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

Scotland 1946-47

1938-39 1947-48

EP Pts W D L GF GA GP PR
1 Rangers 14.202 99 31 6 6 106 34 43 1
2 Hibernian 12.474 93 28 9 8 106 52 45 3
3 Aberdeen 12.259 95 29 8 10 100 65 47 2
4 Dundee 6.727 84 27 3 5 134 37 35 4
5 Heart of Midlothian 6.501 74 22 8 12 77 65 42 5
6 Airdrieonians 5.073 71 22 5 6 97 50 33 7
7 Partick Thistle 3.939 54 16 6 15 86 77 37 10
8 Motherwell 3.888 61 18 7 16 80 67 41 9
9 Morton 3.613 62 17 11 11 81 57 39 8
10 Celtic 3.023 54 15 9 13 65 67 37 11
11 East Fife 2.584 73 22 7 9 97 50 38 6
12 Third Lanark 2.354 47 13 8 18 67 82 39 13
13 Clyde 2.345 46 12 10 15 68 77 37 14
14 Falkirk 2.277 45 11 12 16 75 74 39 15
15 Queen of the South 1.896 41 11 8 18 55 86 37 20
16 St Mirren 1.832 35 10 5 22 56 87 37 28
17 Kilmarnock 1.689 36 9 9 19 56 79 37 26
18 Queen's Park 1.625 34 9 7 22 56 80 38 29
19 Raith Rovers 1.314 42 12 6 14 57 70 32 17
20 Dumbarton 1.313 37 11 4 20 59 73 35 24
21 Albion Rovers 1.170 43 12 7 13 63 76 32 16
22 Dundee United 1.158 47 14 5 16 68 73 35 12
23 Arbroath 1.112 41 11 8 18 64 94 37 19
24 Alloa Athletic 0.997 42 12 6 15 54 78 33 18
25 Ayr United 0.870 38 12 2 18 71 94 32 23
26 Dunfermline Athletic 0.862 39 12 3 18 61 98 33 21
27 Cowdenbeath 0.809 37 10 7 17 68 90 34 25
28 Stenhousemuir 0.731 35 9 8 15 50 69 32 27
29 St Johnstone 0.692 38 11 5 17 54 60 33 22
30 Hamilton Academical 0.673 21 4 9 25 54 104 38 30
31 East Stirlingshire 0 4 1 1 1 7 7 3 31
31 Inverness Clachn'din 0 1 0 1 1 2 6 2 32
31 Forfar Athletic 0 0 0 0 1 0 3 1 33
31 Peterhead 0 0 0 0 1 1 5 1 34
31 Edinburgh City 0 0 0 0 1 0 4 1 35
31 Stranraer 0 0 0 0 1 0 5 1 36

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

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