| No. Name | Pts | TBrk1 | Rnd1 | Rnd2 | Rnd3 | Rnd4 | Rnd5 |
|---|---|---|---|---|---|---|---|
| 1 Northpoint ES | 5.0 | 55.25 | W22,4.0 | W8,3.0 | W4,3.5 | W2,3.5 | W3,4.0 |
| 2 Bethany Christian A | 4.0 | 37.25 | W19,4.0 | W5,2.5 | W12,3.0 | L1,0.5 | W11,3.5 |
| 3 Madison ES | 3.5 | 35.50 | W9,3.0 | W6,3.0 | D7,2.0 | W13,4.0 | L1,0.0 |
| 4 Canterbury | 3.5 | 35.25 | W24,3.5 | W10,3.5 | L1,0.5 | W16,4.0 | D6,2.0 |
| 5 Washington STEM Academy | 3.5 | 30.00 | W17,3.0 | L2,1.5 | D8,2.0 | W20,3.0 | W13,3.0 |
| 6 St Bernard A | 3.5 | 27.00 | W26,4.0 | L3,1.0 | W18,3.0 | W7,3.5 | D4,2.0 |
| 7 Goshen IS A | 3.0 | 34.75 | W11,4.0 | W18,4.0 | D3,2.0 | L6,0.5 | D8,2.0 |
| 8 Saint Joseph GS A | 3.0 | 34.25 | W16,4.0 | L1,1.0 | D5,2.0 | W12,2.5 | D7,2.0 |
| 9 Leesburg ES | 3.0 | 27.50 | L3,1.0 | W23,4.0 | L10,1.5 | W17,3.0 | W14,3.0 |
| 10 Chamberlain ES B | 3.0 | 20.75 | W25,4.0 | L4,0.5 | W9,2.5 | L11,1.0 | W21,3.0 |
| 11 Lincoln ES A | 3.0 | 17.00 | L7,0.0 | W26,3.0 | W17,3.0 | W10,3.0 | L2,0.5 |
| 12 Chamberlain ES A | 2.5 | 25.50 | D13,2.0 | W21,4.0 | L2,1.0 | L8,1.5 | W20,4.0 |
| 13 Goshen IS B | 2.5 | 23.00 | D12,2.0 | W15,4.0 | W20,3.0 | L3,0.0 | L5,1.0 |
| 14 Saint Joseph GS C | 2.5 | 18.50 | D15,2.0 | L20,1.5 | W22,3.5 | W25,3.0 | L9,1.0 |
| 15 West Goshen ES | 2.5 | 17.50 | D14,2.0 | L13,0.0 | D21,2.0 | W24,3.0 | D16,2.0 |
| 16 Bethany Christian B | 2.5 | 12.50 | L8,0.0 | W22,3.0 | W25,3.0 | L4,0.0 | D15,2.0 |
| 17 Saint Joseph GS B | 2.0 | 19.00 | L5,1.0 | W19,3.0 | L11,1.0 | L9,1.0 | W25,3.5 |
| 18 Jefferson (Winona Lake) ES | 2.0 | 15.00 | W23,3.0 | L7,0.0 | L6,1.0 | D21,2.0 | D19,2.0 |
| 19 Goshen IS C | 2.0 | 9.00 | L2,0.0 | L17,1.0 | D23,2.0 | W26,3.0 | D18,2.0 |
| 20 Roosevelt STEAM Academy A | 1.5 | 15.25 | D21,2.0 | W14,2.5 | L13,1.0 | L5,1.0 | L12,0.0 |
| 21 Lincoln ES B | 1.5 | 15.00 | D20,2.0 | L12,0.0 | D15,2.0 | D18,2.0 | L10,1.0 |
| 22 Pierre Moran MS | 1.5 | 10.50 | L1,0.0 | L16,1.0 | L14,0.5 | W23,2.5 | D24,2.0 |
| 23 St Bernard B | 1.5 | 8.25 | L18,1.0 | L9,0.0 | D19,2.0 | L22,1.5 | W26,3.0 |
| 24 Roosevelt STEAM Academy B | 1.5 | 7.75 | L4,0.5 | L25,0.5 | W26,3.0 | L15,1.0 | D22,2.0 |
| 25 Claypool ES | 1.0 | 11.25 | L10,0.0 | W24,3.5 | L16,1.0 | L14,1.0 | L17,0.5 |
| 26 Chamberlain ES C | 0.0 | 8.00 | L6,0.0 | L11,1.0 | L24,1.0 | L19,1.0 | L23,1.0 |
Team Tie Breaks
Regionals Tournament in Goshen in 2026
This tournament had 26 teams and 5 rounds:
The total points for this example totalled below in the column Pts. We see that Lincoln A tied multiple teams. The usual way to determine a the winner of these ties has been to total game points as the tie breaker. However, it has been observed for some time that this is not a very good tie break system because it rewards the teams that faced the poorer opposition. Even worse, it gives 4 tie break points to a team that gets a bye. We have computed this in the column Tbrk2 below, naming it such becausee we will use it as our second tie-breaking metric.
