Publication: The Measurement of Educational Inequality : Achievement and Opportunity
Loading...
Published
2011-11-01
ISSN
Date
2012-03-19
Author(s)
Gignoux, Jeremie
Editor(s)
Abstract
This paper proposes two related measures of educational inequality: one for educational achievement and another for educational opportunity. The former is the simple variance (or standard deviation) of test scores. Its selection is informed by consideration of two measurement issues that have typically been overlooked in the literature: the implications of the standardization of test scores for inequality indices, and the possible sample selection biases arising from the Program of International Student Assessment (PISA) sampling frame. The measure of inequality of educational opportunity is given by the share of the variance in test scores that is explained by pre-determined circumstances. Both measures are computed for the 57 countries in which PISA surveys were conducted in 2006. Inequality of opportunity accounts for up to 35 percent of all disparities in educational achievement. It is greater in (most of) continental Europe and Latin America than in Asia, Scandinavia, and North America. It is uncorrelated with average educational achievement and only weakly negatively correlated with per capita gross domestic product. It correlates negatively with the share of spending in primary schooling, and positively with tracking in secondary schools.
Link to Data Set
Citation
“Gignoux, Jeremie; Ferreira, Francisco H.G.. 2011. The Measurement of Educational Inequality : Achievement and Opportunity. Policy Research Working Paper ; no. 5873. © World Bank. http://hdl.handle.net/10986/3640 License: CC BY 3.0 IGO.”
Digital Object Identifier
Associated URLs
Associated content
Other publications in this report series
Publication The Economic Value of Weather Forecasts: A Quantitative Systematic Literature Review(Washington, DC: World Bank, 2025-09-10)This study systematically reviews the literature that quantifies the economic benefits of weather observations and forecasts in four weather-dependent economic sectors: agriculture, energy, transport, and disaster-risk management. The review covers 175 peer-reviewed journal articles and 15 policy reports. Findings show that the literature is concentrated in high-income countries and most studies use theoretical models, followed by observational and then experimental research designs. Forecast horizons studied, meteorological variables and services, and monetization techniques vary markedly by sector. Estimated benefits even within specific subsectors span several orders of magnitude and broad uncertainty ranges. An econometric meta-analysis suggests that theoretical studies and studies in richer countries tend to report significantly larger values. Barriers that hinder value realization are identified on both the provider and user sides, with inadequate relevance, weak dissemination, and limited ability to act recurring across sectors. Policy reports rely heavily on back-of-the-envelope or recursive benefit-transfer estimates, rather than on the methods and results of the peer-reviewed literature, revealing a science-to-policy gap. These findings suggest substantial socioeconomic potential of hydrometeorological services around the world, but also knowledge gaps that require more valuation studies focusing on low- and middle-income countries, addressing provider- and user-side barriers and employing rigorous empirical valuation methods to complement and validate theoretical models.Publication The Macroeconomic Implications of Climate Change Impacts and Adaptation Options(Washington, DC: World Bank, 2025-05-29)Estimating the macroeconomic implications of climate change impacts and adaptation options is a topic of intense research. This paper presents a framework in the World Bank's macrostructural model to assess climate-related damages. This approach has been used in many Country Climate and Development Reports, a World Bank diagnostic that identifies priorities to ensure continued development in spite of climate change and climate policy objectives. The methodology captures a set of impact channels through which climate change affects the economy by (1) connecting a set of biophysical models to the macroeconomic model and (2) exploring a set of development and climate scenarios. The paper summarizes the results for five countries, highlighting the sources and magnitudes of their vulnerability --- with estimated gross domestic product losses in 2050 exceeding 10 percent of gross domestic product in some countries and scenarios, although only a small set of impact channels is included. The paper also presents estimates of the macroeconomic gains from sector-level adaptation interventions, considering their upfront costs and avoided climate impacts and finding significant net gross domestic product gains from adaptation opportunities identified in the Country Climate and Development Reports. Finally, the paper discusses the limits of current modeling approaches, and their complementarity with empirical approaches based on historical data series. The integrated modeling approach proposed in this paper can inform policymakers as