Moser, Barry Kurt et Lin, Yuh-ren, Equivalence of the Corrected F Test and the Weighted Least Squares Procedure, American statistician , 46(2), 1992, pp. 122-124
In this article, the corrected F statistic in the general linear model is shown to be algebraically equivalent to the corresponding statistic in the weighted least squares procedure, whenever the corrected F statistic exists.Hence, weighted least squares analysis is, in effect, a self-corrected F test procedure.