| id | Name | Pts | Tbrk2 |
|---|---|---|---|
| 1 | Northpoint ES | 5.0 | 18.0 |
| 2 | Bethany Christian A | 4.0 | 13.5 |
| 3 | Madison ES | 3.5 | 12.0 |
| 4 | Canterbury | 3.5 | 13.5 |
| 5 | Washington STEM Academy | 3.5 | 12.5 |
| 6 | St Bernard A | 3.5 | 13.5 |
| 10 | Chamberlain ES B | 3.0 | 11.0 |
| 11 | Lincoln ES A | 3.0 | 9.5 |
| 7 | Goshen IS A | 3.0 | 12.5 |
| 8 | Saint Joseph GS A | 3.0 | 11.5 |
| 9 | Leesburg ES | 3.0 | 12.5 |
| 12 | Chamberlain ES A | 2.5 | 12.5 |
| 13 | Goshen IS B | 2.5 | 10.0 |
| 14 | Saint Joseph GS C | 2.5 | 11.0 |
| 15 | West Goshen ES | 2.5 | 9.0 |
| 16 | Bethany Christian B | 2.5 | 8.0 |
| 17 | Saint Joseph GS B | 2.0 | 9.5 |
| 18 | Jefferson (Winona Lake) ES | 2.0 | 8.0 |
| 19 | Goshen IS C | 2.0 | 8.0 |
| 20 | Roosevelt STEAM Academy A | 1.5 | 6.5 |
| 21 | Lincoln ES B | 1.5 | 7.0 |
| 22 | Pierre Moran MS | 1.5 | 6.0 |
| 23 | St Bernard B | 1.5 | 7.5 |
| 24 | Roosevelt STEAM Academy B | 1.5 | 7.0 |
| 25 | Claypool ES | 1.0 | 6.0 |
| 26 | Chamberlain ES C | 0.0 | 4.0 |
We can see Lincoln scored less individual wins than the other teams than we tied with.
Our first tie-break metric is the same as the United States Amateur tie break score. To calculate it, you first create an adjusted final score for each team by simply subtracting half a point for each bye that they had.
| id | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 | 26 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| adjusted | 5 | 4 | 3.5 | 3.5 | 3.5 | 3.5 | 3 | 3 | 3 | 3 | 3 | 2.5 | 2.5 | 2.5 | 2.5 | 2.5 | 2 | 2 | 2 | 1.5 | 1.5 | 1.5 | 1.5 | 1.5 | 1 | 0 |
Then, for each round we mutliply the games won by the adjusted points of the opponent. This calculations is performed below
| id | Name | Rnd1 | Rnd2 | Rnd3 | Rnd4 | Rnd5 |
|---|---|---|---|---|---|---|
| 1 | Northpoint ES | 6.00 | 9.00 | 12.25 | 14.00 | 14.0 |
| 2 | Bethany Christian A | 8.00 | 8.75 | 7.50 | 2.50 | 10.5 |
| 3 | Madison ES | 9.00 | 10.50 | 6.00 | 10.00 | 0.0 |
| 4 | Canterbury | 5.25 | 10.50 | 2.50 | 10.00 | 7.0 |
| 5 | Washington STEM Academy | 6.00 | 6.00 | 6.00 | 4.50 | 7.5 |
| 6 | St Bernard A | 0.00 | 3.50 | 6.00 | 10.50 | 7.0 |
| 7 | Goshen IS A | 12.00 | 8.00 | 7.00 | 1.75 | 6.0 |
| 8 | Saint Joseph GS A | 10.00 | 5.00 | 7.00 | 6.25 | 6.0 |
| 9 | Leesburg ES | 3.50 | 6.00 | 4.50 | 6.00 | 7.5 |
| 10 | Chamberlain ES B | 4.00 | 1.75 | 7.50 | 3.00 | 4.5 |
| 11 | Lincoln ES A | 0.00 | 0.00 | 6.00 | 9.00 | 2.0 |
| 12 | Chamberlain ES A | 5.00 | 6.00 | 4.00 | 4.50 | 6.0 |
| 13 | Goshen IS B | 5.00 | 10.00 | 4.50 | 0.00 | 3.5 |
| 14 | Saint Joseph GS C | 5.00 | 2.25 | 5.25 | 3.00 | 3.0 |
