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

Scotland 1929-30

1928-29 1930-31

EP Pts W D L GF GA GP PR
1 Rangers 16.890 108 34 6 6 114 38 46 1
2 Motherwell 9.255 86 27 5 9 115 53 41 3
3 Aberdeen 7.394 83 25 8 9 102 68 42 6
4 Celtic 5.619 77 24 5 12 100 49 41 7
5 Partick Thistle 5.531 73 21 10 14 91 68 45 9
6 Falkirk 4.962 70 19 13 14 73 73 46 10
7 Heart of Midlothian 4.482 65 18 11 16 85 77 45 13
8 Kilmarnock 3.988 57 16 9 15 90 78 40 22
9 Airdrieonians 3.975 60 18 6 19 72 72 43 19
10 St Mirren 3.824 69 21 6 16 87 62 43 11
11 Ayr United 3.155 57 17 6 17 76 95 40 23
12 Clyde 3.119 53 14 11 15 71 72 40 25
13 Hamilton Academical 3.111 61 18 7 18 95 89 43 18
14 Cowdenbeath 2.743 50 14 8 19 70 80 41 27
15 Queen's Park 2.561 49 15 4 20 67 81 39 30
16 Dundee 2.431 60 17 9 19 61 66 45 20
17 Hibernian 2.193 44 11 11 19 51 66 41 31
18 Leith Athletic 1.789 89 25 14 5 99 45 44 2
19 Morton 1.684 37 10 7 22 67 97 39 35
20 Dundee United 1.328 32 8 8 24 58 112 40 37
21 Albion Rovers 1.174 85 26 7 9 110 68 42 4
22 East Fife 1.102 83 26 5 8 115 60 39 5
23 Third Lanark 0.939 75 23 6 10 95 58 39 8
24 St Johnstone 0.898 29 7 8 26 52 101 41 39
25 Raith Rovers 0.674 63 18 9 13 97 77 40 15
26 Queen of the South 0.633 64 19 7 15 71 69 41 14
27 King's Park 0.542 65 19 8 14 122 88 41 12
28 Forfar Athletic 0.508 63 19 6 16 105 100 41 16
29 Montrose 0.498 62 17 11 15 95 94 43 17
30 Arbroath 0.410 58 17 7 16 89 93 40 21
31 St Bernard's 0.349 49 14 7 20 71 73 41 29
32 Dunfermline Athletic 0.343 54 16 6 17 100 88 39 24
33 East Stirlingshire 0.332 52 16 4 19 83 81 39 26
34 Dumbarton 0.307 44 14 2 23 78 99 39 32
35 Bo'ness 0.292 50 15 5 20 68 98 40 28
36 Armadale 0.269 44 13 5 21 56 92 39 33
37 Stenhousemuir 0.210 38 11 5 23 75 114 39 34
38 Clydebank 0.172 31 7 10 21 66 92 38 38
39 Alloa Athletic 0.157 33 9 6 24 57 108 39 36
40 Brechin City 0.134 25 7 4 28 59 132 39 40
41 Inverness Citadel 0.027 3 1 0 1 2 3 2 46
42 Murrayfield Amateurs 0 4 1 1 1 8 10 3 41
42 Vale of Leithen 0 4 1 1 1 7 11 3 42
42 Beith 0 3 1 0 1 5 3 2 43
42 Nithsdale Wanderers 0 3 1 0 1 7 6 2 44
42 Inverness Clachn'din 0 3 1 0 1 2 2 2 45
42 Peterhead 0 1 0 1 1 4 5 2 47
42 Burntisland Shipyard 0 1 0 1 1 2 5 2 48
42 Clydebank 0 0 0 0 1 0 1 1 49
42 Buckie Thistle 0 0 0 0 1 0 2 1 50
42 Civil Service Str 0 0 0 0 1 0 2 1 51
42 Leith Amateurs 0 0 0 0 1 0 2 1 52
42 Stranraer 0 0 0 0 1 0 2 1 53
42 Royal Albert 0 0 0 0 1 1 4 1 54
42 Falkirk Amateurs 0 0 0 0 1 0 3 1 55
42 Bathgate 0 0 0 0 1 2 6 1 56
42 St Cuthberts Wndrs 0 0 0 0 1 1 5 1 57
42 Dalbeattie Star 0 0 0 0 1 1 6 1 58
42 Galston 0 0 0 0 1 1 6 1 59
42 St Andrew's Univ 0 0 0 0 1 1 6 1 60
42 Mid-Annandale 0 0 0 0 1 0 5 1 61
42 Inverness Caledonian 0 0 0 0 1 0 6 1 62
42 Keith 0 0 0 0 1 0 7 1 63
42 Solway Star 0 0 0 0 1 0 8 1 64
42 Paisley Academicals 0 0 0 0 1 1 11 1 65

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

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