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st: Hausman Specification Test result

From   Yean-Niee Chye <>
Subject   st: Hausman Specification Test result
Date   Fri, 15 Nov 2002 20:11:12 -0800 (PST)

Greeting to the list, 

I have a question regarding Hausman Specification
(I do not own Stata program so cant look up online

After Hausman Specification Test command, result
listed and the following line appears as well..

chi2() = (b-B)'[S^(-1)](b-B), S=(S_fe - S_re)

I dont understand [S^(-1)] and S=(S_fe - S_re)
S_fe and S_re, are these the standard error of
coefficients from FE and RE estimation respectively?
And how can I compute S^(-1) ??

Could someone please kindly explain this?? 
I know STATA will provide the result chi2 and prob,
but I do want to know the detail of this statement.
(chi2() = (b-B)'[S^(-1)](b-B), S=(S_fe - S_re))

Thanks for your help. 


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