Complete Sets of Sums of Squares Orthogonal F-rectangles for Rectangular Arrays

摘要

This paper is an extension and generalization of the sum of squares orthogonality geometry presently available in the literature. The extension from square arrays, F-squares, to rectangular arrays, F-rectangles, is presented here. The method of constructing complete sets of sum of squares orthogonal F-rectangles is via computer codes. Several examples are presented demonstrating the codes, construction, and sum of squares orthogonality of the complete set of F-rectangles obtained.