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  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher-id">115</journal-id>
      <journal-id journal-id-type="index">urn:lsid:arphahub.com:pub:32e1b97d-7003-598d-92e7-0ceb44416cc9</journal-id>
      <journal-title-group>
        <journal-title xml:lang="en">BRICS Journal of Economics</journal-title>
        <abbrev-journal-title xml:lang="en">brics-econ</abbrev-journal-title>
      </journal-title-group>
      <issn pub-type="ppub">2712-7702</issn>
      <issn pub-type="epub">2712-7508</issn>
      <publisher>
        <publisher-name>BRICS Journal of Economics</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.3897/brics-econ.7.e162074</article-id>
      <article-id pub-id-type="publisher-id">162074</article-id>
      <article-categories>
        <subj-group subj-group-type="heading">
          <subject>Research Article</subject>
        </subj-group>
        <subj-group subj-group-type="scientific_subject">
          <subject>(O) Economic Development</subject>
          <subject> Innovation</subject>
          <subject> Technological Change</subject>
          <subject> and Growth</subject>
        </subj-group>
      </article-categories>
      <title-group>
        <article-title>The Nexus between Government Investment in Human Capital and Economic Growth in Nigeria: when Institutions Matter</article-title>
      </title-group>
      <contrib-group content-type="authors">
        <contrib contrib-type="author" corresp="yes">
          <name name-style="western">
            <surname>Awuna</surname>
            <given-names>Jude Msonter</given-names>
          </name>
          <email xlink:type="simple">awunajd@gmail.com</email>
          <uri content-type="orcid">https://orcid.org/0009-0002-4835-1945</uri>
          <xref ref-type="aff" rid="A1">1</xref>
          <xref ref-type="aff" rid="A2">2</xref>
        </contrib>
        <contrib contrib-type="author" corresp="no">
          <name name-style="western">
            <surname>Malkina</surname>
            <given-names>Marina Yu.</given-names>
          </name>
          <uri content-type="orcid">https://orcid.org/0000-0002-3152-3934</uri>
          <xref ref-type="aff" rid="A1">1</xref>
        </contrib>
        <contrib contrib-type="author" corresp="no">
          <name name-style="western">
            <surname>Adejo</surname>
            <given-names>Moses Adejo</given-names>
          </name>
          <uri content-type="orcid">https://orcid.org/0000-0002-1779-9248</uri>
          <xref ref-type="aff" rid="A3">3</xref>
        </contrib>
      </contrib-group>
      <aff id="A1">
        <label>1</label>
        <addr-line content-type="verbatim">Lobachevsky State University of Nizhni Novgorod (Russia),</addr-line>
        <institution>Lobachevsky State University of Nizhni Novgorod</institution>
        <addr-line content-type="city">Nizhni Novgorod</addr-line>
        <country>Russia</country>
        <uri content-type="ror">https://ror.org/01bb1zm18</uri>
      </aff>
      <aff id="A2">
        <label>2</label>
        <addr-line content-type="verbatim">Joseph Sarwuan Tarka University, Markudi (Nigeria)</addr-line>
        <institution>Centre for the Study of the Economies of Africa</institution>
        <addr-line content-type="city">Abuja</addr-line>
        <country>Nigeria</country>
        <uri content-type="ror">https://ror.org/04edkgm69</uri>
      </aff>
      <aff id="A3">
        <label>3</label>
        <addr-line content-type="verbatim">Centre for the Study of the Economies of Africa, Abuja (Nigeria)</addr-line>
        <institution>Joseph Sarwuan Tarka University</institution>
        <addr-line content-type="city">Markudi</addr-line>
        <country>Nigeria</country>
        <uri content-type="ror">https://ror.org/05hgtp764</uri>
      </aff>
      <author-notes>
        <fn fn-type="corresp">
          <p>Corresponding author: Jude Msonter Awuna (awunajd@gmail.com)</p>
        </fn>
        <fn fn-type="edited-by">
          <p>Academic editor: Sheresheva M.</p>
        </fn>
      </author-notes>
      <pub-date pub-type="collection">
        <year>2026</year>
      </pub-date>
      <pub-date pub-type="epub">
        <day>03</day>
        <month>07</month>
        <year>2026</year>
      </pub-date>
      <volume>7</volume>
      <issue>2</issue>
      <fpage>81</fpage>
      <lpage>99</lpage>
      <uri content-type="arpha" xlink:href="http://openbiodiv.net/0E9C4BE0-5484-5359-B3A4-2FE1AFA1BA9E">0E9C4BE0-5484-5359-B3A4-2FE1AFA1BA9E</uri>
      <history>
        <date date-type="received">
          <day>14</day>
          <month>06</month>
          <year>2025</year>
        </date>
        <date date-type="accepted">
          <day>03</day>
          <month>04</month>
          <year>2026</year>
        </date>
      </history>
      <permissions>
        <copyright-statement>Jude Msonter Awuna, Marina Yu. Malkina, Moses Adejo Adejo</copyright-statement>
        <license license-type="creative-commons-attribution" xlink:href="http://creativecommons.org/licenses/by/4.0/" xlink:type="simple">
          <license-p>This is an open access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.</license-p>
        </license>
      </permissions>
      <abstract>
        <label>Abstract</label>
        <p>This study examines the relationship between government investment in human capital and economic growth in Nigeria between 1981 and 2023, as mediated by institutional quality. Specifically, the study uses the Dynamic Autoregressive Distributed Lag (<abbrev xlink:title="Dynamic Autoregressive Distributed Lag">D-ARDL</abbrev>) approach to evaluate the roles of public expenditure on education and health, governance quality, and gross capital formation. The augmented Dickey-Fuller test confirmed stationarity of the time series at first difference. The Bai-Perron and Chow tests identified structural breaks and the <abbrev xlink:title="Autoregressive Distributed Lag">ARDL</abbrev> bounds test established a long-run relationship between the variables. The results reveal a stable long-term equilibrium between investment in human development and economic growth. Health expenditure has a positive and significant long-term effect on GDP, which supports the hypothesis of health-led growth. Education expenditure has a positive effect over time, indicating that the benefits of education spending are realized gradually. However, the interaction terms reveal that the effectiveness of health and education spending hinges critically on institutional quality. Poor governance can undermine or even reverse the growth-enhancing effects of public spending. Institutional quality itself is found to significantly influence growth dynamics. The findings suggest that human development is not only an outcome of economic expansion, but also a driver of long-term growth in Nigeria’s economy. The study concluded that sustained growth required increased and efficient investment in the social sector, supported by strong institutions that promote accountability, transparency, and policy stability.</p>
      </abstract>
      <kwd-group>
        <label>Keywords</label>
        <kwd>Human capital</kwd>
        <kwd>education expenditure</kwd>
        <kwd>healthcare expenditure</kwd>
        <kwd>economic growth</kwd>
        <kwd>institutional quality</kwd>
        <kwd>gross domestic product</kwd>
        <kwd>gross capital formation.</kwd>
      </kwd-group>
      <custom-meta-group>
        <custom-meta>
          <meta-name>JEL</meta-name>
          <meta-value>G01, F37</meta-value>
        </custom-meta>
      </custom-meta-group>
    </article-meta>
    <notes>
      <sec sec-type="Citation" id="sec1">
        <title>Citation</title>
        <p>Awuna, J. M., Malkina, M. Yu., &amp; Adejo, M. A. (2026). The Nexus between Government Investment in Human Capital and Economic Growth in Nigeria: when Institutions Matter. BRICS Journal of Economics, 7(2), 81–99. <ext-link xlink:type="simple" ext-link-type="doi" xlink:href="10.3897/brics-econ.7.e162074">https://doi.org/10.3897/brics-econ.7.e162074</ext-link></p>
      </sec>
    </notes>
  </front>
  <body>
    <sec sec-type="Introduction" id="sec2">
      <title>Introduction</title>
      <p>Economic growth has long been a central part of the development discussion, often seen as both a way to and a measurement of societal progress. For decades, increases in GDP were thought to indicate improvements in welfare, productivity and living standards. Over time, however, this growth-centric view has been questioned (<xref ref-type="bibr" rid="B4">Aitken, 2019</xref>). Experience of global development suggests that sustained economic expansion does not automatically lead to improvements in health, education or overall well-being (<xref ref-type="bibr" rid="B33">Senturk et al., 2023</xref>). Consequently, attention has gradually shifted towards viewing human development as both an outcome of and a crucial driver of growth.</p>
      <p>Human capital development is vital for economic growth, especially in developing countries. This includes spending on education, skills development, and healthcare. Given the recent shift towards a knowledge-based economy in most parts of the world, it is crucial for every nation to boost the productivity of its labour force. (<xref ref-type="bibr" rid="B32">Schwab, 2020</xref>).</p>
