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

Scotland 1927-28

1926-27 1928-29

EP Pts W D L GF GA GP PR
1 Rangers 18.626 104 32 8 4 130 39 44 1
2 Celtic 11.305 93 28 9 7 108 46 44 2
3 Motherwell 10.693 88 26 10 7 101 52 43 3
4 Heart of Midlothian 5.247 74 22 8 12 100 54 42 5
5 Partick Thistle 4.989 70 21 7 14 103 69 42 6
6 Aberdeen 4.428 62 19 5 15 74 65 39 14
7 Kilmarnock 4.139 62 17 11 14 77 86 42 15
8 St Mirren 4.094 68 20 8 13 88 83 41 7
9 Falkirk 4.023 60 18 6 18 83 73 42 16
10 Cowdenbeath 3.323 58 17 7 16 80 72 40 17
11 Hibernian 3.199 58 16 10 17 80 78 43 18
12 Queen's Park 3.127 55 16 7 21 82 87 44 21
13 Airdrieonians 2.939 53 14 11 16 66 74 41 24
14 Dundee 2.920 56 16 8 18 74 87 42 20
15 St Johnstone 2.416 51 14 9 17 68 70 40 29
16 Raith Rovers 2.218 44 12 8 21 67 96 41 34
17 Hamilton Academical 1.843 42 12 6 22 71 90 40 35
18 Bo'ness 1.649 35 9 8 22 48 88 39 38
19 Clyde 1.633 41 10 11 18 47 78 39 37
20 Ayr United 0.905 81 25 6 9 121 64 40 4
21 Dunfermline Athletic 0.714 25 7 4 31 49 132 42 40
22 Albion Rovers 0.574 64 20 4 18 91 73 42 11
23 Dundee United 0.435 65 18 11 13 87 79 42 10
24 King's Park 0.407 66 18 12 11 92 73 41 9
25 Third Lanark 0.401 66 19 9 12 111 68 40 8
26 Forfar Athletic 0.345 64 19 7 14 86 76 40 12
27 East Fife 0.332 62 18 8 14 89 76 40 13
28 Arthurlie 0.314 58 18 4 17 85 92 39 19
29 East Stirlingshire 0.277 52 14 10 15 84 82 39 25
30 Stenhousemuir 0.275 53 16 5 19 81 84 40 22
31 Dumbarton 0.269 52 16 4 19 68 75 39 27
32 Leith Athletic 0.257 48 13 9 17 78 74 39 33
33 Alloa Athletic 0.245 53 14 11 16 76 79 41 23
34 St Bernard's 0.242 50 15 5 19 76 106 39 32
35 Arbroath 0.222 52 16 4 19 86 89 39 26
36 Queen of the South 0.220 51 15 6 18 93 108 39 30
37 Clydebank 0.215 51 16 3 19 78 80 38 28
38 Morton 0.203 50 14 8 18 73 89 40 31
39 Bathgate 0.176 41 10 11 18 63 84 39 36
40 Armadale 0.146 35 9 8 23 58 117 40 39
41 Nithsdale Wanderers 0.022 3 1 0 1 3 6 2 44
42 Brechin City 0 3 1 0 1 4 5 2 41
42 Leith Amateurs 0 3 1 0 1 3 4 2 42
42 Keith 0 3 1 0 1 6 8 2 43
42 Vale of Atholl 0 3 1 0 1 3 6 2 45
42 Forres Mechanics 0 3 1 0 1 2 8 2 46
42 Elgin City 0 0 0 0 1 1 2 1 47
42 Newton Stewart Ath 0 0 0 0 1 1 2 1 48
42 Vale of Leven 0 0 0 0 1 1 2 1 49
42 Stranraer 0 0 0 0 1 2 4 1 50
42 Berwick Rangers 0 0 0 0 1 1 3 1 51
42 Lochgelly United 0 0 0 0 1 1 3 1 52
42 Fraserburgh 0 0 0 0 1 0 2 1 53
42 Dalbeattie Star 0 0 0 0 1 2 5 1 54
42 Beith 0 0 0 0 1 1 4 1 55
42 Civil Service Str 0 0 0 0 1 0 3 1 56
42 Clydebank 0 0 0 0 1 0 3 1 57
42 Huntly 0 0 0 0 1 0 3 1 58
42 Mid-Annandale 0 0 0 0 1 3 7 1 59
42 Glasgow University 0 0 0 0 1 1 5 1 60
42 Montrose 0 0 0 0 1 0 5 1 61
42 Inverness Caledonian 0 0 0 0 1 1 9 1 62
42 Clackmannan 0 0 0 0 1 0 10 1 63
42 Johnstone 0 0 0 0 1 0 12 1 64

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

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