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st: Re: Two way Fixed Effects & Autocorrelation& Heteroskedasticity
I have some comments about your question:
(1) If you think that the error term has autocorrelation and
heteroskedasticity I am not sure if Hausman test is still valid. My personal
approach to this problem is not to use Hausman test and try to solve the
possible correlation between unobservable and explanatory variables. Random
Effects assumes that there is not correlation.
(2) Suppose that you decided to use Fixed Effects (FE), the fact of the
error term has autocorrelation could be the result of misspecification in
your model. In other word, maybe you model need a lag dependent variable in
the right hand side. In that case FE is biased and you have to choose
between try to correct the bias (Hahn-Kuersteiner, econometrica 2001 or
Kiviet, journal of econometrics 1995)... here
http://ideas.repec.org/c/boc/bocode/s450101.html you can find the work of
Bruno based on Kiviet paper or use a Instrumental Variable approach
(Anderson-Chiao, econometrica 1980? or Arellano-Bond, review of economic
studies 1991) commands -ivreg- and -xtabond-.
(3) Finally, maybe you know that there is not lag dependent variable in your
model but you still have errors with autocorrelation and heteroskedasticity.
Well, the command -xtregar- solves the problem for the case of
autocorrelation of order 1 in your model, but this solution is Prais or
Cochrane solution for time series, which means that you estimate the model
as you have the lag dependen variable in the right hand side, plus the lags
of the exogenous variables in the context of a nonlinear constrained model.
Details are available in autocorrelaton chapter of any textbook. In
conclusion, you will have the lag dependent variable...
(4) A way to solve the problem without a lag dependent variable is using a
standard error correction that takes care of the behavior of the error term
but does not change the Least Square estimation of the parameters. You can
use -newey- with manually fixed effect, but you have adjust the degree of
freedom (I wrote a command for that I can send you if you are interesting).
----- Original Message -----
Sent: Thursday, March 30, 2006 11:11 AM
Subject: st: Two way Fixed Effects & Autocorrelation& Heteroskedasticity
My problem was already discussed before,but i didn`t found an appropriate
solution to it.-
I have a big panel data set (1500 observations over 20 years).I want to
estimate a model with time and group specific fixed effects (Hausman Test
performed). The Model suffers from autocorrelation and
heteroskedasticity.The problem is that the cluster option is not possible
for xtregar. Can i use xtgls or areg?As i understood xtgls estimates a
random effet model.
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