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Quality as a Latent Heterogeneity Factor in the Efficiency of Universities

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  • Daraio, Cinzia
  • Simar, Léopold

    (Université catholique de Louvain, LIDAM/ISBA, Belgium)

  • Wilson, Paul W.

Abstract

In this paper we show the usefulness of recent advanced nonparametric efficiency techniques to model the performance of universities in the presence of observed and unobserved heterogeneity. Using directional distances for benchmarking purposes, we identify a latent heterogeneity factor related to the human capital of the universities and their management, that is independent from their size, and interpret the identified latent factor as a “quality” factor of the universities. After testing the significance of this latent factor, we investigate its impact on the boundary of the production set (efficient frontier) and on the distances of the units from the efficient frontier. The frontier and the efficiency distribution of our European Universities sample appear influenced by our estimated latent quality factor. We investigate these impacts from various points of view, including the trade-off between our quality factor and efficiency as well as the roles of size and specialization.

Suggested Citation

  • Daraio, Cinzia & Simar, Léopold & Wilson, Paul W., 2021. "Quality as a Latent Heterogeneity Factor in the Efficiency of Universities," LIDAM Reprints ISBA 2021011, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
  • Handle: RePEc:aiz:louvar:2021011
    DOI: https://doi.org/10.1016/j.econmod.2021.03.004
    Note: In: Economic Modelling, Vol. 99, no. June 2021, p. 105485 (2021)
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    1. Simar, Léopold & Vanhems, Anne, 2012. "Probabilistic characterization of directional distances and their robust versions," Journal of Econometrics, Elsevier, vol. 166(2), pages 342-354.
    2. Li, Qi & Maasoumi, Esfandiar & Racine, Jeffrey S., 2009. "A nonparametric test for equality of distributions with mixed categorical and continuous data," Journal of Econometrics, Elsevier, vol. 148(2), pages 186-200, February.
    3. Daraio, Cinzia & Simar, Léopold, 2014. "Directional distances and their robust versions: Computational and testing issues," European Journal of Operational Research, Elsevier, vol. 237(1), pages 358-369.
    4. Shawna Grosskopf & Kathy Hayes & Lori L. Taylor, 2014. "Applied efficiency analysis in education," Economics and Business Letters, Oviedo University Press, vol. 3(1), pages 19-26.
    5. Alois Kneip & Léopold Simar & Paul W. Wilson, 2016. "Testing Hypotheses in Nonparametric Models of Production," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 34(3), pages 435-456, July.
    6. Johnes, Jill, 2015. "Operational Research in education," European Journal of Operational Research, Elsevier, vol. 243(3), pages 683-696.
    7. Andrea Bonaccorsi & Cinzia Daraio & Léopold Simar, 2014. "Scale and research specialization in European universities: a directional distance approach to teaching efficiency," Chapters, in: Andrea Bonaccorsi (ed.), Knowledge, Diversity and Performance in European Higher Education, chapter 10, pages iii-iii, Edward Elgar Publishing.
    8. Daouia, Abdelaati & Gijbels, Irène, 2011. "Robustness and inference in nonparametric partial frontier modeling," Journal of Econometrics, Elsevier, vol. 161(2), pages 147-165, April.
    9. Verschelde, Marijn & Rogge, Nicky, 2012. "An environment-adjusted evaluation of citizen satisfaction with local police effectiveness: Evidence from a conditional Data Envelopment Analysis approach," European Journal of Operational Research, Elsevier, vol. 223(1), pages 214-225.
    10. Simar, Léopold & Vanhems, Anne & Van Keilegom, Ingrid, 2016. "Unobserved heterogeneity and endogeneity in nonparametric frontier estimation," Journal of Econometrics, Elsevier, vol. 190(2), pages 360-373.
    11. Catherine Paradeise & Jean-Claude Thoenig, 2015. "In Search of Academic Quality," Palgrave Macmillan Books, Palgrave Macmillan, number 978-1-137-29829-4, December.
    12. Cinzia Daraio & Léopold Simar & Paul W. Wilson, 2020. "Fast and efficient computation of directional distance estimators," Annals of Operations Research, Springer, vol. 288(2), pages 805-835, May.
    13. Andrew Worthington, 2001. "An Empirical Survey of Frontier Efficiency Measurement Techniques in Education," Education Economics, Taylor & Francis Journals, vol. 9(3), pages 245-268.
    14. Bădin, Luiza & Daraio, Cinzia & Simar, Léopold, 2019. "A bootstrap approach for bandwidth selection in estimating conditional efficiency measures," European Journal of Operational Research, Elsevier, vol. 277(2), pages 784-797.
