Submitted:
02 August 2026
Posted:
04 August 2026
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Abstract
Keywords:
1. Introduction
2. Theoretical and Conceptual Framework
2.1. Augmented Solow Model with Human Capital
2.2. Endogenous Growth Theory and Education Externalities
2.3. Quality Versus Quantity of Education: A Conceptual Distinction
2.4. Hypotheses
3. Data and Variables
3.1. Sources of Data and Time Period
3.2. Variable Definitions and Measurement
4. Empirical Methodology
4.1. Descriptive Statistics
4.2. Unit Root Tests with Structural Breaks
| indicator | (ADF) test | (PP) test | Order | ||||||
|---|---|---|---|---|---|---|---|---|---|
| Level | 1st Difference | Level | 1st Difference | ||||||
| variable | Constant & trend | constant | constant | None | Constant & trend | constant | constant | None | |
| GDPG | -3.621 | - 3.19 | -3.195 | -9.76 | -3.695 | -3.093 | -9.99 | -10.79 | I (1) |
| (0.04) | (0.03) | (0.03) | (0.00) | (0.03) | (0.035) | (0.00) | (0.00) | ||
| LOG_EDEXP | -5.32 | -3.38 | -9.76 | -9.83 | -5.32 | -3.195 | -21.34 | -14.17 | I (1) |
| (0.00) | (0.017) | (0.00) | (0.00) | (0.00) | (0.027) | (0.00) | (0.00) | ||
| LOG_STR | -7.02 | -0.21 | -6.61 | -11.06 | -7.69 | -2.55 | -26.65 | -14.79 | I (1) |
| (0.00) | (0.93) | (0.00) | (0.00) | (0.00) | (0.11) | (0.00) | (0.00) | ||
| LOG_COMPR | -7.87 | -1.798 | -5.34 | -1.21 | -7.93 | -1.56 | -21.42 | -11.398 | I (1) |
| (0.00) | (0.38) | (0.00) | (0.20) | (0.00) | (0.49) | (0.00) | (0.00) | ||
| LOG_GCF | -3.296 | -1.86 | -9.20 | -9.05 | -3.30 | -1.66 | -9.32 | -9.13 | I (1) |
| (0.08) | (0.3473) | (0.00) | (0.00) | (0.0798) | (0.44) | (0.00) | (0.00) | ||
| LOG_LFP | -7.12 | -0.64 | -6.76 | -9.02 | -20.63 | -2.04 | -32.91 | -11.24 | I (1) |
| (0.00) | (0.85) | (0.00) | (0.00) | (0.00) | (0.27) | (0.00) | (0.00) | ||
| LOG_TRADE | -2.69 | -2.14 | -11.32 | -11.46 | -4.85 | -4.32 | -11.32 | -11.46 | I (1) |
| (0.25) | (0.23) | (0.00) | (0.00) | (0.00) | (0.00) | (0.00) | (0.00) | ||
| LOG_FDI | -2.11 | -1.83 | -8.59 | -8.67 | -2.15 | -1.78 | -8.42 | -8.48 | I (1) |
| (0.53) | (0.36) | (0.00) | (0.00) | (0.50) | (0.38) | (0.00) | (0.00) | ||
4.3. ARDL Bounds Testing Approach
4.4. Diagnostic Tests
| p-value | Value | Statistic of test | test |
|---|---|---|---|
| 0.6337 | 0.46495 | F-Statistic | B-G Serial Correlation LM Test |
| 0.4279 | 1.0672 | F-Statistic | Breusch-Pagan Godfrey |
| Heteroscedasticity Test | |||
| 0.637 | 0.9017 | Jarque-Bera | Normality Test |
| 0.1102 | 2.743 | F-Statistic | Ramsey RESET Test |
4.5. Structural Stability Tests (CUSUM and CUSUM of Squares)
4.5.1. CUSUM Test
4.5.2. CUSUM of Squares Test
4.6. ARDL Bounds Test for Cointegration
4.6.1. Long-Run Estimates
4.6.2. Short-Run Dynamics and Error Correction
5. Policy Implications for Egypt
5.1. Optimize Education Budget Allocation and Increase Efficiency
- Transparent Tracking Mechanisms: Create strong reporting and tracking mechanisms for education spending from the ministry to the school in order to minimize leakage and corruption.
