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

Scotland: Tier 1 1920-21

1919-20 1921-22

EP Pts W D L GF GA GP PR
1 Rangers 29.378 76 35 6 1 91 24 42 1
2 Celtic 13.306 66 30 6 6 86 35 42 2
3 Heart of Midlothian 4.613 50 20 10 12 74 49 42 3
4 Morton 4.307 44 15 14 13 66 58 42 9
5 Motherwell 3.759 48 19 10 13 75 51 42 5
6 Clyde 3.728 45 21 3 18 63 62 42 7
7 Dundee 3.680 49 19 11 12 54 48 42 4
8 Ayr United 3.310 40 14 12 16 62 69 42 14
9 Aberdeen 3.217 42 14 14 14 53 54 42 11
10 Hibernian 3.171 41 16 9 17 58 57 42 13
11 Partick Thistle 3.161 46 17 12 13 53 39 42 6
12 Kilmarnock 3.152 42 17 8 17 62 68 42 12
13 Hamilton Academical 2.886 40 14 12 16 44 57 42 15
14 Third Lanark 2.876 44 19 6 17 74 61 42 8
15 Airdrieonians 2.749 43 17 9 16 71 64 42 10
16 Raith Rovers 2.681 37 16 5 21 54 58 42 16
17 Albion Rovers 2.295 34 11 12 19 57 68 42 17
18 Queen's Park 2.238 33 11 11 20 45 80 42 19
19 Falkirk 1.895 34 11 12 19 54 72 42 18
20 Clydebank 1.742 28 7 14 21 47 72 42 20
21 Dumbarton 1.175 24 10 4 28 41 89 42 21
22 St. Mirren 0.682 18 7 4 31 43 92 42 22

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

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