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Analysis of group performance with categorical data when agents are heterogeneous: The case of compulsory education in the OECD

Author

Listed:
  • Ildefonso Méndez Martínez

    () (Dpto. Economía Aplicada)

  • Antonio Villar Notario

    (Instituto Valenciano de Investigaciones Económicas)

  • Carmen Herrero Blanco

    (Instituto Valenciano de Investigaciones Económicas)

Abstract

This paper analyses the evaluation of the relative performance of a set of groups when their outcomes are defined in terms of categorical data and the groups’ members are heterogeneous. This type of problem has been dealt with in Herrero and Villar (2012) for the case of a homogenous population. Here we expand their model controlling for heterogeneity by means of inverse probability weighting techniques. We apply this extended model to the analysis of compulsory education in the OECD countries, using the data in the PISA. We evaluate the relative performance of the different countries out of the distribution of the students’ achievements across the different levels of competence, controlling by the students’ characteristics (explanatory variables regarding schooling and family environment). We find that differences in reading ability across OECD countries would lower by 35% if their endowment of students’ characteristics would be that for the OECD average.

Suggested Citation

  • Ildefonso Méndez Martínez & Antonio Villar Notario & Carmen Herrero Blanco, 2013. "Analysis of group performance with categorical data when agents are heterogeneous: The case of compulsory education in the OECD," Working Papers. Serie AD 2013-08, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    • Handle: RePEc:ivi:wpasad:2013-08
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    File URL: http://www.ivie.es/downloads/docs/wpasad/wpasad-2013-08.pdf
    File Function: Fisrt version / Primera version, 2013
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    References listed on IDEAS

    as
    1. Richard K. Crump & V. Joseph Hotz & Guido W. Imbens & Oscar A. Mitnik, 2009. "Dealing with limited overlap in estimation of average treatment effects," Biometrika, Biometrika Trust, vol. 96(1), pages 187-199.
    2. Calo-Blanco Aitor & Villar Notario Antonio, 2010. "Quality of Education and Equality of Opportunity in Spain: Lesson from Pisa," Working Papers 20104, Fundacion BBVA / BBVA Foundation.
    3. Daniele Checchi & Vito Peragine, 2010. "Inequality of opportunity in Italy," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 8(4), pages 429-450, December.
    4. Busso, Matias & DiNardo, John & McCrary, Justin, 2009. "New Evidence on the Finite Sample Properties of Propensity Score Matching and Reweighting Estimators," IZA Discussion Papers 3998, Institute for the Study of Labor (IZA).
    5. Antonio Villar Notario & Carmen Herrero Blanco, 2012. "On the comparison of group performance with categorical data," Working Papers. Serie AD 2012-17, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    6. Fleurbaey, Marc, 2012. "Fairness, Responsibility, and Welfare," OUP Catalogue, Oxford University Press, number 9780199653591.
    7. Arnaud Lefranc & Nicolas Pistolesi & Alain Trannoy, 2008. "Inequality Of Opportunities Vs. Inequality Of Outcomes: Are Western Societies All Alike?," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 54(4), pages 513-546, December.
    8. Lefranc, Arnaud & Pistolesi, Nicolas & Trannoy, Alain, 2009. "Equality of opportunity and luck: Definitions and testable conditions, with an application to income in France," Journal of Public Economics, Elsevier, vol. 93(11-12), pages 1189-1207, December.
    9. Peragine, Vito & Serlenga, Laura, 2007. "Higher Education and Equality of Opportunity in Italy," IZA Discussion Papers 3163, Institute for the Study of Labor (IZA).
    10. Ciccone, Antonio & Garcia-Fontes, Walter, 2009. "The quality of the Catalan and Spanish education systems: A perspective from PISA," IESE Research Papers D/810, IESE Business School.
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    More about this item

    Keywords

    Group performance; compulsory education; heterogeneity; categorical data; inverse probability weighting.;

    JEL classification:

    • I24 - Health, Education, and Welfare - - Education - - - Education and Inequality
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General

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