# Re: st: IV probit with dummy endogenous regessors

 From Partha Deb To statalist@hsphsun2.harvard.edu Subject Re: st: IV probit with dummy endogenous regessors Date Thu, 10 May 2007 14:46:53 -0400

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

margherita.comola@upf.edu 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" <bpoi@stata.com>
Date:
Thu, 10 May 2007 11:05:27 -0500 (CDT)
To:
statalist@hsphsun2.harvard.edu

To:
statalist@hsphsun2.harvard.edu

On Thu, 10 May 2007 margherita.comola@upf.edu 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* = x'beta + delta*y2 + u1
y2 = x'gamma + z'eta + v2

with y1 = 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
-- bpoi@stata.com

Reference
----------
Wooldridge, J. M. (2002). Econometric Analysis of Cross Section and Panel Data. Cambridge, MA: MIT Press.
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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/

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