    15. Matousek, Roman & Tzeremes, Nickolaos G., 2016. "CEO compensation and bank efficiency: An application of conditional nonparametric frontiers," European Journal of Operational Research, Elsevier, vol. 251(1), pages 264-273.
    16. Florens, Jean-Pierre & Simar, Léopold & Van Keilegom, Ingrid, 2014. "Frontier estimation in nonparametric location-scale models," Journal of Econometrics, Elsevier, vol. 178(P3), pages 456-470.
    17. Simar, Léopold & Vanhems, Anne & Wilson, Paul W., 2012. "Statistical inference for DEA estimators of directional distances," European Journal of Operational Research, Elsevier, vol. 220(3), pages 853-864.
    18. Qi Li & Juan Lin & Jeffrey S. Racine, 2013. "Optimal Bandwidth Selection for Nonparametric Conditional Distribution and Quantile Functions," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 31(1), pages 57-65, January.
    19. Bădin, Luiza & Daraio, Cinzia & Simar, Léopold, 2012. "How to measure the impact of environmental factors in a nonparametric production model," European Journal of Operational Research, Elsevier, vol. 223(3), pages 818-833.
    20. Léopold Simar & Paul Wilson, 2011. "Two-stage DEA: caveat emptor," Journal of Productivity Analysis, Springer, vol. 36(2), pages 205-218, October.
    21. Halkos, George Emm. & Tzeremes, Nickolaos G., 2011. "Modelling the effect of national culture on multinational banks' performance: A conditional robust nonparametric frontier analysis," Economic Modelling, Elsevier, vol. 28(1), pages 515-525.
    22. Rosa L. Matzkin, 2003. "Nonparametric Estimation of Nonadditive Random Functions," Econometrica, Econometric Society, vol. 71(5), pages 1339-1375, September.
    23. Minviel, Jean Joseph & De Witte, Kristof, 2017. "The influence of public subsidies on farm technical efficiency: A robust conditional nonparametric approach," European Journal of Operational Research, Elsevier, vol. 259(3), pages 1112-1120.
    24. Mastromarco, Camilla & Simar, Léopold, 2018. "Globalization and productivity: A robust nonparametric world frontier analysis," Economic Modelling, Elsevier, vol. 69(C), pages 134-149.
    25. Léopold Simar & Paul W. Wilson, 2015. "Statistical Approaches for Non-parametric Frontier Models: A Guided Tour," International Statistical Review, International Statistical Institute, vol. 83(1), pages 77-110, April.
    26. Charnes, A. & Cooper, W. W. & Rhodes, E., 1978. "Measuring the efficiency of decision making units," European Journal of Operational Research, Elsevier, vol. 2(6), pages 429-444, November.
    27. Uwe Schimank & Markus Winnes, 2000. "Beyond Humboldt? The relationship between teaching and research in European university systems," Science and Public Policy, Oxford University Press, vol. 27(6), pages 397-408, December.
    28. Gerhard Kempkes & Carsten Pohl, 2010. "The efficiency of German universities-some evidence from nonparametric and parametric methods," Applied Economics, Taylor & Francis Journals, vol. 42(16), pages 2063-2079.
    29. Andrew Johnson & John Ruggiero, 2014. "Nonparametric measurement of productivity and efficiency in education," Annals of Operations Research, Springer, vol. 221(1), pages 197-210, October.
    30. Daraio, Cinzia & Bonaccorsi, Andrea & Simar, Léopold, 2015. "Efficiency and economies of scale and specialization in European universities: A directional distance approach," Journal of Informetrics, Elsevier, vol. 9(3), pages 430-448.
    31. Abdelaati Daouia & Irène Gijbels, 2011. "Robustness and inference in nonparametric partial-frontier modeling," Post-Print hal-00796744, HAL.
    32. Wilson, Paul W., 2018. "Dimension reduction in nonparametric models of production," European Journal of Operational Research, Elsevier, vol. 267(1), pages 349-367.
    33. Daraio, Cinzia & Bonaccorsi, Andrea & Simar, Léopold, 2015. "Rankings and university performance: A conditional multidimensional approach," European Journal of Operational Research, Elsevier, vol. 244(3), pages 918-930.
    34. Kristof De Witte & Laura López-Torres, 2017. "Efficiency in education: a review of literature and a way forward," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(4), pages 339-363, April.
    35. G. Thomas Sav, 2012. "Stochastic Cost Inefficiency Estimates and Rankings of Public and Private Research and Doctoral Granting Universities," Journal of Knowledge Management, Economics and Information Technology, ScientificPapers.org, vol. 2(3), pages 1-13, June.
    36. Wolszczak-Derlacz, Joanna, 2017. "An evaluation and explanation of (in)efficiency in higher education institutions in Europe and the U.S. with the application of two-stage semi-parametric DEA," Research Policy, Elsevier, vol. 46(9), pages 1595-1605.