they make proactive decisions on climate change adaptation and resilience.Publication Labor Demand in the Age of Generative AI: Early Evidence from the U.S. Job Posting Data(Washington, DC: World Bank, 2025-11-18)This paper examines the causal impact of generative artificial intelligence on U.S. labor demand using online job posting data. Exploiting ChatGPT’s release in November 2022 as an exogenous shock, the paper applies difference-in-differences and event study designs to estimate the job displacement effects of generative artificial intelligence. The identification strategy compares labor demand for occupations with high versus low artificial intelligence substitution vulnerability following ChatGPT’s launch, conditioning on similar generative artificial intelligence exposure levels to isolate substitution effects from complementary uses. The analysis uses 285 million job postings collected by Lightcast from the first quarter of 2018 to the second quarter of 2025Q2. The findings show that the number of postings for occupations with above-median artificial intelligence substitution scores fell by an average of 12 percent relative to those with below-median scores. The effect increased from 6 percent in the first year after the launch to 18 percent by the third year. Losses were particularly acute for entry-level positions that require neither advanced degrees (18 percent) nor extensive experience (20 percent), as well as those in administrative support (40 percent) and professional services (30 percent). Although generative artificial intelligence generates new occupations and enhances productivity, which may increase labor demand, early evidence suggests that some occupations may be less likely to be complemented by generative artificial intelligence than others.Publication External Finance in Emerging Markets and Developing Economies: A Tale of Differences in Vulnerabilities(Washington, DC: World Bank, 2025-12-04)Over the past two decades, many emerging markets and developing economies have been viewed as increasingly resilient to external financial shocks. This paper assesses whether such resilience is broadly shared across emerging markets and developing economies by classifying them into three tiers based on economic size, income level, institutional strength, and financial integration. The analysis shows that first-tier emerging markets and developing economies have improved their external balance sheets and reduced dependence on official support. However, second- and third-tier emerging markets and developing economies have experienced growing external vulnerabilities since the global financial crisis, marked by rising external debt liabilities and declining foreign exchange reserves. Using a range of indicators, including sovereign defaults, arrears, partial defaults, and International Monetary Fund lending, the paper identifies episodes of external financial distress and shows that distress remains widespread among second- and third-tier emerging markets and developing economies. The empirical analysis confirms that key components of the net international investment position—especially external debt and foreign exchange reserves—predict the onset of external financial distress, with institutional quality shaping the impact. Weak institutions amplify risks, while strong institutions mitigate them. These findings highlight the importance of recognizing heterogeneity across emerging markets and developing economies, strengthening institutional quality alongside external balance-sheet management, and rebuilding buffers to safeguard against renewed global financial stress.Publication Rigging the Scores: Corruption through Scoring Rule Manipulation in Public Procurement Auctions(Washington, DC: World Bank, 2025-12-02)Public procurement is highly susceptible to corruption, especially in developing countries. Although open auctions are widely adopted to curb it, this paper finds that corruption remains prevalent even within this procurement format. Procurement officers can collaborate with firms to manipulate scoring rules, ensuring predetermined winners, while corrupt firms submit noncompetitive bids to meet minimum bidder requirements. Using extensive data from Chinese public procurement auctions, the paper introduces model-driven statistical tools to detect such corruption, identifying a corruption rate of 65 percent. A procurement expert audit survey confirms the tools’ reliability, with a 91 percent probability that experts recognize suspicious scoring rules when flagged. Firm-level analysis reveals that local, state-owned, and less productive firms are favored in corrupt auctions. Lastly, the paper explores policy implications. Analysis of the national anti-corruption campaign since 2012 suggests that general investigations may be insufficient to address deeply ingrained corrupt practices. Using counterfactuals based on an estimated structural model, the paper shows that implementing anonymous call-for-tender evaluations could improve social welfare by 10 percent by eliminating suspicious rules and encouraging broader participation.
Journal
Journal Volume
Journal Issue
Collections
Related items
Showing items related by metadata.
