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Yıl 2018, Cilt: 47 Sayı: 1, 129 - 144, 01.02.2018

İrmak Acarlar Sinem Tuğba Şahin Tekin H. Hasan Örkcü

Öz

Kaynakça

  • 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

Yıl 2018, Cilt: 47 Sayı: 1, 129 - 144, 01.02.2018

İrmak Acarlar Sinem Tuğba Şahin Tekin H. Hasan Örkcü

Öz

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.

Anahtar Kelimeler

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

Kaynakça

  • 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.
Toplam 19 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm İstatistik
Yazarlar

İrmak Acarlar

Sinem Tuğba Şahin Tekin

H. Hasan Örkcü

Yayımlanma Tarihi 1 Şubat 2018
Yayımlandığı Sayı Yıl 2018 Cilt: 47 Sayı: 1

Kaynak Göster

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. Şubat 2018;47(1):129-144.
Chicago Acarlar, İrmak, Sinem Tuğba Şahin Tekin, ve H. Hasan Örkcü. “A modified Test for Detecting Influential Decision-Making Units in Data Envelopment Analysis”. Hacettepe Journal of Mathematics and Statistics 47, sy. 1 (Şubat 2018): 129-44.
EndNote Acarlar İ, Şahin Tekin ST, Örkcü HH (01 Şubat 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, ve H. H. Örkcü, “A modified test for detecting influential decision-making units in data envelopment analysis”, Hacettepe Journal of Mathematics and Statistics, c. 47, sy. 1, ss. 129–144, 2018.
ISNAD Acarlar, İrmak vd. “A modified Test for Detecting Influential Decision-Making Units in Data Envelopment Analysis”. Hacettepe Journal of Mathematics and Statistics 47/1 (Şubat 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 vd. “A modified Test for Detecting Influential Decision-Making Units in Data Envelopment Analysis”. Hacettepe Journal of Mathematics and Statistics, c. 47, sy. 1, 2018, ss. 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