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

Scotland: Tier 1 1917-18

1916-17 1918-19

EP Pts W D L GF GA GP PR
1 Celtic 19.050 55 24 7 3 66 26 34 2
2 Rangers 18.800 56 25 6 3 66 24 34 1
3 Kilmarnock 7.418 43 19 5 10 69 41 34 3
4 Morton 7.030 43 17 9 8 53 42 34 4
5 Partick Thistle 6.804 40 14 12 8 51 37 34 6
6 Motherwell 6.041 41 16 9 9 70 51 34 5
7 Queen's Park 3.625 34 14 6 14 64 63 34 7
8 Dumbarton 3.466 34 13 8 13 48 49 34 8
9 St. Mirren 3.439 29 11 7 16 42 50 34 11
10 Falkirk 3.432 27 9 9 16 38 58 34 14
11 Clydebank 3.341 33 14 5 15 55 56 34 9
12 Airdrieonians 3.247 26 10 6 18 46 58 34 15
13 Heart of Midlothian 3.176 32 14 4 16 41 58 34 10
14 Third Lanark 3.012 27 10 7 17 56 62 34 13
15 Hamilton Academical 2.798 28 11 6 17 52 63 34 12
16 Hibernian 2.160 25 8 9 17 42 57 34 16
17 Ayr United 1.729 19 5 9 20 32 61 34 18
18 Clyde 1.432 20 9 2 23 37 72 34 17

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

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