avg max Wald chi2(5) Prob > chi2 Group variable: CN R-sq: within = 0.5057 between = 0.9301 overall = 0.5105 corr(u_i, X) = 0 (assumed) GDP SEC HIG LABR GFCF CPI _cons Coef. Std. Err. z P>z 2.10 0.083936 0.0399732 0.036 0.68 -0.03357 0.0492914 0.496 0.60 0.02369 0.0393599 0.547 7.96 0.275263 0.0345754 0.000 2.00 0.146712 0.0732338 0.045 1.58 -4.40341 2.784692 0.114 [95% Conf. = 80 = 4 = = = = = 19 20 21 77.18 0 Interval] Column1 0.0055896 0.1622818 -0.1301761 0.0630426 -0.0534541 0.1008341 0.2074968 0.34303 0.0031767 0.2902481 -9.861307 1.054485 sigma_u 0 sigma_e 1.760086 rho 0 (fraction of variance due to u_i) Fixed-effects (within) regression Number of obs Number of groups Obs per group: min avg max F(5,71) Prob > F Group variable: CN R-sq: within = 0.5125 between = 0.9548 overall = 0.4896 corr(u_i, Xb) = -0.4247 GDP Coef. Std. Err. SEC 0.112119 0.0483934 HIG -0.078 0.0631388 LABR 0.086721 0.1116558 GFCF 0.273504 0.0349871 CPI 0.204947 0.0861819 _cons -9.51203 8.147467 t P>t [95% Conf. 2.32 0.023 1.24 0.221 0.78 0.440 7.82 0.000 2.38 0.020 1.17 0.247 Interval] = 80 = 4 = = = = = 19 20 21 14.93 0 Column1 0.0156256 0.2086129 -0.2038979 0.0478925 -0.1359143 0.3093563 0.2037414 0.343266 0.033105 0.3767884 -25.75762 6.733557 sigma_u 0.559847 sigma_e 1.760086 rho 0.091879 (fraction of variance due to u_i) 4.5. Hausman Test: hausman fe re Column1 (b) fe (B)2 re SEC HIG LABR 0.112119 0.083936 -0.078 -0.03357 0.086721 0.02369 (b-B) sqrt(diag(V_b Difference S.E. 0.028184 -0.04444 0.063031 0.0272775 0.0394572 0.1044883 V_B)) GFCF CPI 0.273504 0.275263 0.204947 0.146712 -0.00176 0.058234 0.0053515 0.0454325 b = consistent under Ho and Ha; obtained from xtreg B = inconsistent under Ha, efficient under Ho; obtained from xtreg Test: Ho: difference in coefficients not systematic chi2(5) = (b-B)'[(V_b-V_B)^(-1)](b-B) = 1.73 Prob>chi2 = 0.8845 5.Conclusion In this study, the relation between education and economic growth is analyzed for the period between 2000 to 2020 in terms of 4 Asian member countries. Education is represented separately by the concept of school enrollment in secondary, and school enrollment in tertiary. The findings indicate the significance of Education on economic growth. 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