- Medium Term Expenditure Frameworks: Implement multi-year planning processes to ensure that education financing is stable and predictable to facilitate long-term improvement in quality.
5.2. Prioritize Education Quality over Mere Enrollment Expansion
- Curriculum reform: Update curricula to emphasize critical thinking, problem-solving, and digital literacy over rote memorization. Align content with 21st-century skills and labor market demands.
- Teacher professional development: Egypt should establish a system of compulsory ongoing professional teacher development by learning from the examples of top-performing countries like Finland and Singapore that have made extensive investments in teacher quality improvement.
- Learning assessments: o assess students and assist students needing interventions early on, Egypt should implement a process of having regular standardized assessments (other than tests) to measure students’ educational performance against a common standard.
- Infrastructure investment: To improve access to educational resources for students, Egypt should invest in improving the physical resources (e.g., buildings) found in schools, especially in rural locations.
5.3. Expand and Upgrade Technical and Vocational Education and Training (TVET)
- Upgrade TVET institutions: Modernize equipment, curricula, and teaching methods in technical schools and training centers, partnering with industries for internships and apprenticeships.
- Partnerships with Industry: Develop formal linkages between TVET Institutions and Businesses to ensure curriculum relevance according to employer needs.; Examples include ICT training for the Digital Economy, Advanced Manufacturing, Renewable Energy, and Tourism.
- Dual training systems: Introduce German-style dual training models combining classroom instruction with on-the-job training, ensuring graduates have practical skills employers seek.
5.4. Address Regional Disparities and Promote Equitable Access
- Resource allocation targeted at underdeveloped governorates (i.e., Upper Egypt and frontier governorates), with a goal of reducing the quality gap in education
- Allocate resources using a needs-based formula rather than a population-based formula. Incentives to attract qualified teachers to rural areas, including increased salary and housing benefits, as well as opportunities for career advancement.
- Technology-enabled learning: Leverage ICT to deliver quality content to remote areas with few or no qualified teachers. Digital platforms can supplement -not replace- in-person instruction.
- School feeding programs: Continue and grow programs to eat healthier and have lower school dropout rates
- Conditional cash grants: Consider grant programs to encourage poor families to help keep kids in school until completing secondary school (such as Oportunidades in Mexico).
5.5. Strengthen Education-Labor Market Linkages
- Labor market information systems: Develop real-time tracking of skills demands, occupational forecasts, and graduate employment outcomes to inform education planning.
- Collaboration between Universities and Industry: Provide incentives for university collaborations with businesses for research, curriculum and student placements. Use tax incentives or matching grants to encourage industry partnerships.
- Providing Education for Entrepreneurs: Provide an Entrepreneurship Curriculum for both secondary and post-secondary schools, as many graduates will eventually be self-employed or start their own small businesses.
- Tracking Graduates: Develop a system to track employment outcomes (i.e., employment status, salary and job satisfaction) of graduates to measure program effectiveness and to identify areas of improvement.
5.6. Coordinate Education Policies with Broader Economic Reforms
- Reform the investment climate to enhance the business environment so that the growing economy eventually accommodates a growing number of educated graduates. Address bureaucratic red tape, strengthen property rights, and update regulatory structures.
- Maintain low and stable inflation and predictable exchange rate stability to incentivise long-term human capital investment and discourage brain drain.
- Reform labor laws that create job hiring rigidities which contribute to employers’ unwillingness to hire educated graduates.
- Attracting Foreign Direct Investments: Concentrate on attracting foreign direct investments (FDI) into sectors that will create jobs for educated personnel (i.e., technology, advanced manufacturing and business services) rather than focusing on resource extraction.
