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

Scotland 1955-56

1954-55 1956-57

EP Pts W D L GF GA GP PR
1 Rangers 13.620 101 31 8 7 121 43 46 1
2 Aberdeen 10.569 92 27 11 7 114 67 45 3
3 Heart of Midlothian 8.395 95 29 8 11 137 59 48 2
4 Hibernian 7.161 75 22 9 11 99 62 42 10
5 Celtic 6.784 82 24 10 11 81 53 45 8
6 Motherwell 4.313 69 19 12 15 84 71 46 12
7 Airdrieonians 4.224 62 17 11 16 113 118 44 16
8 Partick Thistle 4.192 64 19 7 17 79 70 43 15
9 Queen of the South 4.059 60 18 6 20 81 101 44 19
10 Raith Rovers 4.031 60 16 12 19 72 100 47 20
11 Kilmarnock 3.868 59 15 14 14 64 56 43 21
12 East Fife 3.266 50 15 5 21 70 85 41 28
13 Dundee 2.747 54 15 9 19 69 76 43 25
14 St Mirren 2.585 59 16 11 21 90 93 48 22
15 Falkirk 2.494 46 13 7 21 70 93 41 30
16 Clyde 2.356 43 12 7 25 72 93 44 32
17 Dunfermline Athletic 2.228 40 11 7 23 54 103 41 35
18 Queen's Park 1.963 87 26 9 10 91 41 45 6
19 St Johnstone 1.501 88 27 7 12 105 58 46 4
20 Stirling Albion 1.231 27 7 6 29 33 98 42 36
21 Stenhousemuir 1.096 72 22 6 16 94 70 44 11
22 Ayr United 1.020 85 27 4 13 118 76 44 7
23 Dumbarton 0.820 88 27 7 12 107 80 46 5
24 Brechin City 0.777 80 23 11 15 90 83 49 9
25 Dundee United 0.583 61 15 16 14 97 91 45 17
26 Cowdenbeath 0.464 65 19 8 17 103 106 44 14
27 Third Lanark 0.460 58 18 4 21 87 79 43 23
28 Morton 0.449 66 20 6 20 93 85 46 13
29 Stranraer 0.418 54 16 6 20 90 111 42 26
30 Berwick Rangers 0.405 51 14 9 20 67 90 43 27
31 Hamilton Academical 0.372 60 17 9 19 108 107 45 18
32 Alloa Athletic 0.352 58 16 10 19 90 91 45 24
33 East Stirlingshire 0.312 49 13 10 19 84 110 42 29
34 Albion Rovers 0.272 43 10 13 21 67 99 44 33
35 Arbroath 0.248 41 11 8 26 59 93 45 34
36 Forfar Athletic 0.209 45 12 9 23 75 98 44 31
37 Peebles Rovers 0.078 13 3 4 1 19 19 8 38
38 Montrose 0.065 21 6 3 33 55 154 42 37
39 Inverness Thistle 0.015 7 2 1 1 14 5 4 41
40 Lossiemouth 0 9 3 0 1 12 6 4 39
40 Inverness Clachn'din 0 9 3 0 1 14 9 4 40
40 Keith 0 6 2 0 1 11 4 3 42
40 Gala Fairydean 0 6 2 0 1 12 8 3 43
40 Ross County 0 6 2 0 1 9 7 3 44
40 Forres Mechanics 0 6 2 0 1 9 8 3 45
40 Selkirk 0 6 2 0 1 6 5 3 46
40 Tarff Rovers 0 4 1 1 1 5 5 3 47
40 Shawfield Amateurs 0 4 1 1 1 6 9 3 48
40 Elgin City 0 3 1 0 1 9 3 2 49
40 Whithorn 0 3 1 0 1 9 3 2 50
40 Eyemouth United 0 3 1 0 1 8 5 2 51
40 Inverness Caledonian 0 3 1 0 1 7 6 2 52
40 Duns 0 3 1 0 1 4 3 2 53
40 Huntly 0 3 1 0 1 6 6 2 54
40 Fraserburgh 0 3 1 0 1 3 4 2 55
40 St Cuthberts Wndrs 0 3 1 0 1 3 4 2 56
40 Buckie Thistle 0 3 1 0 1 4 6 2 57
40 Murrayfield Amateurs 0 1 0 1 1 3 4 2 58
40 Girvan Amateurs 0 1 0 1 1 2 3 2 59
40 Burntisland Shipyard 0 0 0 0 1 2 3 1 60
40 Glasgow University 0 0 0 0 1 2 3 1 61
40 Peterhead 0 0 0 0 1 1 2 1 62
40 Rothes 0 0 0 0 1 1 2 1 63
40 Newton Stewart Ath 0 0 0 0 1 3 5 1 64
40 Civil Service Str 0 0 0 0 1 2 4 1 65
40 Coldstream 0 0 0 0 1 2 4 1 66
40 Aberdeen University 0 0 0 0 1 1 3 1 67
40 Vale of Atholl 0 0 0 0 1 1 3 1 68
40 Babcock and Wilcox 0 0 0 0 1 2 5 1 69
40 Nairn County 0 0 0 0 1 1 4 1 70
40 Deveronvale 0 0 0 0 1 0 3 1 71
40 Brora Rangers 0 0 0 0 1 1 5 1 72
40 Edinburgh University 0 0 0 0 1 0 7 1 73
40 Vale of Leithen 0 0 0 0 1 0 7 1 74
40 Wick Academy 0 0 0 0 1 0 7 1 75
40 Wigtown and Bladnoch 0 0 0 0 1 0 7 1 76
40 Chirnside United 0 0 0 0 1 1 9 1 77

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

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