IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v256y2017i2p533-542.html
   My bibliography  Save this article

Comparing school ownership performance using a pseudo-panel database: A Malmquist-type index approach

Author

Listed:
  • Aparicio, Juan
  • Crespo-Cebada, Eva
  • Pedraja-Chaparro, Francisco
  • Santín, Daniel

Abstract

In this paper, we propose a different way of using the Malmquist index that allows us to further analyze the relative performance divergences between two groups of decision-making units (DMUs) over time when only a pseudo-panel database is available. To do this, we extend the Camanho and Dyson (2006) one-period Malmquist-type index (CDMI) for a pseudo-panel database with a new pseudo-panel Malmquist index (PPMI). To illustrate the methodology, we apply it to examine how the performance gap between public and private government-dependent secondary schools in the Basque Country (Spain) performed across three PISA waves (2006, 2009 and 2012). The results suggest that performance is persistently and significantly higher for private government-dependent schools than for public schools.

Suggested Citation

  • Aparicio, Juan & Crespo-Cebada, Eva & Pedraja-Chaparro, Francisco & Santín, Daniel, 2017. "Comparing school ownership performance using a pseudo-panel database: A Malmquist-type index approach," European Journal of Operational Research, Elsevier, vol. 256(2), pages 533-542.
    • Handle: RePEc:eee:ejores:v:256:y:2017:i:2:p:533-542
    DOI: 10.1016/j.ejor.2016.06.030
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377221716304507
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ejor.2016.06.030?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Kirjavainen, Tanja & Loikkanent, Heikki A., 1998. "Efficiency differences of finnish senior secondary schools: An application of DEA and Tobit analysis," Economics of Education Review, Elsevier, vol. 17(4), pages 377-394, October.
    2. Henry M. Levin, 1974. "Measuring Efficiency in Educational Production," Public Finance Review, , vol. 2(1), pages 3-24, January.
    3. Pastor, Jesus T. & Lovell, C.A. Knox, 2005. "A global Malmquist productivity index," Economics Letters, Elsevier, vol. 88(2), pages 266-271, August.
    4. Ray, Subhash C & Desli, Evangelia, 1997. "Productivity Growth, Technical Progress, and Efficiency Change in Industrialized Countries: Comment," American Economic Review, American Economic Association, vol. 87(5), pages 1033-1039, December.
    5. 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.
    6. C B Vaz & A S Camanho, 2012. "Performance comparison of retailing stores using a Malmquist-type index," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 63(5), pages 631-645, May.
    7. Hanushek, Eric A. & Link, Susanne & Woessmann, Ludger, 2013. "Does school autonomy make sense everywhere? Panel estimates from PISA," Journal of Development Economics, Elsevier, vol. 104(C), pages 212-232.
    8. Armen A. Alchian, 1950. "Uncertainty, Evolution, and Economic Theory," Journal of Political Economy, University of Chicago Press, vol. 58(3), pages 211-211.
    9. Eric A. Hanushek, 1979. "Conceptual and Empirical Issues in the Estimation of Educational Production Functions," Journal of Human Resources, University of Wisconsin Press, vol. 14(3), pages 351-388.
    10. Vandenberghe, V. & Robin, S., 2004. "Evaluating the effectiveness of private education across countries: a comparison of methods," Labour Economics, Elsevier, vol. 11(4), pages 487-506, August.
    11. Diogo Ferreira & Rui Marques, 2015. "Did the corporatization of Portuguese hospitals significantly change their productivity?," The European Journal of Health Economics, Springer;Deutsche Gesellschaft für Gesundheitsökonomie (DGGÖ), vol. 16(3), pages 289-303, April.
    12. Eric A. Hanushek & Ludger Woessmann, 2008. "The Role of Cognitive Skills in Economic Development," Journal of Economic Literature, American Economic Association, vol. 46(3), pages 607-668, September.
    13. Ganzeboom, H.B.G. & de Graaf, P.M. & Treiman, D.J. & de Leeuw, J., 1992. "A standard international socio-economic index of occupational status," WORC Paper 92.01.001/1, Tilburg University, Work and Organization Research Centre.
    14. Eva Crespo-Cebada & Francisco Pedraja-Chaparro & Daniel Santín, 2014. "Does school ownership matter? An unbiased efficiency comparison for regions of Spain," Journal of Productivity Analysis, Springer, vol. 41(1), pages 153-172, February.