      <p>At a global level, both advanced and emerging economies have demonstrated that investing in human capital can fundamentally influence growth patterns. Countries that prioritize education, health, and social protection tend to exhibit more resilient and inclusive growth patterns. The experiences of emerging economies, particularly the BRICS countries (Brazil, Russia, India, China and South Africa), have reinforced this perspective (<xref ref-type="bibr" rid="B36">Shuangshuang et al., 2023</xref>).</p>
      <p>From a continental standpoint, Africa presents a complex and uneven picture. Several African economies have experienced robust growth over the last two decades, but improvements in human development have been slow and fragile (<xref ref-type="bibr" rid="B44">Zhang, 2014</xref>). The weak link between economic growth and human development is due to structural challenges, such as limited fiscal capacity, high population growth and institutional constraints.</p>
      <p>Countries with insufficient human capital face the risk of economic stagnation, which is likely to push their citizens into poverty. This is evident in Nigeria, an African giant in terms of both gross domestic product and population size. Despite recording an average annual gross domestic product growth of 2.9% between 2015 and 2021, Nigeria has experienced a steady decline in annual per capita income as well as a very high unemployment rate (<xref ref-type="bibr" rid="B43">World Bank, 2022</xref>).</p>
      <p>In Nigeria, underinvestment in human capital development has created many challenges in achieving sustainable economic growth. For example, allocations to healthcare and education have been low in Nigeria over the years, at around 5% and 7% of the total annual budget respectively. This is far from the 15–20% recommended by the United Nations Educational, Scientific and Cultural Organization (<xref ref-type="bibr" rid="B41">UNESCO, 2023</xref>).). The poor quality of institutions responsible for ensuring that government expenditure on education and healthcare is properly utilized, and the population’s lack of access to quality healthcare and education, are among the factors that have had a negative impact on the country’s economic growth and development. Despite its vast natural resources and episodes of strong economic growth, Nigeria continues to rank relatively low on global human development indices. Compared to the BRICS economies, Nigeria lags significantly in key indicators such as life expectancy, educational attainment and human capital quality, even though it shares similar aspirations for structural transformation and global relevance (<xref ref-type="bibr" rid="B28">Olanrele &amp; Oshota, 2025</xref>). This divergence raises a critical question: to what extent has human development contributed to Nigeria’s economic growth, and how effectively has economic growth translated into improvements in human development?</p>
      <p>This study is novel in that it explores the relationship between public investment in human capital, other macroeconomic variables and economic growth by constructing a dynamic autoregressive distributed lag (<abbrev xlink:title="Dynamic Autoregressive Distributed Lag">D-ARDL</abbrev>) model. It also uses an integrated empirical approach to assess the dynamic relationship between human development and economic growth within a single-country framework, while contextualizing the findings within the experiences of the broader global and emerging economies. The advantage of this method is that it allows us to observe both short-term and long-term relationships, capture adjustment dynamics and support small samples in country-specific studies. Unlike studies that treat human capital merely as a social outcome of growth, this paper examines it as a productive factor interacting with institutional quality and other macroeconomic dynamics. By doing so, this study contributes to the existing body of literature.</p>
    </sec>
    <sec sec-type="1. Literature Review" id="sec3">
      <title>1. Literature Review</title>
      <p>The impact of human capital development on economic growth has been studied in the endogenous growth theory, proposed by <xref ref-type="bibr" rid="B8">Becker (1964)</xref>, <xref ref-type="bibr" rid="B27">Lucas (1988)</xref> and <xref ref-type="bibr" rid="B31">Romer (1990)</xref>. Their models state that expenditure on education and healthcare is key to sustaining long-term economic growth. Using the augmented Solow model, <xref ref-type="bibr" rid="B17">Eigbiremolen and Anaduaka (2011)</xref> also found that human capital and total government expenditure on education play a significant role in determining the level of economic output.</p>
      <sec sec-type="1.1. Education Expenditure and Economic Growth" id="sec4">
        <title>1.1. Education Expenditure and Economic Growth</title>
        <p>Education is often considered the basis for developing human capital in all developing countries. Recent studies have examined the relationship between education and economic growth in Nigeria. For instance, <xref ref-type="bibr" rid="B10">Chima and Yusuf (2023)</xref> used the Autoregressive Distributed Lag (<abbrev xlink:title="Autoregressive Distributed Lag">ARDL</abbrev>) model to demonstrate that investment in healthcare and education has a positive impact on the GDP growth rate in the short and long term. Therefore, education plays a vital role in Nigeria’s economic growth.</p>
        <p>Similarly, <xref ref-type="bibr" rid="B42">Wang and Zhang (2024)</xref> found that public spending on education had a stimulatory effect on economic growth in countries with stable and relatively more developed economies. They used a panel Ordinary Least Squares (<abbrev xlink:title="Ordinary Least Squares">OLS</abbrev>) model with data spanning from 1995 to 2015 for China and Malaysia as a case study. The study also investigated the impact of six factors related to government spending on education and found that investment in secondary schools was strongly associated with prominent economic returns. Also, <xref ref-type="bibr" rid="B15">Diakodimitriou et al. (2025)</xref> used econometric techniques such as adaptive LASSO and the 3SLS model on data from 1996 to 2019 for Germany, France, Greece, Italy, Spain and Portugal. They showed that education expenditure significantly impacted GDP per capita and identified R&amp;D expenditure as the main channel through which education expenditure influences economic growth. <xref ref-type="bibr" rid="B45">Ziberi et al. (2022)</xref> investigated the relationship between increased public spending on education and economic growth in North Macedonia. Using data from 1917 to 2020 and the two-stage least squares instrumental variables method, they found that an increase in public spending on education had a positive impact on economic growth.</p>
        <p>However, not all researchers agree that educational expenditure has a positive effect on economic growth. Some studies have suggested that educational spending could have a negative effect on economic development. For example, Abbah et al. in their study on government spending on human capital formation and economic growth in Nigeria found that educational expenditures had a negative impact in the short-term when using a vector error correction model with data from 1992-2021. They noted that the immediate impact of educational spending on growth could not be seen in the short run. <xref ref-type="bibr" rid="B39">Trinh (2025)</xref> also studied the impact of education expenditure on the economic growth of Southeast Asian countries. Using Generalized Method of Moments on data from 1998 to 2022, they found negative coefficients for education expenditure and positive coefficients for institutional quality. This suggests that the impact of education expenditure on growth depends on the quality of governance. <xref ref-type="bibr" rid="B14">Degefa and Daba (2025)</xref>, in their study on the impact of public expenditure on economic growth in Ethiopia used an Autoregressive Distributed Lag Model and data from 1970 to 2021 and found a negative relationship between education expenditure and economic growth in the short run. In the same vein, <xref ref-type="bibr" rid="B1">Abaneme and Aworinde (2025)</xref> investigated the effect of government education expenditure on inclusive economic growth in Nigeria using data from 1990 to 2023 and by constructing <abbrev xlink:title="Autoregressive Distributed Lag">ARDL</abbrev> model found that education expenditure had a negative impact on growth in both the short and long term.</p>
        <p>Despite the substantial body of research on education expenditure and economic growth, the findings remain mixed, particularly in the context of developing countries such as Nigeria. While some studies show a positive relationship, others reveal negative or insignificant effects, often attributing this to poor governance. Therefore, this study aims to examine both the scale of education expenditure and the quality of the institutional frameworks through which it can stimulate economic growth.</p>
      </sec>
      <sec sec-type="1.2. Healthcare Expenditure and Economic Growth" id="sec5">
        <title>1.2. Healthcare Expenditure and Economic Growth</title>
        <p>Healthcare is another essential component of human capital development, which affects life expectancy, labor productivity, savings, investment and workforce participation in economic activity. A healthy lifestyle is essential for the population to be productive. Access to high-quality healthcare increases the efficiency of the workforce. As is commonly said, a healthy nation is a wealthy nation.</p>
