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

Scotland 2010-11

2009-10 2011-12

EP Pts W D L GF GA GP PR
1 Celtic 28.160 117 37 6 5 113 30 48 1
2 Rangers 23.540 109 35 4 6 106 36 45 2
3 Heart of Midlothian 6.103 66 19 9 13 60 50 41 16
4 Inverness CT 6.053 65 18 11 15 66 53 44 18
5 Dundee United 5.731 70 19 13 13 62 58 45 9
6 Motherwell 4.504 65 19 8 20 58 67 47 20
7 Kilmarnock 3.434 55 15 10 17 62 63 42 28
8 St Johnstone 2.539 60 16 12 18 36 51 46 24
9 Aberdeen 2.418 57 17 6 24 58 72 47 25
10 Hibernian 2.137 38 10 8 23 40 65 41 39
11 St Mirren 1.615 42 10 12 22 46 65 44 35
12 Falkirk 1.502 66 19 9 14 65 49 42 14
13 Hamilton Academical 1.314 29 6 11 24 27 63 41 41
14 Ross County 1.203 63 15 18 14 51 45 47 22
15 Dundee 1.139 76 21 13 7 62 45 41 7
16 Dunfermline Athletic 1.133 84 24 12 8 85 49 44 3
17 Raith Rovers 0.922 66 19 9 13 56 44 41 15
18 Partick Thistle 0.859 67 18 13 15 59 50 46 13
19 Queen of the South 0.708 65 19 8 18 74 65 45 19
20 Brechin City 0.611 77 20 17 13 90 67 50 6
21 Ayr United 0.605 80 24 8 16 86 69 48 5
22 Morton 0.423 54 14 12 18 57 59 44 29
23 Livingston 0.387 82 25 7 7 83 40 39 4
24 Stenhousemuir 0.303 49 13 10 21 65 75 44 31
25 Forfar Athletic 0.301 66 19 9 15 61 67 43 17
26 East Fife 0.238 61 17 10 15 88 80 42 23
27 Cowdenbeath 0.233 39 10 9 23 45 82 42 38
28 Alloa Athletic 0.228 43 11 10 22 57 83 43 34
29 Airdrie United 0.208 56 15 11 17 66 80 43 26
30 Peterhead 0.192 42 10 12 23 66 89 45 36
31 Elgin City 0.182 54 16 6 20 64 77 42 30
32 Stirling Albion 0.133 21 4 9 27 35 90 40 42
33 Stranraer 0.120 67 18 13 12 91 73 43 11
34 Queen's Park 0.119 63 19 6 17 64 56 42 21
35 Annan Athletic 0.116 71 19 14 13 74 61 46 8
36 Dumbarton 0.112 41 11 8 20 54 77 39 37
37 Arbroath 0.082 67 20 7 13 85 71 40 12
38 Albion Rovers 0.074 68 19 11 13 64 48 43 10
39 Montrose 0.062 45 12 9 22 59 80 43 32
40 Berwick Rangers 0.061 55 14 13 14 68 62 41 27
41 Clyde 0.060 35 9 8 23 43 75 40 40
42 East Stirlingshire 0.038 44 13 5 24 43 72 42 33
43 Buckie Thistle 0.027 6 2 0 1 9 3 3 46
43 Bo'ness United 0.027 6 2 0 1 8 4 3 47
45 Sunnybank 0.019 6 2 0 1 7 6 3 48
46 Beith 0.012 7 2 1 1 14 7 4 44
47 Threave Rovers 0.012 4 1 1 1 7 9 3 54
48 Preston Athletic 0.004 5 1 2 1 4 6 4 50
49 Forres Mechanics 0.001 4 1 1 1 3 5 3 55
50 Newton Stewart Ath 0.001 1 0 1 1 1 4 2 69
51 Girvan 0 8 2 2 1 12 9 5 43
51 Deveronvale 0 7 2 1 1 7 4 4 45
51 Whitehill Welfare 0 6 2 0 1 7 6 3 49
51 Golspie Sutherland 0 5 1 2 1 7 10 4 51
51 Nairn County 0 4 1 1 1 6 4 3 52
51 Brora Rangers 0 4 1 1 1 7 8 3 53
51 St Cuthberts Wndrs 0 4 1 1 1 6 13 3 56
51 Spartans 0 3 1 0 1 4 2 2 57
51 Dalbeattie Star 0 3 1 0 1 3 1 2 58
51 Edinburgh City 0 3 1 0 1 3 4 2 59
51 Keith 0 3 1 0 1 3 4 2 60
51 Cove Rangers 0 3 1 0 1 1 3 2 61
51 Wigtown and Bladnoch 0 3 1 0 1 3 8 2 62
51 Glasgow University 0 3 1 0 1 2 7 2 63
51 Fort William 0 1 0 1 1 4 5 2 64
51 Edinburgh University 0 1 0 1 1 3 4 2 65
51 Huntly 0 1 0 1 1 3 4 2 66
51 Fraserburgh 0 1 0 1 1 4 6 2 67
51 Rothes 0 1 0 1 1 3 6 2 68
51 Inverurie Locos 0 1 0 1 1 0 5 2 70
51 Wick Academy 0 0 0 0 1 3 4 1 71
51 Civil Service Str 0 0 0 0 1 1 2 1 72
51 Burntisland Shipyard 0 0 0 0 1 0 1 1 73
51 Clachnacuddin 0 0 0 0 1 0 1 1 74
51 Coldstream 0 0 0 0 1 1 3 1 75
51 Vale of Leithen 0 0 0 0 1 1 3 1 76
51 Linlithgow Rose 0 0 0 0 1 0 2 1 77
51 Lossiemouth 0 0 0 0 1 0 2 1 78
51 Hawick Royal Albert 0 0 0 0 1 0 3 1 79
51 Gala Fairydean 0 0 0 0 1 1 6 1 80
51 Selkirk 0 0 0 0 1 1 6 1 81

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

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