Publication Colombia - The Quality of Education in Colombia : An Analysis and Options for a Policy Agenda(Washington, DC, 2008-11-04)The main objective of this report is to analyze student learning in Colombia in order to foster policies to improve education quality that are grounded in research and the Colombian context. In 2006, Colombia participated for the first time in the Programme for International Student Assessment (PISA) of the Organization for Economic Cooperation and Development (OECD), which provides an important opportunity to benchmark the quality and equity of its education system globally and to inform its education policy. Using the PISA results, this report calls attention to the need for improved student learning in Colombia and provides new analytical work on the factors associated with learning in Colombia and other participant countries. Based on an assessment of the current state of the Colombian education system (chapter first), a review of the relevant literature (chapter second), an analysis of PISA (chapter third), and the report concludes with a set of policy options that may inform a future agenda for system design and reform (chapter fourth).Publication Private Education Provision and Public Finance : The Netherlands(World Bank, Washington, DC, 2010-01)One of the key features of the Dutch education system is freedom of education -- freedom to establish schools and organize teaching. Almost 70 percent of schools in the Netherlands are administered by private school boards, and all schools are government funded equally. This allows school choice. Using an instrument to identify school choice, it is shown that the Dutch system promotes academic performance. The instrumental variables results show that private school attendance is associated with higher test scores. Private school size effects in math, reading, and science achievement are 0.17, 0.28, and 0.18.Publication Egypt : Inequality of Opportunity in Education(World Bank Group, Washington, DC, 2014-08)The paper examines the levels and trends in access to education and educational outcomes across generations of Egyptian youth. Examination of three cohorts of individuals aged 21 to 24 (born between 1964 and 1967, 1974 and 1977, and 1982 and 1985) shows that access to education has substantially improved during the last three decades. Completion rates increased by more than 60 percent at the preparatory level and 70 percent at the secondary level and the college completion rate more than doubled. However, significant inequities remain in access to education and educational outcomes. The fraction of never enrolled among the cohorts is still large, affecting more girls than boys, more rural than urban areas, and more children of parents with lower level of education and in elementary occupations, such as subsistence agriculture. The analysis of test-scores from the Trends in International Mathematics and Science Study (TIMSS) and national examinations shows that more than a quarter of learning outcome inequality is attributable to circumstances beyond the control of a student, such as parental education, socioeconomic background and place of birth. In Egypt, inequality of opportunity in learning outcomes emerges early and builds up progressively throughout the education levels. Access to higher education continues to remain significantly lower for children from rural areas and for those whose parents have a low level of education or are engaged in elementary occupations. Tracking into vocational and general secondary schools, which depends on a high-stakes national examination, and high and unequal levels of household expenditures in private tutoring substantially contribute to unequal learning outcomes.Publication Quality of education in Colombia - Achievements and challenges ahead : analysis of the results of TIMSS 1995-2007(World Bank, 2010-08-06)The main objective of this report is to analyze the effect of time changes and factors associated with student achievement in Colombia in order to foster policies to improve education quality that are grounded in research and the Colombian context. In 2007, Colombia participated for the second time in the Trends in International Mathematics and Science Study (TIMSS), providing a first-time opportunity to analyze the effects of time changes on student achievement over a period (1995-2007) during which a number of education reforms were made. Using the TIMSS 2007 results offers a chance to deepen the study on the factors associated with learning in Colombia and to benchmark Colombia's education system against that of other countries. This effort began during the first phase of the Colombia Programmatic Quality and Relevance of Education Analytic and Advisory Activities (AAA), in which an analysis of Colombia's debut in the 2006 Program for International Student Assessment (PISA), resulted in publication of, 'the quality of education in Colombia: an analysis and options for a policy agenda' report (hereafter, 'PISA report'). The present report builds on this work through an analysis of Colombia's participation in TIMSS 2007 in relation to its performance on TIMSS 1995, and reaffirms the urgent need for improved student learning outcomes in Colombia, further confirming a number of the policy options put forward in the PISA report to inform a future agenda for system design and reform.Publication Quality of Schooling and Quality of Schools for Indigenous Students in Guatemala, Mexico and Peru(World Bank, Washington, DC, 2006-08)A substantial gap in test scores exists between indigenous and non-indigenous students in Latin America. Using test score data for 3rd and 4th year primary school pupils in Guatemala and Peru, and 5th grade pupils in Mexico, the authors assess the magnitude of the indigenous and non-indigenous test score gap and identify the main family and school inputs contributing to the gap. A decomposition of the gap into its constituent components suggests that the proportion that is explained by family and school characteristics is between 41 and 75 percent of the overall test-score gap. Furthermore, family variables contribute more than school variables to the overall explained component.