        <p>Many researchers have found links between healthcare spending and economic growth in different countries. For instance, <xref ref-type="bibr" rid="B5">Akinbode et al. (2021)</xref> investigated the impact of health on economic growth in sub-Saharan Africa using the system-generalized method of moments (<abbrev xlink:title="system-generalized method of moments">SGMM</abbrev>). The study found that health expenditure had a significant impact on economic growth in the countries under review. This led the authors to emphasize the importance of healthcare in the region’s economic development. <xref ref-type="bibr" rid="B21">Hu and Wang (2024)</xref> explored the effects of public health expenditure on economic growth in 33 OECD countries between 2001 and 2017. They constructed a nonlinear dynamic panel threshold model and used it to empirically analyze the threshold effect of public health expenditure on economic growth. They found that in conditions of higher household consumption, employee wages and physical capital investment, public health expenditure will make a significant contribution to economic growth. This is largely true for Nigeria as well.</p>
        <p>A study carried out by <xref ref-type="bibr" rid="B22">Ikpe et al. (2024)</xref>, based on data from 27 Sub-Saharan African countries over the period 2005-2021, identified the role of governance quality in the relationship between health expenditure and economic growth. Using the two-step dynamic panel data - system generalized method of moments (<abbrev xlink:title="dynamic panel data">DPD</abbrev>-<abbrev xlink:title="system-generalized method of moments">SGMM</abbrev>) estimation technique - the authors established a significant positive relationship between health expenditure and economic growth. <xref ref-type="bibr" rid="B38">Sosvilla-Rivero et al. (2025)</xref> examined the impact of public expenditure on economic growth in 28 European Union (<abbrev xlink:title="European Union">EU</abbrev>) countries between 1995 and 2022. They estimated a growth model for public expenditure using the Autoregressive Distributed Lag panel data approach and found that healthcare expenditure had a positive effect on economic growth over the long term. Similarly, in their study of the relationship between healthcare spending and economic growth among the BRICS countries, <xref ref-type="bibr" rid="B16">Dritsaki et al. (2025)</xref> used a panel cointegrated approach with data from 2000-2021 and a dynamic panel <abbrev xlink:title="Autoregressive Distributed Lag">ARDL</abbrev> model, finding that healthcare spending had a positive and significant impact on long-term economic growth. Furthermore, using panel data spanning from 1980 to 2015, Cui and colleagues found a positive correlation between healthcare expenditures and economic development in the long run. Studies by <xref ref-type="bibr" rid="B29">Ozyilmaz et al. (2022)</xref>, <xref ref-type="bibr" rid="B20">Govdeli (2023)</xref>, <xref ref-type="bibr" rid="B34">Sethi et al. (2024)</xref>, <xref ref-type="bibr" rid="B21">Hu and Wang (2024)</xref> also found a positive relationship between health expenditure and economic growth.</p>
        <p>Other researchers have found that healthcare expenditure has a negative impact on economic growth. For example, <xref ref-type="bibr" rid="B18">Faruk et al. (2022)</xref> examined the relationship between healthcare spending, institutions and economic growth in MENA countries using ordinary least squares (<abbrev xlink:title="Ordinary Least Squares">OLS</abbrev>) with panel data from 2000 to 2017. They concluded that increased healthcare spending does not lead to higher economic growth. Similarly, <xref ref-type="bibr" rid="B23">Islam et al. (2023)</xref> found that healthcare expenditure exhibited a strong negative relationship with GDP growth in Saudi Arabia, using data from 1990 to 2019 and a vector error correction model.</p>
        <p>A careful synthesis of previous research reveals that studies have employed a variety of methodologies to investigate the relationship between human capital and economic growth in different countries. However, none of these studies have considered the role of governance quality in translating education and health expenditure into economic growth in Nigeria. Furthermore, no previous study has employed the novel dynamic <abbrev xlink:title="Autoregressive Distributed Lag">ARDL</abbrev> model, which illustrates the short- and long-term effects of independent variables on the dependent variable. This study uses Nigeria as a case study to make a new contribution to our understanding of the relationship between human capital and economic growth. It applies methods such as the dynamic <abbrev xlink:title="Autoregressive Distributed Lag">ARDL</abbrev> model and the Bai-Perron and Chow tests to confirm structural breaks.</p>
      </sec>
    </sec>
    <sec sec-type="2. Data and Methods" id="sec6">
      <title>2. Data and Methods</title>
      <p>Time series data from 1981 to 2023 was used for the following variables:</p>
      <list list-type="bullet">
        <list-item>
          <p>Real gross domestic product (<abbrev xlink:title="Real gross domestic product">RGDP</abbrev>) in billions of US dollars, as a proxy for economic growth;
</p>
        </list-item>
        <list-item>
          <p>Government expenditure on education (<abbrev xlink:title="Government expenditure on education">GEXE</abbrev>), as a percentage of total government expenditure in billions of Naira;
</p>
        </list-item>
        <list-item>
          <p>Government expenditure on health (<abbrev xlink:title="Government expenditure on health">GEXH</abbrev>), as a percentage of total government expenditure in billions of Naira;
</p>
        </list-item>
        <list-item>
          <p>Gross capital formation (<abbrev xlink:title="Gross capital formation">GCF</abbrev>), measured in billions of Naira;
</p>
        </list-item>
        <list-item>
          <p>Institutional quality (<abbrev xlink:title="Institutional quality">INSQ</abbrev>), as a composite function of political stability, control of corruption and rule of law.
</p>
        </list-item>
      </list>
      <p>The data on these variables were retrieved from the World Development Indicators (<abbrev xlink:title="World Development Indicators">WDI</abbrev>)<sup><xref ref-type="fn" rid="en1">1</xref></sup>.</p>
      <p>The study employed the innovative Dynamic Autoregressive Distributed Lag (<abbrev xlink:title="Dynamic Autoregressive Distributed Lag">DARDL</abbrev>) model, constructed to examine the impact of public investment in human capital on economic growth in Nigeria. Stationarity was tested using Augmented Dickey-Fuller while Bai-Perron test was used to find out structural breaks in the variables.</p>
      <sec sec-type="Model Specification" id="sec7">
        <title>Model Specification</title>
        <p>The functional model for this study is specified as follows:</p>
        <p><italic><abbrev xlink:title="Real gross domestic product">RGDP</abbrev><sub>t</sub></italic> = β<sub>0</sub> + β<sub>1</sub><italic><abbrev xlink:title="Government expenditure on education">GEXE</abbrev><sub>t</sub></italic> + β<sub>2</sub><italic><abbrev xlink:title="Government expenditure on health">GEXH</abbrev><sub>t</sub></italic> + β<sub>3</sub><italic><abbrev xlink:title="Institutional quality">INSQ</abbrev><sub>t</sub></italic> + β<sub>4</sub><italic><abbrev xlink:title="Gross capital formation">GCF</abbrev><sub>t</sub></italic> + ε<sub><italic>t</italic></sub> (1)</p>
        <p>where β<sub>0</sub> is constant term, β<sub>1</sub> – β<sub>4</sub> are coefficients of the independent variables, <italic><abbrev xlink:title="Real gross domestic product">RGDP</abbrev></italic> is real gross domestic product, a proxy for economic growth, <italic><abbrev xlink:title="Government expenditure on education">GEXE</abbrev></italic> is government expenditure on education, <italic>GEXEH</italic> is government expenditure on health, <italic><abbrev xlink:title="Institutional quality">INSQ</abbrev></italic> is institutional quality, <italic><abbrev xlink:title="Gross capital formation">GCF</abbrev></italic> is gross capital formation, ε is the error term.</p>
        <p>Based on the methodology proposed by <xref ref-type="bibr" rid="B24">Jordan and Phillips (2018)</xref> and applied by <xref ref-type="bibr" rid="B35">Shamwil and Malkina (2025)</xref>, this study develops the modified dynamic model of the following form:</p>
        <p>∆ln<italic><abbrev xlink:title="Real gross domestic product">RGDP</abbrev><sub>t</sub></italic> = α<sub>0</sub> + α<sub>1</sub>ln<italic><abbrev xlink:title="Real gross domestic product">RGDP</abbrev><sub>t</sub></italic><sub>– 1</sub> + γ<sub>1</sub>∆ln<italic><abbrev xlink:title="Government expenditure on education">GEXE</abbrev><sub>t</sub></italic> + ϕ<sub>1</sub>ln<italic><abbrev xlink:title="Government expenditure on education">GEXE</abbrev><sub>t</sub></italic><sub>– 1</sub> + γ<sub>2</sub>∆ln<italic><abbrev xlink:title="Government expenditure on health">GEXH</abbrev><sub>t</sub></italic> + + ϕ<sub>2</sub>ln<italic><abbrev xlink:title="Government expenditure on health">GEXH</abbrev><sub>t</sub></italic><sub>– 1</sub> + γ<sub>3</sub>∆<italic><abbrev xlink:title="Institutional quality">INSQ</abbrev><sub>t</sub></italic> + ϕ<sub>3</sub><italic><abbrev xlink:title="Institutional quality">INSQ</abbrev><sub>t</sub></italic><sub>– 1</sub> + γ<sub>4</sub>∆ln<italic><abbrev xlink:title="Gross capital formation">GCF</abbrev><sub>t</sub></italic> + ϕ<sub>4</sub>ln<italic><abbrev xlink:title="Gross capital formation">GCF</abbrev><sub>t</sub></italic><sub>– 1</sub> + μ<sub><italic>t</italic></sub>. (2)</p>
