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

Scotland 1925-26

1924-25 1926-27

EP Pts W D L GF GA GP PR
1 Celtic 12.726 98 30 8 6 118 44 44 1
2 St Mirren 8.510 86 26 8 11 76 53 45 2
3 Airdrieonians 7.703 83 26 5 12 110 60 43 5
4 Heart of Midlothian 6.576 79 23 10 10 100 64 43 6
5 Rangers 6.407 75 23 6 14 89 56 43 8
6 Motherwell 5.633 65 19 8 12 67 49 39 12
7 Falkirk 4.773 62 16 14 11 76 60 41 15
8 Kilmarnock 4.339 58 17 7 15 79 82 39 21
9 Cowdenbeath 3.954 60 18 6 15 88 70 39 17
10 Aberdeen 3.862 65 17 14 16 68 60 47 13
11 Dundee 3.583 55 15 10 16 49 62 41 24
12 Partick Thistle 3.005 49 12 13 16 72 76 41 33
13 Morton 2.776 53 15 8 20 66 91 43 27
14 Hamilton Academical 2.765 51 14 9 17 70 84 40 30
15 Queen's Park 2.540 52 16 4 20 76 90 40 29
16 Dundee United 2.446 41 11 8 22 54 82 41 43
17 Hibernian 2.429 46 13 7 21 76 81 41 36
18 St Johnstone 2.122 45 11 12 20 58 84 43 40
19 Raith Rovers 2.042 40 12 4 24 50 85 40 44
20 Clydebank 1.430 29 7 8 23 55 92 38 52
21 Dunfermline Athletic 1.206 85 26 7 6 109 46 39 3
22 Clyde 0.868 84 26 6 10 93 55 42 4
23 Third Lanark 0.860 75 22 9 12 90 52 43 7
24 Ayr United 0.736 72 20 12 7 78 42 39 9
25 East Fife 0.667 69 20 9 10 99 75 39 11
26 Stenhousemuir 0.608 71 20 11 10 77 55 41 10
27 Arbroath 0.537 59 18 5 18 88 76 41 20
28 Dumbarton 0.464 63 17 12 15 67 89 44 14
29 Albion Rovers 0.452 61 18 7 17 89 74 42 16
30 Bo'ness 0.413 60 18 6 17 70 75 41 19
31 King's Park 0.397 54 15 9 16 73 79 40 26
32 Arthurlie 0.361 60 18 6 17 88 82 41 18
33 Nithsdale Wanderers 0.286 52 15 7 17 79 88 39 28
34 Armadale 0.278 47 14 5 20 86 106 39 35
35 Queen of the South 0.269 39 10 9 21 64 95 40 45
36 Alloa Athletic 0.268 44 12 8 20 57 68 40 41
37 St Bernard's 0.248 50 15 5 19 87 90 39 31
38 East Stirlingshire 0.199 37 10 7 22 63 94 39 47
39 Bathgate 0.155 34 9 7 26 71 116 42 49
40 Dykehead (Shotts) 0.131 48 14 6 10 64 52 30 34
41 Forfar Athletic 0.110 55 17 4 10 68 49 31 23
42 Broxburn United 0.103 19 4 7 29 56 129 40 55
43 Leith Athletic 0.090 56 17 5 9 76 47 31 22
44 Vale of Leven 0.086 45 14 3 11 80 58 28 37
45 Helensburgh 0.086 54 16 6 8 66 47 30 25
46 Royal Albert 0.072 49 16 1 12 75 62 29 32
47 Mid-Annandale 0.063 45 14 3 13 50 58 30 39
48 Solway Star 0.053 37 10 7 15 55 67 32 46
49 Montrose 0.052 42 13 3 12 61 63 28 42
50 Lochgelly United 0.045 36 9 9 12 58 66 30 48
51 Brechin City 0.045 45 14 3 14 82 78 31 38
52 Peebles Rovers 0.043 31 10 1 18 60 84 29 51
53 Beith 0.042 31 9 4 14 58 68 27 50
54 Galston 0.041 16 4 4 7 38 46 15 56
55 Clackmannan 0.023 23 5 8 12 42 74 25 54
56 Johnstone 0.022 28 7 7 17 57 79 31 53
57 Buckie Thistle 0.005 1 0 1 1 2 3 2 57
58 Clydebank 0 0 0 0 1 2 4 1 58
58 Civil Service Str 0 0 0 0 1 0 2 1 59
58 Inverness Caledonian 0 0 0 0 1 0 2 1 60
58 Peterhead 0 0 0 0 1 2 5 1 61
58 Douglas Wanderers 0 0 0 0 1 1 4 1 62
58 Keith 0 0 0 0 1 3 7 1 63
58 Inverness Clachn'din 0 0 0 0 1 0 4 1 64
58 Nairn County 0 0 0 0 1 1 6 1 65
58 Moorpark 0 0 0 0 1 0 7 1 66
58 Berwick Rangers 0 0 0 0 1 0 8 1 67
58 Breadalbane (Aberfd) 0 0 0 0 1 0 10 1 68
58 Thornhill 0 0 0 0 1 1 12 1 69

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

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