基于加权主成分分析的中国上市公司的综合评价

Comprehensive Evaluation of China's Listed Companies Based on Weighted Principal Component Analysis

基于主成分分析法建立了加权主成分分析法数学模型;运用加权主成分分析对中国上市公司进行综合评价,并通过选取2015年部分上市公司第一季度报告提供的财务指标进行了实证分析。评价结果表明:利用加权主成分分析法对上市公司进行综合评价,可以将主成分分析法的客观分析和层次分析法的主观分析有机结合起来,以得出结合客观分析与主观评价的相对可靠的结论。与用主成分分析法评价的结果相比,其评价结果更加合理、更加符合上市公司的实际经营水平,可以给广大证券投资者一个更加可靠的投资参考。

The mathematical model of the weighted principal component analysis was established basedon the principal component analysis. Using the weighted principal component analysis, the comprehen-sive evaluation of China,s listed companies was conducted and the empirical analysis on the financial indi-cators was carried out, provided by some listed companies in the first quarter of 2015 report. The evalua-tion results show that using the weighted principal component analysis for comprehensive evaluation oflisted companies can combine the objective analysis of the principal component analysis and the subjec-tive analysis of analytic hierarchy process to obtain the relatively reliable conclusion of combining objec-tive with subjective evaluation. And compared with the results of the principal component analysis, theevaluation result is more reasonable, more in line with the actual operation level of the listed company,can provide a more reliable investment reference for the securities investors.