    15. Angel de la Fuente, 2011. "Human Capital and Productivity," Working Papers 530, Barcelona School of Economics.
    16. A. Camanho & R. Dyson, 2006. "Data envelopment analysis and Malmquist indices for measuring group performance," Journal of Productivity Analysis, Springer, vol. 26(1), pages 35-49, August.
    17. M-J Mancebón & J Calero & Á Choi & D P Ximénez-de-Embún, 2012. "The efficiency of public and publicly subsidized high schools in Spain: Evidence from PISA-2006," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 63(11), pages 1516-1533, November.
    18. Jerik Hanushek & Dennis Kimko, 2006. "Schooling, Labor-force Quality, and the Growth of Nations," Voprosy obrazovaniya / Educational Studies Moscow, National Research University Higher School of Economics, issue 1, pages 154-193.
    19. Thomas J. Nechyba, 2000. "Mobility, Targeting, and Private-School Vouchers," American Economic Review, American Economic Association, vol. 90(1), pages 130-146, March.
    20. Sergio Perelman & Daniel Santin, 2011. "Measuring educational efficiency at student level with parametric stochastic distance functions: an application to Spanish PISA results," Education Economics, Taylor & Francis Journals, vol. 19(1), pages 29-49.
    21. E. Grifell-Tatjé & C. Lovell, 1999. "A generalized Malmquist productivity index," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 7(1), pages 81-101, June.
    22. Thanassoulis, Emmanuel & Shiraz, Rashed Khanjani & Maniadakis, Nikolaos, 2015. "A cost Malmquist productivity index capturing group performance," European Journal of Operational Research, Elsevier, vol. 241(3), pages 796-805.
    23. M. Portela & A. Camanho & A. Keshvari, 2013. "Assessing the evolution of school performance and value-added: trends over four years," Journal of Productivity Analysis, Springer, vol. 39(1), pages 1-14, February.
    24. A. Charnes & W. W. Cooper & E. Rhodes, 1981. "Evaluating Program and Managerial Efficiency: An Application of Data Envelopment Analysis to Program Follow Through," Management Science, INFORMS, vol. 27(6), pages 668-697, June.
    25. Eric A. Hanushek, 2003. "The Failure of Input-Based Schooling Policies," Economic Journal, Royal Economic Society, vol. 113(485), pages 64-98, February.
    26. Caves, Douglas W & Christensen, Laurits R & Diewert, W Erwin, 1982. "The Economic Theory of Index Numbers and the Measurement of Input, Output, and Productivity," Econometrica, Econometric Society, vol. 50(6), pages 1393-1414, November.
    27. Bradley, Steve & Johnes, Geraint & Millington, Jim, 2001. "The effect of competition on the efficiency of secondary schools in England," European Journal of Operational Research, Elsevier, vol. 135(3), pages 545-568, December.
    28. Mohsen Afsharian & Heinz Ahn, 2015. "The overall Malmquist index: a new approach for measuring productivity changes over time," Annals of Operations Research, Springer, vol. 226(1), pages 1-27, March.
    29. Berg, Sigbjorn Atle & Forsund, Finn R. & Hjalmarsson, Lennart & Suominen, Matti, 1993. "Banking efficiency in the Nordic countries," Journal of Banking & Finance, Elsevier, vol. 17(2-3), pages 371-388, April.
    30. Brennan, Shae & Haelermans, Carla & Ruggiero, John, 2014. "Nonparametric estimation of education productivity incorporating nondiscretionary inputs with an application to Dutch schools," European Journal of Operational Research, Elsevier, vol. 234(3), pages 809-818.
    31. Finn R. FF8rsund, 2002. "On the circularity of the Malmquist productivity index," ICER Working Papers 29-2002, ICER - International Centre for Economic Research.
    32. Shawna Grosskopf & Kathy J. Hayes & Lori L. Taylor, 2014. "Efficiency in Education: Research and Implications," Applied Economic Perspectives and Policy, Agricultural and Applied Economics Association, vol. 36(2), pages 175-210.
    33. Mei Xue & Patrick T. Harker, 2002. "Note: Ranking DMUs with Infeasible Super-Efficiency DEA Models," Management Science, INFORMS, vol. 48(5), pages 705-710, May.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. An, Duong Hoai, 2022. "Performance of universities in Vietnam," International Journal of Educational Development, Elsevier, vol. 91(C).
    2. Paolo Liberati & Raffaele Lagravinese & Giuliano Resce, 2017. "How Does Economic Social And Cultural Status Affect The Efficiency Of Educational Attainments? A Comparative Analysis On Pisa Results," Departmental Working Papers of Economics - University 'Roma Tre' 0217, Department of Economics - University Roma Tre.
