Ranking football clubs by the dominant eigenvector of the normalized points-won matrix.
Scotland 1919-20
| ‹ 1918-19 | 1920-21 › | |
|---|---|---|
| EP | Pts | W | D | L | GF | GA | GP | PR | ||
|---|---|---|---|---|---|---|---|---|---|---|
| 1 | Rangers | 19.785 | 117 | 35 | 12 | 3 | 117 | 28 | 50 | 1 |
| 2 | Celtic | 15.513 | 103 | 31 | 10 | 4 | 94 | 33 | 45 | 2 |
| 3 | Motherwell | 7.754 | 80 | 23 | 11 | 9 | 75 | 56 | 43 | 3 |
| 4 | Clydebank | 5.881 | 68 | 20 | 8 | 14 | 78 | 54 | 42 | 7 |
| 5 | Dundee | 4.803 | 73 | 22 | 7 | 15 | 81 | 69 | 44 | 6 |
| 6 | Kilmarnock | 3.945 | 78 | 25 | 3 | 19 | 73 | 80 | 47 | 4 |
| 7 | Third Lanark | 3.564 | 68 | 19 | 11 | 16 | 65 | 67 | 46 | 8 |
| 8 | Morton | 3.366 | 75 | 20 | 15 | 14 | 91 | 57 | 49 | 5 |
| 9 | Airdrieonians | 3.249 | 62 | 17 | 11 | 15 | 58 | 44 | 43 | 9 |
| 10 | Partick Thistle | 3.122 | 57 | 15 | 12 | 18 | 59 | 65 | 45 | 12 |
| 11 | Ayr United | 2.888 | 59 | 16 | 11 | 18 | 75 | 72 | 45 | 10 |
| 12 | Heart of Midlothian | 2.795 | 57 | 16 | 9 | 20 | 64 | 74 | 45 | 13 |
| 13 | Queen's Park | 2.770 | 58 | 16 | 10 | 19 | 73 | 77 | 45 | 11 |
| 14 | Dumbarton | 2.693 | 53 | 13 | 14 | 17 | 57 | 66 | 44 | 17 |
| 15 | St Mirren | 2.630 | 56 | 16 | 8 | 20 | 66 | 84 | 44 | 14 |
| 16 | Clyde | 2.558 | 51 | 14 | 9 | 20 | 64 | 72 | 43 | 18 |
| 17 | Aberdeen | 2.391 | 55 | 14 | 13 | 19 | 51 | 66 | 46 | 15 |
| 18 | Albion Rovers | 2.170 | 54 | 14 | 12 | 25 | 57 | 85 | 51 | 16 |
| 19 | Hibernian | 2.124 | 50 | 14 | 8 | 23 | 62 | 81 | 45 | 19 |
| 20 | Falkirk | 1.749 | 41 | 10 | 11 | 22 | 45 | 76 | 43 | 21 |
| 21 | Raith Rovers | 1.592 | 50 | 12 | 14 | 22 | 68 | 89 | 48 | 20 |
| 22 | Hamilton Academical | 1.413 | 40 | 11 | 7 | 25 | 56 | 88 | 43 | 22 |
| 23 | Armadale | 1.045 | 10 | 3 | 1 | 1 | 5 | 3 | 5 | 23 |
| 24 | East Stirlingshire | 0.072 | 6 | 1 | 3 | 1 | 7 | 5 | 5 | 24 |
| 25 | St Bernard's | 0.047 | 4 | 1 | 1 | 1 | 4 | 5 | 3 | 26 |
| 26 | St Johnstone | 0.037 | 1 | 0 | 1 | 1 | 4 | 6 | 2 | 34 |
| 27 | Dykehead (Shotts) | 0.024 | 1 | 0 | 1 | 1 | 1 | 2 | 2 | 31 |
| 28 | Galston | 0.023 | 1 | 0 | 1 | 1 | 1 | 2 | 2 | 32 |
| 29 | Lochgelly United | 0 | 6 | 2 | 0 | 1 | 4 | 4 | 3 | 25 |
| 29 | Alloa Athletic | 0 | 4 | 1 | 1 | 1 | 1 | 2 | 3 | 27 |
| 29 | Royal Albert | 0 | 3 | 1 | 0 | 1 | 8 | 2 | 2 | 28 |
| 29 | East Fife | 0 | 3 | 1 | 0 | 1 | 4 | 5 | 2 | 29 |
| 29 | Broxburn United | 0 | 3 | 1 | 0 | 1 | 1 | 3 | 2 | 30 |
| 29 | Dumbarton Harp | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 2 | 33 |
| 29 | Stevenston United | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 1 | 35 |
| 29 | Vale of Leven | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 1 | 36 |
| 29 | Cowdenbeath | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 37 |
| 29 | Queen of the South | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 38 |
| 29 | Bathgate | 0 | 0 | 0 | 0 | 1 | 0 | 2 | 1 | 39 |
| 29 | Gala Fairydean | 0 | 0 | 0 | 0 | 1 | 0 | 2 | 1 | 40 |
| 29 | Inverness Clachn'din | 0 | 0 | 0 | 0 | 1 | 0 | 2 | 1 | 41 |
| 29 | Inverness Caledonian | 0 | 0 | 0 | 0 | 1 | 1 | 4 | 1 | 42 |
| 29 | Vale of Leithen | 0 | 0 | 0 | 0 | 1 | 0 | 3 | 1 | 43 |
| 29 | Nithsdale Wanderers | 0 | 0 | 0 | 0 | 1 | 1 | 5 | 1 | 44 |
| 29 | Arthurlie | 0 | 0 | 0 | 0 | 1 | 0 | 4 | 1 | 45 |
| 29 | Forfar Athletic | 0 | 0 | 0 | 0 | 1 | 0 | 4 | 1 | 46 |
| 29 | Arbroath | 0 | 0 | 0 | 0 | 1 | 0 | 5 | 1 | 47 |
| 29 | Thornhill | 0 | 0 | 0 | 0 | 1 | 0 | 6 | 1 | 48 |
| 29 | Forres Mechanics | 0 | 0 | 0 | 0 | 1 | 0 | 7 | 1 | 49 |
EigenPoints, Points, Wins, Draws, Losses, GoalsFor, GoalsAgainst, GamesPlayed, PointsRank.
| « 1873-74 | History | 2020-21 » |
|---|