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

Scotland 1912-13

1911-12 1913-14

EP Pts W D L GF GA GP PR
1 Rangers 12.068 81 25 6 6 80 45 37 1
2 Celtic 11.309 77 24 5 8 60 29 37 2
3 Falkirk 8.389 70 19 13 8 68 42 40 3
4 Heart of Midlothian 7.903 67 20 7 11 77 45 38 4
5 Airdrieonians 7.128 59 16 11 9 66 47 36 6
6 Hibernian 5.566 59 17 8 14 68 59 39 7
7 Motherwell 5.007 51 12 15 10 49 42 37 8
8 Clyde 4.798 62 16 14 13 48 49 43 5
9 Aberdeen 4.257 51 14 9 12 48 42 35 9
10 Dundee 3.673 45 10 15 14 41 49 39 18
11 Hamilton Academical 3.626 49 13 10 15 48 50 38 10
12 Kilmarnock 3.508 47 12 11 14 45 57 37 15
13 Raith Rovers 3.240 48 12 12 17 58 66 41 11
14 St Mirren 3.019 47 12 11 15 54 62 38 14
15 Third Lanark 2.883 37 8 13 15 31 43 36 23
16 Morton 2.724 41 11 8 17 53 64 36 21
17 Partick Thistle 1.853 37 11 4 21 44 57 36 24
18 Dumbarton 1.158 47 14 5 10 41 32 29 13
19 East Stirlingshire 0.977 46 12 10 7 44 29 29 17
20 Queen's Park 0.920 21 6 3 27 38 91 36 32
21 Ayr United 0.842 47 13 8 6 45 21 27 12
22 Dunfermline Athletic 0.796 46 13 7 7 46 30 27 16
23 Cowdenbeath 0.678 42 12 6 8 36 27 26 20
24 St Bernard's 0.655 40 12 4 12 36 37 28 22
25 Abercorn 0.637 43 12 7 8 34 36 27 19
26 Johnstone 0.441 33 9 6 11 31 43 26 26
27 Albion Rovers 0.424 33 10 3 13 38 40 26 25
28 Dundee United 0.364 28 6 10 11 36 47 27 29
29 Vale of Leven 0.353 29 8 5 13 28 44 26 28
30 St Johnstone 0.301 31 8 7 13 32 39 28 27
31 Arthurlie 0.256 26 7 5 14 37 49 26 30
32 Leith Athletic 0.246 23 5 8 13 26 47 26 31
33 Peebles Rovers 0 3 1 0 1 3 3 2 33
33 Inverness Caledonian 0 0 0 0 1 1 4 1 34
33 Aberdeen University 0 0 0 0 1 0 3 1 35
33 East Fife 0 0 0 0 1 0 3 1 36
33 Nithsdale Wanderers 0 0 0 0 1 0 3 1 37
33 Arbroath 0 0 0 0 1 0 4 1 38
33 Broxburn United 0 0 0 0 1 0 5 1 39
33 Thornhill 0 0 0 0 1 0 5 1 40

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

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