Data envelopment analysis in satisfaction survey research: sample size problem

Jesús Alberto Tapia, Bonifacio Salvador and Jesús María Rodríguez

Journal of the Operational Research Society, 2018, vol. 69, issue 7, 1096-1104

Abstract: Data envelopment analysis (DEA) frequently uses stochastic input and/or output data. If these data are estimated from a sample in each decision-making unit, the DEA efficiency will be an estimation of the obtained efficiency if the population information is available. We propose a methodology to determine the relationship between the sample size and the estimation error of the efficiency in the presence of output data estimated with a sample. The practical utility of this result is to evaluate, with fixed precision, the efficiency of a set of making units, taking deterministic inputs that explain the opinion–satisfaction of the unit users, whose opinion is known through a sampling survey. We illustrate how to apply the proposed research with a case study.

Date: 2018
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DOI: 10.1057/s41274-017-0290-8

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