摘要
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.
作者
王启明
时正华
袁永生
WANG Qiming;SHI Zhenghua;YUAN Yongsheng(School of Science,Hohai University,Nanjing 210098,China)
出处
《高师理科学刊》
2021年第1期59-62,70,共5页
Journal of Science of Teachers'College and University
基金
2019年度江苏省高等教育教改研究重点课题(2019JSJG086)——基于工程教育专业认证的大学数学课程教学体系的探索与实践。
关键词
总体相关系数
样本相关系数
无偏性
蒙特卡洛模拟
population correlation coefficient
sample correlation coefficient
unbiasedness
Monte Carlo simulation