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1: Heckman两步法中,第一步中得到的inverse Mills Ratio 在第二步回归中不显著。
There are two ways to interpreting the results. First, if you believe that your first stage regression is good enough (by that I mean you believe that any endogeneity/selection issue can be sufficiently controlled for with your first stage model), then you argue that since the Inverse Mills' ratio is not significant in the second stage, you DON'T need to use the Heckman. However, one may argue that your first stage model is not sufficiently specified. Thus, second, you may consider other possible "identification variables" for the first stage or second stage. Actually, I suspect that the second is more likely in your case, because you mentioned that the Inverse Mills' ratio is highly correlated with two other variables. Let me discuss this point in the following response.
2.同时第二步回归中加入inverse Mills Ratio导致了其中两个变量由显著变为不显着,经检查inverse Mills Ratio与其他几个解释变量存在共线性。
Do you also include the two variables in the first stage? If you do, then it indicates that the "selection" or "identification" variable(s) you choose for the first stage - variable(s) appearing in the first stage but not the second stage - is not good enough. at the very least, such variable(s) should have a significant effect in the first stage.
hope this helps.
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