Using gretl, I run my model as RE. From there, how do you test for autocorrelation?
It depends on your model. If it is regular in the meaning that there exists BLUE and BQUE then you can use ratio F-test or general F test based on unbiased estimator of covariance.
Not sure if you use R.
If you would consider it there is a package called plm. There you have several tests available for autocorrelation, and also tools to correct for it.
These publications can also help you: http://www.sciencedirect.com/science/article/pii/030440769401646H
http://www.stata-journal.com/sjpdf.html?articlenum=st0039
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