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

Scotland 1930-31

1929-30 1931-32

EP Pts W D L GF GA GP PR
1 Celtic 13.085 101 30 11 4 123 42 45 1
2 Motherwell 12.524 96 29 9 7 121 49 45 3
3 Rangers 11.286 90 28 6 6 104 32 40 4
4 Partick Thistle 7.359 81 25 6 10 93 47 41 5
5 Heart of Midlothian 4.815 66 20 6 14 101 67 40 12
6 Dundee 4.051 63 19 6 17 78 68 42 15
7 Cowdenbeath 4.041 68 20 8 15 69 69 43 10
8 Hamilton Academical 3.549 57 17 6 18 65 64 41 20
9 Aberdeen 3.517 69 20 9 15 92 70 44 7
10 Kilmarnock 3.435 63 19 6 19 78 66 44 14
11 Airdrieonians 3.333 60 18 6 17 67 70 41 17
12 Third Lanark 2.742 98 30 8 5 119 50 43 2
13 St Mirren 2.534 55 15 10 20 62 77 45 23
14 Queen's Park 2.455 49 14 7 19 76 73 40 30
15 Clyde 2.446 53 16 5 20 69 91 41 26
16 Falkirk 2.344 52 16 4 21 88 91 41 28
17 Morton 1.898 48 13 9 21 64 89 43 31
18 Ayr United 1.819 41 10 11 20 65 95 41 34
19 Leith Athletic 1.486 35 8 11 20 51 92 39 38
20 Hibernian 1.476 41 11 8 23 59 89 42 35
21 East Fife 1.018 28 8 4 27 46 115 39 40
22 Raith Rovers 0.791 68 20 8 13 95 76 41 9
23 Dundee United 0.705 74 22 8 10 109 57 40 6
24 Dunfermline Athletic 0.703 68 20 8 12 86 58 40 8
25 St Johnstone 0.642 67 20 7 14 80 68 41 11
26 Albion Rovers 0.546 56 15 11 14 90 88 40 21
27 Montrose 0.541 66 21 3 17 78 93 41 13
28 East Stirlingshire 0.515 58 17 7 15 85 76 39 19
29 Queen of the South 0.467 60 18 6 15 85 69 39 16
30 Alloa Athletic 0.449 53 16 5 19 69 91 40 25
31 Forfar Athletic 0.436 51 15 6 18 82 87 39 29
32 St Bernard's 0.420 58 16 10 16 93 72 42 18
33 King's Park 0.416 52 15 7 19 86 72 41 27
34 Arbroath 0.406 55 17 4 20 94 99 41 22
35 Dumbarton 0.398 53 15 8 16 74 78 39 24
36 Bo'ness 0.371 41 12 5 26 63 108 43 37
37 Brechin City 0.288 46 13 7 19 53 87 39 32
38 Armadale 0.245 41 13 2 24 75 106 39 36
39 Stenhousemuir 0.236 42 12 6 21 76 110 39 33
40 Clydebank 0.187 32 10 2 26 61 108 38 39
41 Edinburgh City 0.029 3 1 0 1 3 3 2 42
42 Civil Service Str 0 3 1 0 1 2 1 2 41
42 Murrayfield Amateurs 0 3 1 0 1 3 3 2 43
42 Inverness Caledonian 0 3 1 0 1 3 7 2 44
42 Beith 0 0 0 0 1 2 3 1 45
42 Glasgow University 0 0 0 0 1 0 1 1 46
42 Clydebank 0 0 0 0 1 1 3 1 47
42 St Cuthberts Wndrs 0 0 0 0 1 1 3 1 48
42 Dalbeattie Star 0 0 0 0 1 0 2 1 49
42 Mid-Annandale 0 0 0 0 1 0 2 1 50
42 Tarff Rovers 0 0 0 0 1 0 2 1 51
42 Peterhead 0 0 0 0 1 0 3 1 52
42 Buckie Thistle 0 0 0 0 1 2 6 1 53
42 Stranraer 0 0 0 0 1 2 6 1 54
42 Peebles Rovers 0 0 0 0 1 0 4 1 55
42 Elgin City 0 0 0 0 1 0 5 1 56
42 Moorpark 0 0 0 0 1 1 7 1 57
42 Bathgate 0 0 0 0 1 0 6 1 58
42 Vale of Leithen 0 0 0 0 1 0 6 1 59
42 Falkirk Amateurs 0 0 0 0 1 0 7 1 60
42 Inverness Citadel 0 0 0 0 1 0 7 1 61
42 Clackmannan 0 0 0 0 1 2 11 1 62
42 Fraserburgh 0 0 0 0 1 1 10 1 63
42 Nithsdale Wanderers 0 0 0 0 1 0 14 1 64
42 Royal Albert 0 0 0 0 1 0 16 1 65

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

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