1. Introduction
In recent years there has been considerable interest in whether measured correlations between schooling and Economic growth reflect the causal impact of education on earnings. Education contributes a lot to the human capital formation (Kottaridi et al., 2019). Investment in education produces skilled and efficient human resources, making it approachable for any country to achieve economic objectives, i.e., sustainable economic growth and development. Education is a currency for human capital development, treating it inseparable from human capital development. Endogenous Growth models (Lucas, 1978) and augmented growth models emphasized the role of education to determine economic growth. Economic growth is a linear function of varying levels of education and on-the-job training (Han & Lee, 2020). Numerous studies enlightened the role of education as a screening device by providing knowledge and skills and guiding individuals to choose the right professions (Altuwaijri & Kalyanaraman, 2020). Education is one of the essential bases for screening, which indicates individuals’ basic skills, abilities, and knowledge. The personal skills of individuals are necessary for the firms as ability raises any firm’s productivity (Yao, 2019).
Economic development is complex, and economists have difficulty identifying the fundamental factors (Bano et al., 2018; Jesson & Newman, 2020). At its core, this process is one in which financial and human capital are combined in ever more sophisticated and productive ways. That is why certain countries advance in this process much more rapidly than others. Economists now accept that investment in education, or human capital, is essential to economic development (Belás et al., 2018). Economic studies provide robust and consistent evidence that more educated workers are more productive and earn higher salaries. There is also no doubt that average levels of education and national income rise simultaneously (Camba, 2020).
The theory of human capital plays a significant part in modern labor economics wherein it shows a meaningful relationship between education and earning. Said theory suggests earnings rise rapidly as the levels of education get better (Kengatharan, 2019). Numerous studies showed that more educated people achieve a higher wage, observe less unemployment, and engage in more prestigious professions than less knowledgeable fellows (Budig et al., 2019; Kim, 2022). Education is an investment in human capital rather than cost, the difference in economic growth rise with the difference in access to education. Skills and knowledge stimulate the ability of individuals to enhance their productivity leading to a positive rate of return (Cantillo et al., 2022; Goldin & Katz, 1996).
The significance of the research and development expenditures is highlighted all over the developed world that contribute to sustainable economic development (Coulibaly et al., 2018). There is some variation in capital accumulation in the relative amounts of the two types of capital. One is the human capital, and the second is the technological capital (Das & Drine, 2020). Capital accumulation differs from the difference in the level of growth. However, no countries have a high two type in the developing world. For instance, the U.S. has more human and technological capital while Japan has more physical than human capital, but both countries have high levels.
Similarly, studies show that economic development does not occur automatically (Diebolt & Hippe, 2022). There would not be such significant differences in the magnitude of the capital stocks between countries. However, some other research and development expenditures characteristics are ack in developing countries (Booth et al., 2001). Suppose human capital and research and development expenditures are complementary, then for history. In that case, it is indispensable to lead to the country’s development and the increase in education (Hall, 2002; Long et al., 2021).
The evidence on returns to education indicates that investment in schooling is subject to increasing returns (Breton, 2013). However, all education is still considerable in highly-educated countries if supported by research and development expenditures. In developing countries, the returns are much larger than the average returns. Still, since most of this return is indirect, but will generate spillovers using the research and development expenditures in on-the- job training. Increasing returns to education make it possible for developing countries to increase if they commit to raising their average level of schooling to sustain economic growth (Angrist et al., 2021).
The evidence also indicates that literate workers boost the productivity of physical capital, and it will bring more enhanced productivity if it comes through research and development expenditures (Zhang et al., 2021). Finally, in all countries, the positive effect of rising human capital on the productivity of physical capital is required to offset the diminishing returns to investment and make the rising investment in physical capital financially viable in the development process.
Similarly, education is crucial for the development of any country, and Pakistan, like other developing countries, is experiencing a crisis in the education sector. Numerous studies have enlightened that higher growth is linked with higher levels of education in Pakistan (Bano et al., 2018; Yasmin et al., 2021). This study is a significant endeavor to address the objectives mentioned above in estimating the economic growth-education relationship using the time series data. In this paper, we provide an analytical survey of estimates of the rate of return to schooling in the form of economic growth. And it is combined with the research and development expenditures designed to determine the extent to which rates of return on education differ over time.
2. Literature Review
Asghar et al. (2012) analyzed human capital and economic growth using co-integration methods and causality tests. Human capital was defined in terms of education and health, and data from Pakistan for the period 1974 to 2009 was used. Long-run co-integration was found between the variables. Causality tests were also employed, and stability was checked using CUSUM and CUSUMSQ. Results suggested a positive relationship between human capital on growth, notwithstanding the low levels of investment in health and schooling in Pakistan. The study recommended further investments in health and education.
