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

Scotland 1954-55

1953-54 1955-56

EP Pts W D L GF GA GP PR
1 Aberdeen 12.410 94 30 4 8 99 38 42 2
2 Celtic 12.106 84 24 12 8 98 56 44 4
3 Heart of Midlothian 11.440 89 27 8 9 120 62 44 3
4 Rangers 7.576 78 24 6 11 84 44 41 5
5 Hibernian 5.315 59 18 5 14 77 69 37 11
6 Clyde 5.023 65 18 11 14 85 64 43 9
7 St Mirren 4.434 53 14 11 12 71 70 37 17
8 Airdrieonians 4.056 95 28 11 5 145 85 44 1
9 Dundee 3.871 56 17 5 16 60 59 38 13
10 Partick Thistle 3.862 50 14 8 15 67 73 37 19
11 East Fife 2.758 49 14 7 19 70 79 40 20
12 Motherwell 2.736 55 16 7 20 70 86 43 14
13 Kilmarnock 2.627 47 13 8 18 57 73 39 21
14 Falkirk 2.576 42 11 9 19 63 77 39 23
15 Dunfermline Athletic 2.489 74 23 5 10 88 58 38 6
16 Hamilton Academical 2.050 70 21 7 11 89 64 39 7
17 Raith Rovers 1.950 41 12 5 21 62 71 38 25
18 Queen of the South 1.937 36 10 6 21 47 77 37 29
19 Third Lanark 1.274 58 17 7 14 75 59 38 12
20 Ayr United 1.035 68 20 8 15 92 103 43 8
21 Stenhousemuir 0.975 53 15 8 14 87 72 37 16
22 Queen's Park 0.927 54 16 6 16 81 58 38 15
23 St Johnstone 0.845 64 20 4 16 80 67 40 10
24 Albion Rovers 0.840 42 10 12 15 57 81 37 24
25 Morton 0.762 52 15 7 17 74 82 39 18
26 Forfar Athletic 0.731 44 12 8 18 79 104 38 22
27 Arbroath 0.544 40 10 10 18 70 93 38 26
28 Cowdenbeath 0.534 37 10 7 22 70 95 39 28
29 Alloa Athletic 0.524 39 10 9 19 66 91 38 27
30 Stirling Albion 0.464 14 4 2 31 34 131 37 34
31 Dundee United 0.423 33 9 6 22 63 88 37 31
32 Brechin City 0.396 35 10 5 22 62 100 37 30
33 Inverness Caledonian 0.259 17 5 2 1 31 19 8 32
34 Buckie Thistle 0.232 16 5 1 1 20 11 7 33
35 Brora Rangers 0.022 4 1 1 1 7 11 3 44
36 Forres Mechanics 0 13 4 1 1 24 11 6 35
36 Inverness Thistle 0 12 4 0 1 15 5 5 36
36 Peebles Rovers 0 10 3 1 1 16 10 5 37
36 Fraserburgh 0 9 3 0 1 19 6 4 38
36 Inverness Clachn'din 0 8 2 2 1 14 8 5 39
36 Lossiemouth 0 7 2 1 1 12 7 4 40
36 Peterhead 0 6 2 0 1 11 5 3 41
36 St Cuthberts Wndrs 0 6 2 0 1 11 8 3 42
36 Girvan Amateurs 0 4 1 1 1 8 7 3 43
36 Elgin City 0 4 1 1 1 7 11 3 45
36 Duns 0 4 1 1 1 5 9 3 46
36 Gala Fairydean 0 3 1 0 1 5 4 2 47
36 Huntly 0 3 1 0 1 6 6 2 48
36 Coldstream 0 3 1 0 1 4 4 2 49
36 Montrose 0 3 1 0 1 4 4 2 50
36 Vale of Leithen 0 3 1 0 1 3 6 2 51
36 Babcock and Wilcox 0 3 1 0 1 3 8 2 52
36 Berwick Rangers 0 1 0 1 1 4 5 2 53
36 Aberdeen University 0 1 0 1 1 3 5 2 54
36 Tarff Rovers 0 1 0 1 1 1 4 2 55
36 Ross County 0 1 0 1 1 3 7 2 56
36 Civil Service Str 0 0 0 0 1 2 3 1 57
36 Eyemouth United 0 0 0 0 1 2 3 1 58
36 Stranraer 0 0 0 0 1 1 2 1 59
36 Keith 0 0 0 0 1 3 5 1 60
36 Newton Stewart Ath 0 0 0 0 1 3 5 1 61
36 East Stirlingshire 0 0 0 0 1 2 4 1 62
36 Whithorn 0 0 0 0 1 2 4 1 63
36 Wick Academy 0 0 0 0 1 2 4 1 64
36 Dumbarton 0 0 0 0 1 1 3 1 65
36 Shawfield Amateurs 0 0 0 0 1 1 3 1 66
36 Chirnside United 0 0 0 0 1 1 4 1 67
36 Rothes 0 0 0 0 1 3 7 1 68
36 Glasgow University 0 0 0 0 1 1 5 1 69
36 Vale of Atholl 0 0 0 0 1 1 5 1 70
36 Deveronvale 0 0 0 0 1 0 4 1 71
36 Wigtown and Bladnoch 0 0 0 0 1 0 5 1 72
36 Burntisland Shipyard 0 0 0 0 1 1 7 1 73
36 Selkirk 0 0 0 0 1 1 7 1 74
36 Murrayfield Amateurs 0 0 0 0 1 0 6 1 75
36 Edinburgh University 0 0 0 0 1 0 9 1 76

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

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