Ranking football clubs by the dominant eigenvector of the normalized points-won matrix.
Scotland 1938-39
| ‹ 1937-38 | 1946-47 › | |
|---|---|---|
| EP | Pts | W | D | L | GF | GA | GP | PR | ||
|---|---|---|---|---|---|---|---|---|---|---|
| 1 | Rangers | 13.337 | 90 | 27 | 9 | 5 | 116 | 59 | 41 | 2 |
| 2 | Celtic | 7.449 | 78 | 23 | 9 | 11 | 119 | 63 | 43 | 4 |
| 3 | Aberdeen | 6.885 | 79 | 24 | 7 | 13 | 104 | 68 | 44 | 3 |
| 4 | Heart of Midlothian | 5.925 | 72 | 22 | 6 | 14 | 129 | 77 | 42 | 7 |
| 5 | Falkirk | 5.881 | 70 | 21 | 7 | 13 | 87 | 66 | 41 | 9 |
| 6 | Clyde | 5.421 | 75 | 23 | 6 | 16 | 91 | 71 | 45 | 6 |
| 7 | Hamilton Academical | 5.115 | 62 | 19 | 5 | 16 | 71 | 74 | 40 | 14 |
| 8 | Queen of the South | 5.018 | 66 | 19 | 9 | 13 | 79 | 70 | 41 | 13 |
| 9 | Motherwell | 4.390 | 69 | 21 | 6 | 18 | 106 | 97 | 45 | 11 |
| 10 | Kilmarnock | 4.282 | 57 | 16 | 9 | 15 | 80 | 90 | 40 | 17 |
| 11 | St Johnstone | 4.026 | 57 | 17 | 6 | 16 | 85 | 84 | 39 | 16 |
| 12 | Hibernian | 3.979 | 58 | 17 | 7 | 18 | 77 | 72 | 42 | 15 |
| 13 | Partick Thistle | 3.581 | 56 | 17 | 5 | 18 | 78 | 92 | 40 | 19 |
| 14 | Ayr United | 2.863 | 48 | 13 | 9 | 17 | 77 | 85 | 39 | 24 |
| 15 | Third Lanark | 2.737 | 53 | 15 | 8 | 19 | 97 | 99 | 42 | 20 |
| 16 | Cowdenbeath | 2.468 | 92 | 29 | 5 | 3 | 125 | 52 | 37 | 1 |
| 17 | St Mirren | 2.459 | 46 | 13 | 7 | 21 | 69 | 85 | 41 | 25 |
| 18 | Arbroath | 2.440 | 41 | 11 | 8 | 20 | 58 | 80 | 39 | 28 |
| 19 | Albion Rovers | 2.322 | 42 | 12 | 6 | 21 | 65 | 91 | 39 | 26 |
| 20 | Queen's Park | 2.157 | 41 | 12 | 5 | 23 | 62 | 89 | 40 | 29 |
| 21 | Raith Rovers | 1.682 | 32 | 10 | 2 | 27 | 65 | 100 | 39 | 36 |
| 22 | Alloa Athletic | 1.134 | 77 | 24 | 5 | 9 | 98 | 53 | 38 | 5 |
| 23 | East Fife | 0.691 | 69 | 21 | 6 | 8 | 100 | 63 | 35 | 10 |
| 24 | Dundee | 0.558 | 56 | 16 | 8 | 13 | 101 | 64 | 37 | 18 |
| 25 | Airdrieonians | 0.495 | 71 | 22 | 5 | 9 | 87 | 64 | 36 | 8 |
| 26 | Dunfermline Athletic | 0.407 | 66 | 20 | 6 | 12 | 109 | 84 | 38 | 12 |
| 27 | St Bernard's | 0.294 | 51 | 15 | 6 | 14 | 79 | 81 | 35 | 22 |
| 28 | Dundee United | 0.288 | 51 | 16 | 3 | 17 | 81 | 74 | 36 | 21 |
| 29 | Stenhousemuir | 0.270 | 50 | 15 | 5 | 15 | 74 | 71 | 35 | 23 |
| 30 | Brechin City | 0.245 | 42 | 11 | 9 | 15 | 82 | 111 | 35 | 27 |
| 31 | Dumbarton | 0.188 | 39 | 9 | 12 | 14 | 70 | 79 | 35 | 31 |
| 32 | Morton | 0.178 | 39 | 11 | 6 | 18 | 76 | 93 | 35 | 32 |
| 33 | King's Park | 0.165 | 39 | 12 | 3 | 21 | 94 | 100 | 36 | 30 |
| 34 | Montrose | 0.140 | 38 | 11 | 5 | 20 | 85 | 104 | 36 | 33 |
| 35 | East Stirlingshire | 0.135 | 31 | 9 | 4 | 22 | 89 | 137 | 35 | 37 |
| 36 | Forfar Athletic | 0.115 | 36 | 11 | 3 | 21 | 74 | 141 | 35 | 34 |
| 37 | Leith Athletic | 0.108 | 34 | 10 | 4 | 21 | 57 | 85 | 35 | 35 |
| 38 | Edinburgh City | 0.096 | 26 | 7 | 5 | 25 | 64 | 126 | 37 | 38 |
| 39 | Buckie Thistle | 0.031 | 8 | 2 | 2 | 1 | 17 | 17 | 5 | 39 |
| 39 | Blairgowrie | 0.031 | 4 | 1 | 1 | 1 | 7 | 9 | 3 | 40 |
| 41 | Babcock and Wilcox | 0.012 | 4 | 1 | 1 | 1 | 8 | 12 | 3 | 41 |
| 42 | Nithsdale Wanderers | 0.003 | 1 | 0 | 1 | 1 | 7 | 10 | 2 | 45 |
| 43 | Stranraer | 0.001 | 1 | 0 | 1 | 1 | 4 | 5 | 2 | 44 |
| 44 | Duns | 0 | 3 | 1 | 0 | 1 | 4 | 3 | 2 | 42 |
| 44 | Elgin City | 0 | 3 | 1 | 0 | 1 | 5 | 16 | 2 | 43 |
| 44 | Falkirk Amateurs | 0 | 0 | 0 | 0 | 1 | 2 | 4 | 1 | 46 |
| 44 | Bo'ness | 0 | 0 | 0 | 0 | 1 | 1 | 4 | 1 | 47 |
| 44 | Girvan | 0 | 0 | 0 | 0 | 1 | 1 | 4 | 1 | 48 |
| 44 | St Cuthberts Wndrs | 0 | 0 | 0 | 0 | 1 | 1 | 4 | 1 | 49 |
| 44 | Burntisland Shipyard | 0 | 0 | 0 | 0 | 1 | 3 | 8 | 1 | 50 |
| 44 | Berwick Rangers | 0 | 0 | 0 | 0 | 1 | 1 | 6 | 1 | 51 |
| 44 | Inverness Clachn'din | 0 | 0 | 0 | 0 | 1 | 2 | 8 | 1 | 52 |
| 44 | Huntly | 0 | 0 | 0 | 0 | 1 | 1 | 8 | 1 | 53 |
| 44 | Penicuik Athletic | 0 | 0 | 0 | 0 | 1 | 2 | 14 | 1 | 54 |
EigenPoints, Points, Wins, Draws, Losses, GoalsFor, GoalsAgainst, GamesPlayed, PointsRank.
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