        <p>This study suggests that institutional quality can act as a moderating component in the relationship between economic growth, education expenditure and health expenditure. Following the work of <xref ref-type="bibr" rid="B40">Udeagha and Breitenbach (2023)</xref>, equation (2) is modified by including the interactive term to account for the effect. Thus, the new dynamic simulation is specified as follows:</p>
        <p>∆ln<italic><abbrev xlink:title="Real gross domestic product">RGDP</abbrev><sub>t</sub></italic> = α<sub>0</sub> + α<sub>1</sub>ln<italic><abbrev xlink:title="Real gross domestic product">RGDP</abbrev><sub>t</sub></italic><sub>– 1</sub> + γ<sub>1</sub>∆ln<italic><abbrev xlink:title="Government expenditure on education">GEXE</abbrev><sub>t</sub></italic> + ϕ<sub>1</sub>ln<italic><abbrev xlink:title="Government expenditure on education">GEXE</abbrev><sub>t</sub></italic><sub>– 1</sub> + + ψ1 * (ln<italic><abbrev xlink:title="Government expenditure on education">GEXE</abbrev><sub>t</sub></italic> * <italic><abbrev xlink:title="Institutional quality">INSQ</abbrev><sub>t</sub></italic>) + γ<sub>2</sub>∆ln<italic><abbrev xlink:title="Government expenditure on health">GEXH</abbrev><sub>t</sub></italic> + ϕ<sub>2</sub>ln<italic><abbrev xlink:title="Government expenditure on health">GEXH</abbrev><sub>t</sub></italic><sub>– 1</sub> + ψ<sub>2</sub> * (ln<italic><abbrev xlink:title="Government expenditure on health">GEXH</abbrev><sub>t</sub></italic> * <italic><abbrev xlink:title="Institutional quality">INSQ</abbrev><sub>t</sub></italic>) + γ<sub>3</sub>∆<italic><abbrev xlink:title="Institutional quality">INSQ</abbrev><sub>t</sub></italic> + ϕ<sub>3</sub><italic><abbrev xlink:title="Institutional quality">INSQ</abbrev><sub>t</sub></italic><sub>– 1</sub> + + γ<sub>4</sub>∆ln<italic><abbrev xlink:title="Gross capital formation">GCF</abbrev><sub>t</sub></italic> + ϕ<sub>4</sub>ln<italic><abbrev xlink:title="Gross capital formation">GCF</abbrev><sub>t</sub></italic><sub>– 1</sub> + μ<italic><sub>t</sub></italic>. (3)</p>
      </sec>
    </sec>
    <sec sec-type="3. Results and Discussion" id="sec8">
      <title>3. Results and Discussion</title>
      <sec sec-type="3.1. Summary Statistics" id="sec9">
        <title>3.1. Summary Statistics</title>
        <p>Table <xref ref-type="table" rid="T5">5</xref> summarises the statistics for the variables used in the model. The results show that the LRGDP, with a mean value of 7.59, exhibits a relatively stable growth pattern over the review period, with a low standard deviation of 0.23 confirming moderate fluctuations and a generally smooth growth trajectory. LGEXE and LGEXH record mean values of 4.87 and 4.20 respectively, with comparatively higher standard deviations of 1.19 and 1.44, implying relative volatility in spending on social sectors in Nigeria. LGCF exhibits a higher mean value of 8.86 with standard deviation of 0.94, indicating moderate variability in investment levels over time. <abbrev xlink:title="Institutional quality">INSQ</abbrev> with standard deviation of 1.67 demonstrates substantial variations, indicating noticeable changes in governance and institutional performance throughout the study period.</p>
        <p>The skewness coefficients of most variables are negative, indicating slight left-skewness, while gross capital formation is distributed fairly symmetrically. Kurtosis values for all variables are less than 3, implying platykurtic distributions and the absence of outliers. Furthermore, the Jarque-Bera statistics and their associated probabilities suggest that the null hypothesis of normality cannot be rejected for any of the variables except for <abbrev xlink:title="Institutional quality">INSQ</abbrev>. This is consistent with the findings of <xref ref-type="bibr" rid="B11">Chuba and Muse (2025)</xref>.</p>
      </sec>
      <sec sec-type="3.2. Stationarity Test" id="sec10">
        <title>3.2. Stationarity Test</title>
        <p>Table <xref ref-type="table" rid="T1">1</xref> shows the results of the augmented Dickey–Fuller (<abbrev xlink:title="augmented Dickey–Fuller">ADF</abbrev>) stationarity test for the variables. The results show that all variables are stationary after first differencing, meaning that all variables used in the model are integrated of order one, and therefore the null hypothesis that the variables are non-stationary is rejected.</p>
        <table-wrap id="T1" position="float" orientation="portrait">
          <label>Table 1.</label>
          <caption>
            <p>Descriptive statistics for model variables</p>
          </caption>
          <table>
            <tbody>
              <tr>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1">
                  <bold>lnRGDP</bold>
                </td>
                <td rowspan="1" colspan="1">
                  <bold>lnGEXE</bold>
                </td>
                <td rowspan="1" colspan="1">
                  <bold>lnGEXH</bold>
                </td>
                <td rowspan="1" colspan="1">
                  <bold>lnGCF</bold>
                </td>
                <td rowspan="1" colspan="1">
                  <bold>
                    <abbrev xlink:title="Institutional quality">INSQ</abbrev>
                  </bold>
                </td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Mean</td>
                <td rowspan="1" colspan="1">7.592249</td>
                <td rowspan="1" colspan="1">4.865186</td>
                <td rowspan="1" colspan="1">4.200052</td>
                <td rowspan="1" colspan="1">8.857154</td>
                <td rowspan="1" colspan="1">-3.97E-16</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Median</td>
                <td rowspan="1" colspan="1">7.648875</td>
                <td rowspan="1" colspan="1">5.015817</td>
                <td rowspan="1" colspan="1">4.502029</td>
                <td rowspan="1" colspan="1">8.980691</td>
                <td rowspan="1" colspan="1">0.545491</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Maximum</td>
                <td rowspan="1" colspan="1">7.857765</td>
                <td rowspan="1" colspan="1">6.472026</td>
                <td rowspan="1" colspan="1">6.048221</td>
                <td rowspan="1" colspan="1">10.62749</td>
                <td rowspan="1" colspan="1">1.839556</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Minimum</td>
                <td rowspan="1" colspan="1">7.237397</td>
                <td rowspan="1" colspan="1">2.442012</td>
                <td rowspan="1" colspan="1">1.106484</td>
                <td rowspan="1" colspan="1">7.309715</td>
                <td rowspan="1" colspan="1">-3.285202</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Std. Dev.</td>
                <td rowspan="1" colspan="1">0.226850</td>
                <td rowspan="1" colspan="1">1.187930</td>
                <td rowspan="1" colspan="1">1.439922</td>
                <td rowspan="1" colspan="1">0.942031</td>
                <td rowspan="1" colspan="1">1.671284</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Skewness</td>
                <td rowspan="1" colspan="1">-0.447353</td>
                <td rowspan="1" colspan="1">-0.583831</td>
                <td rowspan="1" colspan="1">-0.740132</td>
                <td rowspan="1" colspan="1">0.009661</td>
                <td rowspan="1" colspan="1">-1.000918</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Kurtosis</td>
                <td rowspan="1" colspan="1">1.643725</td>
                <td rowspan="1" colspan="1">2.368199</td>
                <td rowspan="1" colspan="1">2.581684</td>
                <td rowspan="1" colspan="1">2.125792</td>
                <td rowspan="1" colspan="1">2.556900</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Jarque-Bera</td>
                <td rowspan="1" colspan="1">2.749982</td>
                <td rowspan="1" colspan="1">1.836049</td>
                <td rowspan="1" colspan="1">2.464759</td>
                <td rowspan="1" colspan="1">0.796471</td>
                <td rowspan="1" colspan="1">4.378843</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Probability</td>
                <td rowspan="1" colspan="1">0.252842</td>
                <td rowspan="1" colspan="1">0.399307</td>
                <td rowspan="1" colspan="1">0.291598</td>
                <td rowspan="1" colspan="1">0.671504</td>
                <td rowspan="1" colspan="1">0.111982</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Sum</td>
                <td rowspan="1" colspan="1">189.8062</td>
                <td rowspan="1" colspan="1">121.6297</td>
                <td rowspan="1" colspan="1">105.0013</td>
                <td rowspan="1" colspan="1">221.4288</td>
                <td rowspan="1" colspan="1">-1.31E-14</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Sum Sq. Dev.</td>
                <td rowspan="1" colspan="1">1.235063</td>
                <td rowspan="1" colspan="1">33.86824</td>
                <td rowspan="1" colspan="1">49.76100</td>
                <td rowspan="1" colspan="1">21.29813</td>
                <td rowspan="1" colspan="1">67.03658</td>
              </tr>
            </tbody>
          </table>
          <table-wrap-foot>
            <fn>
