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st: 2SLS with probit in the first stage regression

From   Renuka Metcalfe <>
To   statalist <>
Subject   st: 2SLS with probit in the first stage regression
Date   Thu, 14 Feb 2008 21:11:18 +0000 (GMT)


I would like to find out if training which is one of
my RHS variable is an endogenous variable. The
original regression was a pay equation as follows:

.xtreg y training meanworkplacetraining x2 x3 x4 

I used xtreg as the data are grouped across workplaces
and considered to be a less biased OLS estimator.
Training is a binary variable, dummy=1 if they have
had training and 0 otherwise and the data is
cross-section data. I left out the meanworkplace
training for now. I want to deal with one endogenous
variable at a time.

I did:

.probit training x2 x3 x4 z

where z = my instrument

I then did:

predict ghat

I then issued:

.ivreg pay x2 (training = ghat) x3 x4 

Part of what I got is:

Number of obs =   14321
 F( 58, 14262) =  115.93
 Prob > F      =  0.0000
 R-squared     =  0.3104
 Adj R-squared =  0.3076
 Root MSE      =  .49362

         Coef.   Std. Err.   t  P>|t|   
training |.2904799 .116244 2.50  0.012

Can I take interpret that the training variable is not
endogenous? I would be grateful if anyone would tell
me if I have done it correctly to find out if my
training variable is endogenous and if it is
endogenous. If I have done it incorrectly what would
be the correct way to go about it.

Any suggestions would be greatly appreciated.

Thank you


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