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Ranking National Football League teams using Google's PageRank.

Ranking National Football League teams using Google's PageRank.

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<strong>Ranking</strong> <strong>National</strong> <strong>Football</strong> <strong>League</strong> <strong>teams</strong> <strong>using</strong> Google’s <strong>PageRank</strong>.<br />

<strong>Ranking</strong> NFL.<br />

<strong>Ranking</strong> NFL with Keener (SIAM Review,1993)<br />

◮ Nonnegative matrix A<br />

( )<br />

Sij + 1<br />

◮ A(i, j) = h , Laplace’s rule of succession<br />

S ij + S ji + 2<br />

where S ij is the amount of points scored by team i against<br />

team j.<br />

◮ h(x) =<br />

1<br />

2 + 1 2 sgn(x − 1 2 )√ |2x − 1|<br />

◮ Rank vector r is the Perron vector of A.

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