              <p><italic>Source</italic>: Authors’ computation using EVIEWS 12.</p>
            </fn>
          </table-wrap-foot>
        </table-wrap>
      </sec>
      <sec sec-type="3.3. Tests for Structural Breaks" id="sec11">
        <title>3.3. Tests for Structural Breaks</title>
        <p>The Bai-Perron test was used to check for structural breaks in the variables. As can be seen in Table <xref ref-type="table" rid="T3">3</xref>, there is confirmation of a structural break in 2011. This break was corrected using the Chow Breakpoint test (see Table <xref ref-type="table" rid="T4">4</xref>), which indicates correction for structural breaks at a highly significant level (0.0000).</p>
        <table-wrap id="T2" position="float" orientation="portrait">
          <label>Table 2.</label>
          <caption>
            <p>Results of time series testing for stationarity<bold/></p>
          </caption>
          <table>
            <tbody>
              <tr>
                <td rowspan="1" colspan="5">
                  <bold>Stationarity at Level</bold>
                </td>
                <td rowspan="1" colspan="5">
                  <bold>Stationarity at First Difference</bold>
                </td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1">
                  <bold>
                    <abbrev xlink:title="augmented Dickey–Fuller">ADF</abbrev>
                  </bold>
                </td>
                <td rowspan="1" colspan="1">
                  <bold>1%</bold>
                </td>
                <td rowspan="1" colspan="1">
                  <bold>5%</bold>
                </td>
                <td rowspan="1" colspan="1">
                  <bold>10%</bold>
                </td>
                <td rowspan="1" colspan="1">
                  <bold>
                    <abbrev xlink:title="augmented Dickey–Fuller">ADF</abbrev>
                  </bold>
                </td>
                <td rowspan="1" colspan="1">
                  <bold>1%</bold>
                </td>
                <td rowspan="1" colspan="1">
                  <bold>5%</bold>
                </td>
                <td rowspan="1" colspan="1">
                  <bold>10%</bold>
                </td>
                <td rowspan="1" colspan="1"><bold>Inf</bold>.</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <bold>lnRGDP</bold>
                </td>
                <td rowspan="1" colspan="1">-1.531</td>
                <td rowspan="1" colspan="1">-4.205</td>
                <td rowspan="1" colspan="1">-3.527</td>
                <td rowspan="1" colspan="1">-3.195</td>
                <td rowspan="1" colspan="1">-4.076***</td>
                <td rowspan="1" colspan="1">-4.199</td>
                <td rowspan="1" colspan="1">-3.524</td>
                <td rowspan="1" colspan="1">-3.193</td>
                <td rowspan="1" colspan="1">I (1)</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <bold>lnGEXE</bold>
                </td>
                <td rowspan="1" colspan="1">-2.781</td>
                <td rowspan="1" colspan="1">-4.192</td>
                <td rowspan="1" colspan="1">-3.521</td>
                <td rowspan="1" colspan="1">-3.191</td>
                <td rowspan="1" colspan="1">-6.255***</td>
                <td rowspan="1" colspan="1">-4.219</td>
                <td rowspan="1" colspan="1">-3.533</td>
                <td rowspan="1" colspan="1">-3.198</td>
                <td rowspan="1" colspan="1">I (1)</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <bold>lnGEXH</bold>
                </td>
                <td rowspan="1" colspan="1">0.137</td>
                <td rowspan="1" colspan="1">-4.219</td>
                <td rowspan="1" colspan="1">-3.533</td>
                <td rowspan="1" colspan="1">-3.198</td>
                <td rowspan="1" colspan="1">-5.789***</td>
                <td rowspan="1" colspan="1">-4.219</td>
                <td rowspan="1" colspan="1">-3.533</td>
                <td rowspan="1" colspan="1">-3.198</td>
                <td rowspan="1" colspan="1">I (1)</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <bold>
                    <abbrev xlink:title="Institutional quality">INSQ</abbrev>
                  </bold>
                </td>
                <td rowspan="1" colspan="1">0.134</td>
                <td rowspan="1" colspan="1">-4.129</td>
                <td rowspan="1" colspan="1">-3.523</td>
                <td rowspan="1" colspan="1">-3.177</td>
                <td rowspan="1" colspan="1">-5.735***</td>
                <td rowspan="1" colspan="1">-4.219</td>
                <td rowspan="1" colspan="1">-3.533</td>
                <td rowspan="1" colspan="1">-3.198</td>
                <td rowspan="1" colspan="1">I (1)</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <bold>lnGCF</bold>
                </td>
                <td rowspan="1" colspan="1">0.713</td>
                <td rowspan="1" colspan="1">-3.597</td>
                <td rowspan="1" colspan="1">-2.933</td>
                <td rowspan="1" colspan="1">-2.604</td>
                <td rowspan="1" colspan="1">-4.267***</td>
                <td rowspan="1" colspan="1">-3.600</td>
                <td rowspan="1" colspan="1">-2.935</td>
                <td rowspan="1" colspan="1">-2.606</td>
                <td rowspan="1" colspan="1">I (1)</td>
              </tr>
            </tbody>
          </table>
          <table-wrap-foot>
            <fn>
              <p><italic>Note</italic>. *** Indicates significance at 1%. <italic>Source</italic>: Authors’ computation using EVIEWS 12.</p>
            </fn>
          </table-wrap-foot>
        </table-wrap>
        <table-wrap id="T3" position="float" orientation="portrait">
          <label>Table 3.</label>
          <caption>
            <p>Bai-Perron tests<bold/></p>
          </caption>
          <table>
            <tbody>
              <tr>
                <td rowspan="1" colspan="3"><bold>Sequential F-statistic determined breaks</bold>:</td>
                <td rowspan="1" colspan="1">
                  <bold>2</bold>
                </td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1">Scaled</td>
                <td rowspan="1" colspan="1">Critical</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Break Test</td>
                <td rowspan="1" colspan="1">F-statistic</td>
                <td rowspan="1" colspan="1">F-statistic</td>
                <td rowspan="1" colspan="1">Value**</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">0 vs. 1 *</td>
                <td rowspan="1" colspan="1">256.8167</td>
                <td rowspan="1" colspan="1">256.8167</td>
                <td rowspan="1" colspan="1">8.58</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">1 vs. 2 *</td>
                <td rowspan="1" colspan="1">20.71003</td>
                <td rowspan="1" colspan="1">20.71003</td>
                <td rowspan="1" colspan="1">10.13</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">2 vs. 3</td>
                <td rowspan="1" colspan="1">3.027293</td>
                <td rowspan="1" colspan="1">3.027293</td>
                <td rowspan="1" colspan="1">11.14</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="4">* Significant at the 0.05 level.</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="4"><bold>Break dates</bold>:</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1">Sequential</td>
                <td rowspan="1" colspan="2">Repartition</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">1</td>
                <td rowspan="1" colspan="1">2005</td>
                <td rowspan="1" colspan="2">2004</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">2</td>
                <td rowspan="1" colspan="1">2011</td>
                <td rowspan="1" colspan="2">2011</td>
              </tr>
            </tbody>
          </table>
          <table-wrap-foot>
            <fn>
              <p><italic>Source</italic>: Authors’ computation using EVIEWS 12.</p>
            </fn>
          </table-wrap-foot>
        </table-wrap>
        <table-wrap id="T4" position="float" orientation="portrait">
          <label>Table 4.</label>
          <caption>
            <p>Chow Breakpoint Test<bold/></p>
          </caption>
          <table>
            <tbody>
              <tr>
                <td rowspan="1" colspan="1">F-statistic</td>
                <td rowspan="1" colspan="1">92.81417</td>
                <td rowspan="1" colspan="1">Prob. F(1,41)</td>
                <td rowspan="1" colspan="1">0.0000</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Log likelihood ratio</td>
                <td rowspan="1" colspan="1">50.86384</td>
                <td rowspan="1" colspan="1">Prob. Chi-Square(1)</td>
                <td rowspan="1" colspan="1">0.0000</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Wald Statistic</td>
                <td rowspan="1" colspan="1">92.81417</td>
                <td rowspan="1" colspan="1">Prob. Chi-Square(1)</td>
                <td rowspan="1" colspan="1">0.0000</td>
              </tr>
            </tbody>
          </table>
          <table-wrap-foot>
            <fn>
              <p><italic>Source</italic>: Authors’ computation using EVIEWS 12.</p>
            </fn>
          </table-wrap-foot>
        </table-wrap>
      </sec>
      <sec sec-type="3.4. Lag Order Selection" id="sec12">
        <title>3.4. Lag Order Selection</title>