Users also downloaded
Showing related downloaded files
Publication Global Economic Prospects, June 2025(Washington, DC: World Bank, 2025-06-10)The global economy is facing another substantial headwind, emanating largely from an increase in trade tensions and heightened global policy uncertainty. For emerging market and developing economies (EMDEs), the ability to boost job creation and reduce extreme poverty has declined. Key downside risks include a further escalation of trade barriers and continued policy uncertainty. These challenges are exacerbated by subdued foreign direct investment into EMDEs. Global cooperation is needed to restore a more stable international trade environment and scale up support for vulnerable countries grappling with conflict, debt burdens, and climate change. Domestic policy action is also critical to contain inflation risks and strengthen fiscal resilience. To accelerate job creation and long-term growth, structural reforms must focus on raising institutional quality, attracting private investment, and strengthening human capital and labor markets. Countries in fragile and conflict situations face daunting development challenges that will require tailored domestic policy reforms and well-coordinated multilateral support.Publication The Container Port Performance Index 2020 to 2024: Trends and Lessons Learned(Washington, DC: World Bank, 2025-09-22)The Container Port Performance Index (CPPI) provides a global benchmark of how container ports perform in handling vessel calls. Developed jointly by the World Bank and S&P Global Market Intelligence, it measures the time ships spend in port and relates this to the number of containers moved during that time. This approach makes the CPPI a unique diagnostic tool that can highlight patterns in port operations and shed light on global and regional supply chain dynamics. Now in its fifth edition, the CPPI report covers the period from 2020 to 2024. It builds on a well-established methodology to generate scores for more than 400 container ports worldwide. Over time, the CPPI has become a trusted reference point for policymakers, industry stakeholders, and researchers who seek to understand how ports adapt to shocks, recover from disruptions, and identify opportunities for investments, reform and modernization. A major innovation in this edition is the introduction of multi-year trend analysis. Rather than presenting annual snapshots, the report now tracks how CPPI scores have changed across five years. This longitudinal perspective reveals shifts in port performance, showing where scores have risen, fallen, or remained stable. By linking these movements to external factors, the CPPI offers insights into how global and regional supply chains evolve under pressure. The results clearly mirror the crises that have shaken global trade. During the COVID-19 pandemic, CPPI scores in different regions declined sharply as congestion, equipment shortages, and delays overwhelmed many ports. By 2023, global averages rebounded in parallel with easing freight markets and reduced congestion. Yet 2024 brought new challenges: the Red Sea crisis disrupted major trade lanes, while climate-related constraints at the Panama Canal added further stress. These shocks were reflected in lower global and several regional average scores, underscoring the vulnerability of maritime transport to geopolitical and environmental events. The CPPI is not about comparing one port against another, but about understanding changes in performance over time. Ports that improved their scores often did so by reducing time at anchor, optimizing berth operations, investing in digital tools, and strengthening coordination across logistics partners. The evidence confirms that improvements are possible across ports of all sizes, and that rising scores are linked to deliberate actions to minimize time in port relative to containers moved. By consolidating five years of results, this edition transforms the CPPI into a long-term reference point. It shows how global crises have affected shipping, how different regions have adapted, and what lessons can be drawn for future resilience. The World Bank and S&P Global Market Intelligence remain committed to maintaining the CPPI as a global public good, providing transparency, comparability, and practical insights to support more reliable and sustainable maritime supply chains.Publication The Container Port Performance Index 2023(Washington, DC: World Bank, 2024-07-18)The Container Port Performance Index (CPPI) measures the time container ships spend in port, making it an important point of reference for stakeholders in the global economy. These stakeholders include port authorities and operators, national governments, supranational organizations, development agencies, and other public and private players in trade and logistics. The index highlights where vessel time in container ports could be improved. Streamlining these processes would benefit all parties involved, including shipping lines, national governments, and consumers. This fourth edition of the CPPI relies on data from 405 container ports with at least 24 container ship port calls in the calendar year 2023. As in earlier editions of the CPPI, the ranking employs