Ranking football clubs by the dominant eigenvector of the normalized points-won matrix.
Scotland: Tier 1 1918-19
| ‹ 1917-18 | 1919-20 › | |
|---|---|---|
| EP | Pts | W | D | L | GF | GA | GP | PR | ||
|---|---|---|---|---|---|---|---|---|---|---|
| 1 | Rangers | 21.351 | 57 | 26 | 5 | 3 | 86 | 16 | 34 | 2 |
| 2 | Celtic | 20.619 | 58 | 26 | 6 | 2 | 71 | 22 | 34 | 1 |
| 3 | Morton | 9.906 | 47 | 18 | 11 | 5 | 76 | 40 | 34 | 3 |
| 4 | Partick Thistle | 6.346 | 41 | 17 | 7 | 10 | 62 | 43 | 34 | 4 |
| 5 | Motherwell | 6.229 | 38 | 14 | 10 | 10 | 51 | 40 | 34 | 5 |
| 6 | Kilmarnock | 4.648 | 35 | 14 | 7 | 13 | 61 | 59 | 34 | 8 |
| 7 | Ayr United | 4.354 | 38 | 15 | 8 | 11 | 62 | 53 | 34 | 6 |
| 8 | Heart of Midlothian | 4.133 | 37 | 14 | 9 | 11 | 59 | 52 | 34 | 7 |
| 9 | Airdrieonians | 3.486 | 29 | 9 | 11 | 14 | 45 | 54 | 34 | 13 |
| 10 | Queen's Park | 3.422 | 35 | 15 | 5 | 14 | 59 | 57 | 34 | 9 |
| 11 | St. Mirren | 3.253 | 32 | 10 | 12 | 12 | 43 | 55 | 34 | 11 |
| 12 | Third Lanark | 2.906 | 31 | 11 | 9 | 14 | 60 | 62 | 34 | 12 |
| 13 | Clydebank | 2.576 | 32 | 12 | 8 | 14 | 54 | 65 | 34 | 10 |
| 14 | Hamilton Academical | 2.081 | 27 | 11 | 5 | 18 | 49 | 75 | 34 | 14 |
| 15 | Dumbarton | 1.659 | 22 | 7 | 8 | 19 | 31 | 58 | 34 | 15 |
| 16 | Clyde | 1.318 | 20 | 7 | 6 | 21 | 45 | 75 | 34 | 17 |
| 17 | Falkirk | 1.117 | 20 | 6 | 8 | 20 | 46 | 73 | 34 | 16 |
| 18 | Hibernian | 0.597 | 13 | 5 | 3 | 26 | 30 | 91 | 34 | 18 |
EigenPoints, Points, Wins, Draws, Losses, GoalsFor, GoalsAgainst, GamesPlayed, PointsRank.
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