Ir al contenido

Documat

Data envelopment analysis efficiency of public services: bootstrap simultaneous confidence region

  • Jesús A. Tapia [1] ; Bonifacio Salvador [1] Árbol académico ; Jesús M. Rodríguez [2]
    1. [1] Universidad de Valladolid

      Universidad de Valladolid

      Valladolid, España

    2. [2] Junta de Castilla y León

      Junta de Castilla y León

      Valladolid, España

  • Localización: Sort: Statistics and Operations Research Transactions, ISSN 1696-2281, Vol. 43, Nº. 2, 2019, págs. 337-354
  • Idioma: inglés
  • Enlaces
  • Resumen

    • Public services, such as higher education, medical services, libraries or public administration offices, provide services to their customers. To obtain opinion-satisfaction indices of customers, it would be necessary to survey all the customers of the service (census), which is impossible. What is possible is to estimate the indices by surveying a random customer sample. The efficiency obtained with the classic data envelopment analysis models, considering the opinion indices of the customers of the public service as output data estimated with a user sample, will be an estimation of the obtained efficiency if the census is available. This paper proposes a bootstrap methodology to build a confidence region to simultaneously estimate the population data envelopment analysis efficiency score vector of a set of public service-producing units, with a fixed confidence level and using deterministic input data and estimated customer opinion indices as output data. The usefulness of the result is illustrated by describing a case study comparing the efficiency of libraries.

