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

Scotland 2008-09

2007-08 2009-10

EP Pts W D L GF GA GP PR
1 Rangers 23.905 110 34 8 5 99 32 47 1
2 Celtic 20.887 98 29 11 5 93 37 45 2
3 Dundee United 7.336 66 17 15 12 60 53 44 14
4 Heart of Midlothian 6.656 63 17 12 12 42 38 41 19
5 Aberdeen 6.027 64 17 13 14 52 46 44 15
6 Hibernian 3.747 47 11 14 15 45 52 40 35
7 Kilmarnock 3.343 54 15 9 20 50 58 44 24
8 Motherwell 3.301 52 14 10 18 51 55 42 29
9 Inverness CT 3.247 47 13 8 23 46 63 44 36
10 Falkirk 3.036 59 16 11 20 51 60 47 22
11 St Mirren 3.011 50 13 11 21 46 59 45 34
12 Hamilton Academical 2.935 53 16 5 23 39 63 44 28
13 Dunfermline Athletic 1.781 71 20 11 16 65 51 47 9
14 Airdrie United 1.540 72 19 15 17 55 59 51 8
15 Morton 1.298 59 16 11 16 58 54 43 20
16 St Johnstone 1.089 68 18 14 8 62 42 40 11
17 Partick Thistle 0.984 73 22 7 16 57 53 45 6
18 Ross County 0.730 64 18 10 17 59 58 45 16
19 Livingston 0.702 59 17 8 18 66 68 43 21
20 Queen of the South 0.626 53 14 11 16 67 59 41 25
21 Ayr United 0.581 92 27 11 9 89 53 47 3
22 Clyde 0.552 51 14 9 20 52 65 43 32
23 Dundee 0.537 50 13 11 15 36 38 39 33
24 Peterhead 0.313 63 17 12 15 67 53 44 17
25 Arbroath 0.252 45 12 9 19 50 54 40 38
26 Raith Rovers 0.231 78 22 12 7 63 34 41 4
27 East Stirlingshire 0.191 71 22 5 17 68 66 44 10
28 Alloa Athletic 0.186 51 14 9 20 54 66 43 31
29 Brechin City 0.146 68 20 8 15 60 56 43 13
30 Stirling Albion 0.138 53 14 11 14 63 58 39 26
31 East Fife 0.104 53 16 5 21 43 55 42 27
32 Forfar Athletic 0.093 63 18 9 16 69 63 43 18
33 Dumbarton 0.087 72 20 12 10 72 51 42 7
34 Queen's Park 0.068 41 9 14 21 44 67 44 39
35 Cowdenbeath 0.064 78 22 12 12 61 47 46 5
36 Stenhousemuir 0.061 68 19 11 15 68 54 45 12
37 Montrose 0.040 57 17 6 17 49 58 40 23
38 Albion Rovers 0.040 46 13 7 21 45 53 41 37
39 Annan Athletic 0.039 51 14 9 16 58 50 39 30
40 Lochee United 0.029 7 2 1 1 8 5 4 47
41 Berwick Rangers 0.024 37 10 7 22 49 70 39 40
42 Stranraer 0.018 16 3 7 29 34 102 39 42
43 Elgin City 0.016 32 9 5 27 36 87 41 41
44 Spartans 0.011 10 3 1 2 8 7 6 43
45 Pollok 0.001 1 0 1 1 1 2 2 65
46 Forres Mechanics 0 10 2 4 1 13 14 7 44
46 Inverurie Locos 0 9 3 0 1 14 6 4 45
46 Dalbeattie Star 0 7 2 1 1 15 7 4 46
46 Edinburgh City 0 7 2 1 1 6 4 4 48
46 Clachnacuddin 0 6 2 0 1 5 5 3 49
46 Vale of Leithen 0 6 2 0 1 2 4 3 50
46 Wick Academy 0 4 1 1 1 4 4 3 51
46 Brora Rangers 0 4 1 1 1 4 5 3 52
46 Banks O'Dee 0 3 1 0 1 11 5 2 53
46 Fraserburgh 0 3 1 0 1 6 4 2 54
46 Preston Athletic 0 3 1 0 1 5 5 2 55
46 Buckie Thistle 0 3 1 0 1 4 4 2 56
46 Civil Service Str 0 3 1 0 1 2 2 2 57
46 Huntly 0 3 1 0 1 1 2 2 58
46 Threave Rovers 0 3 1 0 1 3 5 2 59
46 Cove Rangers 0 3 1 0 1 1 3 2 60
46 Coldstream 0 2 0 2 0 3 3 2 61
46 Keith 0 2 0 2 0 2 2 2 62
46 Selkirk 0 2 0 2 1 3 9 3 63
46 Newton Stewart Ath 0 1 0 1 1 2 3 2 64
46 Wigtown and Bladnoch 0 1 0 1 1 2 4 2 66
46 Edinburgh University 0 0 0 0 1 1 2 1 67
46 Crichton 0 0 0 0 1 0 1 1 68
46 Girvan 0 0 0 0 1 0 1 1 69
46 Glasgow University 0 0 0 0 1 0 1 1 70
46 Whitehill Welfare 0 0 0 0 1 0 1 1 71
46 Bathgate Thistle 0 0 0 0 1 1 3 1 72
46 Gala Fairydean 0 0 0 0 1 1 3 1 73
46 Nairn County 0 0 0 0 1 0 2 1 74
46 Hawick Royal Albert 0 0 0 0 1 3 6 1 75
46 Deveronvale 0 0 0 0 1 2 5 1 76
46 Rothes 0 0 0 0 1 1 4 1 77
46 Golspie Sutherland 0 0 0 0 1 0 3 1 78
46 St Cuthberts Wndrs 0 0 0 0 1 0 3 1 79
46 Lossiemouth 0 0 0 0 1 1 5 1 80
46 Burntisland Shipyard 0 0 0 0 1 0 4 1 81
46 Fort William 0 0 0 0 1 0 10 1 82

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

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