Ranking football clubs by the dominant eigenvector of the normalized points-won matrix.
Scotland: Tier 1 1956-57
| ‹ 1955-56 | 1957-58 › | |
|---|---|---|
| EP | Pts | W | D | L | GF | GA | GP | PR | ||
|---|---|---|---|---|---|---|---|---|---|---|
| 1 | Rangers | 19.118 | 55 | 26 | 3 | 5 | 96 | 48 | 34 | 1 |
| 2 | Heart of Midlothian | 14.303 | 53 | 24 | 5 | 5 | 81 | 48 | 34 | 2 |
| 3 | Kilmarnock | 9.292 | 42 | 16 | 10 | 8 | 57 | 39 | 34 | 3 |
| 4 | Raith Rovers | 6.275 | 39 | 16 | 7 | 11 | 84 | 58 | 34 | 4 |
| 5 | Motherwell | 5.300 | 37 | 16 | 5 | 13 | 72 | 66 | 34 | 7 |
| 6 | Celtic | 5.226 | 38 | 15 | 8 | 11 | 58 | 43 | 34 | 6 |
| 7 | Partick Thistle | 4.564 | 34 | 13 | 8 | 13 | 53 | 51 | 34 | 8 |
| 8 | Aberdeen | 4.474 | 38 | 18 | 2 | 14 | 79 | 59 | 34 | 5 |
| 9 | Hibernian | 4.071 | 33 | 12 | 9 | 13 | 69 | 56 | 34 | 9 |
| 10 | Falkirk | 3.667 | 28 | 10 | 8 | 16 | 51 | 70 | 34 | 14 |
| 11 | Dundee | 3.633 | 32 | 13 | 6 | 15 | 55 | 61 | 34 | 10 |
| 12 | Airdrieonians | 3.474 | 30 | 13 | 4 | 17 | 77 | 89 | 34 | 11 |
| 13 | St. Mirren | 3.354 | 30 | 12 | 6 | 16 | 58 | 72 | 34 | 12 |
| 14 | Queen's Park | 3.168 | 29 | 11 | 7 | 16 | 55 | 59 | 34 | 13 |
| 15 | East Fife | 3.024 | 26 | 10 | 6 | 18 | 59 | 82 | 34 | 15 |
| 16 | Dunfermline Athletic | 2.488 | 24 | 9 | 6 | 19 | 54 | 74 | 34 | 17 |
| 17 | Queen of the South | 2.386 | 25 | 10 | 5 | 19 | 54 | 96 | 34 | 16 |
| 18 | Ayr United | 2.182 | 19 | 7 | 5 | 22 | 48 | 89 | 34 | 18 |
EigenPoints, Points, Wins, Draws, Losses, GoalsFor, GoalsAgainst, GamesPlayed, PointsRank.
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