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

Scotland: Tier 1 1946-47

1938-39 1947-48

EP Pts W D L GF GA GP PR
1 Rangers 15.682 46 21 4 5 76 26 30 1
2 Hibernian 14.355 44 19 6 5 69 33 30 2
3 Aberdeen 10.383 39 16 7 7 58 41 30 3
4 Heart of Midlothian 9.987 38 16 6 8 52 43 30 4
5 Partick Thistle 7.402 35 16 3 11 74 59 30 5
6 Morton 5.777 34 12 10 8 58 45 30 6
7 Celtic 5.384 32 13 6 11 53 55 30 7
8 Motherwell 5.043 29 12 5 13 58 54 30 8
9 Falkirk 4.366 26 8 10 12 62 61 30 11
10 Third Lanark 4.175 28 11 6 13 56 64 30 9
11 Clyde 3.637 27 9 9 12 55 65 30 10
12 Queen of the South 3.524 26 9 8 13 44 69 30 12
13 St. Mirren 3.333 22 9 4 17 47 65 30 14
14 Queen's Park 2.890 22 8 6 16 47 60 30 13
15 Kilmarnock 2.694 21 6 9 15 44 66 30 15
16 Hamilton Academical 1.370 11 2 7 21 38 85 30 16

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

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