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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 Colley (Colley’s Bias Free Matrix <strong>Ranking</strong>s)<br />

◮ Colley matrix C<br />

{<br />

◮ 2 + ntot,i i = j<br />

C(i, j) =<br />

−n j,i i ≠ j<br />

Laplace’s rule of succession<br />

where n tot,i is the total number of games played by team i,<br />

and n j,i is the number of times team i played team j.<br />

◮ <strong>Ranking</strong> vector r is the solution to the linear system<br />

Cr = b<br />

where b(i, 1) = 1 + (n w,i − n l,i )/2, given that n w,i is the<br />

number of games lost by team i and n l,i is the number of<br />

games won by team i.

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