Quote:
Originally Posted by Ether
Attached ZIP file contains N and d.
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BTW, in case anyone was wondering...
Ax~b
(overdetermined system)
A
TAx = A
Tb
(normal equations; least squares solution of Ax~b)
Let N=A
TA and d=A
Tb
(N is symmetric positive definite)
then Nx=d
A is the binary design matrix of alliances and b is the vector of alliance scores for all the qual matches for the 2013 season, including 75 Regionals and Districts, plus MAR and MSC, plus Archi, Curie, Galileo, and Newton.
So solving Nx=d for x is solving for 2013 World OPR.