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May 21, 2016 at 17:48 answer added An old man in the sea. timeline score: 2
May 21, 2016 at 17:43 comment added An old man in the sea. 123, the CF method is a specific case of when we have generated regressors. Check the appendix to chapter 6, pages 157-160, for the asymptotic covariance matrix of $N^{1/2}(\hat\beta_{CF}-\beta)$. The expression is truly enormous. ;)
May 20, 2016 at 23:46 comment added 123 @AlecosPapadopoulos - Oh man - I see what happened. Sorry for the confusion. Thanks for catching the mistake.
May 20, 2016 at 23:43 history edited 123 CC BY-SA 3.0
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May 20, 2016 at 20:52 comment added Alecos Papadopoulos My question was about $$E(W_i\epsilon_i) = E([\gamma_1 X_i + \gamma_2 Z_i + \phi_i][ \alpha \phi_i + \chi]) = ... + \alpha E\phi^2_i$$ If $\phi$ is random then $E\phi^2_i$ cannot be zero, and so $E(W_i\epsilon_i) \neq 0$. Please clarify, or better, add information in the post, not in the comments.
May 20, 2016 at 20:16 comment added 123 by construction, $E[\phi_i \chi_i]=0$,$E[X_i \chi_i]=0$ and the endogeneity is fully reflected in $\alpha$. I wrote this out following the example provided by Woolridge's lecture slides. I think it is correct but I could have mixed some things around?
May 20, 2016 at 19:04 comment added Alecos Papadopoulos Since $\phi_i$ is part of $W_i$ and also of $\epsilon_i$, how do you obtain the orthogonality between $W_i$ and $\epsilon_i$?
May 20, 2016 at 18:16 history edited 123 CC BY-SA 3.0
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May 20, 2016 at 18:04 history asked 123 CC BY-SA 3.0