Afzal et al. (2012) evaluated the association between poverty, education, and economic progress in Pakistan. They were using yearly data from 1971–1972 to 2009–2010. They exploit ADF, PP, Ng-Perron tests to check the integration order. They used the ARDL Bond testing approach to investigate the association among the variables. Toda-Yamamoto Augmented Granger Causality (TYAGC) was used to determine the causal relationship. They concluded long-term association in poverty, schooling, physical capital, and economic growth. They also found a two-way causal connection between schooling and poverty. They concluded schooling had a more significant effect on growth than poverty’s effect on economic progress. They recommend that the government of Pakistan should make policies that enhance the education system and reduce poverty to increase economic growth (Khattak & Khan, 2012) explored the involvement of education in the economic progress of Pakistan by utilizing annual data from 1971–to 2008. They were using OLS and Johansen co-integration approach to analyze the connection among the variables. The result of OLS shows that secondary education upsurges the real GDP per capita significantly in Pakistan. Elementary education directly affected economic growth, but the findings were insignificant. Co-integration outcomes confirmed the long-term association between schooling and real GDP per capita. They recommend that government should keep schooling as the highest priority in public policies.
Awan et al. (2011) examined Pakistan’s human capital formation and economic performance. They used yearly data ranging from 1972–1973 to 2012–2013. They utilized the ADF test for the unit root problem. To calculate the effect of human capital formation and economic performance, they used JJ co-integration technique. The result analyzed a long term affiliation between schooling enrollment and economic growth. The education enrollment index was an optimistic sign and had a significant influence on economic growth. Raza et al. (2015) interpreted empirical evidence of human capital constraint towards economic growth utilizing annual data from 1977–to 2014. They used the Johansen co-integration technique and found a strong and positive connection between human capital and economic development. They established that the current status of Pakistan’s health and education sector is inferior. They proposed that the government of Pakistan should focus on primary education and spend more on the schooling sector to boost economic growth. Zafar (2015) explored the association between human capital and the economic progress of Pakistan by utilizing yearly data ranging from 1980–to 1981 and 2009–to 2010 using OLS. Long-run attachment among school enrollment, economic growth, investment growth, CPI inflation, headcount ratio, and FCF. And Gini coefficient has a direct effect on economic development. Investment growth and headcount ratio harm economic development. He suggested that if government enhances education enrollment, it will boost economic growth.
3. Data and Methodology
Recent research is based on the analysis of schooling and job training and their impact on economic growth in Pakistan. Data is collected for Pakistan from 1976 to 2019 in this research. Various sources collect PBS, economic surveys, and world development indicators (Table 1). In the investigation nature of the observed variable is secondary. To adequately present the estimates, the researcher utilized an empirical model in this research.
Table 1: Description of Variables
After reviewing the theoretical and empirical work, the model to examine the impact of terms of trade on economic growth is derived using the production function framework. The empirical model form is as follows:
\(\begin{aligned} \mathrm{GDP}_{t}=& \beta_{0}+\beta_{1} \mathrm{SCHE}_{t}+\beta_{2} \mathrm{POV}_{t}+\beta_{3} \mathrm{INVG}_{t} \\ &+\beta_{4} \mathrm{ELF}_{t}+\beta_{5} \mathrm{RDV}+e \end{aligned}\)
GDPt :Gross domestic product
SCHEt :School enrollment
POVt :Poverty
INVGt : Investment growth
ELFt :Employed labor force
RDV :Research and development expenditures
4. Empirical Results
4.1. Descriptive Statistics
Descriptive statistics is used to present the introductory statistics of the data. Tables 2 and 3 include the data of GDP, SCHE, INVG, ELF, POV, and RDV, from 1976 to 2019. The average shows the values, standard deviation, Skewness, kurtosis of the used variables.
Table 2: Descriptive Analysis of the Data
Table 3: Descriptive Analysis of School Enrollment at Different Levels
Table 4 shows the degree of relationship among vari- ables. This analysis investigates the relationship between the variables. A typical example of quantifying the association between two variables measured on a scale is the relationship between two variables. Each of these two characteristic variables is calculated on a continuous scale. The “r” measures the strength of the linear relationship between two variables on a continuous scale.