  • Referencias bibliográficas
    • Alexander, W.R.J., Haug, A.A. and Jaforullah, M. (2010). A two-stage double-bootstrap data envelopment analysis of efficiency differences...
    • Assaf, A. (2010). Bootstrapped scale efficiency measures of UK airports. Journal of Air Transport Management, 16, 42–44.
    • Assaf, A.G. and Agbola, F.W. (2011). Modelling the performance of Australian hotels: A DEA double bootstrap approach. Tourism Economics, 17,...
    • Banker, R.D. (1993). Maximum likelihood, consistency and data envelopment analysis: a statistical foundation. Management Science, 39, 1265–1273.
    • Barra, C. and Zotti, R. (2016). Measuring efficiency in higher education: An empirical study using a bootstrapped data envelopment analysis....
    • Bayraktar, E., Tatoglu, E., Turkyilmaz, A., Delen, D. and Zaim, S. (2012). Measuring the efficiency of customer satisfaction and loyalty for...
    • Benito, B., Solana, J. and Moreno, M.R. (2014). Explaining efficiency in municipal services providers. Journal of Productivity Analysis, 42,...
    • Casu, B. and Molyneux, P. (2003). A comparative study of efficiency in European banking. Applied Economics, 35, 1865–1876.
    • Ceyhan, M.E. and Benneyan, J.C. (2014). Handling estimated proportions in public sector data envelopment analysis. Annals of Operations Research,...
    • Charles, V. and Kumar, M. (2014). Satisficing data envelopment analysis: An application to servqual efficiency. Measurement, 51, 71–80.
    • Charnes, A. and Cooper, W.W. (1959). Chance-constrained programming. Management Science, 6, 73–79.
    • Charnes, A. and Cooper, W.W. (1963). Deterministic equivalents for optimizing and satisficing under chance constraints. Operations Research,...
    • Charnes, A., Cooper, W.W. and Rhodes, E. (1978). Measuring the efficiency of decision making units. European Journal of Operational Research,...
    • Chowdhury, H. and Zelenyuk, V. (2016). Performance of hospital services in Ontario: DEA with truncated regression approach. Omega, 63, 111–122.
    • Cooper, W., Huang, Z. and Li, S.X. (1996). Satisficing DEA models under chance constraints. Annals of Operations Research, 66, 279–295.
    • Cooper, W.W., Deng, H., Huang, Z., Li, S.X. et al. (2002). Chance constrained programming approaches to technical efficiencies and inefficiencies...
    • Cooper, W.W., Seiford, L.M. and Tone, K. (2006). Introduction to data envelopment analysis and its uses: with DEA-solver software and references....
    • Cooper, W.W., Seiford, L.M. and Zhu, J. (2011). Handbook on data envelopment analysis, volume 164. Springer Science & Business Media....
    • Essid, H., Ouellette, P. and Vigeant, S. (2014). Productivity, efficiency and technical change of Tunisian schools: a bootstrapped Malmquist...
    • Førsund, F.R. (2017). Measuring effectiveness of production in the public sector. Omega, https://doi.org/10. 1016/j.omega.2016.12.007.
    • Gil Ropero, A., Turias Dominguez, I. and Cerbán Jiménez, M.M. (2019). Bootstrapped operating efficiency in container ports: a case study...
    • Huang, Z. and Li, S.X. (2001). Stochastic DEA models with different types of input-output disturbances. Journal of Productivity Analysis,...
    • Khodabakhshi, M. (2010). An output oriented super-efficiency measure in stochastic data envelopment analysis: Considering iranian electricity...
    • Khodabakhshi, M. and Asgharian, M. (2009). An input relaxation measure of efficiency in stochastic data envelopment analysis. Applied Mathematical...
    • Kneip, A., Park, B.U. and Simar, L. (1998). A note on the convergence of nonparametric DEA estimators for production efficiency scores. Econometric...
    • Kneip, A., Simar, L. and Wilson, P.W. (2008). Asymptotics and consistent bootstraps for DEA estimators in nonparametric frontier models. Econometric...
    • Kneip, A., Simar, L. and Wilson, P.W. (2011). A computationally efficient, consistent bootstrap for inference with non-parametric DEA estimators....
    • Land, K.C., Lovell, C. and Thore, S. (1993). Chance-constrained data envelopment analysis. Managerial and Decision Economics, 14, 541–554.
    • Lee, H. and Kim, C. (2014). Benchmarking of service quality with data envelopment analysis. Expert Systems with Applications, 41, 3761–3768.
    • Liu, S.T. and Chuang, M. (2009). Fuzzy efficiency measures in fuzzy DEA/AR with application to university libraries. Expert Systems with Applications,...
    • Mayston, D.J. (2015). Analysing the effectiveness of public service producers with endogenous resourcing. Journal of Productivity Analysis,...
    • Mayston, D.J. (2017). Data envelopment analysis, endogeneity and the quality frontier for public services. Annals of Operations Research,...
    • Olesen, O.B. and Petersen, N. (1995). Chance constrained efficiency evaluation. Management Science, 41, 442–457.
    • Parasuraman, A., Berry, L.L. and Zeithaml, V.A. (1993). More on improving service quality measurement. Journal of Retailing, 69, 140–147.
    • Salo, A. and Punkka, A. (2011). Ranking intervals and dominance relations for ratio-based efficiency analysis. Management Science, 57, 200–214.
    • Santı́n, D. and Sicilia, G. (2017). Dealing with endogeneity in data envelopment analysis applications. Expert Systems with Applications,...
    • Särndal, C.-E., Swensson, B. and Wretman, J. (2003). Model assisted survey sampling. Springer Science & Business Media. New York, NY...
    • Silverman, B.W. (1986). Density estimation for statistics and data analysis. Chapman and Hall. London; New York.
    • Simar, L. and Wilson, P.W. (1998). Sensitivity analysis of efficiency scores: How to bootstrap in nonparametric frontier models. Management...
    • Simar, L. and Wilson, P.W. (2000). A general methodology for bootstrapping in non-parametric frontier models. Journal of Applied Statistics,...
    • Simar, L. and Wilson, P.W. (2007). Estimation and inference in two-stage, semi-parametric models of production processes. Journal of Econometrics,...
    • Simar, L. and Wilson, P.W. (2011). Inference by the m out of n bootstrap in nonparametric frontier models. Journal of Productivity Analysis,...
    • Simar, L. and Wilson, P.W. (2013). Estimation and inference in nonparametric frontier models: Recent developments and perspectives. Foundations...
    • Simar, L. and Wilson, P.W. (2015). Statistical approaches for non-parametric frontier models: a guided tour. International Statistical Review,...
    • Simar, L. and Zelenyuk, V. (2006). On testing equality of distributions of technical efficiency scores. Econometric Reviews, 25, 497–522.
    • Smith, P. and Mayston, D. (1987). Measuring efficiency in the public sector. Omega, 15, 181–189.
    • Tapia, J.A., Salvador, B. and RodrÃguez, J.M. (2018). Data envelopment analysis in satisfaction survey research: sample size problem. Journal...
    • Tavana, M., Shiraz, R.K. and Hatami-Marbini, A. (2014). A new chance-constrained DEA model with birandom input and output data. Journal of...
    • Tsekouras, K., Papathanassopoulos, F., Kounetas, K. and Pappous, G. (2010). Does the adoption of new technology boost productive efficiency...
    • Witte, K.D. and Geys, B. (2013). Citizen coproduction and efficient public good provision: Theory and evidence from local public libraries....
    • Wu, D. and Olson, D.L. (2008). A comparison of stochastic dominance and stochastic DEA for vendor evaluationand. International Journal of...
    • Wu, D.D. (2010). A systematic stochastic efficiency analysis model and application to international supplier performance evaluation. Expert...
    • Wu, D.D. and Lee, C.-G. (2010). Stochastic DEA with ordinal data applied to a multi-attribute pricing problem. European Journal of Operational...
Fundación Dialnet

Mi Documat

Opciones de artículo

Opciones de compartir

Opciones de entorno