Many countries have focused on the improvement of education system performance. Small number of studies consider system of a country as unit of assessment where indicators represent all levels of education system. In the paper, we propose the methodology for the performance analysis of education systems as a whole hybridizing Data Envelopment Analysis and Principal Component Analysis. Its applicability is illustrated by the analysis of the data collected for 29 European countries. In the analysis we used publicly available data from EUROSTAT and OECD which European Commission uses for the performance monitoring of education in European Union. No prior assumptions were made or expert judgements included. We demonstrated good performance of the method on limited data set. The proposed methodology of hybrid Data Envelopment Analysis and Principal Component Analysis allows researchers analyse education systems quantitatively. The recommendations for improvements and assessment of real world education systems should be based on the analysis of a sufficiently large data set comprehensively representing the considered education systems.

中文翻译：

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通过PCA-DEA分析欧洲国家的教育系统绩效

许多国家都致力于改善教育体系的绩效。少数研究认为一个国家的系统是评估的单位，其中指标代表了教育系统的各个层面。在本文中，我们提出了将数据包络分析和主成分分析相结合的整体教育系统绩效分析的方法。通过对29个欧洲国家/地区收集的数据进行分析，说明了其适用性。在分析中，我们使用了来自EUROSTAT和OECD的公开数据，欧洲委员会将其用于欧盟的教育绩效监控。之前没有做出任何假设，也没有专家的判断。我们在有限的数据集上证明了该方法的良好性能。提出的混合数据包络分析和主成分分析的方法论使研究人员可以定量分析教育系统。改进和评估现实世界教育系统的建议应基于对足以代表所考虑的教育系统的足够大的数据集的分析。