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

Scotland 2009-10

2008-09 2010-11

EP Pts W D L GF GA GP PR
1 Rangers 19.909 108 32 12 4 99 37 48 1
2 Celtic 11.925 93 29 6 9 87 44 44 2
3 Dundee United 11.504 85 24 13 10 72 52 47 7
4 Ross County 7.174 87 25 12 13 84 58 50 5
5 Hibernian 4.864 64 18 10 16 73 63 44 15
6 Motherwell 4.628 56 14 14 13 55 61 41 21
7 Dundee 4.400 88 25 13 9 76 47 47 4
8 St Johnstone 4.400 62 17 11 17 76 66 45 17
9 Inverness CT 3.692 90 26 12 8 92 43 46 3
10 Heart of Midlothian 3.582 54 15 9 18 38 50 42 22
11 Aberdeen 3.218 45 11 12 19 41 57 42 34
12 St Mirren 2.837 53 13 14 20 53 56 47 23
13 Hamilton Academical 2.804 50 13 11 17 43 53 41 28
14 Kilmarnock 2.539 42 11 9 23 37 57 43 36
15 Queen of the South 1.915 68 19 11 13 63 51 43 13
16 Raith Rovers 1.704 57 15 12 19 50 60 46 20
17 Dunfermline Athletic 1.499 73 22 7 15 77 56 44 10
18 Partick Thistle 1.418 58 17 7 18 57 47 42 19
19 Falkirk 1.264 31 6 13 21 31 62 40 42
20 Ayr United 0.720 40 10 10 22 34 67 42 38
21 Airdrie United 0.678 38 9 11 22 47 61 42 39
22 Morton 0.590 47 14 5 24 47 72 43 32
23 Stirling Albion 0.417 75 21 12 10 77 64 43 9
24 Albion Rovers 0.254 63 17 12 14 43 42 43 16
25 Montrose 0.240 34 8 10 24 40 76 42 40
26 Brechin City 0.226 68 19 11 16 66 62 46 14
27 Forfar Athletic 0.182 83 24 11 12 77 62 47 8
28 Livingston 0.177 85 26 7 9 74 33 42 6
29 Alloa Athletic 0.175 71 20 11 13 54 46 44 12
30 Peterhead 0.113 52 15 7 18 47 58 40 26
31 East Stirlingshire 0.103 62 19 5 17 57 60 41 18
32 Cowdenbeath 0.097 71 19 14 12 69 50 45 11
33 Queen's Park 0.085 52 15 7 19 46 57 41 27
34 Dumbarton 0.081 49 14 7 19 49 65 40 30
35 Berwick Rangers 0.080 53 15 8 17 52 65 40 24
36 Annan Athletic 0.074 52 14 10 18 49 53 42 25
37 Arbroath 0.072 48 12 12 20 51 68 44 31
38 Stranraer 0.072 50 14 8 18 53 66 40 29
39 Elgin City 0.069 43 12 7 23 58 71 42 35
40 Stenhousemuir 0.068 46 11 13 18 48 59 42 33
41 East Fife 0.046 41 10 11 18 49 60 39 37
42 Clyde 0.036 32 8 8 24 40 70 40 41
43 Inverurie Locos 0.024 9 3 0 1 9 6 4 44
44 Irvine Meadow 0.021 9 3 0 1 6 3 4 45
45 Cove Rangers 0.012 3 1 0 1 2 6 2 63
46 Wick Academy 0.012 8 2 2 1 14 12 5 46
47 Clachnacuddin 0.001 1 0 1 1 3 4 2 65
48 Edinburgh City 0 9 3 0 1 14 6 4 43
48 Auchinleck Talbot 0 7 2 1 1 13 6 4 47
48 Keith 0 6 2 0 1 8 6 3 48
48 Whitehill Welfare 0 5 1 2 1 5 3 4 49
48 Huntly 0 4 1 1 1 11 5 3 50
48 Deveronvale 0 4 1 1 1 5 4 3 51
48 Threave Rovers 0 4 1 1 1 3 3 3 52
48 Fraserburgh 0 4 1 1 1 4 6 3 53
48 Spartans 0 3 1 0 1 4 2 2 54
48 Nairn County 0 3 1 0 1 7 6 2 55
48 Banks O'Dee 0 3 1 0 1 5 4 2 56
48 Lossiemouth 0 3 1 0 1 4 3 2 57
48 Vale of Leithen 0 3 1 0 1 4 3 2 58
48 Girvan 0 3 1 0 1 5 5 2 59
48 Selkirk 0 3 1 0 1 3 3 2 60
48 Civil Service Str 0 3 1 0 1 2 2 2 61
48 Buckie Thistle 0 3 0 3 1 3 5 4 62
48 Forres Mechanics 0 2 0 2 0 0 0 2 64
48 Bonnyrigg Rose 0 1 0 1 1 2 3 2 66
48 Wigtown and Bladnoch 0 1 0 1 1 1 4 2 67
48 Gala Fairydean 0 0 0 0 1 0 1 1 68
48 Dalbeattie Star 0 0 0 0 1 2 4 1 69
48 Brora Rangers 0 0 0 0 1 0 2 1 70
48 Golspie Sutherland 0 0 0 0 1 2 5 1 71
48 Glasgow University 0 0 0 0 1 1 4 1 72
48 Newton Stewart Ath 0 0 0 0 1 1 4 1 73
48 Edinburgh University 0 0 0 0 1 0 3 1 74
48 Preston Athletic 0 0 0 0 1 0 3 1 75
48 Burntisland Shipyard 0 0 0 0 1 1 5 1 76
48 Coldstream 0 0 0 0 1 1 5 1 77
48 Rothes 0 0 0 0 1 1 5 1 78
48 St Cuthberts Wndrs 0 0 0 0 1 0 5 1 79
48 Fort William 0 0 0 0 1 0 7 1 80
48 Hawick Royal Albert 0 0 0 0 1 0 7 1 81

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

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