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st: Re:


From   Partha Deb <[email protected]>
To   Stephan Brunow <[email protected]>
Subject   st: Re:
Date   Fri, 11 May 2007 00:34:45 -0400

Stephan,

Maddala, in "Limited-Dependent and Qualitative Variables in Econometrics", shows how the bivariate probit can be used to model endogeneity even though that model is also typically conceived as an SUR-like model. A coherency restriction is required - which amounts to recursivity in the bivariate model. The extension to the multivariate case is straightforward. Here, recursivity is a sufficient condition for coherence. Exclusion restrictions are very desirable, although not technically required.

Partha


Stephan Brunow wrote:

[email protected]>
In-Reply-To: <[email protected]>
Subject: AW: st: IV probit with dummy endogenous regessors
Date: Thu, 10 May 2007 21:04:12 +0200
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Partha, I am not sure with mvprobit in that case.
As it is mentioned somewhere of the authors, mvprobit fits SUR-like models.
If there is an endogenous variable on the right hand side, the SUR assumtio=
n
would not hold since it does not include the endogenarity.

Stephan


-----Urspr=FCngliche Nachricht-----
Von: [email protected]
[mailto:[email protected]] Im Auftrag von Partha Deb
Gesendet: Donnerstag, 10. Mai 2007 20:47
An: [email protected]
Betreff: Re: st: IV probit with dummy endogenous regessors

Margherita,

-biprobit- works nicely if you have one endogenous (and binary) regressor.
-mvprobit- would work with multiple, binary regressors.

Both models are subject to distributional assumptions.

Hope this helps.

Partha


[email protected] wrote:
... is there any other Stata command suitable for the probit with
endogenous dummy?
thanks alot
Margherita


------------------------------------------------------------------------

Subject:
Re: st: IV probit with dummy endogenous regessors
From:
"Brian P. Poi" <[email protected]>
Date:
Thu, 10 May 2007 11:05:27 -0500 (CDT)
To:
[email protected]

To:
[email protected]



On Thu, 10 May 2007 [email protected] wrote:

Dear Statalister,

I have a few basic questions about IV probit.

My model is a probit with dummy endogenous regressors (for every dummy
endogenous regressor I have 3 dummy instruments).

Can I use ivprobit, or it can be only used with continuous endogenous
regressors?

As Wooldridge (2002, p. 472) emphasizes, both the two-step and
maximum-likelihood estimators implemented by -ivprobit- (and -ivtobit-)
require that the endogenous regressors be continuous.

The model fitted by -ivprobit- can be written as

   y1* =3D x'beta + delta*y2 + u1
   y2  =3D x'gamma + z'eta + v2

with y1 =3D 1 if y1* > 0 and 0 otherwise, where y2 is endogenous, x
represents the included exogenous variables, and z are the additional
instruments.  Both estimators assume that u1 and v2 are bivariate
normal. Thus, since v2 is normal, y2 given x and z must also be normal,
and that rules out discrete variables (of which a dummy is a special
case).
  -- Brian Poi
  -- [email protected]


Reference
----------
Wooldridge, J. M. (2002). Econometric Analysis of Cross Section and
Panel Data.  Cambridge, MA: MIT Press.
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--=20
Partha Deb
Department of Economics
Hunter College
ph:  (212) 772-5435
fax: (212) 772-5398
http://urban.hunter.cuny.edu/~deb/

Emancipate yourselves from mental slavery
None but ourselves can free our minds.
  =09- Bob Marley

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--
Partha Deb
Department of Economics
Hunter College
ph:  (212) 772-5435
fax: (212) 772-5398
http://urban.hunter.cuny.edu/~deb/

Emancipate yourselves from mental slavery
None but ourselves can free our minds.
	- Bob Marley

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