Ranking football clubs by the dominant eigenvector of the normalized points-won matrix.
Scotland 1911-12
| ‹ 1910-11 | 1912-13 › | |
|---|---|---|
| EP | Pts | W | D | L | GF | GA | GP | PR | ||
|---|---|---|---|---|---|---|---|---|---|---|
| 1 | Rangers | 14.114 | 78 | 25 | 3 | 8 | 90 | 38 | 36 | 1 |
| 2 | Celtic | 12.537 | 78 | 22 | 12 | 6 | 71 | 35 | 40 | 2 |
| 3 | Clyde | 7.762 | 73 | 23 | 4 | 12 | 70 | 37 | 39 | 3 |
| 4 | Heart of Midlothian | 7.548 | 67 | 19 | 10 | 11 | 60 | 45 | 40 | 4 |
| 5 | Morton | 6.405 | 58 | 16 | 10 | 12 | 49 | 46 | 38 | 5 |
| 6 | Dundee | 5.538 | 52 | 14 | 10 | 13 | 57 | 44 | 37 | 9 |
| 7 | Partick Thistle | 5.396 | 57 | 16 | 9 | 11 | 49 | 45 | 36 | 7 |
| 8 | Falkirk | 5.359 | 56 | 16 | 8 | 14 | 55 | 49 | 38 | 8 |
| 9 | Aberdeen | 5.168 | 57 | 16 | 9 | 14 | 56 | 51 | 39 | 6 |
| 10 | Third Lanark | 4.597 | 52 | 15 | 7 | 16 | 55 | 62 | 38 | 10 |
| 11 | Airdrieonians | 3.686 | 48 | 13 | 9 | 15 | 44 | 47 | 37 | 12 |
| 12 | Hibernian | 3.640 | 43 | 12 | 7 | 18 | 46 | 51 | 37 | 15 |
| 13 | Kilmarnock | 3.438 | 43 | 13 | 4 | 20 | 42 | 66 | 37 | 16 |
| 14 | Motherwell | 3.375 | 44 | 13 | 5 | 19 | 42 | 48 | 37 | 13 |
| 15 | Raith Rovers | 3.189 | 37 | 9 | 10 | 17 | 40 | 62 | 36 | 20 |
| 16 | Hamilton Academical | 3.081 | 41 | 11 | 8 | 16 | 32 | 45 | 35 | 17 |
| 17 | Queen's Park | 2.624 | 33 | 8 | 9 | 17 | 29 | 53 | 34 | 23 |
| 18 | St Mirren | 2.470 | 32 | 7 | 11 | 18 | 35 | 66 | 36 | 25 |
| 19 | King's Park | 0.074 | 1 | 0 | 1 | 1 | 3 | 8 | 2 | 33 |
| 20 | Ayr United | 0 | 51 | 16 | 3 | 4 | 54 | 27 | 23 | 11 |
| 20 | Abercorn | 0 | 43 | 13 | 4 | 6 | 43 | 24 | 23 | 14 |
| 20 | Dumbarton | 0 | 40 | 13 | 1 | 9 | 47 | 34 | 23 | 18 |
| 20 | Cowdenbeath | 0 | 38 | 12 | 2 | 8 | 39 | 31 | 22 | 19 |
| 20 | St Johnstone | 0 | 34 | 10 | 4 | 9 | 29 | 29 | 23 | 21 |
| 20 | Leith Athletic | 0 | 34 | 10 | 4 | 10 | 34 | 36 | 24 | 22 |
| 20 | St Bernard's | 0 | 32 | 9 | 5 | 8 | 38 | 36 | 22 | 24 |
| 20 | East Stirlingshire | 0 | 27 | 8 | 3 | 13 | 24 | 34 | 24 | 26 |
| 20 | Arthurlie | 0 | 26 | 7 | 5 | 10 | 30 | 30 | 22 | 27 |
| 20 | Dundee United | 0 | 20 | 5 | 5 | 12 | 21 | 41 | 22 | 28 |
| 20 | Albion Rovers | 0 | 19 | 6 | 1 | 15 | 19 | 41 | 22 | 29 |
| 20 | Vale of Leven | 0 | 19 | 6 | 1 | 15 | 26 | 50 | 22 | 30 |
| 20 | Broxburn Athletic | 0 | 3 | 1 | 0 | 1 | 7 | 6 | 2 | 31 |
| 20 | Armadale | 0 | 3 | 1 | 0 | 1 | 2 | 4 | 2 | 32 |
| 20 | Peterhead | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 1 | 34 |
| 20 | Dunfermline Athletic | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 35 |
| 20 | Stenhousemuir | 0 | 0 | 0 | 0 | 1 | 1 | 3 | 1 | 36 |
| 20 | Inverness Clachn'din | 0 | 0 | 0 | 0 | 1 | 0 | 2 | 1 | 37 |
| 20 | Renton | 0 | 0 | 0 | 0 | 1 | 0 | 5 | 1 | 38 |
| 20 | Beith | 0 | 0 | 0 | 0 | 1 | 0 | 6 | 1 | 39 |
EigenPoints, Points, Wins, Draws, Losses, GoalsFor, GoalsAgainst, GamesPlayed, PointsRank.
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