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st: -ivreg2- with an interaction again
From
Jen Zhen <[email protected]>
To
[email protected]
Subject
st: -ivreg2- with an interaction again
Date
Fri, 13 Dec 2013 14:11:18 +0100
Dear list members,
in an earlier post I described an issue I had with an -ivreg2-
Regression, where I wanted to use an interaction to test whether the
causal effect differed between 2 subsamples.
In following earlier posts on this list I did this as follows:
--ivreg2 outcome controls ind (endogreg endogreg_ind = z z_ind)--
where ind is the indicator for the subsample (0 for about half, 1 for
the other half of the sample).
Besides the desired 2nd stage output, this yielded 2 first stage
regressions for respectively endogreg and endogreg_ind, each of which
is in its first stage regressed on both instruments, the indicator and
the set of further controls.
The issue I had was that I got R2=0.99 on the second first stage
regression. There were ultimately no replies to my post, but meanwhile
I figured out that this is because for about half the sample the
outcome of the second FS regression is
endogreg_ind=endogreg*ind=endogreg*0=0 and for all those also z_ind=
z*ind= z*0=0 and, more importantly, ind=0.
This results in a huge T Stat for ind and therefore in a huhe R2.
Now I'm wondering whether given the above reason this is legitimate or
whether it means I should omit the indicator from first and second
stage, or (probably not) do only the affected second stage separately?
Thanks so much and kind regards,
JZ
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