multiple regression与multivariate regression的区别

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各位好！请教一下，multiple regression和multivariate regression之间的区别和联系是什么呢？
根据我目前查到的资料，只是了解到前者是一个因变量多个自变量，而后者是多个因变量多个自变量。那么我的疑问就是后者的多个因变量相互之间的关系在回归分析的时候会不会考虑呢？如果不考虑，那不就是相当于做了多次multiple regression？乱呢……请明白人点拨一下。另外，如果有关于multivariate regression的比较好的中文论文的话，不知道是否可以分享一下？多谢多谢~

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关键词：Multivariate multivariat regression regressio Multiple Multivariate regression Multiple

其中区别，还真得高手来说明一下。

http://wiki.answers.com/Q/What_i ... ultipal_regressionI希望能对你有帮助。

Multivariate linear regression is a natural extension of multiple linear re-
gression in that both techniques try to interpret possible linear relation-
ships between certain input and output variables. Multiple regression is
concerned with studying to what extent the behavior of a single output
variable Y is influenced by a set of r input variables X =(X1, ··· ,Xr)τ .
Multivariate regression has s output variables Y =(Y1, ··· ,Ys)τ ,each
of whose behavior may be influenced by exactly the same set of inputs
X =(X1, ··· ,Xr)τ .
So, not only are the components of X correlated with each other, but in
multivariate regression, the components of Y are also correlated with each
other (and with the components of X). In this chapter, we are interested
in estimating the regression relationship between Y and X, taking into
account the various dependencies between the r-vector X and the s-vector
Y and the dependencies within X and within Y.

支持者顶啊

呵呵，今天又学习了