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Analysis of group performance with categorical data when agents are heterogeneous: The evaluation of scholastic performance in the OECD through PISA

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  • Herrero, Carmen
  • Mendez, Ildefonso
  • Villar, Antonio

Abstract

This paper analyzes 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 (2013) for the case of a homogeneous 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 the scholastic performance of fifteen-year-old students 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 mathematical and reading abilities across OECD countries would lower by between 40% and 50% if the students’ characteristics would be those for the OECD average.

Suggested Citation

  • Herrero, Carmen & Mendez, Ildefonso & Villar, Antonio, 2014. "Analysis of group performance with categorical data when agents are heterogeneous: The evaluation of scholastic performance in the OECD through PISA," Economics of Education Review, Elsevier, vol. 40(C), pages 140-151.
    • Handle: RePEc:eee:ecoedu:v:40:y:2014:i:c:p:140-151
    DOI: 10.1016/j.econedurev.2014.02.001
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    References listed on IDEAS

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    1. Hanushek, Eric A. & Woessmann, Ludger, 2011. "The Economics of International Differences in Educational Achievement," Handbook of the Economics of Education, in: Erik Hanushek & Stephen Machin & Ludger Woessmann (ed.), Handbook of the Economics of Education, edition 1, volume 3, chapter 2, pages 89-200, Elsevier.
    2. 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.
    3. Carmen Herrero & Antonio Villar, 2013. "On the Comparison of Group Performance with Categorical Data," PLOS ONE, Public Library of Science, vol. 8(12), pages 1-7, December.
    4. Fleurbaey, Marc, 2012. "Fairness, Responsibility, and Welfare," OUP Catalogue, Oxford University Press, number 9780199653591.
    5. 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.
    6. 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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    Cited by:

    1. Ishizaka, Alessio & Resce, Giuliano, 2021. "Best-Worst PROMETHEE method for evaluating school performance in the OECD's PISA project," Socio-Economic Planning Sciences, Elsevier, vol. 73(C).
    2. Jerrim, John & Lopez-Agudo, Luis Alejandro & Marcenaro-Gutierrez, Oscar D. & Shure, Nikki, 2017. "What happens when econometrics and psychometrics collide? An example using the PISA data," Economics of Education Review, Elsevier, vol. 61(C), pages 51-58.
    3. Carmen Herrero & Antonio Villar, 2018. "The Balanced Worth: A Procedure to Evaluate Performance in Terms of Ordered Attributes," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 140(3), pages 1279-1300, December.
    4. Giuseppe Coco & Raffaele Lagravinese & Giuliano Resce, 2020. "Beyond the weights: a multicriteria approach to evaluate inequality in education," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 18(4), pages 469-489, December.
    5. Cristina Pita & Ramón J. Torregrosa, 2023. "The Education-Job Satisfaction Paradox in the Public Sector," Public Organization Review, Springer, vol. 23(4), pages 1717-1735, December.

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    More about this item

    Keywords

    Group performance; Fifteen-year-old students; Scholastic performance; Heterogeneity; Categorical data; Inverse probability weighting;
    All these keywords.

    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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