云南民族大学学报（自然科学版）2018，Vol.27Issue(2)：113-118,6.DOI:10.3969/j.issn.1672-8513.2018.02.006
一种基于三次曲线关系变量间的偏相关分析
A partial correlation between variables of nonlinear relations
摘要
Abstract
In the statistical correlation analysis,partial correlation analysis is often used to study the linear correla-tion of two variables among many variables, but the correlation of variables is not all linear in reality. The cubic nonlinear model of variable Z and X and Y is constructed in this paper and it is confirmed by theoretical? derivation and simulation analysis that the partial correlation is not equivalent to the conditional correlation when the relation-ship between the variables is nonlinear and the partial correlation and the conditional correlation after excluding the influence of all other related components are equivalent. Finally,the validity of the method is proved by the nonlin-ear regression theory.关键词
偏相关/条件相关/非线性关系/非线性回归Key words
partial correlation/conditional correlation/nonlinear relation/nonlinear regression分类
社会科学引用本文复制引用
李顺勇,高艳..一种基于三次曲线关系变量间的偏相关分析[J].云南民族大学学报（自然科学版）,2018,27(2):113-118,6.基金项目
国家自然科学基金(61573229) （61573229）
山西省基础研究计划项目(201701D121004) （201701D121004）
山西省高等学校教学改革创新项目(J2017002) （J2017002）
山西省回国留学人员科研资助项目(2017-020) （2017-020）
