Ranking football clubs by the dominant eigenvector of the normalized points-won matrix.
Scotland 1936-37
| ‹ 1935-36 | 1937-38 › | |
|---|---|---|
| EP | Pts | W | D | L | GF | GA | GP | PR | ||
|---|---|---|---|---|---|---|---|---|---|---|
| 1 | Rangers | 14.274 | 87 | 26 | 9 | 4 | 88 | 33 | 39 | 3 |
| 2 | Aberdeen | 10.007 | 89 | 27 | 8 | 8 | 104 | 49 | 43 | 2 |
| 3 | Celtic | 9.060 | 94 | 28 | 10 | 8 | 110 | 67 | 46 | 1 |
| 4 | Heart of Midlothian | 8.381 | 81 | 26 | 3 | 12 | 118 | 63 | 41 | 6 |
| 5 | Motherwell | 7.417 | 83 | 25 | 8 | 10 | 112 | 63 | 43 | 5 |
| 6 | Third Lanark | 5.502 | 70 | 21 | 7 | 13 | 87 | 66 | 41 | 9 |
| 7 | Falkirk | 4.057 | 66 | 20 | 6 | 14 | 104 | 69 | 40 | 12 |
| 8 | Hamilton Academical | 3.957 | 68 | 21 | 5 | 16 | 103 | 101 | 42 | 10 |
| 9 | Dundee | 3.847 | 58 | 14 | 16 | 12 | 64 | 71 | 42 | 16 |
| 10 | Clyde | 3.804 | 67 | 20 | 7 | 17 | 74 | 73 | 44 | 11 |
| 11 | St Johnstone | 3.188 | 53 | 15 | 8 | 17 | 80 | 71 | 40 | 18 |
| 12 | Kilmarnock | 2.813 | 51 | 14 | 9 | 16 | 61 | 72 | 39 | 21 |
| 13 | Partick Thistle | 2.663 | 52 | 13 | 13 | 16 | 81 | 72 | 42 | 19 |
| 14 | Queen's Park | 2.246 | 42 | 10 | 12 | 18 | 53 | 80 | 40 | 27 |
| 15 | Queen of the South | 2.103 | 38 | 10 | 8 | 23 | 53 | 99 | 41 | 32 |
| 16 | Morton | 1.962 | 85 | 26 | 7 | 7 | 126 | 51 | 40 | 4 |
| 17 | St Mirren | 1.926 | 49 | 14 | 7 | 21 | 74 | 84 | 42 | 22 |
| 18 | Arbroath | 1.922 | 48 | 14 | 6 | 21 | 59 | 88 | 41 | 23 |
| 19 | Hibernian | 1.537 | 34 | 7 | 13 | 20 | 60 | 87 | 40 | 35 |
| 20 | Ayr United | 1.224 | 79 | 25 | 4 | 6 | 122 | 51 | 35 | 7 |
| 21 | Dunfermline Athletic | 1.004 | 27 | 5 | 12 | 23 | 65 | 99 | 40 | 36 |
| 22 | St Bernard's | 0.796 | 70 | 22 | 4 | 9 | 101 | 54 | 35 | 8 |
| 23 | Airdrieonians | 0.756 | 65 | 19 | 8 | 9 | 88 | 63 | 36 | 13 |
| 24 | Albion Rovers | 0.619 | 25 | 6 | 7 | 28 | 64 | 128 | 41 | 37 |
| 25 | Cowdenbeath | 0.595 | 58 | 16 | 10 | 11 | 90 | 61 | 37 | 15 |
| 26 | East Fife | 0.548 | 59 | 17 | 8 | 12 | 85 | 55 | 37 | 14 |
| 27 | East Stirlingshire | 0.485 | 56 | 18 | 2 | 15 | 82 | 82 | 35 | 17 |
| 28 | Stenhousemuir | 0.450 | 47 | 14 | 5 | 17 | 83 | 89 | 36 | 24 |
| 29 | Brechin City | 0.401 | 36 | 9 | 9 | 18 | 66 | 100 | 36 | 34 |
| 30 | Leith Athletic | 0.365 | 45 | 13 | 6 | 17 | 69 | 74 | 36 | 26 |
| 31 | Alloa Athletic | 0.357 | 46 | 13 | 7 | 15 | 66 | 70 | 35 | 25 |
| 32 | Raith Rovers | 0.353 | 52 | 16 | 4 | 15 | 72 | 71 | 35 | 20 |
| 33 | Montrose | 0.295 | 40 | 11 | 7 | 18 | 66 | 104 | 36 | 30 |
| 34 | Forfar Athletic | 0.289 | 41 | 11 | 8 | 16 | 73 | 92 | 35 | 28 |
| 35 | King's Park | 0.271 | 40 | 12 | 4 | 21 | 66 | 125 | 37 | 31 |
| 36 | Dumbarton | 0.208 | 41 | 12 | 5 | 19 | 61 | 86 | 36 | 29 |
| 37 | Dundee United | 0.201 | 36 | 9 | 9 | 17 | 73 | 100 | 35 | 33 |
| 38 | Edinburgh City | 0.050 | 9 | 2 | 3 | 30 | 44 | 125 | 35 | 38 |
| 39 | Duns | 0.041 | 6 | 2 | 0 | 1 | 9 | 8 | 3 | 39 |
| 40 | Murrayfield Amateurs | 0.023 | 1 | 0 | 1 | 1 | 4 | 9 | 2 | 43 |
| 41 | Elgin City | 0.004 | 1 | 0 | 1 | 1 | 4 | 5 | 2 | 42 |
| 42 | Inverness Caledonian | 0 | 3 | 1 | 0 | 1 | 2 | 6 | 2 | 40 |
| 42 | Solway Star | 0 | 3 | 1 | 0 | 1 | 4 | 10 | 2 | 41 |
| 42 | Dalbeattie Star | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 1 | 44 |
| 42 | Babcock and Wilcox | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 45 |
| 42 | Galston | 0 | 0 | 0 | 0 | 1 | 1 | 3 | 1 | 46 |
| 42 | Keith | 0 | 0 | 0 | 0 | 1 | 1 | 3 | 1 | 47 |
| 42 | Larbert | 0 | 0 | 0 | 0 | 1 | 1 | 3 | 1 | 48 |
| 42 | Beith | 0 | 0 | 0 | 0 | 1 | 0 | 4 | 1 | 49 |
| 42 | Moorpark | 0 | 0 | 0 | 0 | 1 | 1 | 7 | 1 | 50 |
| 42 | Bo'ness | 0 | 0 | 0 | 0 | 1 | 0 | 6 | 1 | 51 |
| 42 | Inverness Thistle | 0 | 0 | 0 | 0 | 1 | 0 | 6 | 1 | 52 |
| 42 | Peebles Rovers | 0 | 0 | 0 | 0 | 1 | 0 | 6 | 1 | 53 |
| 42 | Vale Ocuba | 0 | 0 | 0 | 0 | 1 | 0 | 8 | 1 | 54 |
EigenPoints, Points, Wins, Draws, Losses, GoalsFor, GoalsAgainst, GamesPlayed, PointsRank.
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