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A Study on Discrimination Evaluation of DEA Models

DEA 모형의 변별력 평가에 관한 연구

  • 박만희 (부산가톨릭대학교 경영학과)
  • Received : 2016.10.05
  • Accepted : 2016.10.25
  • Published : 2017.01.28

Abstract

This study presented the new evaluation index which can evaluate the discrimination of DEA models. To evaluate the discrimination of DEA models, data were analyzed using importance index as suggested in previous study and the coefficient of variation as suggested in this study for the discrimination evaluation. This study selected the CCR-DEA, BCC-DEA, entropy, bootstrap, super efficiency, and cross efficiency DEA model for the discrimination evaluation and accomplished empirical analysis. In order to grasp the rank correlation of the models, this study implemented the rank correlation analysis between the efficiency of CCR model and BCC model and entropy, bootstrap, super efficiency, and efficiency of the cross efficiency model. The obtained results of this study are as follows. First, the discrimination rank of models using the importance index and the coefficient of variation was shown to be identical. Therefore, the coefficient of variation can be used the discrimination evaluation index of DEA model. Second, the discrimination of the super efficiency model was found to be the highest rank among 4 models according to the analysis of this present study. Third, the highest rank correlation with CCR model was the super efficiency model. In addition, the super efficiency model was found to be the highest rank correlation with BCC model.

본 연구에서는 변동계수를 이용하여 DEA 모형의 변별력 평가에 적용할 수 있는 새로운 평가기준을 제시하였다. 변별력 평가를 위해 기존 연구에서 제시한 중요도와 본 연구에서 제안한 변동계수를 이용하여 변별력을 분석하였다. 다양한 DEA 모형들 중 변별력 평가를 위해 CCR-DEA, BCC-DEA, entropy, bootstrap, super efficiency, cross efficiency DEA 모형을 선정하고 실증분석을 실시하였다. 모형들의 순위상관관계를 파악하기 위해서 CCR 모형과 BCC 모형의 효율성 값과 entropy, bootstrap, super efficiency, cross efficiency 모형의 효율성 값들 간에 순위상관분석을 실시하였다. 본 연구를 통해 도출된 연구결과를 요약하면 다음과 같다. 첫째, 중요도와 변동계수를 이용한 모형들의 변별력 순위가 동일한 것으로 분석되어 변동계수를 DEA 모형의 변별력 평가기준으로 이용할 수 있다는 것이다. 둘째, 본 연구의 실증분석 결과에 따르면 4개 모형 중 super efficiency 모형이 변별력이 가장 높은 것으로 분석되었다. 셋째, CCR 모형과 순위상관관계가 가장 높은 모형은 super efficiency 모형으로 나타났고, BCC 모형과 순위상관관계가 가장 높은 모형도 super efficiency 모형으로 분석되었다.

Keywords

References

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