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

Scotland 1936-37

1935-36 1937-38

EP Pts W D L GF GA GP PR
1 Rangers 14.274 87 26 9 4 88 33 39 3
2 Aberdeen 10.007 89 27 8 8 104 49 43 2
3 Celtic 9.060 94 28 10 8 110 67 46 1
4 Heart of Midlothian 8.381 81 26 3 12 118 63 41 6
5 Motherwell 7.417 83 25 8 10 112 63 43 5
6 Third Lanark 5.502 70 21 7 13 87 66 41 9
7 Falkirk 4.057 66 20 6 14 104 69 40 12
8 Hamilton Academical 3.957 68 21 5 16 103 101 42 10
9 Dundee 3.847 58 14 16 12 64 71 42 16
10 Clyde 3.804 67 20 7 17 74 73 44 11
11 St Johnstone 3.188 53 15 8 17 80 71 40 18
12 Kilmarnock 2.813 51 14 9 16 61 72 39 21
13 Partick Thistle 2.663 52 13 13 16 81 72 42 19
14 Queen's Park 2.246 42 10 12 18 53 80 40 27
15 Queen of the South 2.103 38 10 8 23 53 99 41 32
16 Morton 1.962 85 26 7 7 126 51 40 4
17 St Mirren 1.926 49 14 7 21 74 84 42 22
18 Arbroath 1.922 48 14 6 21 59 88 41 23
19 Hibernian 1.537 34 7 13 20 60 87 40 35
20 Ayr United 1.224 79 25 4 6 122 51 35 7
21 Dunfermline Athletic 1.004 27 5 12 23 65 99 40 36
22 St Bernard's 0.796 70 22 4 9 101 54 35 8
23 Airdrieonians 0.756 65 19 8 9 88 63 36 13
24 Albion Rovers 0.619 25 6 7 28 64 128 41 37
25 Cowdenbeath 0.595 58 16 10 11 90 61 37 15
26 East Fife 0.548 59 17 8 12 85 55 37 14
27 East Stirlingshire 0.485 56 18 2 15 82 82 35 17
28 Stenhousemuir 0.450 47 14 5 17 83 89 36 24
29 Brechin City 0.401 36 9 9 18 66 100 36 34
30 Leith Athletic 0.365 45 13 6 17 69 74 36 26
31 Alloa Athletic 0.357 46 13 7 15 66 70 35 25
32 Raith Rovers 0.353 52 16 4 15 72 71 35 20
33 Montrose 0.295 40 11 7 18 66 104 36 30
34 Forfar Athletic 0.289 41 11 8 16 73 92 35 28
35 King's Park 0.271 40 12 4 21 66 125 37 31
36 Dumbarton 0.208 41 12 5 19 61 86 36 29
37 Dundee United 0.201 36 9 9 17 73 100 35 33
38 Edinburgh City 0.050 9 2 3 30 44 125 35 38
39 Duns 0.041 6 2 0 1 9 8 3 39
40 Murrayfield Amateurs 0.023 1 0 1 1 4 9 2 43
41 Elgin City 0.004 1 0 1 1 4 5 2 42
42 Inverness Caledonian 0 3 1 0 1 2 6 2 40
42 Solway Star 0 3 1 0 1 4 10 2 41
42 Dalbeattie Star 0 0 0 0 1 1 2 1 44
42 Babcock and Wilcox 0 0 0 0 1 0 1 1 45
42 Galston 0 0 0 0 1 1 3 1 46
42 Keith 0 0 0 0 1 1 3 1 47
42 Larbert 0 0 0 0 1 1 3 1 48
42 Beith 0 0 0 0 1 0 4 1 49
42 Moorpark 0 0 0 0 1 1 7 1 50
42 Bo'ness 0 0 0 0 1 0 6 1 51
42 Inverness Thistle 0 0 0 0 1 0 6 1 52
42 Peebles Rovers 0 0 0 0 1 0 6 1 53
42 Vale Ocuba 0 0 0 0 1 0 8 1 54

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

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