Ranking football clubs by the dominant eigenvector of the normalized points-won matrix.
Scotland 1904-05
| ‹ 1903-04 | 1905-06 › | |
|---|---|---|
| EP | Pts | W | D | L | GF | GA | GP | PR | ||
|---|---|---|---|---|---|---|---|---|---|---|
| 1 | Celtic | 21.127 | 71 | 22 | 5 | 4 | 78 | 35 | 31 | 2 |
| 2 | Rangers | 19.334 | 73 | 23 | 4 | 6 | 100 | 35 | 33 | 1 |
| 3 | Third Lanark | 12.372 | 65 | 19 | 8 | 5 | 74 | 32 | 32 | 3 |
| 4 | Airdrieonians | 5.707 | 48 | 14 | 6 | 11 | 52 | 48 | 31 | 4 |
| 5 | Heart of Midlothian | 5.528 | 39 | 12 | 3 | 13 | 47 | 47 | 28 | 9 |
| 6 | St Mirren | 4.888 | 38 | 11 | 5 | 14 | 37 | 40 | 30 | 10 |
| 7 | Partick Thistle | 4.691 | 45 | 14 | 3 | 13 | 42 | 62 | 30 | 6 |
| 8 | Dundee | 4.439 | 35 | 10 | 5 | 12 | 39 | 35 | 27 | 12 |
| 9 | Hibernian | 3.573 | 36 | 9 | 9 | 10 | 42 | 44 | 28 | 11 |
| 10 | Kilmarnock | 3.335 | 33 | 9 | 6 | 13 | 32 | 50 | 28 | 17 |
| 11 | Port Glasgow Ath | 2.551 | 32 | 9 | 5 | 14 | 33 | 51 | 28 | 18 |
| 12 | Queen's Park | 2.547 | 26 | 6 | 8 | 13 | 29 | 47 | 27 | 23 |
| 13 | Morton | 1.987 | 28 | 8 | 4 | 16 | 29 | 56 | 28 | 21 |
| 14 | Motherwell | 1.570 | 24 | 7 | 3 | 19 | 29 | 54 | 29 | 25 |
| 15 | Clyde | 1.012 | 45 | 13 | 6 | 4 | 38 | 23 | 23 | 5 |
| 16 | Aberdeen | 0.719 | 34 | 9 | 7 | 9 | 45 | 32 | 25 | 13 |
| 17 | Falkirk | 0.663 | 40 | 12 | 4 | 6 | 32 | 25 | 22 | 7 |
| 18 | Hamilton Academical | 0.658 | 39 | 12 | 3 | 7 | 40 | 24 | 22 | 8 |
| 19 | Arthurlie | 0.538 | 33 | 9 | 6 | 9 | 37 | 42 | 24 | 16 |
| 20 | Ayr FC | 0.509 | 34 | 11 | 1 | 10 | 46 | 37 | 22 | 14 |
| 21 | Beith | 0.477 | 7 | 2 | 1 | 1 | 10 | 8 | 4 | 27 |
| 22 | Leith Athletic | 0.394 | 34 | 10 | 4 | 9 | 37 | 30 | 23 | 15 |
| 23 | Albion Rovers | 0.333 | 28 | 8 | 4 | 10 | 38 | 53 | 22 | 20 |
| 24 | Raith Rovers | 0.328 | 28 | 9 | 1 | 12 | 30 | 34 | 22 | 19 |
| 25 | East Stirlingshire | 0.315 | 26 | 7 | 5 | 10 | 37 | 38 | 22 | 22 |
| 26 | Abercorn | 0.273 | 25 | 8 | 1 | 13 | 31 | 45 | 22 | 24 |
| 27 | St Bernard's | 0.135 | 14 | 3 | 5 | 14 | 23 | 53 | 22 | 26 |
| 28 | Lochgelly United | 0 | 3 | 1 | 0 | 1 | 5 | 4 | 2 | 28 |
| 28 | Kirkcaldy United | 0 | 3 | 1 | 0 | 1 | 3 | 2 | 2 | 29 |
| 28 | Cowdenbeath | 0 | 3 | 1 | 0 | 1 | 2 | 4 | 2 | 30 |
| 28 | Bathgate | 0 | 3 | 1 | 0 | 1 | 3 | 7 | 2 | 31 |
| 28 | Arbroath | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 1 | 32 |
| 28 | Ayr Parkhouse | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 1 | 33 |
| 28 | Dumfries | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 1 | 34 |
| 28 | Crieff Morrisonians | 0 | 0 | 0 | 0 | 1 | 1 | 3 | 1 | 35 |
| 28 | 6th GRV (Dalbeattie) | 0 | 0 | 0 | 0 | 1 | 0 | 2 | 1 | 36 |
| 28 | Renton | 0 | 0 | 0 | 0 | 1 | 0 | 2 | 1 | 37 |
| 28 | Stranraer | 0 | 0 | 0 | 0 | 1 | 0 | 3 | 1 | 38 |
| 28 | Inverness Caledonian | 0 | 0 | 0 | 0 | 1 | 1 | 5 | 1 | 39 |
| 28 | St Johnstone | 0 | 0 | 0 | 0 | 1 | 0 | 7 | 1 | 40 |
EigenPoints, Points, Wins, Draws, Losses, GoalsFor, GoalsAgainst, GamesPlayed, PointsRank.
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