上证指数与股票收盘价相关性实证研究

The Relevance Empirical Research of the Shanghai Composite Index and the Stock’s Closing Price

本文针对相关系数的特征，提出全集相关系数及子集相关系数序列方法；以1990年12月19日-2016年12月30日披露的部分个股收盘价及上证指数数据为样本，按照“一一对应”原则进行了数据挖掘，研究筛选后的样本数据。研究结果表明，上证指数与不同的个股收盘价存在着不同程度相关性；个股收盘价与上证指数的相关性随时间而发生变化；以上证指数为参照系，有效研判个股的变化特征。本文的研究结论为证卷市场股票分类及参照上证指数实施股票投资操作提供重要依据。

According to the characteristics of the correlation coefficient, this method of the universal set correlation coefficient and subset correlation coefficient sequence are put forward. On December 19, 1990 - December 30, 2016, some individual stocks closing price and the Shanghai composite index data are regarded as s sample, the data mining on the sample data after screening has been carried by the principle of ＂one to one correspondence＂. The research results show that there exist differences in the Shanghai index and different individual stocks closing price correlation degree. The correlation between individual stocks closing price and the Shanghai composite index change over time. With the Shanghai composite index as frame of reference. The effective analysis of the characteristics of the individual stocks is provided. The Research conclusion of this article is important basis for the stocks to be classified and for stock investment to be operatized by the help of the Shanghai stock index.