Using Data Envelopment to Estimate Hospital Efficiencies – A Teaching Case

Sebastian Kohl
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Abstract

This teaching case has the intention to guide through the conduction of a meaningful Data Envelopment Analysis (DEA) in the healthcare sector. A data sample on German hospitals is provided and used throughout different tasks. Apart from the implementation of the DEA model itself, the study also covers areas of pre- and post-processing. As a result, the user of the case study is confronted with common pitfalls and learns to work with procedures, which have emerged as gold standards. The participant is encouraged to use methods for the detection of outliers and for the treatment of missing values to cover common issues in this field. The comparison of different DEA models enhances the understanding of the mechanics of DEA, especially the relevance of slacks for the analysis. In including quality data into the study, another essential feature for hospital analyses is addressed.

With the Helmsman DEA, an interesting, however, rather unfamiliar procedure is presented to achieve a meaningful inclusion of the quality data into the analysis. Using bootstrapping as a subsequent method completes the study. Finally, a recommendation for the grading of the tasks is given. The results and the source code to all implementations are provided.
用数据包络评估医院效率——一个教学案例
本教学案例旨在指导在医疗保健部门进行有意义的数据包络分析(DEA)。提供了德国医院的数据样本,并在不同的任务中使用。除了DEA模型本身的实现外,研究还涵盖了预处理和后处理领域。因此,案例研究的用户将面临常见的陷阱,并学会使用已成为黄金标准的过程。鼓励参与者使用检测异常值和处理缺失值的方法来涵盖该领域的共同问题。通过对不同DEA模型的比较,加深了对DEA机制的理解,特别是对分析的相关性。在将质量数据纳入研究中,解决了医院分析的另一个基本特征。使用舵手DEA,提出了一个有趣的,然而,相当陌生的程序,以实现有意义的质量数据纳入分析。使用bootstrapping作为后续方法完成了研究。最后,给出了作业评分的建议。提供了所有实现的结果和源代码。
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