OLS and GLS are equivalent for the two-way Within transformed model. (a) Using generalized inverse, show that
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OLS and GLS are equivalent for the two-way Within transformed model.
(a) Using generalized inverse, show that OLS or GLS on (2.6) with \(Q\) defined in (3.3) yields \(\widetilde{\beta}\), the Within estimator.
(b) Show that (2.6) with \(Q\) defined in (3.3) satisfies the necessary and sufficient condition for OLS to be equivalent to GLS (see Baltagi 1989).
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