    3. Aparicio, Juan & Santin, Daniel, 2018. "A note on measuring group performance over time with pseudo-panels," European Journal of Operational Research, Elsevier, vol. 267(1), pages 227-235.
    4. Juan Aparicio & Sergio Perelman & Daniel Santín, 2022. "Comparing the evolution of productivity and performance gaps in education systems through DEA: an application to Latin American countries," Operational Research, Springer, vol. 22(2), pages 1443-1477, April.
    5. Zhou, Xun & Kuosmanen, Timo, 2020. "What drives decarbonization of new passenger cars?," European Journal of Operational Research, Elsevier, vol. 284(3), pages 1043-1057.
    6. Tourinho, Marco & Barbosa, Flávia & Santos, Paulo Rosa & Pinto, Francisco Taveira & Camanho, Ana S., 2023. "Productivity change in Brazilian water services: A benchmarking study of national and regional trends," Socio-Economic Planning Sciences, Elsevier, vol. 86(C).
    7. Chen, Xiang & Grifell-Tatjé, Emili & Fu, Tsu-Tan, 2023. "A profit difference decomposition model for measuring group performance: an application to Chinese and Taiwanese commercial banks," Omega, Elsevier, vol. 120(C).
    8. Santos, Sérgio P. & São José, José M.S., 2018. "Measuring and decomposing the gender pay gap: A new frontier approachAuthor-Name: Amado, Carla A.F," European Journal of Operational Research, Elsevier, vol. 271(1), pages 357-373.
    9. Afsharian, Mohsen & Ahn, Heinz & Harms, Sören Guntram, 2019. "Performance comparison of management groups under centralised management," European Journal of Operational Research, Elsevier, vol. 278(3), pages 845-854.
    10. Carina Steckenleiter & Michael Lechner & Tim Pawlowski & Ute Schüttoff, 2023. "Do local expenditures on sports facilities affect sports participation?," Economic Inquiry, Western Economic Association International, vol. 61(4), pages 1103-1128, October.
    11. D’Inverno, Giovanna & Smet, Mike & De Witte, Kristof, 2021. "Impact evaluation in a multi-input multi-output setting: Evidence on the effect of additional resources for schools," European Journal of Operational Research, Elsevier, vol. 290(3), pages 1111-1124.
    12. Barnabé Walheer, 2022. "Global Malmquist and cost Malmquist indexes for group comparison," Journal of Productivity Analysis, Springer, vol. 58(1), pages 75-93, August.
    13. Arbona, Alexei & Giménez, Víctor & López-Estrada, Sebastián & Prior, Diego, 2022. "Efficiency and quality in Colombian education: An application of the metafrontier Malmquist-Luenberger productivity index," Socio-Economic Planning Sciences, Elsevier, vol. 79(C).
    14. Aparicio, Juan & Ortiz, Lidia & Santín, Daniel, 2021. "Comparing group performance over time through the Luenberger productivity indicator: An application to school ownership in European countries," European Journal of Operational Research, Elsevier, vol. 294(2), pages 651-672.
    15. Martin Boďa & Mariana Považanová, 2020. "Productivity patterns in Europe: adaptation of the Malmquist index to measuring group performance and productivity change over time," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 47(4), pages 949-989, November.
    16. Camanho, Ana S. & Varriale, Luisa & Barbosa, Flávia & Sobral, Thiago, 2021. "Performance assessment of upper secondary schools in Italian regions using a circular pseudo-Malmquist index," European Journal of Operational Research, Elsevier, vol. 289(3), pages 1188-1208.
    17. Lagravinese, Raffaele & Liberati, Paolo & Resce, Giuliano, 2020. "The impact of economic, social and cultural conditions on educational attainments," Journal of Policy Modeling, Elsevier, vol. 42(1), pages 112-132.
    18. Gabriella Sicilia & Rosa Simancas, 2023. "Eficiencia y equidad educativa en España: un análisis comparativo a nivel regional," Hacienda Pública Española / Review of Public Economics, IEF, vol. 245(2), pages 7-33, June.
    19. Víctor Giménez & Claudio Thieme & Diego Prior & Emili Tortosa-Ausina, 2017. "An international comparison of educational systems: a temporal analysis in presence of bad outputs," Journal of Productivity Analysis, Springer, vol. 47(1), pages 83-101, February.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Aparicio, Juan & Ortiz, Lidia & Santín, Daniel, 2021. "Comparing group performance over time through the Luenberger productivity indicator: An application to school ownership in European countries," European Journal of Operational Research, Elsevier, vol. 294(2), pages 651-672.
