Ranking football clubs by the dominant eigenvector of the normalized points-won matrix.

Scotland: Tier 1 2003-04

2002-03 2004-05

EP Pts W D L GF GA GP PR
1 Celtic 44.449 98 31 5 2 105 25 38 1
2 Rangers 13.404 81 25 6 7 76 33 38 2
3 Heart of Midlothian 10.385 68 19 11 8 56 40 38 3
4 Dunfermline Athletic 7.315 53 14 11 13 45 52 38 4
5 Motherwell 4.535 46 12 10 16 42 49 38 6
6 Dundee United 4.316 49 13 10 15 47 60 38 5
7 Aberdeen 3.441 34 9 7 22 39 63 38 11
8 Livingston 3.155 43 10 13 15 48 57 38 9
9 Hibernian 2.971 44 11 11 16 41 60 38 8
10 Dundee 2.320 46 12 10 16 48 57 38 7
11 Kilmarnock 2.068 42 12 6 20 51 74 38 10
12 Partick Thistle 1.640 26 6 8 24 39 67 38 12

EigenPoints, Points, Wins, Draws, Losses, GoalsFor, GoalsAgainst, GamesPlayed, PointsRank.

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