Ranking football clubs by the dominant eigenvector of the normalized points-won matrix.
Scotland 1920-21
| ‹ 1919-20 | 1921-22 › | |
|---|---|---|
| EP | Pts | W | D | L | GF | GA | GP | PR | ||
|---|---|---|---|---|---|---|---|---|---|---|
| 1 | Rangers | 29.304 | 124 | 39 | 7 | 2 | 104 | 27 | 48 | 1 |
| 2 | Celtic | 13.304 | 102 | 32 | 6 | 7 | 93 | 38 | 45 | 2 |
| 3 | Heart of Midlothian | 4.824 | 83 | 23 | 14 | 13 | 81 | 55 | 50 | 4 |
| 4 | Partick Thistle | 4.640 | 84 | 22 | 18 | 13 | 63 | 43 | 53 | 3 |
| 5 | Morton | 3.853 | 59 | 15 | 14 | 14 | 66 | 60 | 43 | 15 |
| 6 | Dundee | 3.727 | 79 | 22 | 13 | 13 | 66 | 52 | 48 | 5 |
| 7 | Motherwell | 3.572 | 77 | 21 | 14 | 14 | 86 | 58 | 49 | 6 |
| 8 | Clyde | 3.392 | 72 | 22 | 6 | 19 | 68 | 67 | 47 | 7 |
| 9 | Ayr United | 3.135 | 62 | 16 | 14 | 17 | 70 | 74 | 47 | 10 |
| 10 | Aberdeen | 2.994 | 61 | 15 | 16 | 15 | 56 | 58 | 46 | 13 |
| 11 | Hamilton Academical | 2.958 | 60 | 16 | 12 | 17 | 49 | 60 | 45 | 14 |
| 12 | Kilmarnock | 2.932 | 62 | 18 | 8 | 18 | 67 | 72 | 44 | 11 |
| 13 | Third Lanark | 2.818 | 65 | 19 | 8 | 18 | 76 | 64 | 45 | 8 |
| 14 | Hibernian | 2.799 | 64 | 17 | 13 | 18 | 61 | 60 | 48 | 9 |
| 15 | Albion Rovers | 2.535 | 57 | 14 | 15 | 20 | 67 | 75 | 49 | 16 |
| 16 | Airdrieonians | 2.495 | 61 | 17 | 10 | 17 | 72 | 66 | 44 | 12 |
| 17 | Raith Rovers | 2.418 | 53 | 16 | 5 | 22 | 55 | 61 | 43 | 17 |
| 18 | Falkirk | 1.876 | 48 | 11 | 15 | 20 | 56 | 75 | 46 | 18 |
| 19 | Queen's Park | 1.842 | 44 | 11 | 11 | 21 | 45 | 81 | 43 | 19 |
| 20 | Clydebank | 1.595 | 35 | 7 | 14 | 21 | 47 | 72 | 42 | 21 |
| 21 | Dumbarton | 1.107 | 40 | 12 | 4 | 29 | 49 | 92 | 45 | 20 |
| 22 | Alloa Athletic | 0.856 | 12 | 2 | 6 | 1 | 6 | 7 | 9 | 23 |
| 23 | St Mirren | 0.581 | 25 | 7 | 4 | 32 | 45 | 95 | 43 | 22 |
| 24 | Armadale | 0.284 | 10 | 2 | 4 | 1 | 7 | 6 | 7 | 24 |
| 25 | Clydebank | 0.114 | 2 | 0 | 2 | 1 | 1 | 2 | 3 | 32 |
| 26 | Bo'ness | 0.047 | 4 | 1 | 1 | 1 | 1 | 2 | 3 | 27 |
| 27 | Stevenston United | 0 | 4 | 1 | 1 | 1 | 3 | 2 | 3 | 25 |
| 27 | East Fife | 0 | 4 | 1 | 1 | 1 | 3 | 4 | 3 | 26 |
| 27 | Queen of the South | 0 | 3 | 1 | 0 | 1 | 7 | 3 | 2 | 28 |
| 27 | East Stirlingshire | 0 | 3 | 1 | 0 | 1 | 6 | 3 | 2 | 29 |
| 27 | Dykehead (Shotts) | 0 | 3 | 1 | 0 | 1 | 3 | 4 | 2 | 30 |
| 27 | Nithsdale Wanderers | 0 | 3 | 1 | 0 | 1 | 3 | 6 | 2 | 31 |
| 27 | Broxburn United | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 1 | 33 |
| 27 | Galston | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 34 |
| 27 | Stenhousemuir | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 35 |
| 27 | Arbroath | 0 | 0 | 0 | 0 | 1 | 2 | 4 | 1 | 36 |
| 27 | Mid-Annandale | 0 | 0 | 0 | 0 | 1 | 1 | 3 | 1 | 37 |
| 27 | Johnstone | 0 | 0 | 0 | 0 | 1 | 0 | 2 | 1 | 38 |
| 27 | Elgin City | 0 | 0 | 0 | 0 | 1 | 0 | 3 | 1 | 39 |
| 27 | Peterhead | 0 | 0 | 0 | 0 | 1 | 0 | 3 | 1 | 40 |
| 27 | Renton | 0 | 0 | 0 | 0 | 1 | 0 | 3 | 1 | 41 |
| 27 | Vale of Leven | 0 | 0 | 0 | 0 | 1 | 0 | 3 | 1 | 42 |
| 27 | Solway Star | 0 | 0 | 0 | 0 | 1 | 1 | 5 | 1 | 43 |
| 27 | Blairgowrie Amateurs | 0 | 0 | 0 | 0 | 1 | 0 | 6 | 1 | 44 |
| 27 | Inverness Caledonian | 0 | 0 | 0 | 0 | 1 | 1 | 8 | 1 | 45 |
EigenPoints, Points, Wins, Draws, Losses, GoalsFor, GoalsAgainst, GamesPlayed, PointsRank.
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