TWO STATISTICAL TESTS FOR OUTLIER IDENTIFICATION IN NON-PARAMETRIC PERFORMANCE MEASUREMENT

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KHOUNSIAVASH M.; KAZEMI MATIN R.; KHODABIN M.

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Paper Information

Journal: Journal of Operational Research in its Applications Year:2016 | Volume:13 | Issue:2 (49) Page(s): 113-121

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Title

TWO STATISTICAL TESTS FOR OUTLIER IDENTIFICATION IN NON-PARAMETRIC PERFORMANCE MEASUREMENT

Author(s)

KHOUNSIAVASH M. | KAZEMI MATIN R. | KHODABIN M. | Issue Writer Certificate

Keywords

DATA ENVELOPMENT ANALYSIS (DEA)Q3

OUTLIERQ2

EFFICIENCYQ2

CHEBYSHEV'S INEQUALITY TESTQ2

COOK STATISTICSQ2

Abstract

In data envelopment analysis in which the comparison between a unit in relation to the antecedent set is used to detect the proportional inefficiency and providing an optimal model, detecting OUTLIERs is critical for achieving accurate results. In these deterministic frontier models, statistical tests are now applied to detect such OUTLIERs. This paper deals with introducing two statistical tests for detecting OUTLIERs in data envelopment analysis. In the presented methods, each observation is deleted from the sample once and the resulting DEA model is solved, leading to a distribution of EFFICIENCY estimates before and after the elimination. Based on the achieved distribution, two statistical tests are then designed to identify the potential OUTLIER (s).We illustrate the method through a real data set. The method could be used in a first step before using any frontier estimation.

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References

REALLOCATION OF RESOURCES THROUGH PRESERVING THE STABILITY OF EFFICIENT FRONTIERS IN REGIONS

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APA: Copy

KHOUNSIAVASH, M., KAZEMI MATIN, R., & KHODABIN, M.. (2016). TWO STATISTICAL TESTS FOR OUTLIER IDENTIFICATION IN NON-PARAMETRIC PERFORMANCE MEASUREMENT. JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS), 13(2 (49)), 113-121. SID. https://sid.ir/paper/164716/en

Vancouver: Copy

KHOUNSIAVASH M., KAZEMI MATIN R., KHODABIN M.. TWO STATISTICAL TESTS FOR OUTLIER IDENTIFICATION IN NON-PARAMETRIC PERFORMANCE MEASUREMENT. JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS)[Internet]. 2016;13(2 (49)):113-121. Available from: https://sid.ir/paper/164716/en

IEEE: Copy

M. KHOUNSIAVASH, R. KAZEMI MATIN, and M. KHODABIN, “TWO STATISTICAL TESTS FOR OUTLIER IDENTIFICATION IN NON-PARAMETRIC PERFORMANCE MEASUREMENT,” JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS), vol. 13, no. 2 (49), pp. 113–121, 2016, [Online]. Available: https://sid.ir/paper/164716/en

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