DEA의 효율성 평균 차이에 대한 비모수적 검증-부트스트랩 접근법-

A Nonparametric Test on Mean Difference of DEA Efficiency Estimates - Bootstrapping Approach-

  • 발행 : 1999.06.01

초록

This paper presents a nonparametric method to test if the mean difference of DEA efficiency estimates between two groups statistically exists. A proposed method employs a bootstrapping approach to generation BCC efficiency estimates through Monte Carlo simulation resampling process. For the purpose of demonstration, we empirically apply the proposed method to the korean bank industry and compare its result with the result by the traditional deterministic DEA method. The nonparametric statistical hypothesis testing procedure in this study, which considers not only stochastic variability of the DEA data, but also random radial deviations off the efficient frontier, serves as a useful tool for dbjectively evaluating whether the mean difference of DEA efficiency estimates between groups is statistically significant.

키워드

참고문헌

  1. 박사학위논문, 서강대학교 대학원 비모수적 생산성 측정을 이용한 서비스 기업의 성과평가모형에 관한 연구 김진한
  2. 한국경영과학회지 v.23 no.2 DEA를 이용한 손해보험회사의 효율성 측정에 관한 연구 민재형;김진한
  3. Journal of Econometrics v.6 Formulation and Estimation of Stochastic Frontier Production Function Models Aigner, D. J.;A. K. Lovell;P. Schmidt
  4. Management Science v.39 A Procedure for Ranking Efficient Units in Data Envelopment Analysis Andersen, P.;N. C. Petersen
  5. Management Science v.39 Maximum Likelihood, Consistency and DEA : A Statistical Foundation Banker, R. D.
  6. Management Science v.30 Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis Banker, R. D.;A. Charnes;W. W. Cooper
  7. The Journal of Productivity Analysis v.7 Hypothesis Tests Using Data Envelopment Analysis Banker, R. D.
  8. Annals of Operations Research v.45 An Envelopment-analysis Approach to Measuring the Managerial Efficiency of Banks Barr, R. S.;L. M. Seiford;T. F. Siems
  9. Journal of Econometrics v.46 Recent Developments in the Econometric Estimation of Frontiers Bauer, P. W.
  10. European Journal of Operational Research v.98 Efficiency of Financial Institutions : International Survey and Directions for Future Research Berger, A. N.;D. B. Humphrey
  11. Journal of Econometrics v.46 Deterministic Parametric and Nonparametric Estimation of Efficiency in Service Production : A Comparison Bjurek, H.;L. Hjalmarsson;F. R. Forsund
  12. Management Science v.42 Using Rank Statistics for Determining Programmatic Efficiency Differences in Data Envelopment Analysis Brockett, P. L.;B. Golany
  13. European Journal of Operational research v.2 Measuring the Efficiency of Decision Making Units Charnes, A.;W. W. Cooper;E. Rhodes
  14. Management Science v.27 Evaluating Program and Managerial Efficiency : An Application of Data Envelopment Analysis to Program Follow Through Charnes, A.;W. W. Cooper;E. Rhodes
  15. Data Envelopment Analysis : Theory, Methodology, and Applications Charnes, A.;W. W. Cooper;A. Y. Lewin(ed.);L. M. Seiford(ed.)
  16. European Journal of Operational Research v.59 Prioritization Models for Frontier Decision Making Units in DEA Cook, W. D.;M. Kress;L. M. Seiford
  17. Journal of Productivity Analysis v.9 Chance Constrained Programming Formulations for Stochastic Characterizations of Efficiency and Dominance in DEA Cooper, W. W.;Z. Huang;V. Lelas;S. Li;O. B. Olesen
  18. Journal of the Operational Research Society v.45 Efficiency and Cross-efficiency in DEA : Derivations, Meanings and Uses Doyle, J.;R. Green
  19. OMEGA v.22 Relative Efficiency in the Branch Network of a UK Bank : An Empirical Study Drake, L.;B. Howcroft