- Trade Policy: Engage in the pursuit of free trade agreements and export promotion of knowledge-based sectors where Egypt’s educated workforce offers a competitive advantage.
6. Conclusions
References
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| Variable | Definition and Measurement | Source | Transform | Expected Sign |
|---|---|---|---|---|
| GDPG | Annual GDP growth rate (constant 2015 US$). Dependent variable. | WDI | None | Dependent |
| EDEXP | Government expenditure on education as % of GDP. | WDI | Log | + (positive) |
| STR | Student-teacher ratio in primary education (quality proxy). | UNESCO UIS | Log | - (negative) |
| COMPR | Primary completion rate (% of relevant age group). | WDI | Log | + (positive) |
| GCF | Gross capital formation (% of GDP). | WDI | Log | + (positive) |
| LFP | Labor force participation rate (% of pop 15+). | WDI | Log | + (positive) |
| TRADE | Trade openness: (exports + imports) as % of GDP. | WDI | Log | + (positive) |
| FDI | Foreign direct investment net inflows (% of GDP). | WDI | Log(1+FDI) | + (positive) |
| GDPG | LOG_ EDEXP |
LOG_ STR |
LOG_ COMPR |
LOG_ GCF |
LOG_ LFP |
LOG_ TRADE |
LOG_ FDI |
||
|---|---|---|---|---|---|---|---|---|---|
| Mean | 4.856818 | 1.429217 | 3.207777 | 4.370475 | 2.944502 | 3.845226 | 3.849625 | 1.178603 | |
| Median | 4.550000 | 1.410975 | 3.212856 | 4.376370 | 2.916115 | 3.847697 | 3.827093 | 1.100165 | |
| Maximum | 9.370000 | 1.633154 | 3.370738 | 4.552824 | 3.509753 | 3.901973 | 4.069539 | 2.192770 | |
| Minimum | 1.650000 | 1.238374 | 3.034953 | 4.125520 | 2.554899 | 3.799526 | 3.664331 | 0.598837 | |
| Std. Dev. | 1.884545 | 0.084634 | 0.088614 | 0.117304 | 0.259813 | 0.023878 | 0.114245 | 0.396521 | |
| Skewness | 0.642447 | 0.388333 | -0.321847 | -0.243085 | 0.613969 | 0.057221 | 0.437930 | 0.777181 | |
| Kurtosis | 2.937302 | 2.861721 | 2.422980 | 1.970356 | 2.359915 | 2.467564 | 2.157237 | 2.857502 | |
| Jarque-Bera | 3.033955 | 1.140938 | 1.370041 | 2.376967 | 3.515486 | 0.543740 | 2.708528 | 4.466638 | |
| Probability | 0.219374 | 0.565260 | 0.504080 | 0.304683 | 0.172434 | 0.761953 | 0.258137 | 0.107172 | |
| Sum | 213.7000 | 62.88556 | 141.1422 | 192.3009 | 129.5581 | 169.1899 | 169.3835 | 51.85853 | |
| Sum Sq. Dev. | 152.7150 | 0.308004 | 0.337657 | 0.591691 | 2.902630 | 0.024518 | 0.561237 | 6.760826 | |
| Observations | 44 | 44 | 44 | 44 | 44 | 44 | 44 | 44 | |
| Null hypothesis: No levels relationship | ||||||
| Number of cointegrating variables: 7 | ||||||
| Trend type: Rest. constant (Case 2) | ||||||
| Sample size: 42 | ||||||
| Test Statistic | Value | |||||
| F-statistic | 6.228301 | |||||
| Bounds Critical Values | ||||||