        <p>When working with the autoregressive distributed lag (<abbrev xlink:title="Autoregressive Distributed Lag">ARDL</abbrev>) model, it is important to choose the correct lag. This helps to eliminate serial correlation in the residuals, which can lead to biased results. In this study, lag 3 was selected as the appropriate lag for the model based on the minimization of the Akaike information criterion, the Schwarz information criterion and the Hannan-Quinn information criterion.</p>
      </sec>
      <sec sec-type="3.5. Autoregressive Distributed Lag Bounds Test for Cointegration" id="sec13">
        <title>3.5. Autoregressive Distributed Lag Bounds Test for Cointegration</title>
        <p>The bounds test is a vital tool for evaluating cointegration among variables in time series analysis. According to the results presented in Table <xref ref-type="table" rid="T6">6</xref>, the calculated F-statistic is 32.31739. This value is higher than the upper critical bound corresponding to a 5% significance level. In other words, there is less than a 5% probability that this result occurred by chance in the absence of a long-run relationship between the variables. Therefore, we reject the null hypothesis of no cointegration and conclude that a statistically significant long-run equilibrium relationship exists between the variables.</p>
        <table-wrap id="T5" position="float" orientation="portrait">
          <label>Table 5.</label>
          <caption>
            <p>VAR Lag Order Selection Criteria</p>
          </caption>
          <table>
            <tbody>
              <tr>
                <td rowspan="1" colspan="1">
                  <bold>Lag</bold>
                </td>
                <td rowspan="1" colspan="1">
                  <bold>LogL</bold>
                </td>
                <td rowspan="1" colspan="1">
                  <bold>LR</bold>
                </td>
                <td rowspan="1" colspan="1">
                  <bold>FPE</bold>
                </td>
                <td rowspan="1" colspan="1">
                  <bold>AIC</bold>
                </td>
                <td rowspan="1" colspan="1">
                  <bold>SC</bold>
                </td>
                <td rowspan="1" colspan="1">
                  <bold>HQ</bold>
                </td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">0</td>
                <td rowspan="1" colspan="1">-14.70995</td>
                <td rowspan="1" colspan="1">NA</td>
                <td rowspan="1" colspan="1">4.13e-06</td>
                <td rowspan="1" colspan="1">1.791813</td>
                <td rowspan="1" colspan="1">2.039777</td>
                <td rowspan="1" colspan="1">1.850226</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">1</td>
                <td rowspan="1" colspan="1">73.00876</td>
                <td rowspan="1" colspan="1">127.5908</td>
                <td rowspan="1" colspan="1">1.48e-08</td>
                <td rowspan="1" colspan="1">-3.909887</td>
                <td rowspan="1" colspan="1">-2.422102</td>
                <td rowspan="1" colspan="1">-3.559409</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">2</td>
                <td rowspan="1" colspan="1">117.8814</td>
                <td rowspan="1" colspan="1">44.87265*</td>
                <td rowspan="1" colspan="1">3.71e-09</td>
                <td rowspan="1" colspan="1">-5.716491</td>
                <td rowspan="1" colspan="1">-2.988885</td>
                <td rowspan="1" colspan="1">-5.073949</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">3</td>
                <td rowspan="1" colspan="1">183.1969</td>
                <td rowspan="1" colspan="1">35.62665</td>
                <td rowspan="1" colspan="1">4.10e-10*</td>
                <td rowspan="1" colspan="1">-9.381539*</td>
                <td rowspan="1" colspan="1">-5.414112*</td>
                <td rowspan="1" colspan="1">-8.446932*</td>
              </tr>
            </tbody>
          </table>
          <table-wrap-foot>
            <fn>
              <p><italic>Note</italic>. * indicates lag order selected by the criterion. <italic>LR</italic>: sequential modified Likelihood Ratio test statistic (each test at 5% level). <italic>FPE</italic>: Final prediction error. <italic>AIC</italic>: Akaike information criterion. <italic>SC</italic>: Schwarz information criterion. <italic>HQ</italic>: Hannan-Quinn information criterion. <italic>Source</italic>: Authors’ computation using EVIEWS 12.</p>
            </fn>
          </table-wrap-foot>
        </table-wrap>
        <table-wrap id="T6" position="float" orientation="portrait">
          <label>Table 6.</label>
          <caption>
            <p>Bounds Test for Cointegration<bold/></p>
          </caption>
          <table>
            <tbody>
              <tr>
                <td rowspan="2" colspan="1">
                  <bold>F-Statistic</bold>
                </td>
                <td rowspan="2" colspan="1">
                  <bold>Significance Level</bold>
                </td>
                <td rowspan="1" colspan="2">
                  <bold>Critical Bound Value</bold>
                </td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <bold>I(0) Bound</bold>
                </td>
                <td rowspan="1" colspan="1">
                  <bold>I(1) Bound</bold>
                </td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">32.31739</td>
                <td rowspan="1" colspan="1">1</td>
                <td rowspan="1" colspan="1">3.74</td>
                <td rowspan="1" colspan="1">5.06</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1">2.5</td>
                <td rowspan="1" colspan="1">3.25</td>
                <td rowspan="1" colspan="1">4.49</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1">5</td>
                <td rowspan="1" colspan="1">2.86</td>
                <td rowspan="1" colspan="1">4.01</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1">10</td>
                <td rowspan="1" colspan="1">2.45</td>
                <td rowspan="1" colspan="1">3.52</td>
              </tr>
            </tbody>
          </table>
          <table-wrap-foot>
            <fn>
              <p><italic>Source</italic>: Authors’ computation using EVIEWS 12.</p>
            </fn>
          </table-wrap-foot>
        </table-wrap>
      </sec>
      <sec sec-type="3.6. Dynamic Autoregressive Distributed Lag Result" id="sec14">
        <title>3.6. Dynamic Autoregressive Distributed Lag Result</title>
        <p>The results in Table <xref ref-type="table" rid="T7">7</xref> provide strong evidence of a stable long-run relationship between economic growth and government spending on education and health care in Nigeria. This is confirmed by the error correction term, which is negative and highly significant (-0.565; p = 0.005). The magnitude of the coefficient implies that approximately 56.5% of short-run deviations are corrected within one period, indicating rapid speed of adjustment. This suggests that although short-term shocks affect output, growth dynamics are anchored by long-term human development and institutional factors.</p>
        <table-wrap id="T7" position="float" orientation="portrait">
          <label>Table 7.</label>
          <caption>
            <p>Dynamic Autoregressive Distributed Lag Model</p>
          </caption>
          <table>
            <tbody>
              <tr>
                <td rowspan="1" colspan="1">
                  <bold>Variable</bold>
                </td>
                <td rowspan="1" colspan="1">
                  <bold>Coefficient</bold>
                </td>
                <td rowspan="1" colspan="1">
                  <bold>Std. error</bold>
                </td>
                <td rowspan="1" colspan="1">
                  <bold>t-value</bold>
                </td>
                <td rowspan="1" colspan="1">
                  <bold>P&gt;t</bold>
                </td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Cons</td>
                <td rowspan="1" colspan="1">0.7728781</td>
                <td rowspan="1" colspan="1">0.6864253</td>
                <td rowspan="1" colspan="1">1.13</td>
                <td rowspan="1" colspan="1">0.293</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">L<sub>1</sub>lnRGDP</td>
                <td rowspan="1" colspan="1">-0.0692569</td>
                <td rowspan="1" colspan="1">0.0950992</td>
                <td rowspan="1" colspan="1">-0.73</td>
                <td rowspan="1" colspan="1">0.487</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">L<sub>1</sub>lnGEXH</td>
                <td rowspan="1" colspan="1">0.0764263**</td>
                <td rowspan="1" colspan="1">0.0265281</td>
                <td rowspan="1" colspan="1">2.88</td>
                <td rowspan="1" colspan="1">0.020</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">L<sub>2</sub>lnGEXH</td>
                <td rowspan="1" colspan="1">-0.0030686</td>
                <td rowspan="1" colspan="1">0.0270358</td>
                <td rowspan="1" colspan="1">-0.11</td>
                <td rowspan="1" colspan="1">0.912</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">L<sub>3</sub>lnGEXH</td>
                <td rowspan="1" colspan="1">0.0408415</td>
                <td rowspan="1" colspan="1">0.0257646</td>
                <td rowspan="1" colspan="1">1.59</td>
                <td rowspan="1" colspan="1">0.152</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">∆lnGCF</td>
                <td rowspan="1" colspan="1">-0.0144163</td>
                <td rowspan="1" colspan="1">0.0333629</td>