  20. An Introduction to the Bootstrap, Monographs on Statistics and Applied Probability no.57 Efron, B.;R. J. Tibshirani
  21. Production Frontiers Fare, R.;S. Grosskopf;C. A. Knox Lovell
  22. Journal of Productivity Analysis v.8 Boot-strapping Confidence Intervals for Linear Programming Efficiency Scores : With an Illustration Using Italian Banking Data Ferrier, G. D.;J. G. Hirschberg
  23. Working Paper No.39 Another Approach to Data Envelopment Analysis in Noisy Environments : DEA+ Gstach, D.
  24. The Fifth European Workshop on Efficiency and Productivity Measurement Monte Carlo Simulations of DEA Efficiency Measures and Hypothesis Tests Kittelsen, S. A. C.
  25. CORE Discussion Paper 9603 A Note on the Convergence of Nonparametric DEA Efficiency Estimates Kneip, A.;B. U. Park;Simar
  26. Managerial and Decision Economics v.14 Chance Constrained Data Envelopment Analysis Land, K. C.;C. A. K. Lovell;S. Thore
  27. Working Paper No.223 How to Bootstrap DEA Estimators : A Monte Carlo Comparison Lothgren, M.
  28. Working Paper No.78 Boot-strapping the DEA-based Malmquist Productivity Index Lothgren, M.;M. Tambour
  29. Data Envelopment Analysis : Theory, Methodology and Applications Stratified Models of Education Production Using Modified DEA and Regression Analysis Lovell, C. A. K.;L. C. Walters;L. L. Wood;Chames, A.(ed.);W. Cooper(ed.);A. Y. Lewin(ed.);L. M. Seiford(ed.)
  30. The Fifth European Workshop on Efficiency and Productivity Analysis Efficiency of Swedish Banking Industry : an Application of Data Envelopment Analysis Mlima, A. P.
  31. Sage University Paper Series on Quantitative Applications in the Social Sciences Boot-strapping : A Nonparametric Approach to Statistical Inference Mooney, C. Z.;R. D. Duval
  32. Management Science v.41 Chance-Constrained Efficiency Evaluation Olesen, O.;N. C. Petersen
  33. European Journal of Operational Research v.98 Efficiency Analysis in Banking Firms : An International Comparison Pastor, J. M.;F. Perez;J. Quesada
  34. Numerical Recipes in Fortran : The Art of Scientific Computing Press, W. H.;S. A. Teukolsky;W. T. Vettering;B. P. Flannery
  35. Economics Letters v.28 The Technical Efficiency of US Banks Rangan, N.;R. Grabowski;H. Y. Aly;C. Pasurka
  36. Research Papers No.273 Testing for the Nature of Returns to Scale in Data Envelopment Analysis Reed, L.;E. Thanassoulis
  37. European Journal of Operational Research v.71 A Goal-programming Method of Stochastic Allocative Data Envelopment Analysis Retzlaff-Roberts, D. L.;R. C. Morey
  38. Working Paper A Bibliography of Data Envelopment Analysis(1978-1996) Seiford, L. M.
  39. Journal of Banking and Finance v.9 Bank Branch Operating Efficiency : Evaluation with Data Envelopment Analysis Sherman, H. D.;F. Gold
  40. Institut de Statistique and CORE Discussion Paper Aspects of Statistical Analysis in DEA-Type Frontier Models Simar, L.
  41. Institut de Statistique and CORE Discussion Paper Sensitivity Analysis of Efficiency Scores : How to Boot-strap in Nonparametric Frontier Models Simar, L.;P. W. Wilson
  42. Computers and Operations Research v.21 Academic Departments Efficiency via DEA Sinuany-Stern, Z.;A. Mehrez;A. Barboy
  43. European Journal of Operational Research v.74 Stochastic Frontier Production Analysis Sueyoshi, T.
  44. OMEGA v.24 Improving Discernment in DEA using Profiling Tofallis, C.
  45. Journal of Productivity Analysis v.9 The Effect of Sample Size on the Mean Efficiency in DEA with an Application to Electricity Distribution in Australia, Sweden and New Zealand Zhang, Y.;R. Bartels