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st: Formula for robust cluster standard error in simple linear regression?


From   "David Ward" <ward.dww@gmail.com>
To   statalist@hsphsun2.harvard.edu
Subject   st: Formula for robust cluster standard error in simple linear regression?
Date   Fri, 16 Feb 2007 14:20:04 -0500

I am trying to better understand the robust cluster variance
estimator, and the FAQ at
http://www.stata.com/support/faqs/stat/cluster.html
is helpful.  But I have the following question:

For the unclustered heteroskedasticity-robust variance estimator, we
can take the corresponding formula in the FAQ, and write the standard
error of the slope estimator in a simple linear regression (i.e., one
regressor) as:
se(b_hat)= sqrt( Sum_i (x_i-x_bar)^2 * e_i_hat^2 ) / ( (Sum_i (x_i-x_bar)^2)^2 )
(Just as in the FAQ I am ignoring the degrees of freedom correction.)

Is there an analogous way to write the formula for the robust
*cluster* standard error of the slope term in a simple linear
regression?

Thanks,
David Ward
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