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论坛 计量经济学与统计论坛 五区 计量经济学与统计软件
14507 2
2014-01-13
我知道控制变量的意思,却不知道什么时候带入控制变量进行分析,比如相关分析中需要把控制变量带入验算吗?回归分析中呢?我看有些作者将控制变量带入回归方程中,请问是啥意思呢?谢谢!
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2015-6-28 18:16:15
本来就和解释变量没多大区别,放入研究也很正常
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2015-6-28 20:22:23
Control variables are those put into regression to control the Omitted Variable Bias (OVB).
Consider Regression Y=Xb+e
In Randomized Control Trials (RCT)  X and e are uncorrelated, therefore OLS estimates are both unbiased and inconsistent.
In social sciences studies. X are normally choices of human being, which is highly possible to be correlated with e, therefore  induce the endogeneity problem.
e.g In wage regression, wage= education*b+e.
here education is endogeneous because it is correlated with 'ability'  which is not observed. In the presence of endogeneity, b can not be consistently estimated.
Therefore, if we could put ability (or its proxy) into the regression, the OVB could then be controled and we call the variable ability-control variable.
However ability cannot be observed, that's why we use other approach- IV regression, Panel data, Difference in Differences etc to control this bias.
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