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Data Envelopment Analysis for Composite Indicators: A Multiple Layer Model

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  • Yongjun Shen
  • Elke Hermans
  • Tom Brijs
  • Geert Wets

Abstract

The development of a composite indicator (CI) over a set of individual indicators is worthwhile in case the methodological aggregation process is sound and the results are clear. It can then be used as a powerful tool for performance evaluation, benchmarking, and decision making. In this respect, data envelopment analysis (DEA), as a self appraisal technique, has recently received considerable attention in the construction of CIs for policy analysis and public communication. However, due to the ever increasing complexity of numerous performance evaluation problems, more and more potential indicators might be developed to represent an evaluation activity in a more comprehensive way. These indicators might also belong to different categories and further be linked to one another constituting a multilayer hierarchical structure. Simply treating all the indicators to be in the same layer as is the case in the basic DEA model thereby ignores the information on their hierarchical structure, and further leads up to weak discriminating power and unrealistic weight allocations. To overcome this limitation, a multiple layer DEA-based CI model is developed in this study to embody a hierarchical structure of indicators in the DEA framework, and both its primal and dual form are realized. The proposed model is illustrated by constructing a composite road safety performance index for a set of European countries. Copyright Springer Science+Business Media Dordrecht 2013

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  • Yongjun Shen & Elke Hermans & Tom Brijs & Geert Wets, 2013. "Data Envelopment Analysis for Composite Indicators: A Multiple Layer Model," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 114(2), pages 739-756, November.
    • Handle: RePEc:spr:soinre:v:114:y:2013:i:2:p:739-756
    DOI: 10.1007/s11205-012-0171-0
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    14. Vidoli, F.; & Fusco, E.; & Pignataro, G.; & Guccio, C.;, 2023. "Multi-directional Robust Benefit of the Doubt model: a comprehensive measure for the quality of health care in OECD countries," Health, Econometrics and Data Group (HEDG) Working Papers 23/14, HEDG, c/o Department of Economics, University of York.
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    20. Kadziński, Miłosz & Labijak, Anna & Napieraj, Małgorzata, 2017. "Integrated framework for robustness analysis using ratio-based efficiency model with application to evaluation of Polish airports," Omega, Elsevier, vol. 67(C), pages 1-18.
    21. José Antonio Rodríguez Martín & José María Martín Martín & Juan Dios Jiménez Aguilera, 2018. "A Synthetic Indicator of Progress Towards the Millennium Development Goals 2, 3 and 4 in the Least Developed Countries (LDCs) of Asia," Applied Research in Quality of Life, Springer;International Society for Quality-of-Life Studies, vol. 13(1), pages 1-19, March.
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