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

Scotland 1923-24

1922-23 1924-25

EP Pts W D L GF GA GP PR
1 Rangers 13.053 90 27 9 5 78 25 41 2
2 Airdrieonians 8.959 91 26 13 8 90 50 47 1
3 Hibernian 5.477 74 19 17 13 80 60 49 5
4 Raith Rovers 5.467 68 20 8 14 60 39 42 7
5 Celtic 5.197 63 17 12 10 56 35 39 11
6 Partick Thistle 5.044 67 18 13 14 79 61 45 8
7 Dundee 4.896 62 16 14 11 72 58 41 14
8 St Mirren 4.471 60 16 12 12 56 48 40 16
9 Aberdeen 4.362 63 17 12 16 46 43 45 12
10 Heart of Midlothian 3.913 62 17 11 15 74 53 43 13
11 Ayr United 3.806 58 15 13 17 47 66 45 21
12 Motherwell 3.625 58 17 7 17 66 69 41 20
13 Hamilton Academical 3.528 59 17 8 18 57 61 43 18
14 Morton 3.411 53 16 5 18 49 56 39 31
15 Falkirk 3.242 58 17 7 20 56 56 44 19
16 Kilmarnock 2.857 47 13 8 19 50 66 40 41
17 Clyde 2.670 46 12 10 20 47 73 42 44
18 Queen's Park 2.189 50 13 11 19 51 65 43 36
19 Third Lanark 2.071 42 11 9 20 54 81 40 46
20 Clydebank 1.832 35 10 5 23 42 71 38 52
21 Cowdenbeath 1.044 81 24 9 7 83 35 40 3
22 St Johnstone 1.021 81 23 12 5 82 37 40 4
23 St Bernard's 0.742 54 14 12 18 55 57 44 28
24 King's Park 0.532 59 16 11 13 67 58 40 17
25 Bathgate 0.518 61 16 13 11 59 51 40 15
26 Stenhousemuir 0.503 64 17 13 12 60 48 42 10
27 Albion Rovers 0.491 57 15 12 12 68 56 39 22
28 Alloa Athletic 0.420 53 15 8 19 50 61 42 32
29 Dundee United 0.419 51 12 15 12 41 42 39 35
30 Armadale 0.403 57 17 6 17 58 66 40 23
31 Johnstone 0.391 55 16 7 16 61 59 39 26
32 Dunfermline Athletic 0.371 53 14 11 14 52 47 39 30
33 Bo'ness 0.370 54 14 12 15 47 57 41 29
34 Dumbarton 0.364 56 17 5 17 56 58 39 24
35 East Fife 0.356 54 15 9 16 57 50 40 27
36 Forfar Athletic 0.338 52 15 7 18 46 71 40 33
37 Broxburn United 0.277 44 12 8 19 48 61 39 45
38 Arbroath 0.269 47 13 8 19 50 55 40 40
39 Vale of Leven 0.255 49 13 10 18 45 68 41 38
40 Arthurlie 0.128 68 21 5 4 59 24 30 6
41 East Stirlingshire 0.089 65 19 8 6 72 39 33 9
42 Lochgelly United 0.073 16 4 4 31 22 90 39 56
43 Dumbarton Harp 0.063 39 10 9 13 42 56 32 48
44 Queen of the South 0.061 55 15 10 7 73 33 32 25
45 Montrose 0.051 51 15 6 9 60 48 30 34
46 Beith 0.044 46 14 4 13 51 44 31 42
47 Clydebank 0.040 6 2 0 1 14 5 3 57
48 Dykehead (Shotts) 0.037 49 16 1 14 55 43 31 37
49 Nithsdale Wanderers 0.037 46 13 7 10 42 35 30 43
50 Mid-Annandale 0.034 47 14 5 13 62 50 32 39
51 Thornhill 0.032 1 0 1 1 0 4 2 60
52 Solway Star 0.031 36 9 9 12 42 48 30 51
53 Royal Albert 0.029 40 12 4 14 44 53 30 47
54 Clackmannan 0.025 37 10 7 14 38 56 31 50
55 Galston 0.022 39 12 3 17 59 78 32 49
56 Peebles Rovers 0.018 29 7 8 15 43 56 30 53
57 Brechin City 0.015 18 4 6 21 28 79 31 55
58 Helensburgh 0.013 22 5 7 18 46 72 30 54
59 Buckie Thistle 0.005 1 0 1 1 2 5 2 59
60 Leith Athletic 0.003 1 0 1 1 1 2 2 58
61 Coldstream 0 0 0 0 1 0 1 1 61
61 Forres Mechanics 0 0 0 0 1 1 3 1 62
61 Inverness Thistle 0 0 0 0 1 1 3 1 63
61 Fraserburgh 0 0 0 0 1 0 3 1 64
61 Moorpark 0 0 0 0 1 0 3 1 65
61 Gala Fairydean 0 0 0 0 1 2 6 1 66
61 Breadalbane (Aberfd) 0 0 0 0 1 0 5 1 67
61 Inverness Caledonian 0 0 0 0 1 0 5 1 68
61 Blairgowrie 0 0 0 0 1 2 8 1 69
61 Newton Stewart Ath 0 0 0 0 1 1 8 1 70
61 Stranraer 0 0 0 0 1 0 8 1 71
61 Dunkeld and Birnam 0 0 0 0 1 0 11 1 72

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

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