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

Scotland 1924-25

1923-24 1925-26

EP Pts W D L GF GA GP PR
1 Rangers 15.048 97 29 10 4 88 36 43 1
2 Airdrieonians 11.683 88 27 7 7 94 34 41 2
3 Hibernian 6.837 74 22 8 9 78 45 39 4
4 Celtic 6.219 82 24 10 12 95 48 46 3
5 Dundee 4.285 66 19 9 17 62 59 45 10
6 Partick Thistle 4.202 58 16 10 15 69 64 41 20
7 Cowdenbeath 4.010 58 16 10 13 77 68 39 19
8 St Mirren 3.812 69 21 6 17 72 66 44 7
9 Heart of Midlothian 3.604 50 13 11 16 69 71 40 34
10 Hamilton Academical 3.042 61 19 4 21 63 68 44 16
11 Raith Rovers 2.935 57 16 9 17 59 63 42 22
12 St Johnstone 2.927 47 12 11 16 58 75 39 37
13 Falkirk 2.803 51 14 9 19 51 57 42 31
14 Queen's Park 2.740 47 13 8 19 51 75 40 38
15 Kilmarnock 2.712 54 15 9 18 64 67 42 24
16 Aberdeen 2.439 54 14 12 18 53 60 44 26
17 Motherwell 2.421 47 12 11 19 63 68 42 36
18 Morton 2.353 46 12 10 18 47 73 40 41
19 Third Lanark 2.093 41 11 8 20 54 89 39 46
20 Ayr United 1.874 44 12 8 20 46 67 40 45
21 Dundee United 0.895 73 21 10 9 64 50 40 5
22 Broxburn United 0.881 66 19 9 14 56 59 42 11
23 Clydebank 0.879 68 20 8 10 65 42 38 8
24 Arthurlie 0.799 53 15 8 17 59 63 40 28
25 Clyde 0.712 71 21 8 12 76 44 41 6
26 Alloa Athletic 0.667 66 18 12 11 61 44 41 9
27 Bo'ness 0.644 63 17 12 14 75 52 43 13
28 Arbroath 0.638 65 18 11 13 55 52 42 12
29 Dumbarton 0.536 58 16 10 14 47 46 40 21
30 King's Park 0.456 53 15 8 16 54 50 39 27
31 Stenhousemuir 0.456 52 15 7 17 53 62 39 30
32 Armadale 0.453 54 16 6 19 59 66 41 25
33 East Fife 0.450 56 17 5 17 67 61 39 23
34 Dunfermline Athletic 0.439 50 14 8 18 63 59 40 33
35 Albion Rovers 0.387 51 15 6 19 60 68 40 32
36 Bathgate 0.357 46 12 10 17 58 78 39 39
37 East Stirlingshire 0.317 44 12 8 20 62 76 40 44
38 St Bernard's 0.309 46 14 4 21 54 76 39 40
39 Johnstone 0.286 40 12 4 23 53 90 39 47
40 Forfar Athletic 0.247 37 10 7 22 46 68 39 50
41 Solway Star 0.171 63 17 12 6 52 38 35 14
42 Nithsdale Wanderers 0.145 61 18 7 6 83 43 31 15
43 Queen of the South 0.135 58 17 7 8 68 35 32 18
44 Vale of Leven 0.106 60 18 6 10 69 50 34 17
45 Helensburgh 0.073 45 12 9 12 69 63 33 42
46 Dykehead (Shotts) 0.067 38 9 11 12 34 53 32 49
47 Lochgelly United 0.066 52 16 4 12 64 43 32 29
48 Peebles Rovers 0.061 47 13 8 12 70 60 33 35
49 Leith Athletic 0.056 44 13 5 13 49 46 31 43
50 Royal Albert 0.047 38 10 8 14 58 65 32 48
51 Galston 0.047 36 10 6 15 42 76 31 52
52 Beith 0.043 33 9 6 15 62 74 30 53
53 Clackmannan 0.039 36 10 6 15 35 51 31 51
54 Brechin City 0.038 31 9 4 16 51 61 29 54
55 Mid-Annandale 0.030 28 7 7 16 47 70 30 56
56 Montrose 0.028 31 9 4 19 45 70 32 55
57 St Cuthberts Wndrs 0.001 1 0 1 1 0 5 2 57
58 Clydebank 0 0 0 0 1 0 1 1 58
58 Civil Service Str 0 0 0 0 1 1 3 1 59
58 Peterhead 0 0 0 0 1 1 3 1 60
58 Inverness Caledonian 0 0 0 0 1 0 2 1 61
58 Newton Stewart Ath 0 0 0 0 1 0 2 1 62
58 Arbroath Athletic 0 0 0 0 1 0 3 1 63
58 Inverness Citadel 0 0 0 0 1 2 6 1 64
58 Aberdeen University 0 0 0 0 1 1 5 1 65
58 Breadalbane (Aberfd) 0 0 0 0 1 0 4 1 66
58 Inverness Clachn'din 0 0 0 0 1 0 4 1 67
58 Stranraer 0 0 0 0 1 1 9 1 68

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

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