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Data envelopment analysis in satisfaction survey research: sample size problem

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  • Jesús Alberto Tapia
  • Bonifacio Salvador
  • Jesús María Rodríguez

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.

Suggested Citation

  • Jesús Alberto Tapia & Bonifacio Salvador & Jesús María Rodríguez, 2018. "Data envelopment analysis in satisfaction survey research: sample size problem," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 69(7), pages 1096-1104, July.
    • Handle: RePEc:taf:tjorxx:v:69:y:2018:i:7:p:1096-1104
    DOI: 10.1057/s41274-017-0290-8
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    Cited by:

    1. Jesús A. Tapia & Bonifacio Salvador, 2022. "Data envelopment analysis efficiency in the public sector using provider and customer opinion: An application to the Spanish health system," Health Care Management Science, Springer, vol. 25(2), pages 333-346, June.
    2. Jing Zhao & Linshen Wang & Qing Ye & Qiang Zhao & Shutong Wei, 2022. "Association of Environmental Elements with Respondents’ Behaviors in Open Spaces Using the Direct Gradient Analysis Method: A Case Study of Jining, China," IJERPH, MDPI, vol. 19(14), pages 1-15, July.

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