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st: panel data model and Chow test


From   "D.Christodoulou" <[email protected]>
To   [email protected]
Subject   st: panel data model and Chow test
Date   Tue, 14 Feb 2006 21:10:23 +0000

Dear Statalisters, 

I have been going through William Gould's very instructive guideliness on what
is a Chow test and how to construct such a procedure. My question is how to
construct a Chow test for a panel model?

I have the model:

.y_it = a + bX_it + C_i + u_it  (I'm interested only in BE effects)

And I estimate the model using three panel estimators:

(1) y_i = a + bX_i + C_i + u_i
   (BE estimator: y_i, X_i, u_i are averaged over t)

(2) (y_it - y_i - y) = a + b(X_it - X_i - X) + C + (u_it - u_i - u) 
   (WE estimator: y, X, u are averaged over it, and C averaged over i)

(3) y*_it = y_it - Wy_i - y
   (RE estimator: W is Swamy and Arora (1972) weight for RE)


Now, I want to test whether there are two structural braks within t. Is it
possible to use William's notes
(http://www.stata.com/support/faqs/stat/chow3.html) on how to construct the
equivalent of a Chow test with regard to the three estimators mentioned above?


That is to say, if t=1,2,3,...,15, first to estimate the model for:

t1i=1,2,..,5
t2i=6,7,..,10
t3i=11,12,..,15

and then use -test- to run the equivalent procedure as for Chow test? Is this
the correct way to run this test? Or, since this is a panel model, it implies
something else that I cannot see?

all comments are welcome,
many thanks

Dimitris Christodoulou

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