一些管理学文献中在处理数据的部分提到:
Some of our variables were highly correlated, which can lead to inflated standard errors and unstable regression coefficients. We use the Gram-Schmidt procedure to orthogonalize highly correlated variables, which partials out the common variance and creates transformed variables that are uncorrelated with each other.(Hiatt, S. R., Sine, W. D., & Tolbert, P. S. , 2009; Hiatt, S., & Park, S. ,2013; Galunic, C., Ertug, G., & Gargiulo, M. ,2012; Pollock, T. G., & Rindova, V. P. ,2003; Sine, W. D., David, R. J., & Mitsuhashi, H. ,2007;)
意思是说对于高度相关的几个变量,采用施密特正交化方法得到相互正交的新变量,用新变量进行回归。
但是在维基百科的
Multicollinearity词条的Remedies for multicollinearity部分提到:
Note that one technique that does not work in offsetting the effects of multicollinearity is orthogonalizing the explanatory variables (linearly transforming them so that the transformed variables are uncorrelated with each other): By the Frisch–Waugh–Lovell theorem, using projection matrices to make the explanatory variables orthogonal to each other will lead to the same results as running the regression with all non-orthogonal explanators included.
那么采用施密特正交化方法具体是怎么处理的呢?这种方法到底有没有效啊?