# st: Re: How to correct standard errors of a 2sls performed by

 From Kit Baum To statalist@hsphsun2.harvard.edu Subject st: Re: How to correct standard errors of a 2sls performed by Date Sat, 6 Feb 2010 07:39:51 -0500

```On Feb 6, 2010, at 2:33 AM, John wrote:

> What if the system is non-recursive (with feedback loops) and with
> multiple equations, e.g.,
>
> y = x1 + x2 + z
> x1 = m1 + m2 + x2 + z
> x2 = n1 + n2 + x1 + z
> m1 = q1 + q2 + z
> m2 = p1 + p2 + z
>
> Here one would need reg3, but how would one ensure consistency of
> standard errors (in the presence of heteroskedasticity), apart from
> bootstrapping (and Roodman's -cmp- would not here as it is only for
> recursive systems)?

No, you don't _need_ reg3. A systems estimator is never needed unless you want to impose constraints across equations on the coefficients. There is nothing wrong with limited-information (single-equation) estimation of each equation in turn. A systems estimator can provide efficiency; but on the other hand any misspecification means that every equation's coefficients can become inconsistent if one equation is flawed.

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

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