two different methodological approaches: an administrative (technical) approach and a statistical approach (using matrix factorization). Combining these two approaches ensures that the overall ranking of container ports reflects actual port performance as closely as possible while also being statistically robust. The CPPI methodology assesses the sequential steps of a container ship port call. ‘Total port hours’ refers to the total time elapsed from the moment a ship arrives at the port until the vessel leaves the berth after completing its cargo operations. The CPPI uses time as an indicator because time is very important to shipping lines, ports, and the entire logistics chain. However, time, as captured by the CPPI, is not the only way to measure port efficiency, so it does not tell the entire story of a port’s performance. Factors that can influence the time vessels spend in ports can be location-specific and under the port’s control (endogenous) or external and beyond the control of the port (exogenous). The CPPI measures time spent in container ports, strictly based on quantitative data only, which do not reveal the underlying factors or root causes of extended port times. A detailed port-specific diagnostic would be required to assess the contribution of underlying factors to the time a vessel spends in port. A very low ranking or a significant change in ranking may warrant special attention, for which the World Bank generally recommends a detailed diagnostic.Publication Global Economic Prospects, January 2025(Washington, DC: World Bank, 2025-01-16)Global growth is expected to hold steady at 2.7 percent in 2025-26. However, the global economy appears to be settling at a low growth rate that will be insufficient to foster sustained economic development—with the possibility of further headwinds from heightened policy uncertainty and adverse trade policy shifts, geopolitical tensions, persistent inflation, and climate-related natural disasters. Against this backdrop, emerging market and developing economies are set to enter the second quarter of the twenty-first century with per capita incomes on a trajectory that implies substantially slower catch-up toward advanced-economy living standards than they previously experienced. Without course corrections, most low-income countries are unlikely to graduate to middle-income status by the middle of the century. Policy action at both global and national levels is needed to foster a more favorable external environment, enhance macroeconomic stability, reduce structural constraints, address the effects of climate change, and thus accelerate long-term growth and development.Publication Digital Progress and Trends Report 2023(Washington, DC: World Bank, 2024-03-05)Digitalization is the transformational opportunity of our time. The digital sector has become a powerhouse of innovation, economic growth, and job creation. Value added in the IT services sector grew at 8 percent annually during 2000–22, nearly twice as fast as the global economy. Employment growth in IT services reached 7 percent annually, six times higher than total employment growth. The diffusion and adoption of digital technologies are just as critical as their invention. Digital uptake has accelerated since the COVID-19 pandemic, with 1.5 billion new internet users added from 2018 to 2022. The share of firms investing in digital solutions around the world has more than doubled from 2020 to 2022. Low-income countries, vulnerable populations, and small firms, however, have been falling behind, while transformative digital innovations such as artificial intelligence (AI) have been accelerating in higher-income countries. Although more than 90 percent of the population in high-income countries was online in 2022, only one in four people in low-income countries used the internet, and the speed of their connection was typically only a small fraction of that in wealthier countries. As businesses in technologically advanced countries integrate generative AI into their products and services, less than half of the businesses in many low- and middle-income countries have an internet connection. The growing digital divide is exacerbating the poverty and productivity gaps between richer and poorer economies. The Digital Progress and Trends Report series will track global digitalization progress and highlight policy trends, debates, and implications for low- and middle-income countries. The series adds to the global efforts to study the progress and trends of digitalization in two main ways: · By compiling, curating, and analyzing data from diverse sources to present a comprehensive picture of digitalization in low- and middle-income countries, including in-depth analyses on understudied topics. · By developing insights on policy opportunities, challenges, and debates and reflecting the perspectives of various stakeholders and the World Bank’s operational experiences. This report, the first in the series, aims to inform evidence-based policy making and motivate action among internal and external audiences and stakeholders. The report will bring global attention to high-performing countries that have valuable experience to share as well as to areas where efforts will need to be redoubled.