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st: How to implement FGLS on estimated regression coefficients?
From
Michael Boehm <[email protected]>
To
[email protected]
Subject
st: How to implement FGLS on estimated regression coefficients?
Date
Fri, 17 Feb 2012 00:00:39 +0000
Dear all,
I want to run a FGLS estimation on the coefficients from a seemingly
unrelated regression, ie I first regress
"sureg (dd i.decade##(c.t1 c.t2) ) (w i.decade##(c.t1 c.t2)), coeflegend"
with output
"
| Coef. Legend
-------------+----------------------------------------------------------------
dd |
1.decade | .1909903 _b[dd:1.decade]
t1 | .1976521 _b[dd:t1]
t2 | -.2013332 _b[dd:t2]
|
decade#c.t1 |
1 | -.0220626 _b[dd:1.decade#c.t1]
|
decade#c.t2 |
1 | .0245381 _b[dd:1.decade#c.t2]
|
_cons | .5002711 _b[dd:_cons]
-------------+----------------------------------------------------------------
w |
1.decade | .5814188 _b[w:1.decade]
t1 | 1.50046 _b[w:t1]
t2 | 1.497409 _b[w:t2]
|
decade#c.t1 |
1 | .1770365 _b[w:1.decade#c.t1]
|
decade#c.t2 |
1 | -.1983975 _b[w:1.decade#c.t2]
|
_cons | 1.809371 _b[w:_cons]
"
Then I want to stack y=(_b[w:1.decade#c.t1] _b[w:1.decade#c.t2])' and
FGLS-regress it on x=(_b[dd:t1] _b[dd:t2])' (a regression with two
observations) with the weighting matrix being the covariance matrix of
these parameter estimates from the previous SUR regression. Ideally, I
would also like to report the value of the objective function that
FGLS minimizes in optimum, because this is supposed to be chi-squared
distributed with 2 degrees of freedom under the H0 that my model is
true.
Sorry for this long explanation, but does anyone know how to implement
this procedure nicely in Stata?
Thanks,
Michael
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