样本相关系数教学中的若干注解

Some notes on sample correlation coefficient

在概率论和数理统计教学中,对总体相关系数做了较为详尽的描述和分析.样本相关系数具有广泛的应用意义,但在教学研究中涉及样本相关系数内容较少.分析样本相关系数与总体相关系数之间的关系,总结样本相关系数分布及相关统计性质,通过蒙特卡洛模拟方法直观展示样本相关系数、欧式距离、总体相关系数之间联系.

In the teaching of probability and statistics,the population correlation coefficient is described and analyzed in detail.Sample correlation coefficient has wide application significance,but there is little discussion about sample correlation coefficient in research and teaching.The relationship between sample correlation coefficient and population correlation coefficient was firstly analyzed,and then the distribution and statistical properties of sample correlation coefficient was summarized.Finally,Monte Carlo simulation method is used to visually demonstrate the relationship between sample correlation coefficient,Euclidean distance and population correlation coefficient.