Research Article
BibTex RIS Cite

Year 2018, Volume: 47 Issue: 1, 129 - 144, 01.02.2018

İrmak Acarlar Sinem Tuğba Şahin Tekin H. Hasan Örkcü

Abstract

References

  • Andrews, D.F. & Pregibon, D. Finding outliers that matter, J. Roy. Statist. Soc., Ser. B. 40, 85-93, 1978.
  • Bal, H., Orkcu, H.H. & Çelebioglu, S. Improving the discrimination power and weights dispersion in the data envelopment analysis, Computers & Operations Research 37, 99-107, 2010.
  • Banker, R.D., Charnes, A. & Cooper, W.W. Some models for estimating technical and scale ineciencies in data envelopment analysis, Management Science 30(9), 1078-1092, 1984.
  • Belsley, D.A., Kuh, E. & Welsch, R.E. Regression diagnostics: identifying inuential data and sources of collinearity, Willey Series in Probability and Mathematical Statistics, New York., 1980.
  • Charnes, A., Cooper, W.W. & Rhodes, E. Measuring the eciency of decision making units, European Journal of Operational Research 2(6), 429-444, 1978.
  • Charnes, A., Cooper, W.W. & Rhodes, E. Evaluating program and managerial eciency: An application of data envelopment analysis to program follow through, Management Science 27(6), 668-697, 1981.
  • Chatterjee S. & Hadi A.S. Regression analysis by example, Willey Series in Probability and Mathematical Statistics, New Jersey., 2006.
  • Cook, R.D. Detection of inuential observations in linear regression, Technometrics 19(1), 15-18, 1977.
  • Cook, R.D. & Weisberg, S.Residuals and inuence in regression, Chapman and Hall, New York. , 1982.
  • Jahanshahloo, G.R., Hosseinzadeh, F., Shoja, N., Tohidi, G. & Razavyan, S. A method for detecting inuential observations in radial DEA models, Applied Mathematics and Computation 147, 415-421, 2004.
  • Liu, J.S., Lu, Y.Y., Lu, W.M. & Lin, B.J.Y. Data Envelopment Analysis 1978-2010: A citation-based literature survey, Omega 41, 3-15, 2013.
  • Pastor, J.T., Ruiz, J.L. & Sirvent, I. A statistical test for detecting inuential observation in DEA, European Journal of Operational Research 115, 542-545, 1999.
  • Ruiz, J.L. & Sirvent, I. Techniques for the assessment of inuence in DEA, European Journal of Operational Research 132, 390-399, 2001.
  • Song, M.L., Wang, S.H. & Liu, W. A two-stage DEA approach for environmental eciency measurement, Environmental Monitoring and Assessment, 186, 3041-3051, (2014).
  • Wilson, P.W. Detecting outliers in deterministic nonparametric frontier models with mul- tiple outputs, Journal of Business and Economic Statistics 11, 319-323, 1993.
  • Wilson, P.W. Detecting inuential observations in data envelopment analysis, Journal of Productivity Analysis 6, 27-45, 1995.
  • Witte, K.D. & Marques, R.C. Inuential observations in frontier models, a robust non- oriented approach to the water sector, Annals of Operations Research 181, 377-392, 2010.
  • Wu, J., Sun JS., Song ML. & Liang L. A ranking method for DMUs with interval data based on DEA cross-eciency evaluation and TOPSIS, Journal of Systems Science and Systems Engineering, 22 (2), 191-201, (2013).
  • Yang, Z., Wang, X. & Sun, D. Using the bootstrap method to detect inuential DMUs in data envelopment analysis, Annals of Operations Research 173, 89-103, 2010.

A modified test for detecting influential decision-making units in data envelopment analysis

Year 2018, Volume: 47 Issue: 1, 129 - 144, 01.02.2018

İrmak Acarlar Sinem Tuğba Şahin Tekin H. Hasan Örkcü

Abstract

In data analyses based on a deterministic or stochastic approach, using pre-study is very important to identify observations that are not suitable to data in general. Among such observations, those that have a high tendency to change results negatively are called influential observations. In this paper, we propose a new method to identify influential observations in Data Envelopment Analysis (DEA). Our method is a modified version of the one proposed by Pastor et al. [12]. Both methods are compared by using two well-known data sets and the outcomes are discussed. A comparative analysis indicates that our method is an effective alternative to the Pastor et al. [12] method to identify influential observations in DEA.

Keywords

Data Envelopment Analysis inuential observations super efficiency likelihood ratio test statistical hypothesis test