    37. Aparicio, Juan & López-Torres, Laura & Santín, Daniel, 2018. "Economic crisis and public education. A productivity analysis using a Hicks-Moorsteen index," Economic Modelling, Elsevier, vol. 71(C), pages 34-44.
    38. Cazals, Catherine & Florens, Jean-Pierre & Simar, Leopold, 2002. "Nonparametric frontier estimation: a robust approach," Journal of Econometrics, Elsevier, vol. 106(1), pages 1-25, January.
    39. Halkos, George E. & Tzeremes, Nickolaos G., 2013. "A conditional directional distance function approach for measuring regional environmental efficiency: Evidence from UK regions," European Journal of Operational Research, Elsevier, vol. 227(1), pages 182-189.
    40. Lu, Wen-Min, 2012. "Intellectual capital and university performance in Taiwan," Economic Modelling, Elsevier, vol. 29(4), pages 1081-1089.
    41. Daraio, Cinzia & Bonaccorsi, Andrea & Geuna, Aldo & Lepori, Benedetto & Bach, Laurent & Bogetoft, Peter & F. Cardoso, Margarida & Castro-Martinez, Elena & Crespi, Gustavo & de Lucio, Ignacio Fernandez, 2011. "The European university landscape: A micro characterization based on evidence from the Aquameth project," Research Policy, Elsevier, vol. 40(1), pages 148-164, February.
    42. Stefano Nigsch & Andrea Schenker-Wicki, 2015. "Frontier Efficiency Analysis in Higher Education," Springer Books, in: Isabell M. Welpe & Jutta Wollersheim & Stefanie Ringelhan & Margit Osterloh (ed.), Incentives and Performance, edition 127, pages 155-170, Springer.
    43. Simar, Leopold & Wilson, Paul W., 2007. "Estimation and inference in two-stage, semi-parametric models of production processes," Journal of Econometrics, Elsevier, vol. 136(1), pages 31-64, January.
    44. Chambers, Robert G. & Chung, Yangho & Fare, Rolf, 1996. "Benefit and Distance Functions," Journal of Economic Theory, Elsevier, vol. 70(2), pages 407-419, August.
    45. Léopold Simar & Paul W. Wilson, 2020. "Hypothesis testing in nonparametric models of production using multiple sample splits," Journal of Productivity Analysis, Springer, vol. 53(3), pages 287-303, June.
    46. Luiza Bădin & Cinzia Daraio & Léopold Simar, 2014. "Explaining inefficiency in nonparametric production models: the state of the art," Annals of Operations Research, Springer, vol. 214(1), pages 5-30, March.
    47. Ruggiero, John, 1996. "On the measurement of technical efficiency in the public sector," European Journal of Operational Research, Elsevier, vol. 90(3), pages 553-565, May.
    48. Fried, Harold O. & Lovell, C. A. Knox & Schmidt, Shelton S. (ed.), 2008. "The Measurement of Productive Efficiency and Productivity Growth," OUP Catalogue, Oxford University Press, number 9780195183528, Decembrie.
    49. Susanne Warning, 2004. "Performance Differences in German Higher Education: Empirical Analysis of Strategic Groups," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 24(4), pages 393-408, June.
    50. Joanna Wolszczak-Derlacz & Aleksandra Parteka, 2011. "Efficiency of European public higher education institutions: a two-stage multicountry approach," Scientometrics, Springer;Akadémiai Kiadó, vol. 89(3), pages 887-917, December.
    51. Mehdi Rhaiem, 2017. "Measurement and determinants of academic research efficiency: a systematic review of the evidence," Scientometrics, Springer;Akadémiai Kiadó, vol. 110(2), pages 581-615, February.
    52. Cinzia Daraio & Léopold Simar, 2005. "Introducing Environmental Variables in Nonparametric Frontier Models: a Probabilistic Approach," Journal of Productivity Analysis, Springer, vol. 24(1), pages 93-121, September.
    53. Johnes, Jill, 2006. "Data envelopment analysis and its application to the measurement of efficiency in higher education," Economics of Education Review, Elsevier, vol. 25(3), pages 273-288, June.
    54. Nory Jones & Curtis Meadow & Miguel-Angel Sicilia, 2009. "Measuring Intellectual Capital in Higher Education," Journal of Information & Knowledge Management (JIKM), World Scientific Publishing Co. Pte. Ltd., vol. 8(02), pages 113-136.
    55. Wilson, Paul W., 2008. "FEAR: A software package for frontier efficiency analysis with R," Socio-Economic Planning Sciences, Elsevier, vol. 42(4), pages 247-254, December.
    56. Cinzia Daraio, 2017. "A framework for the Assessment of Research and its impacts," DIAG Technical Reports 2017-04, Department of Computer, Control and Management Engineering, Universita' degli Studi di Roma "La Sapienza".
    57. repec:hal:journl:peer-00796744 is not listed on IDEAS
    58. R. G. Chambers & Y. Chung & R. Färe, 1998. "Profit, Directional Distance Functions, and Nerlovian Efficiency," Journal of Optimization Theory and Applications, Springer, vol. 98(2), pages 351-364, August.
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    Cited by:

