Data envelopment analysis efficiency of public services : bootstrap simultaneous confidence region
Tapia, Jesús A. (Universidad de Valladolid. Departamento de Estadística e Investigación Operativa)
Salvador González, Bonifacio (Universidad de Valladolid. Departamento de Estadística e Investigación Operativa)
Rodríguez, Jesús M. (Universidad de Valladolid. Departamento de Estadística e Investigación Operativa)

Date:	2019
Abstract:	Public services, such as higher education, medical services, libraries or public administration offices, provide services to their customers. To obtain opinion-satisfaction indices of customers, it would be necessary to survey all the customers of the service (census), which is impossible. What is possible is to estimate the indices by surveying a random customer sample. The efficiency obtained with the classic data envelopment analysis models, considering the opinion indices of the customers of the public service as output data estimated with a user sample, will be an estimation of the obtained efficiency if the census is available. This paper proposes a bootstrap methodology to build a confidence region to simultaneously estimate the population data envelopment analysis efficiency score vector of a set of public service-producing units, with a fixed confidence level and using deterministic input data and estimated customer opinion indices as output data. The usefulness of the result is illustrated by describing a case study comparing the efficiency of libraries.
Rights:	Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, i la comunicació pública de l'obra, sempre que no sigui amb finalitats comercials, i sempre que es reconegui l'autoria de l'obra original. No es permet la creació d'obres derivades.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Data envelopment analysis ; Sampling survey research ; Public sector ; Bootstrap ; Simultaneous confidence region
Published in:	SORT : statistics and operations research transactions, Vol. 43 Núm. 2 (July-December 2019) , p. 337-354, ISSN 2013-8830

Adreça alternativa: https://raco.cat/index.php/SORT/article/view/361442
DOI: 10.2436/20.8080.02.91

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