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Is it possible to use quadratic instrumental variables on Stata using
ivregress command?
fertility = a0 +a1 x education + a2 x ...+ u
education is endogenous so i will use distance to Tehran and square
distance to Tehran as instruments. The reduced form equation:
education = b0 + b1x distance to Tehran + b2 x (distance to Tehran)^2
This is not 'nonlinear IV' in any sense. If distance is exogenous
(as it obviously is) then
including it and any nonlinear function of it is perfectly
straightforward IV. You're just
saying that education is a curvilinear function of distance to the
capital (and whatever
included exogenous factors appear in the main equation).
To get a broader set of diagnostics for your IV model, you might
want to use Baum-Schaffer-Stillman's
-ivreg2-, latest version on SSC, documented extensively in Stata J
2003, 2007 (free downloads).
Kit
Kit Baum | Boston College Economics & DIW Berlin |
http://ideas.repec.org/e/pba1.html
An Introduction to Stata Programming |
http://www.stata-press.com/books/isp.html
An Introduction to Modern Econometrics Using Stata |
http://www.stata-press.com/books/imeus.html
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