    1. Daraio, Cinzia & Simar, Léopold, 2022. "Approximations and Inference for Nonparametric Production Frontiers," LIDAM Discussion Papers ISBA 2022017, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
    2. Sun, Yu & Yang, Feng & Wang, Dawei & Ang, Sheng, 2023. "Efficiency evaluation for higher education institutions in China considering unbalanced regional development: A meta-frontier Super-SBM model," Socio-Economic Planning Sciences, Elsevier, vol. 88(C).
    3. Fall, François Seck & Tchakoute Tchuigoua, Hubert & Vanhems, Anne & Simar, Léopold, 2022. "Investigating the unobserved heterogeneity effect on microfinance social efficiency," LIDAM Discussion Papers ISBA 2022010, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
    4. Yunguo Lu & Lin Zhang, 2023. "Environmental information disclosure and firm production: evidence from the estimated efficiency of publicly listed firms in China," Journal of Productivity Analysis, Springer, vol. 59(1), pages 99-119, February.
    5. F. S. Fall & H. Tchakoute Tchuigoua & A. Vanhems & L. Simar, 2023. "Investigating the unobserved heterogeneity effect on outreach to women: lessons from microfinance institutions," Annals of Operations Research, Springer, vol. 328(2), pages 1365-1386, September.
    6. Thyago C. C. Nepomuceno & Cinzia Daraio & Ana Paula C. S. Costa, 2021. "Multicriteria Ranking for the Efficient and Effective Assessment of Police Departments," Sustainability, MDPI, vol. 13(8), pages 1-15, April.
    7. Agasisti, Tommaso & Egorov, Aleksei & Serebrennikov, Pavel, 2023. "Universities’ efficiency and the socioeconomic characteristics of their environment — Evidence from an empirical analysis," Socio-Economic Planning Sciences, Elsevier, vol. 85(C).
    8. Léopold Simar & Paul W. Wilson, 2023. "Another look at productivity growth in industrialized countries," Journal of Productivity Analysis, Springer, vol. 60(3), pages 257-272, December.

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    More about this item

    Keywords

    nonparametric efficiency ; performance assessment ; benchmarking ; directional distances ; conditional efficiency ; observed and unobserved heterogeneity ; European universities ; quality;
    All these keywords.

    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General
    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity
    • I23 - Health, Education, and Welfare - - Education - - - Higher Education; Research Institutions

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