Data envelopment analysis in satisfaction survey research: sample size problem
研究了在满意度调查中,当输出数据来自样本时,如何确定样本量与效率估计误差之间的关系,帮助在固定精度下评估决策单元的效率。
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.