| Sample ... | 10% | 5% | 1% | |||
| I(0) | I(1) | I(0) | I(1) | I(0) | I(1) | |
| 40 | 2.152 | 3.296 | 2.523 | 3.829 | 3.402 | 5.031 |
| 45 | 2.131 | 3.223 | 2.504 | 3.723 | 3.383 | 4.832 |
| Asymptotic | 1.92 | 2.89 | 2.17 | 3.21 | 2.73 | 3.9 |
| * I(0) and I(1) are respectively the stationary and non-stationary bounds. | ||||||
| Variable | Coefficient | Std. Error | t-Statistic | Prob.* |
|---|---|---|---|---|
| GDPG(-1) | 0.165202 | 0.135846 | 1.216098 | 0.2349 |
| LOG_EDEXP | -5.70501 | 2.963919 | -1.92482 | 0.0653 |
| LOG_STR | -2.57788 | 3.072299 | -0.83907 | 0.4091 |
| LOG_STR(-1) | -7.46574 | 3.484427 | -2.1426 | 0.0417 |
| LOG_COMPR | -20.1626 | 6.206683 | -3.24852 | 0.0032 |
| LOG_COMPR(-1) | 17.63614 | 5.057353 | 3.487228 | 0.0018 |
| LOG_GCF | 6.842541 | 1.77 | 3.865843 | 0.0007 |
| LOG_GCF(-1) | -0.75252 | 1.879832 | -0.40031 | 0.6922 |
| LOG_GCF(-2) | 4.651307 | 1.739595 | 2.673787 | 0.0128 |
| LOG_LFP | -32.2551 | 14.95281 | -2.15713 | 0.0404 |
| LOG_TRADE | 0.003362 | 1.969343 | 0.001707 | 0.9987 |
| LOG_TRADE(-1) | -3.37237 | 2.610551 | -1.29182 | 0.2078 |
| LOG_FDI | 1.227386 | 1.160891 | 1.057279 | 0.3001 |
| LOG_FDI(-1) | 0.1671 | 0.964942 | 0.173171 | 0.8639 |
| LOG_FDI(-2) | -1.98891 | 0.990376 | -2.00824 | 0.0551 |
| C | 161.5645 | 80.60663 | 2.004357 | 0.0556 |
| R-squared | 0.848315 | Mean dependent var | 4.741905 | |
| Adjusted R-squared | 0.760804 | S.D. dependent var | 1.84822 | |
|
S.E. of regression |
0.903922 | Akaike info criterion | 2.918184 | |
| Schwarz criterion | 3.580154 | |||
| Hannan-Quinn criter. | 3.160822 | |||
| F-statistic | 9.693822 | Durbin-Watson stat | 2.010262 | |
| Prob(F-statistic) | 0.00 | |||
| Variable | Coefficient | Std. Error | t-Statistic | Prob. |
|---|---|---|---|---|
| COINTEQ* | -0.8348 | 0.097504 | -8.56168 | 0.00 |
| D(LOG_STR) | -2.57788 | 1.971366 | -1.30766 | 0.1998 |
| D(LOG_COMPR) | -20.1626 | 3.968096 | -5.08117 | 0.00 |
| D(LOG_GCF) | 6.842541 | 1.262087 | 5.421608 | 0.00 |
| D(LOG_GCF(-1)) | -4.65131 | 1.377898 | -3.37565 | 0.0019 |
| D(LOG_TRADE) | 0.003362 | 1.143727 | 0.002939 | 0.9977 |
| D(LOG_FDI) | 1.227386 | 0.727284 | 1.68763 | 0.1006 |
| D(LOG_FDI(-1)) | 1.988908 | 0.745065 | 2.669441 | 0.0116 |
| R-squared | 0.794093 | Mean dependent var | -0.05119 | |
| Adjusted R-squared | 0.7517 | S.D. dependent var | 1.586317 | |
| S.E. of regression | 0.790457 | Akaike info criterion | 2.537232 | |
| Schwarz criterion | 2.868217 | |||
| Log likelihood | -45.2819 | Hannan-Quinn criter. | 2.658551 | |
| F-statistic | 18.73185 | Durbin-Watson stat | 2.010262 | |
| Prob(F-statistic) | 0.00 | |||
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