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Data Envelopment Analysis Approach to Two-Group Classification Problems and an Experimental Comparison with some Classification Models

Year 2007, Volume: 36 Issue: 2, 169 - 180, 01.02.2007

References

  • Anderson, T. W. An Introduction to Multivariate Statistical Analysis (Wiley, New York, 1984)
  • Bajgier, S. M. and Hill, A. V. An experimental comparison of statistical and linear program- ming approaches to the discriminant problem, Decision Sciences 13, 604–618, 1982.
  • Charnes A, Cooper W. W. and Rhodes E. Measuring the efficiency of decision making units, European Journal of Operational Research 2, 429–444, 1978.
  • Cooper, W. W., Seiford, L. M. and Tone, K. Data Envelopment Analysis (Kluwer Academic Publishers, Boston, 2000).
  • Farrell M. J. The measurement of productivity efficiency, Journal of Royal Statistical Society, Series A, CXX, 253–287, 1957.
  • Fred, N. and Glover, F. Simple but powerful goal programming formulations for the statistical discriminant problem, European Journal of Operational Research 7, 44–60, 1981.
  • Fred, N. and Glover, F. A linear programming approach to the discriminant problem, Deci- sion Sciences 12, 68–74, 1981.
  • Fred, N. and Glover, F. Evaluating alternative linear programming models to solve the two- group discriminant problem, Decision Sciences 17, 589–585, 1986.
  • Glen, J. J. A comparison of standard and two-stage mathematical programming discriminant analysis methods, European Journal of Operational Research 171, 496–515, 2006.
  • Glover, F. Improved linear programming models for discriminant analysis, Decision Sciences 21, 771–785, 1990.
  • Koehler, G. J. and Erenguc, S. S. Minimizing misclassifications in linear discriminant anal- ysis, Decision Sciences 21, 63–85, 1990.
  • Lam, KF., Choo, E. U. and Moy, J. W. Minimizing deviations from the group mean: A new linear programming approach for The two-group classification problem, European Journal of Operational Research 88, 358–367, 1996. [13] Lam, KF. and Moy, J. W. Improved linear programming formulations for the multi-group discriminant problem, Journal of Operational Research Society 47, 1526–1529, 1996.
  • Lam, KF. and Moy, J. W. An experimental comparison of some recently developed linear programming approaches to the discriminant problem, Computers and Operations Research 24(7), 593–599, 1997.
  • Lam, KF. and Moy, J. W. Combining discriminant methods in solving classification prob- lems in two-group discriminant analysis, European Journal of Operational Research 138, 294–301, 2002.
  • Ragsdale, C. T. and Stam, A. Mathematical programming formulations for the discriminant problem: An old dog does new tricks, Decision Sciences 22, 296–307, 1991.
  • Retzlaff-Roberts, D. L. Relating discriminant analysis and data envelopment analysis to one another, European Journal of Operational Research 23, 311–322, 1996.

Data Envelopment Analysis Approach to Two-Group Classification Problems and an Experimental Comparison with some Classification Models

