Testing over-representation of observations in subsets of a DEA technology
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Testing over-representation of observations in subsets of a DEA technology. / Asmild, Mette; Hougaard, Jens Leth; Olesen, Ole Bent.
In: European Journal of Operational Research, Vol. 230, No. 1, 2013, p. 88-96.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - Testing over-representation of observations in subsets of a DEA technology
AU - Asmild, Mette
AU - Hougaard, Jens Leth
AU - Olesen, Ole Bent
PY - 2013
Y1 - 2013
N2 - This paper proposes a test for whether data are over-represented in a given production zone, i.e. a subset of a production possibility set which has been estimated using the non-parametric Data Envelopment Analysis (DEA) approach. A binomial test is used that relates the number of observations inside such a zone to a discrete probability weighted relative volume of that zone. A Monte Carlo simulation illustrates the performance of the proposed test statistic and provides good estimation of both facet probabilities and the assumed common inefficiency distribution in a three dimensional input space. Potential applications include tests for whether benchmark units dominate more (or less) observations than expected.
AB - This paper proposes a test for whether data are over-represented in a given production zone, i.e. a subset of a production possibility set which has been estimated using the non-parametric Data Envelopment Analysis (DEA) approach. A binomial test is used that relates the number of observations inside such a zone to a discrete probability weighted relative volume of that zone. A Monte Carlo simulation illustrates the performance of the proposed test statistic and provides good estimation of both facet probabilities and the assumed common inefficiency distribution in a three dimensional input space. Potential applications include tests for whether benchmark units dominate more (or less) observations than expected.
U2 - 10.1016/j.ejor.2013.03.038
DO - 10.1016/j.ejor.2013.03.038
M3 - Journal article
VL - 230
SP - 88
EP - 96
JO - European Journal of Operational Research
JF - European Journal of Operational Research
SN - 0377-2217
IS - 1
ER -
ID: 45558921