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

Scotland: Tier 1 1916-17

1915-16 1917-18

EP Pts W D L GF GA GP PR
1 Celtic 20.705 64 27 10 1 79 17 38 1
2 Morton 9.934 54 24 6 8 72 39 38 2
3 Rangers 8.936 53 24 5 9 68 32 38 3
4 Third Lanark 7.226 49 19 11 8 53 37 38 5
5 Airdrieonians 7.107 50 21 8 9 71 38 38 4
6 Kilmarnock 6.117 43 18 7 13 69 46 38 6
7 St. Mirren 4.579 40 15 10 13 49 43 38 7
8 Partick Thistle 3.648 35 14 7 17 44 43 38 9
9 Motherwell 3.328 38 16 6 16 57 59 38 8
10 Clyde 3.314 34 10 14 14 41 53 38 13
11 Dumbarton 3.265 35 12 11 15 56 73 38 10
12 Falkirk 3.237 34 12 10 16 58 57 38 12
13 Hamilton Academical 3.134 35 13 9 16 54 73 38 11
14 Hibernian 2.881 30 10 10 18 57 72 38 17
15 Dundee 2.673 30 13 4 21 58 71 38 16
16 Heart of Midlothian 2.671 32 14 4 20 44 59 38 14
17 Ayr United 2.210 31 12 7 19 47 59 38 15
18 Aberdeen 1.870 21 7 7 24 36 68 38 20
19 Queen's Park 1.737 29 11 7 20 56 81 38 18
20 Raith Rovers 1.427 23 8 7 23 42 91 38 19

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

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