基于多元统计分析的山东省经济发展研究

Research of Economic Development in Shandong Province Based on Multivariate Statistical Analysis

摘要: 山东省是全国的经济大省、人口大省、文化大省，所以山东省的发展一直是国家关注的重点对象之一，为此本文将针对山东省16个城市的经济发展现状进行研究。首先本文选取与经济发展相关的11个指标，并对这11个指标的数据进行因子分析，将11个指标的信息概括为经济总量因子(第一主因子)和人民生活水平因子(第二主因子)，再根据主因子计算综合得分，对16个城市进行排名，给出综合评价模型。再使用聚类分析，将不同经济发展水平的城市进行分类，研究山东省地区的经济发展结构，最后使用Fisher判别检验聚类结果的正确性。通过以上方法，本文指出山东省城市经济发展现状，并为山东省经济发展提供优化措施和建议。

Abstract: Shandong Province is a large economic province, a large population province, and a large cultural province in the country. Therefore, the development of Shandong Province has always been one of the key objects of national concern. For this reason, this paper will focus on the current economic development of 16 cities in Shandong Province. First of all, this paper selects 11 indicators related to economic development, and performs factor analysis on the data of these 11 indicators, and summarizes the information of the 11 indicators into the economic aggregate factor (the first main factor) and the people’s living standard factor (the second Main factor), and then calculate the comprehensive score based on the main factor, rank 16 cities, and give a comprehensive evaluation model. Then use cluster analysis to classify cities with different economic development levels, study the economic development structure of Shandong Province, and finally use Fisher discrimination method to test the correctness of the clustering results. Through the above methods, this paper points out the current situation of urban economic development in Shandong Province, and provides optimization measures and suggestions for the economic development of Shandong Province.