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st: RE: 2sls with first stage probit


From   "Schaffer, Mark E" <[email protected]>
To   <[email protected]>
Subject   st: RE: 2sls with first stage probit
Date   Wed, 22 Feb 2006 14:02:25 -0000

Cory, 

> -----Original Message-----
> From: [email protected] 
> [mailto:[email protected]] On Behalf Of 
> [email protected]
> Sent: 22 February 2006 01:09
> To: [email protected]
> Subject: st: 2sls with first stage probit
> 
> Hi, I was looking through past inquiries about ivreg in stata 
> when the first stage regression is a probit.  I found the 
> following advice, following Wooldridge (2002):
> 
> . probit w x1-xn z
> . predict ghat
> . ivreg y x1-xn (w = ghat)
> 
> My question is not so much about the econometrics as it is 
> about how to tell stata to do what I want it to do.  First, 
> how do I tell stata that I want to provide my own fitted 
> values from the first stage (I have more than one endogenous 
> variable)?

Not sure what you mean, but probably you don't want to provide your own
fitted values; for one thing, the standard errors will be wrong.  The
extension of the Wooldridge procedure to multiple endogenous variables
is to generate multiple ghats as instruments.  But...

> Even better, how can I tell stata that I want it 
> to run a probit in the first stage of the ivreg procedure.

This looks like Stata's built-in -treatreg- estimator.  BTW, it is a
system estimator, i.e., the probit equation and the outcome (y) equation
are estimated jointly.  This means the usual efficiency-robustness
tradeoff, i.e., treatreg will be more efficient than single-equation IV,
but the estimates for neither equation will be consistent if either one
is misspecified.

HTH.

--mark

> Ideally, I would like to know how to run a probit in both 
> stages and also a probit only in the first stage.  Thanks in 
> advance for any help,
> 
> Cory Koedel
> 
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