                <td rowspan="1" colspan="1">-0.43</td>
                <td rowspan="1" colspan="1">0.677</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">∆<abbrev xlink:title="Institutional quality">INSQ</abbrev></td>
                <td rowspan="1" colspan="1">0.0083019</td>
                <td rowspan="1" colspan="1">0.0057543</td>
                <td rowspan="1" colspan="1">1.44</td>
                <td rowspan="1" colspan="1">0.187</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">∆lnGEXE_INSQ</td>
                <td rowspan="1" colspan="1">0.0327817</td>
                <td rowspan="1" colspan="1">0.0453309</td>
                <td rowspan="1" colspan="1">0.72</td>
                <td rowspan="1" colspan="1">0.490</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">∆lnGEXH_INSQ</td>
                <td rowspan="1" colspan="1">-0.0382884</td>
                <td rowspan="1" colspan="1">0.0486114</td>
                <td rowspan="1" colspan="1">-0.79</td>
                <td rowspan="1" colspan="1">0.454</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">L<sub>1</sub>lnGEXE</td>
                <td rowspan="1" colspan="1">-0.0652548</td>
                <td rowspan="1" colspan="1">0.0321681</td>
                <td rowspan="1" colspan="1">-2.03</td>
                <td rowspan="1" colspan="1">0.077</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">L<sub>2</sub>lnGEXE</td>
                <td rowspan="1" colspan="1">0.0226635**</td>
                <td rowspan="1" colspan="1">0.0289036</td>
                <td rowspan="1" colspan="1">0.78</td>
                <td rowspan="1" colspan="1">0.016</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">L<sub>3</sub>lnGEXE</td>
                <td rowspan="1" colspan="1">-0.0438169</td>
                <td rowspan="1" colspan="1">0.0224715</td>
                <td rowspan="1" colspan="1">-1.95</td>
                <td rowspan="1" colspan="1">0.087</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">L<sub>1</sub>lnGCF</td>
                <td rowspan="1" colspan="1">-0.0296984</td>
                <td rowspan="1" colspan="1">0.0187525</td>
                <td rowspan="1" colspan="1">-1.58</td>
                <td rowspan="1" colspan="1">0.152</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">L<sub>1</sub><abbrev xlink:title="Institutional quality">INSQ</abbrev></td>
                <td rowspan="1" colspan="1">-0.0077867**</td>
                <td rowspan="1" colspan="1">0.0065366</td>
                <td rowspan="1" colspan="1">-1.19</td>
                <td rowspan="1" colspan="1">0.038</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">L<sub>1</sub>lnGEXE_INSQ</td>
                <td rowspan="1" colspan="1">0.1707715**</td>
                <td rowspan="1" colspan="1">0.0581976</td>
                <td rowspan="1" colspan="1">2.93</td>
                <td rowspan="1" colspan="1">0.019</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">L<sub>1</sub>lnGEXH_INSQ</td>
                <td rowspan="1" colspan="1">-0.1938134**</td>
                <td rowspan="1" colspan="1">0.0638503</td>
                <td rowspan="1" colspan="1">-3.04</td>
                <td rowspan="1" colspan="1">0.016</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">CointEq(-1)*</td>
                <td rowspan="1" colspan="1">-0.565347</td>
                <td rowspan="1" colspan="1">0.033658</td>
                <td rowspan="1" colspan="1">-16.79703</td>
                <td rowspan="1" colspan="1">0.0005</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">R-squared</td>
                <td rowspan="1" colspan="1">0.9367</td>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1"/>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Adjusted R-squared</td>
                <td rowspan="1" colspan="1">0.8180</td>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1"/>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Prob &gt; F</td>
                <td rowspan="1" colspan="1">0.0030***</td>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1"/>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Simulations</td>
                <td rowspan="1" colspan="1">5000</td>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1"/>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Root MSE</td>
                <td rowspan="1" colspan="1">.01457</td>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1"/>
              </tr>
            </tbody>
          </table>
          <table-wrap-foot>
            <fn>
              <p><italic>Source</italic>: authors’ computation using Stata 17.</p>
            </fn>
          </table-wrap-foot>
        </table-wrap>
        <p>In the long run, government expenditure on health (<abbrev xlink:title="Government expenditure on health">GEXH</abbrev>) exerts a statistically significant positive effect on economic growth. The first lag of health expenditure (<abbrev xlink:title="first lag of health expenditure">L1lnGEXH</abbrev>) is positive and significant (0.0764263; p = 0.020), indicating that a 1% increase in health spending raises real GDP by about 0.08% in the subsequent period. This supports the view that health expenditure enhances labour productivity and economic performance in the long run. This finding is consistent with that of <xref ref-type="bibr" rid="B7">Atilgan et. al. (2024)</xref>, <xref ref-type="bibr" rid="B21">Hu and Wang (2024)</xref>, <xref ref-type="bibr" rid="B19">Ginn (2025)</xref>, and <xref ref-type="bibr" rid="B30">Ridhwan et al. (2022)</xref>. However, the interaction term between health expenditure and institutional quality is negative and significant (-0.1938134; p = 0.016). This suggests that, during periods of unfavourable institutional conditions or structural stress, health spending reduces growth. This implies that inefficiencies or fiscal pressures can offset productivity gains of health expenditure under unfavourable institutional conditions. This is in line with the findings of <xref ref-type="bibr" rid="B18">Faruk et al. (2022)</xref>, <xref ref-type="bibr" rid="B16">Dritsaki et al. (2025)</xref>, Boundioa and Thiombiano (2025), as well as <xref ref-type="bibr" rid="B6">Alghannam and Alharbi (2026)</xref>.</p>
        <p>The impact of government education expenditure (<abbrev xlink:title="Government expenditure on education">GEXE</abbrev>) on growth is both dynamic and conditional. While the immediate effect is negative, the second lag of education expenditure (<abbrev xlink:title="second lag of education expenditure">L2lnGEXE</abbrev>) is positive and statistically significant (0.0226635; p = 0.016). This indicates that education spending contributes to growth only after a time lag, consistent with delayed returns associated with human capital accumulation. This is supported by the findings of <xref ref-type="bibr" rid="B12">Contreras et al. (2025)</xref> and <xref ref-type="bibr" rid="B37">Sorto-Bueso et al. (2026)</xref>. Furthermore, the interaction term between education expenditure and institutional quality is positive and significant (0.1707715, p = 0.019), indicating that education spending becomes more growth enhancing when implemented under supportive policy or institutional regimes. This highlights the importance of complementary governance structures in translating education expenditure into economic growth. The result is consistent with that of <xref ref-type="bibr" rid="B3">Abu-Alfoul et al. (2024)</xref>, and <xref ref-type="bibr" rid="B26">Liko (2024)</xref>.</p>
        <p>Institutional quality (<abbrev xlink:title="Institutional quality">INSQ</abbrev>) also plays a significant role in shaping growth outcomes. The lagged institutional quality variable (<abbrev xlink:title="lagged institutional quality variable">L1lnINSQ</abbrev>) is negative and significant (-0.0077867; p = 0.038), indicating that weaknesses in institutional frameworks in the previous period reduce current economic growth. The result suggests that institutional weaknesses have persistent adverse effects, undermining the effectiveness of public spending and slowing the growth process. The study by <xref ref-type="bibr" rid="B25">Karabou (2024)</xref> supports this finding.</p>
        <p>Figure <xref ref-type="fig" rid="F1">1</xref> shows the impulse response graph of the dynamic <abbrev xlink:title="Autoregressive Distributed Lag">ARDL</abbrev> model, indicating the response of economic growth to positive and negative 10% shocks in government health expenditure over time. In the short-run, between periods 1 to 10, the response is relatively weak and nearly flat, suggesting limited immediate transmission effects. The result indicates that a 10% increase in government expenditure on health will cause economic growth in the long run. Conversely, a 10% decrease in government expenditure on health will lead to a decline in economic growth in Nigeria over time.</p>
        <fig id="F1">
          <object-id content-type="doi">10.3897/brics-econ.7.e162074.figure1</object-id>
          <object-id content-type="arpha">AC071CA8-D26C-501A-B217-01E1B2666F87</object-id>
          <label>Figure 1.</label>
          <caption>
            <p>The impact of changes in government health expenditure on economic growth in Nigeria, %. <italic>Note</italic>: The dark blue to light blue lines in Figures <xref ref-type="fig" rid="F1">1</xref>, <xref ref-type="fig" rid="F2">2</xref>, <xref ref-type="fig" rid="F3">3</xref> represent 75%, 90%, and 95% confidence intervals, respectively, the dots represent the average prediction value. <italic>Source</italic>: authors’ computation using Stata 17.</p>
