Research On The Comprehensive Strength Evaluation Of Cities In Shandong Province Based On F Actor Analysis And Cluster Analysis

Shandong province is one of the major provinces of economy,population and culture.for many years,shandong province has paid much attention to the study of regional development,and evaluated the current situation of regional development in many aspects,in order to promote the economic and social development of each region.However,the existing evaluation system of re-gional development in shandong province is not perfect,and the selection of indicators is relatively narrow,which cannot guide the development of various regions comprehensively and systematically.Under such a background,this paper takes the construction of regional development index evaluation system as the starting point and comprehensively evaluates the development status of 17 regions in shandong province through factor analysis and cluster analysis.First,three conclusions were drawn through factor analysis:first,the re-gional comprehensive score ranking was compared with the GDP ranking,and the difference between the two was small.The comprehensive score ranking of 15 regions was basically consistent with the GDP ranking,and the com-prehensive score ranking of 2 regions was significantly different.Secondly,the selected regional development evaluation index system can be regarded as an effective supplement and extension to the GDP index evaluation of regional development.Thirdly,there are obvious differences in the comprehensive s-cores among regions,which indicates that the development of various regions in shandong province is unbalanced,uncoordinated and inadequate.Next,in this paper,the various main factor score of clustering results,through the analysis of clustering results to find the cause of regional imbal-ance,and puts forward some corresponding countermeasures and Suggestions,such as developing infrastructure,attract talent policy,traditional enterprise scale effect,specific measures such as development of modern high-tech indus-tries.Then,the robustness analysis of the factor analysis and cluster analysis model was carried out,and it was found that the difference between the results before and after was not big.It could be considered that the model was relatively robust with little outlier interference,and the conclusion was reliable.Finally,a class of BSDEs and a class of nonlinear PDEs are simulated based on BSDE theory.