Table 4: Correlation Analysis
4.2. Unit Root Test
Unit root tests can determine if trending data should be first differenced or regressed on deterministic functions of time to render the data stationary. Moreover, economic theory often suggests the existence of long-run equilibrium relationships among non-stationary time series variables. Unit root analysis is applied to check the stationary of the variables. The first stationary level of data is checked at a level. If the data is stationary, it will be written as 1(0). To check the stationary level will end here, but the data is not stationary at the level, then more processes will be done to check the stationary level (Table 5).
Table 5: Unit Root Analysis
The bounds tests suggest that the variables of interest are bound together in the long run when GDP is the dependent variable (Table 6). The associated equilibrium correction was also significant, confirming the existence of the long-run relationship. Autoregressive Distributed Lag Model (ARDL) Bounds testing procedure is a powerful statistical tool in the estimation of level relationships when the underlying property of time series is entirely I(0), entirely I(1), or jointly co-integrated. Bound testing as an extension of ARDL modeling uses F and t-statistics to test the significance of the lagged levels of the variables in a univariate equilibrium correction system when it is unclear if the data generating process underlying a time series is a trend or first difference stationary. Here the ARDL model is applied to examine the short and long-run association between variables. Table 6 represents the bound test is applied to check the long-run relationship between the variables. The calculated value of the F-statistic is 5.749032, which is greater than the upper bound values. The F-statistic illustrates the existence of co-integration in the long run in this research.
Table 6: Bound Test Results
4.3. ARDL Cointegration and Long-Run Form
In Tables 7 and 8, SCHE has a coefficient equal to 0.022989, and the probability value is equal to 0.0021, which is highly statistically significant as the probability is less than 0.05. This shows a positive relationship between school enrollment and economic growth. INVG has a coefficient equal to 0.019822, and the probability value is equal to 0.0073, which is highly statistically significant as the probability is less than 0.05. This shows a positive relationship between investment growth and economic growth. ELF has a coefficient equal to 0.454384, and the probability value is equal to 0.0049, which is highly statistically significant as the probability is less than 0.05. This shows a positive relationship between the employed labor force and economic growth (Nasir et al., 2021). POV has a coefficient equal to –0.074951, and the probability value is equal to 0.2001, which is highly statistically significant as the probability is less than 0.05. This shows a negative relationship between poverty and economic growth. RDV has a coefficient equal to 0.180731, and the probability value is equal to 0.0319 is highly statistically significant as the probability is less than 0.05. This shows a positive relationship between research and development and economic growth.
Table 7: Short-Run Results
Table 8: Long-Run Results
The diagnostic test of the model is shown in Table 9. We dismantled the serial correlation test and the Brush test in the model, and the value of F-statistics is insignificant. In this model, there is no serial correlation and no heteroskedasticity. The null hypothesis is accepted, whereas the alternative hypothesis is rejected.
Table 9: Diagnostic Test
The CUSUM estimates the used Model stability and CUSUM stability test in the autoregressive distributed lag (ARDL) method. The results in Figure 1 show that the current model’s coefficient is stable because of the CUSUM and CUSUMS statistic graphs.
Figure 1: CUSUM and CUSUMS Statistic Graphs
5. Conclusion and Policy Recommendations
Education is crucial for the development of any country, and Pakistan, like other developing countries, Pakistan is experiencing disparities in the education sector. Numerous studies have enlightened the fact that higher growth is linked with higher levels of education in Pakistan. This study looked at education and on-the-job training to see how they affected economic growth. Education is a critical area that helps to ensure that all people in society are included in the economic growth process. The economics of education differs. As a factor of production, human capital differs from physical capital. Investing in education can have a positive economic impact. Cost of investing in human capital, returns on investment or return to education, and increased productivity are three significant economic effects of an investment in human capital. Furthermore, taking into account R&D expenditures for on-the-job training increases the impact of education and, as a result, may create spillovers for Pakistan’s economic growth.
Economic growth is a linear function of varying levels of education and on-the-job training. Numerous studies enlightened the role of education as a screening device by providing knowledge and skills and guiding the individual to opt for the right professions. Education is one of the essential bases for screening, which indicates the basic skills, abilities, and knowledge of individuals. Personal abilities of individuals are essential for the firms as ability raises any firm’s productivity.
The empirical conclusions illustrate that education, research, and development contribute to all-inclusive and sustainable economic development. Other conventional factors, labor, and capital are still the backbones of the development process. Nonetheless, the spillover impact is greatly enhanced by the expansion of education and on-the- job training in the form of R&D investments. As a result, it is suggested that education research and development be integrated into a sustainable and inclusive economy.
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