References

  • Andrews, D.F. & Pregibon, D. Finding outliers that matter, J. Roy. Statist. Soc., Ser. B. 40, 85-93, 1978.
  • Bal, H., Orkcu, H.H. & Çelebioglu, S. Improving the discrimination power and weights dispersion in the data envelopment analysis, Computers & Operations Research 37, 99-107, 2010.
  • Banker, R.D., Charnes, A. & Cooper, W.W. Some models for estimating technical and scale ineciencies in data envelopment analysis, Management Science 30(9), 1078-1092, 1984.
  • Belsley, D.A., Kuh, E. & Welsch, R.E. Regression diagnostics: identifying inuential data and sources of collinearity, Willey Series in Probability and Mathematical Statistics, New York., 1980.
  • Charnes, A., Cooper, W.W. & Rhodes, E. Measuring the eciency of decision making units, European Journal of Operational Research 2(6), 429-444, 1978.
  • Charnes, A., Cooper, W.W. & Rhodes, E. Evaluating program and managerial eciency: An application of data envelopment analysis to program follow through, Management Science 27(6), 668-697, 1981.
  • Chatterjee S. & Hadi A.S. Regression analysis by example, Willey Series in Probability and Mathematical Statistics, New Jersey., 2006.
  • Cook, R.D. Detection of inuential observations in linear regression, Technometrics 19(1), 15-18, 1977.
  • Cook, R.D. & Weisberg, S.Residuals and inuence in regression, Chapman and Hall, New York. , 1982.
  • Jahanshahloo, G.R., Hosseinzadeh, F., Shoja, N., Tohidi, G. & Razavyan, S. A method for detecting inuential observations in radial DEA models, Applied Mathematics and Computation 147, 415-421, 2004.
  • Liu, J.S., Lu, Y.Y., Lu, W.M. & Lin, B.J.Y. Data Envelopment Analysis 1978-2010: A citation-based literature survey, Omega 41, 3-15, 2013.
  • Pastor, J.T., Ruiz, J.L. & Sirvent, I. A statistical test for detecting inuential observation in DEA, European Journal of Operational Research 115, 542-545, 1999.
  • Ruiz, J.L. & Sirvent, I. Techniques for the assessment of inuence in DEA, European Journal of Operational Research 132, 390-399, 2001.
  • Song, M.L., Wang, S.H. & Liu, W. A two-stage DEA approach for environmental eciency measurement, Environmental Monitoring and Assessment, 186, 3041-3051, (2014).
  • Wilson, P.W. Detecting outliers in deterministic nonparametric frontier models with mul- tiple outputs, Journal of Business and Economic Statistics 11, 319-323, 1993.
  • Wilson, P.W. Detecting inuential observations in data envelopment analysis, Journal of Productivity Analysis 6, 27-45, 1995.
  • Witte, K.D. & Marques, R.C. Inuential observations in frontier models, a robust non- oriented approach to the water sector, Annals of Operations Research 181, 377-392, 2010.
  • Wu, J., Sun JS., Song ML. & Liang L. A ranking method for DMUs with interval data based on DEA cross-eciency evaluation and TOPSIS, Journal of Systems Science and Systems Engineering, 22 (2), 191-201, (2013).
  • Yang, Z., Wang, X. & Sun, D. Using the bootstrap method to detect inuential DMUs in data envelopment analysis, Annals of Operations Research 173, 89-103, 2010.
There are 19 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Statistics
Authors

İrmak Acarlar

Sinem Tuğba Şahin Tekin

H. Hasan Örkcü

Publication Date February 1, 2018
Published in Issue Year 2018 Volume: 47 Issue: 1

Cite

APA Acarlar, İ., Şahin Tekin, S. T., & Örkcü, H. H. (2018). A modified test for detecting influential decision-making units in data envelopment analysis. Hacettepe Journal of Mathematics and Statistics, 47(1), 129-144.
AMA Acarlar İ, Şahin Tekin ST, Örkcü HH. A modified test for detecting influential decision-making units in data envelopment analysis. Hacettepe Journal of Mathematics and Statistics. February 2018;47(1):129-144.
Chicago Acarlar, İrmak, Sinem Tuğba Şahin Tekin, and H. Hasan Örkcü. “A modified Test for Detecting Influential Decision-Making Units in Data Envelopment Analysis”. Hacettepe Journal of Mathematics and Statistics 47, no. 1 (February 2018): 129-44.
EndNote Acarlar İ, Şahin Tekin ST, Örkcü HH (February 1, 2018) A modified test for detecting influential decision-making units in data envelopment analysis. Hacettepe Journal of Mathematics and Statistics 47 1 129–144.
IEEE İ. Acarlar, S. T. Şahin Tekin, and H. H. Örkcü, “A modified test for detecting influential decision-making units in data envelopment analysis”, Hacettepe Journal of Mathematics and Statistics, vol. 47, no. 1, pp. 129–144, 2018.
ISNAD Acarlar, İrmak et al. “A modified Test for Detecting Influential Decision-Making Units in Data Envelopment Analysis”. Hacettepe Journal of Mathematics and Statistics 47/1 (February 2018), 129-144.
JAMA Acarlar İ, Şahin Tekin ST, Örkcü HH. A modified test for detecting influential decision-making units in data envelopment analysis. Hacettepe Journal of Mathematics and Statistics. 2018;47:129–144.
MLA Acarlar, İrmak et al. “A modified Test for Detecting Influential Decision-Making Units in Data Envelopment Analysis”. Hacettepe Journal of Mathematics and Statistics, vol. 47, no. 1, 2018, pp. 129-44.
Vancouver Acarlar İ, Şahin Tekin ST, Örkcü HH. A modified test for detecting influential decision-making units in data envelopment analysis. Hacettepe Journal of Mathematics and Statistics. 2018;47(1):129-44.

https://dergipark.org.tr/en/pub/hujms