Dear Statalisters,
sorry if this will reach you twice..
I hope you could give me an insight about this problem, concerning
econometrical theory and Stata commands for 2sls.
I am trying to run a sort of two stages least squares regressing the
impact of some institutions on how variable Y responds to variable X
(endogenous):
Y=a+B(X)+Z(Institution*X)+K
(exogenous variables, including main effect of the institution)
To do so I want to instrument X, for which I have my good
instrument(s). I do not have an instrument for the interactions
between
X and the institution, but I was thinking (and maybe I am completely
wrong) that I would not need one if I just plug the fitted values of X
from the first stage regression and construct with them the
interaction term. At the end, this is what I want to assess: the
impact on the "purified" X of the institutions. The goal is to obtain:
Y=a+B(fittedX)+Z(Institution
*fittedX)+K(exogenous variables).
I cannot do this using ivreg or ivreg2 because then they would
consider the interaction as an exogenous variable and insert it in the
first stage. So I was thinking to do two stage least squares by
hand,including all the exogenous regressors in the first stage plus
the additional instruments. and then plugging in the fitted X series
and the fitted X sinteracted with the institutions.
Do you think this could be a sound procedure?Am I missing something
fundamental?
Thanks for your attention and for any help you may be able to give me.
Diego
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