    2. José Manuel Cordero & Daniel Santín & Rosa Simancas, 2017. "Assessing European primary school performance through a conditional nonparametric model," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(4), pages 364-376, April.
    3. 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.
    4. Arbona, Alexei & Giménez, Víctor & López-Estrada, Sebastián & Prior, Diego, 2022. "Efficiency and quality in Colombian education: An application of the metafrontier Malmquist-Luenberger productivity index," Socio-Economic Planning Sciences, Elsevier, vol. 79(C).
    5. Juan Aparicio & Sergio Perelman & Daniel Santín, 2022. "Comparing the evolution of productivity and performance gaps in education systems through DEA: an application to Latin American countries," Operational Research, Springer, vol. 22(2), pages 1443-1477, April.
    6. Aparicio, Juan & Santin, Daniel, 2018. "A note on measuring group performance over time with pseudo-panels," European Journal of Operational Research, Elsevier, vol. 267(1), pages 227-235.
    7. Afsharian, Mohsen & Ahn, Heinz & Harms, Sören Guntram, 2019. "Performance comparison of management groups under centralised management," European Journal of Operational Research, Elsevier, vol. 278(3), pages 845-854.
    8. Eva Crespo-Cebada & Francisco Pedraja-Chaparro & Daniel Santín, 2014. "Does school ownership matter? An unbiased efficiency comparison for regions of Spain," Journal of Productivity Analysis, Springer, vol. 41(1), pages 153-172, February.
    9. Cordero, Jose M. & Polo, Cristina & Santín, Daniel & Simancas, Rosa, 2018. "Efficiency measurement and cross-country differences among schools: A robust conditional nonparametric analysis," Economic Modelling, Elsevier, vol. 74(C), pages 45-60.
    10. Alexander Arévalo S & Víctor Giménez G & Diego Prior J, 2022. "Análisis de eficiencia en educación: una aplicación del método StoNED," Revista Desarrollo y Sociedad, Universidad de los Andes,Facultad de Economía, CEDE, vol. 92(2), pages 45-91, October.
    11. 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.
    12. Daniel Santín & Gabriela Sicilia, 2015. "Measuring the efficiency of public schools in Uruguay: main drivers and policy implications," Latin American Economic Review, Springer;Centro de Investigaciòn y Docencia Económica (CIDE), vol. 24(1), pages 1-28, December.
    13. D’Inverno, Giovanna & Smet, Mike & De Witte, Kristof, 2021. "Impact evaluation in a multi-input multi-output setting: Evidence on the effect of additional resources for schools," European Journal of Operational Research, Elsevier, vol. 290(3), pages 1111-1124.
    14. Chen, Xiang & Grifell-Tatjé, Emili & Fu, Tsu-Tan, 2023. "A profit difference decomposition model for measuring group performance: an application to Chinese and Taiwanese commercial banks," Omega, Elsevier, vol. 120(C).
    15. Badunenko, Oleg & D’Inverno, Giovanna & De Witte, Kristof, 2023. "On distinguishing the direct causal effect of an intervention from its efficiency-enhancing effects," European Journal of Operational Research, Elsevier, vol. 310(1), pages 432-447.
    16. López-Torres, Laura & Prior, Diego, 2022. "Long-term efficiency of public service provision in a context of budget restrictions. An application to the education sector," Socio-Economic Planning Sciences, Elsevier, vol. 81(C).
    17. K. Kounetas & G. Androulakis & M. Kaisari & G. Manousakis, 2023. "Educational reforms and secondary school's efficiency performance in Greece: a bootstrap DEA and multilevel approach," Operational Research, Springer, vol. 23(1), pages 1-29, March.
    18. Barnabé Walheer, 2022. "Global Malmquist and cost Malmquist indexes for group comparison," Journal of Productivity Analysis, Springer, vol. 58(1), pages 75-93, August.
    19. Daniel Feliciano & Laura López-Torres & Daniel Santín, 2021. "One Laptop per Child? Using Production Frontiers for Evaluating the Escuela 2.0 Program in Spain," Mathematics, MDPI, vol. 9(20), pages 1-17, October.
    20. Camanho, Ana S. & Varriale, Luisa & Barbosa, Flávia & Sobral, Thiago, 2021. "Performance assessment of upper secondary schools in Italian regions using a circular pseudo-Malmquist index," European Journal of Operational Research, Elsevier, vol. 289(3), pages 1188-1208.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:ejores:v:256:y:2017:i:2:p:533-542. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eor .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.