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).
Transcribed Image Text:
Qy = QX B + Qv (2.6)
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