          </caption>
          <graphic xlink:href="brics-econ-07-081-g001.jpg" id="oo_1705164.jpg">
            <uri content-type="original_file">https://binary.pensoft.net/fig/1705164</uri>
          </graphic>
        </fig>
        <p>Figure <xref ref-type="fig" rid="F2">2</xref> shows the dynamic <abbrev xlink:title="Autoregressive Distributed Lag">ARDL</abbrev>’s impulse response graph, illustrating the time path of economic growth following a 10% shock to government expenditure on education over a 30-period horizon. According to the findings, a ten percent increase in government spending on education will eventually boost economic growth. However, over time, Nigeria’s economic growth will slow if government spending on education is cut by 10%.</p>
        <fig id="F2">
          <object-id content-type="doi">10.3897/brics-econ.7.e162074.figure2</object-id>
          <object-id content-type="arpha">69BA0ABE-62CB-56D7-A90C-DE7A323D9958</object-id>
          <label>Figure 2.</label>
          <caption>
            <p>The impact of change in government expenditure on education on economic growth in Nigeria, %.</p>
          </caption>
          <graphic xlink:href="brics-econ-07-081-g002.jpg" id="oo_1705165.jpg">
            <uri content-type="original_file">https://binary.pensoft.net/fig/1705165</uri>
          </graphic>
        </fig>
        <p>Figure <xref ref-type="fig" rid="F3">3</xref> presents the impulse response function obtained from the dynamic <abbrev xlink:title="Autoregressive Distributed Lag">ARDL</abbrev> model, indicating how economic growth responds to positive and negative shocks in institutional quality. The results indicate that a one percent increase in institutional quality enhances governance effectiveness, strengthens accountability and reduces resource misallocation, thereby promoting the efficient use of public funds and stimulating economic expansion. However, if institutional quality drops by 10% over time, Nigeria’s economic growth will decelerate.</p>
        <fig id="F3">
          <object-id content-type="doi">10.3897/brics-econ.7.e162074.figure3</object-id>
          <object-id content-type="arpha">0CCD96C2-67A8-55FC-A89D-0303C38CE80C</object-id>
          <label>Figure 3.</label>
          <caption>
            <p>The impact of change in institutional quality on economic growth in Nigeria, %</p>
          </caption>
          <graphic xlink:href="brics-econ-07-081-g003.jpg" id="oo_1705166.jpg">
            <uri content-type="original_file">https://binary.pensoft.net/fig/1705166</uri>
          </graphic>
        </fig>
      </sec>
      <sec sec-type="3.7. Diagnostic Tests" id="sec15">
        <title>3.7. Diagnostic Tests</title>
        <p>Table <xref ref-type="table" rid="T8">8</xref> reports diagnostic tests performed to confirm stability and reliability of the model used.</p>
        <table-wrap id="T8" position="float" orientation="portrait">
          <label>Table 8.</label>
          <caption>
            <p>Statistical Diagnostic Tests<bold/></p>
          </caption>
          <table>
            <tbody>
              <tr>
                <td rowspan="1" colspan="1">
                  <bold>Diagnostic tests</bold>
                </td>
                <td rowspan="1" colspan="1">
                  <bold>Null hypotheses</bold>
                </td>
                <td rowspan="1" colspan="1">
                  <bold>X<sup>2</sup> (p Values)</bold>
                </td>
                <td rowspan="1" colspan="1">
                  <bold>Remarks</bold>
                </td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Breusch-Godfrey LM test</td>
                <td rowspan="1" colspan="1">The residuals exhibit serial correlation</td>
                <td rowspan="1" colspan="1">0.2797</td>
                <td rowspan="1" colspan="1">No Serial Correlation</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Breusch-Pagan-Godfrey test</td>
                <td rowspan="1" colspan="1">The model exhibits heteroscedasticity</td>
                <td rowspan="1" colspan="1">0.2577</td>
                <td rowspan="1" colspan="1">No Heteroscedasticity</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Ramsey RESET test</td>
                <td rowspan="1" colspan="1">The model exhibit specification error</td>
                <td rowspan="1" colspan="1">0.1113</td>
                <td rowspan="1" colspan="1">No Specification Error</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Jarque-Bera Normality Test</td>
                <td rowspan="1" colspan="1">The data is not normally distributed</td>
                <td rowspan="1" colspan="1">0.4166</td>
                <td rowspan="1" colspan="1">Normally Distributed</td>
              </tr>
            </tbody>
          </table>
          <table-wrap-foot>
            <fn>
              <p><italic>Source</italic>: Authors’ computation using EVIEWS 12</p>
            </fn>
          </table-wrap-foot>
        </table-wrap>
      </sec>
      <sec sec-type="3.7. CUSUM and CUSUMSQ Stability Tests" id="sec16">
        <title>3.7. CUSUM and CUSUMSQ Stability Tests</title>
        <p>Figure <xref ref-type="fig" rid="F4">4</xref> shows that the CUSUM statistic remains within the 5% critical bounds throughout the estimation period. Despite minor fluctuations, the plot does not cross the significance thresholds. This suggests the absence of systematic parameter drift and confirms the stability of estimated coefficients. Similarly, the CUSUMSQ test remains within the 5% critical region. This conformity within the bounds indicates no evidence of heteroskedastic instability. Overall, the tests confirm the dynamic stability of the dynamic <abbrev xlink:title="Autoregressive Distributed Lag">ARDL</abbrev> specification.</p>
        <fig id="F4">
          <object-id content-type="doi">10.3897/brics-econ.7.e162074.figure4</object-id>
          <object-id content-type="arpha">ED5E2166-6E3E-5BD3-8B36-B407C6F31C7D</object-id>
          <label>Figure 4.</label>
          <caption>
            <p>CUSUM and CUSUMSQ tests. Source: Authors’ computation using EVIEWS 12</p>
          </caption>
          <graphic xlink:href="brics-econ-07-081-g004.jpg" id="oo_1705167.jpg">
            <uri content-type="original_file">https://binary.pensoft.net/fig/1705167</uri>
          </graphic>
        </fig>
      </sec>
    </sec>
    <sec sec-type="Conclusion" id="sec17">
      <title>Conclusion</title>
      <p>The study investigated the dynamic relationship between public investment in human capital and economic growth in Nigeria over the period of 1981 to 2023 using Dynamic <abbrev xlink:title="Autoregressive Distributed Lag">ARDL</abbrev> framework. The results show that health expenditure has a significant effect on economic growth in the long run. However, the interaction between health expenditure and institutional quality is negative and significant, indicating that under weak or unstable institutional environments, the growth enhancing effect of health spending may be reversed. The immediate impact of education spending on growth is weak but it becomes more pronounced over time. Furthermore, the relationship between education spending and institutional quality indicates that supportive government policies can enhance the effect of educational investments on economic growth. The quality of institutions is shown to be a critical factor in itself, as weak institutions create permanent constraints on growth. The findings show that human capital is not merely an outcome but a productive driver of long-term growth, particularly when reinforced by effective institutions.</p>
      <p>The study’s findings have resulted in the following policy recommendations.</p>
      <p>Firstly, the government should increase and stabilize budgetary allocations to health and education within a credible medium-term expenditure framework. Beyond nominal increases, expenditure commitments should be protected from discriminatory reductions during the financial year. Predictable multi-year funding would enhance planning efficiency and reduce the volatility in human capital investment.</p>
      <p>Secondly, improvements in institutional quality are essential to maximize the growth returns of social sector spending. Strengthening public financial management systems, enforcing procurement regulations, expanding digital expenditure tracking and enhancing the independence of audit and anti-corruption agencies would help reduce leakages and improve allocative efficiency.</p>
      <p>Thirdly, institutional reforms should be integrated with human capital strategies. Enhancing the rule of law, regulatory stability and policy continuity across political cycles would strengthen investor confidence and ensure that gains from education and health investments are sustained over time.</p>
    </sec>
  </body>
  <back>
    <ref-list>
      <title>References</title>
      <ref id="B1">
        <mixed-citation>Abaneme, E. N., &amp; Aworinde, O. (2025). Effect of Government Education Expenditure on Inclusive Growth in Nigeria: The Role of Institutions. <italic>Asian Journal of Economics, Business and Accounting</italic>, <italic>25</italic>(1), 147-161. <ext-link xlink:href="10.9734/ajeba/2025/v25i11640" ext-link-type="doi">https://doi.org/10.9734/ajeba/2025/v25i11640</ext-link></mixed-citation>
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