st: Re: reg3 command and first stage estimations

[Kit Baum <baum@bc.edu>]

You have specified a model with 27 endogenous variables and 18  
exogenous variables (none of which are included in the  
specification). That in itself is a peculiar specification for a  
simultaneous equations system as in such a system the exogenous  
variables are meant to appear somewhere; it is their exclusion from  
various equations that provides identification, but the exog() list  
in reg3 should indicate that those variables appear in at least one  
equation as regressors. In your case the exclusion restrictions  
exclude all exogenous variables from all equations.

You should have 27 FSRs as you have 27 endogenous variables.

I suspect that as you are specifying the identical set of exogenous  
variables in each of those FSRs that there is no gain from 3SLS, and  
you would be just as well off specifying each individual equation in  
2SLS terms. That would also reduce the possibility that  
misspecification or failure of orthogonality conditions in one  
equation would pollute the entire system. If you estimate each  
equation with IV/2SLS (or IV-GMM, if you want to allow for robust,  
cluster, etc.) you will avoid that problem.

Kit Baum, Boston College Economics and DIW Berlin
http://ideas.repec.org/e/pba1.html
An Introduction to Modern Econometrics Using Stata:
http://www.stata-press.com/books/imeus.html


On Sep 6, 2007, at 2:33 AM, Marta wrote:


> This is my model.
>
> lny1 = b0 + b1 lnye1 + b2 lnk1 + err
>
> lny2 = c0 + c1 lnye2 + c2 lnk2 + err
>
> lny3 = d0 + d1 lnye3 + d2 lnk3 + err
>
> lny4 = q0 + q1 lnye4 + q2 lnk4 + err
>
> lny5 = g0 + g1 lnye5 + g2 lnk5 + err
>
> lny6 = h0 + h1 lnye6 + h2 lnk6 + err
>
> lny7 = m0 + m1 lnye7 + m2 lnk7 + err
>
> lny8 = n0 + n1 lnye8 + n2 lnk8 + err
>
> lny9 = p0 + p1 lnye9+ p2 lnk9 + err
>
> And the additional equations instrumenting each of the regressors  
> with the instruments (lnw1, ..., lnw9, lnd1, ..., lnd9).
>
> The command I'm using in Stata is the following:
>
> . reg3 (lny1 = lne1 lnk1)(lny2 = lne2 lnk2)(lny3 = lne3 lnk3)(lny4  
> = lne4 lnk4)(lny5 = lne5 lnk5)(lny6 = lne6 lnk6)(lny7 = lne7 lnk7) 
> (lny8 = lne8 lnk8)(lny9 = lne9 lnk9), endog (lne1 lne2 lne3 lne4  
> lne5 lne6 lne7 lne8 lne9 lnk1 lnk2 lnk3 lnk4 lnk5 lnk6 lnk7 lnk8  
> lnk9) exog (lnw1 lnw2 lnw3 lnw4 lnw5 lnw6 lnw7 lnw8 lnw9 lnd1 lnd2  
> lnd3 lnd4 lnd5 lnd6 lnd7 lnd8 lnd9) first
>
> With reference to the exclusion restrictions, every first stage  
> estimation has 18 regressors, and some of them are significant and  
> some others are not. Additionally, I thought of using -reg3-  
> command because of the fact that the especification is the same for  
> all nine sectors.
>
> I've run in Stata the example you suggested in your answer, and I  
> still don't understand why in the first-stage regressions when  
> using -reg3- command, the instruments (capital1 and invest) are  
> used to estimate the dependent variable (consump). When using - 
> ivreg2- command, the first-stage estimations correspond to the  
> regressors and the instruments, but no estimation of the dependent  
> variable on the instruments is provided.
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