Ranking National Football League teams using Google's PageRank.
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.