Year 2007, Volume: 36 Issue: 2, 169 - 180, 01.02.2007

References

  • Anderson, T. W. An Introduction to Multivariate Statistical Analysis (Wiley, New York, 1984)
  • Bajgier, S. M. and Hill, A. V. An experimental comparison of statistical and linear program- ming approaches to the discriminant problem, Decision Sciences 13, 604–618, 1982.
  • Charnes A, Cooper W. W. and Rhodes E. Measuring the efficiency of decision making units, European Journal of Operational Research 2, 429–444, 1978.
  • Cooper, W. W., Seiford, L. M. and Tone, K. Data Envelopment Analysis (Kluwer Academic Publishers, Boston, 2000).
  • Farrell M. J. The measurement of productivity efficiency, Journal of Royal Statistical Society, Series A, CXX, 253–287, 1957.
  • Fred, N. and Glover, F. Simple but powerful goal programming formulations for the statistical discriminant problem, European Journal of Operational Research 7, 44–60, 1981.
  • Fred, N. and Glover, F. A linear programming approach to the discriminant problem, Deci- sion Sciences 12, 68–74, 1981.
  • Fred, N. and Glover, F. Evaluating alternative linear programming models to solve the two- group discriminant problem, Decision Sciences 17, 589–585, 1986.
  • Glen, J. J. A comparison of standard and two-stage mathematical programming discriminant analysis methods, European Journal of Operational Research 171, 496–515, 2006.
  • Glover, F. Improved linear programming models for discriminant analysis, Decision Sciences 21, 771–785, 1990.
  • Koehler, G. J. and Erenguc, S. S. Minimizing misclassifications in linear discriminant anal- ysis, Decision Sciences 21, 63–85, 1990.
  • Lam, KF., Choo, E. U. and Moy, J. W. Minimizing deviations from the group mean: A new linear programming approach for The two-group classification problem, European Journal of Operational Research 88, 358–367, 1996. [13] Lam, KF. and Moy, J. W. Improved linear programming formulations for the multi-group discriminant problem, Journal of Operational Research Society 47, 1526–1529, 1996.
  • Lam, KF. and Moy, J. W. An experimental comparison of some recently developed linear programming approaches to the discriminant problem, Computers and Operations Research 24(7), 593–599, 1997.
  • Lam, KF. and Moy, J. W. Combining discriminant methods in solving classification prob- lems in two-group discriminant analysis, European Journal of Operational Research 138, 294–301, 2002.
  • Ragsdale, C. T. and Stam, A. Mathematical programming formulations for the discriminant problem: An old dog does new tricks, Decision Sciences 22, 296–307, 1991.
  • Retzlaff-Roberts, D. L. Relating discriminant analysis and data envelopment analysis to one another, European Journal of Operational Research 23, 311–322, 1996.
There are 16 citations in total.

Details

Primary Language Turkish
Journal Section Mathematics
Authors

H. Bal This is me

H. H. Örkcu This is me

Publication Date February 1, 2007
Published in Issue Year 2007 Volume: 36 Issue: 2

Cite

APA Bal, H., & Örkcu, H. H. (2007). Data Envelopment Analysis Approach to Two-Group Classification Problems and an Experimental Comparison with some Classification Models. Hacettepe Journal of Mathematics and Statistics, 36(2), 169-180.
AMA Bal H, Örkcu HH. Data Envelopment Analysis Approach to Two-Group Classification Problems and an Experimental Comparison with some Classification Models. Hacettepe Journal of Mathematics and Statistics. February 2007;36(2):169-180.
Chicago Bal, H., and H. H. Örkcu. “Data Envelopment Analysis Approach to Two-Group Classification Problems and an Experimental Comparison With Some Classification Models”. Hacettepe Journal of Mathematics and Statistics 36, no. 2 (February 2007): 169-80.
EndNote Bal H, Örkcu HH (February 1, 2007) Data Envelopment Analysis Approach to Two-Group Classification Problems and an Experimental Comparison with some Classification Models. Hacettepe Journal of Mathematics and Statistics 36 2 169–180.
IEEE H. Bal and H. H. Örkcu, “Data Envelopment Analysis Approach to Two-Group Classification Problems and an Experimental Comparison with some Classification Models”, Hacettepe Journal of Mathematics and Statistics, vol. 36, no. 2, pp. 169–180, 2007.
ISNAD Bal, H. - Örkcu, H. H. “Data Envelopment Analysis Approach to Two-Group Classification Problems and an Experimental Comparison With Some Classification Models”. Hacettepe Journal of Mathematics and Statistics 36/2 (February 2007), 169-180.
JAMA Bal H, Örkcu HH. Data Envelopment Analysis Approach to Two-Group Classification Problems and an Experimental Comparison with some Classification Models. Hacettepe Journal of Mathematics and Statistics. 2007;36:169–180.
MLA Bal, H. and H. H. Örkcu. “Data Envelopment Analysis Approach to Two-Group Classification Problems and an Experimental Comparison With Some Classification Models”. Hacettepe Journal of Mathematics and Statistics, vol. 36, no. 2, 2007, pp. 169-80.
Vancouver Bal H, Örkcu HH. Data Envelopment Analysis Approach to Two-Group Classification Problems and an Experimental Comparison with some Classification Models. Hacettepe Journal of Mathematics and Statistics. 2007;36(2):169-80.