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

Scotland 1917-18

1916-17 1918-19

EP Pts W D L GF GA GP PR
1 Celtic 20.764 79 24 7 3 66 26 34 2
2 Rangers 19.607 81 25 6 3 66 24 34 1
3 Kilmarnock 7.778 62 19 5 10 69 41 34 3
4 Partick Thistle 6.681 54 14 12 8 51 37 34 6
5 Morton 6.178 60 17 9 8 53 42 34 4
6 Motherwell 5.727 57 16 9 9 70 51 34 5
7 Queen's Park 3.446 48 14 6 14 64 63 34 7
8 Dumbarton 3.357 47 13 8 13 48 49 34 9
9 Airdrieonians 3.316 36 10 6 18 46 58 34 14
10 Clydebank 3.285 47 14 5 15 55 56 34 8
11 Falkirk 3.126 36 9 9 16 38 58 34 15
12 St Mirren 3.098 40 11 7 16 42 50 34 11
13 Heart of Midlothian 3.044 46 14 4 16 41 58 34 10
14 Third Lanark 3.037 37 10 7 17 56 62 34 13
15 Hamilton Academical 2.570 39 11 6 17 52 63 34 12
16 Hibernian 2.065 33 8 9 17 42 57 34 16
17 Ayr United 1.604 24 5 9 20 32 61 34 18
18 Clyde 1.318 29 9 2 23 37 72 34 17

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

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