Data envelopment analysis in satisfaction survey research: sample size problem

Tapia, Jesús A.; Salvador, Bonifacio; Rodríguez, Jesús María

doi:10.1057/s41274-017-0290-8

Cited by 3 publications

(5 citation statements)

References 18 publications

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“…Interviews were conducted until the number of valid questionnaires reached 30 for each sample point, resulting in a total of 360 questionnaires being collected. This is because, in statistical research, the sample mean generally follows a normal distribution if the sample size exceeds 30, according to the central limit theorem [ 21 ].…”

Section: Methodsmentioning

confidence: 99%

Association of Environmental Elements with Respondents’ Behaviors in Open Spaces Using the Direct Gradient Analysis Method: A Case Study of Jining, China

Jing

Wang

et al. 2022

IJERPH

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Following rapid urban development, higher demands are now being placed on urban open spaces in China, and the relationship between environmental elements and respondents’ behaviors in open spaces has become a common concern for researchers. Current research using geographic information systems has yielded macroscopic portraits of the behavioral trends and outcomes of research subjects, but evaluating their actual needs is complex. This paper proposes a new method to analyze the relationship between open spaces and respondents’ behaviors from a detailed perspective. Direct gradient analysis was employed with stratified sampling to select sample points in open spaces. Environment quality, ancillary facilities, and canal culture were selected as subjective evaluation factors. The greatest advantage of the proposed procedure is that it produces a ranking diagram, which compensates for the shortcomings of research methods that cannot directly express the actual needs related to respondents’ behaviors. From a case study in Jining, China, a location’s environmental quality and ancillary facilities were found to have the greatest influence on the behaviors of those using open spaces. Finally, strategies for improving environmental quality in open spaces are proposed.

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Section: Methodsmentioning

confidence: 99%

Association of Environmental Elements with Respondents’ Behaviors in Open Spaces Using the Direct Gradient Analysis Method: A Case Study of Jining, China

Jing

Wang

et al. 2022

IJERPH

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“…In recent years, some approaches consider the opinion of the customer to be crucial for measuring DEA efficiency in public services ( [5,16]). Consumer satisfaction-opinion surveys are a common tool for building opinion indexes, which measure the quality of the service, and to be used as output variables in DEA ( [20,27,31,32,35,40,41] and [42]).…”

Section: Introductionmentioning

confidence: 99%

“…One way to measure the service quality offered is with satisfaction-opinion indexes obtained through survey samples carried out with the providers. In Tapia et al [40][41][42] the protagonism of the opinion of the providers is not considered, that is, the inputs are deterministic and only the outputs are estimated using a customer sample. Introducing the opinion-satisfaction of the providers as estimated indexes increases the field of application of this work, where opinion-satisfaction indexes, estimated from a sample of providers (inputs) and a sample of customers (outputs), are used as information to measure the DEA efficiency of the public services.…”

Section: Introductionmentioning

confidence: 99%

“…The efficiency obtained with DEA models, using the opinion indexes estimated with the survey answer of samples of providers and consumers as data, will be an estimation of the population DEA efficiency. This population efficiency is an unknown non-evaluable parameter, since it would be necessary to use the indexes obtained with the opinion of all the customers and all the providers of all the services as data and this is a census of the entire population [40]. This statistical analysis of the DEA efficiency gives rise to the problem of determining the sample size of customers and providers needed to guarantee an a priori fixed accuracy in the estimation, with confidence interval, of the DEA efficiency of each public service, which is the object of our investigation.…”

Section: Introductionmentioning

confidence: 99%

“…Nevertheless, they do not propose a solution to the necessary sample size in order to control the error in the measures of efficiency. The problem of calculating the sample size of customers necessary when the objective is to estimate, with a fixed precision in the estimate error, the population efficiency in a finite set of public services using stochastic data output (customer opinionsatisfaction indexes) and known (non-stochastic) data input was resolved in Tapia et al [40,42].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Data envelopment analysis efficiency in the public sector using provider and customer opinion: An application to the Spanish health system

Tapia

Salvador

2022

Health Care Manag Sci

Self Cite

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Measuring the relative efficiency of a finite fixed set of service-producing units (hospitals, state services, libraries, banks,...) is an important purpose of Data Envelopment Analysis (DEA). We illustrate an innovative way to measure this efficiency using stochastic indexes of the quality from these services. The indexes obtained from the opinion-satisfaction of the customers are estimators, from the statistical view point, of the quality of the service received (outputs); while, the quality of the offered service is estimated with opinion-satisfaction indexes of service providers (inputs). The estimation of these indicators is only possible by asking a customer and provider sample, in each service, through surveys. The technical efficiency score, obtained using the classic DEA models and estimated quality indicators, is an estimator of the unknown population efficiency that would be obtained if in each one of the services, interviews from all their customers and all their providers were available. With the object of achieving the best precision in the estimate, we propose results to determine the sample size of customers and providers needed so that with their answers can achieve a fixed accuracy in the estimation of the population efficiency of these service-producing units through the use of a novel one bootstrap confidence interval. Using this bootstrap methodology and quality opinion indexes obtained from two surveys, one of doctors and another of patients, we analyze the efficiency in the health care system of Spain.

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Data envelopment analysis with estimated output data: Confidence intervals efficiency

2020

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Data envelopment analysis in satisfaction survey research: sample size problem

Cited by 3 publications

References 18 publications

Association of Environmental Elements with Respondents’ Behaviors in Open Spaces Using the Direct Gradient Analysis Method: A Case Study of Jining, China

Association of Environmental Elements with Respondents’ Behaviors in Open Spaces Using the Direct Gradient Analysis Method: A Case Study of Jining, China

Data envelopment analysis efficiency in the public sector using provider and customer opinion: An application to the Spanish health system

Data envelopment analysis with estimated output data: Confidence intervals efficiency

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