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

Scotland: Tier 1 1938-39

1937-38 1946-47

EP Pts W D L GF GA GP PR
1 Rangers 14.474 59 25 9 4 112 55 38 1
2 Celtic 7.675 48 20 8 10 99 53 38 2
3 Aberdeen 7.514 46 20 6 12 91 61 38 3
4 Heart of Midlothian 6.276 45 20 5 13 98 70 38 4
5 Falkirk 6.045 45 19 7 12 73 63 38 5
6 Hamilton Academical 5.862 41 18 5 15 67 71 38 7
7 Queen of the South 5.687 43 17 9 12 69 64 38 6
8 Kilmarnock 4.993 39 15 9 14 73 86 38 10
9 Clyde 4.877 39 17 5 16 78 70 38 9
10 St Johnstone 4.835 40 17 6 15 85 82 38 8
11 Motherwell 4.273 37 16 5 17 82 86 38 12
12 Partick Thistle 4.256 38 17 4 17 74 87 38 11
13 Hibernian 4.028 35 14 7 17 68 69 38 13
14 Ayr United 3.620 35 13 9 16 76 83 38 14
15 Arbroath 2.949 30 11 8 19 54 75 38 16
16 St. Mirren 2.747 29 11 7 20 57 80 38 18
17 Albion Rovers 2.734 30 12 6 20 65 90 38 17
18 Third Lanark 2.691 32 12 8 18 80 96 38 15
19 Queen's Park 2.503 27 11 5 22 57 83 38 19
20 Raith Rovers 1.960 22 10 2 26 65 99 38 20

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

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