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

Scotland 2011-12

2010-11 2012-13

EP Pts W D L GF GA GP PR
1 Celtic 22.672 96 31 3 5 84 23 39 1
2 Rangers 10.047 73 23 4 8 68 29 35 3
3 Kilmarnock 6.910 53 13 14 12 48 51 39 21
4 Motherwell 5.581 64 19 7 11 59 41 37 7
5 Dundee United 5.475 59 16 11 10 66 48 37 10
6 St Johnstone 5.338 56 16 8 13 49 42 37 19
7 Heart of Midlothian 5.187 57 16 9 13 48 36 38 16
8 Falkirk 5.080 72 20 12 10 70 53 42 4
9 St Mirren 4.680 50 11 17 13 43 53 41 25
10 Aberdeen 4.024 47 11 14 13 42 43 38 26
11 Ross County 3.224 76 21 13 4 70 34 38 2
12 Hibernian 2.388 39 10 9 19 47 69 38 34
13 Ayr United 2.371 58 15 13 15 53 63 43 15
14 Inverness CT 1.896 35 9 8 19 40 59 36 36
15 Dundee 1.788 58 16 10 11 56 39 37 12
16 Morton 1.367 51 14 9 15 59 59 38 23
17 Livingston 1.363 56 16 8 14 73 56 38 18
18 Hamilton Academical 1.185 55 16 7 15 51 44 38 20
19 Dunfermline Athletic 1.099 24 5 9 22 36 77 36 42
20 Partick Thistle 0.972 45 12 9 15 48 40 36 29
21 Raith Rovers 0.866 37 9 10 16 41 49 35 35
22 East Fife 0.839 58 17 7 16 69 63 40 14
23 Elgin City 0.829 58 16 10 12 68 56 38 13
24 Queen of the South 0.735 39 10 9 18 39 60 37 33
25 Annan Athletic 0.490 57 16 9 14 61 58 39 17
26 Alloa Athletic 0.386 71 21 8 6 61 39 35 5
27 Cowdenbeath 0.339 67 19 10 6 68 31 35 6
28 Berwick Rangers 0.330 47 12 11 14 58 66 37 27
29 Stranraer 0.319 62 18 8 10 84 59 36 8
30 Queen's Park 0.268 61 18 7 12 66 49 37 9
31 Arbroath 0.240 59 16 11 8 71 56 35 11
32 Airdrie United 0.236 51 14 9 14 78 70 37 22
33 Stenhousemuir 0.217 46 13 7 16 55 57 36 28
34 Dumbarton 0.187 51 15 6 14 55 65 35 24
35 Peterhead 0.170 45 13 6 18 50 64 37 30
36 Forfar Athletic 0.158 41 10 11 17 58 79 38 32
37 Montrose 0.139 33 9 6 21 52 84 36 37
38 Brechin City 0.122 43 11 10 14 47 56 35 31
39 Clyde 0.122 31 7 10 18 37 52 35 39
40 Stirling Albion 0.093 31 8 7 20 45 76 35 40
41 Albion Rovers 0.077 32 9 5 20 40 67 34 38
42 East Stirlingshire 0.075 25 6 7 23 41 90 36 41
43 Culter 0.041 4 1 1 1 5 5 3 51
44 Deveronvale 0.035 3 1 0 2 6 8 3 59
45 Fraserburgh 0.035 4 1 1 1 6 8 3 52
46 Buckie Thistle 0.010 2 0 2 1 4 6 3 61
47 Auchinleck Talbot 0 9 3 0 1 13 4 4 43
47 Inverurie Locos 0 7 2 1 1 12 8 4 44
47 Irvine Meadow 0 7 2 1 1 9 11 4 45
47 Bo'ness United 0 6 2 0 1 6 4 3 46
47 Keith 0 6 2 0 1 3 1 3 47
47 Vale of Leithen 0 6 2 0 1 5 5 3 48
47 Gala Fairydean 0 6 2 0 1 13 14 3 49
47 Clachnacuddin 0 4 1 1 1 6 4 3 50
47 Wick Academy 0 3 1 0 1 9 2 2 53
47 Cove Rangers 0 3 1 0 1 6 3 2 54
47 Huntly 0 3 1 0 1 6 4 2 55
47 Whitehill Welfare 0 3 1 0 1 4 2 2 56
47 Edinburgh City 0 3 1 0 1 3 1 2 57
47 Nairn County 0 3 1 0 1 2 3 2 58
47 Wigtown and Bladnoch 0 3 1 0 1 2 9 2 60
47 Forres Mechanics 0 1 0 1 1 5 8 2 62
47 Civil Service Str 0 0 0 0 1 3 4 1 63
47 Lossiemouth 0 0 0 0 1 1 2 1 64
47 Selkirk 0 0 0 0 1 1 2 1 65
47 Girvan 0 0 0 0 1 0 1 1 66
47 Preston Athletic 0 0 0 0 1 0 2 1 67
47 St Cuthberts Wndrs 0 0 0 0 1 0 2 1 68
47 Golspie Sutherland 0 0 0 0 1 2 5 1 69
47 Brora Rangers 0 0 0 0 1 0 3 1 70
47 Edinburgh University 0 0 0 0 1 0 3 1 71
47 Rothes 0 0 0 0 1 0 3 1 72
47 Burntisland Shipyard 0 0 0 0 1 0 4 1 73
47 Fort William 0 0 0 0 1 0 4 1 74
47 Glasgow University 0 0 0 0 1 0 4 1 75
47 Dalbeattie Star 0 0 0 0 1 1 6 1 76
47 Newton Stewart Ath 0 0 0 0 1 1 6 1 77
47 Hawick Royal Albert 0 0 0 0 1 1 8 1 78
47 Threave Rovers 0 0 0 0 1 1 8 1 79
47 Coldstream 0 0 0 0 1 1 9 1 80

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

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