| 15 | West Goshen ES | 5.00 | 0.00 | 3.00 | 4.50 | 5.0 |
| 16 | Bethany Christian B | 0.00 | 4.50 | 3.00 | 0.00 | 5.0 |
| 17 | Saint Joseph GS B | 3.50 | 6.00 | 3.00 | 3.00 | 3.5 |
| 18 | Jefferson (Winona Lake) ES | 4.50 | 0.00 | 3.50 | 3.00 | 4.0 |
| 19 | Goshen IS C | 0.00 | 2.00 | 3.00 | 0.00 | 4.0 |
| 20 | Roosevelt STEAM Academy A | 3.00 | 6.25 | 2.50 | 3.50 | 0.0 |
| 21 | Lincoln ES B | 3.00 | 0.00 | 5.00 | 4.00 | 3.0 |
| 22 | Pierre Moran MS | 0.00 | 2.50 | 1.25 | 3.75 | 3.0 |
| 23 | St Bernard B | 2.00 | 0.00 | 4.00 | 2.25 | 0.0 |
| 24 | Roosevelt STEAM Academy B | 1.75 | 0.50 | 0.00 | 2.50 | 3.0 |
| 25 | Claypool ES | 0.00 | 5.25 | 2.50 | 2.50 | 1.0 |
| 26 | Chamberlain ES C | 0.00 | 3.00 | 1.50 | 2.00 | 1.5 |
For example, if we take a closer look at Lincoln A’s score above, the adjusted final scores of their opponents was, 3, 0, 2, 3 and 4 for Rounds 1, 2, 3, 4 and 5, respectively. And their games won were 0, 3, 3, 3, and 0.5 for Rounds 1, 2, 3, 4, and 5, respectively.
Adding up for all rounds these games multpiplied by adjusted total scores of opponents and multipying by 2 gives us our tie-breaking metric. We show this below in the column Tbrk2.
| id | Name | Pts | Tbrk1 | Tbrk2 |
|---|---|---|---|---|
| 1 | Northpoint ES | 5.0 | 110.5 | 18.0 |
| 2 | Bethany Christian A | 4.0 | 74.5 | 13.5 |
| 3 | Madison ES | 3.5 | 71.0 | 12.0 |
| 4 | Canterbury | 3.5 | 70.5 | 13.5 |
| 5 | Washington STEM Academy | 3.5 | 60.0 | 12.5 |
| 6 | St Bernard A | 3.5 | 54.0 | 13.5 |
| 7 | Goshen IS A | 3.0 | 69.5 | 12.5 |
| 8 | Saint Joseph GS A | 3.0 | 68.5 | 11.5 |
| 9 | Leesburg ES | 3.0 | 55.0 | 12.5 |
| 10 | Chamberlain ES B | 3.0 | 41.5 | 11.0 |
| 11 | Lincoln ES A | 3.0 | 34.0 | 9.5 |
| 12 | Chamberlain ES A | 2.5 | 51.0 | 12.5 |
| 13 | Goshen IS B | 2.5 | 46.0 | 10.0 |
| 14 | Saint Joseph GS C | 2.5 | 37.0 | 11.0 |
| 15 | West Goshen ES | 2.5 | 35.0 | 9.0 |
| 16 | Bethany Christian B | 2.5 | 25.0 | 8.0 |
| 17 | Saint Joseph GS B | 2.0 | 38.0 | 9.5 |
| 18 | Jefferson (Winona Lake) ES | 2.0 | 30.0 | 8.0 |
| 19 | Goshen IS C | 2.0 | 18.0 | 8.0 |
| 20 | Roosevelt STEAM Academy A | 1.5 | 30.5 | 6.5 |
| 21 | Lincoln ES B | 1.5 | 30.0 | 7.0 |
| 22 | Pierre Moran MS | 1.5 | 21.0 | 6.0 |
| 23 | St Bernard B | 1.5 | 16.5 | 7.5 |
| 24 | Roosevelt STEAM Academy B | 1.5 | 15.5 | 7.0 |
| 25 | Claypool ES | 1.0 | 22.5 | 6.0 |
| 26 | Chamberlain ES C | 0.0 | 16.0 | 4.0 |
USAT gives no weight to byes and games won against opponents who have gone winless. Games won still count in most cases, but games won against good opponents count more than games won against poor opponents. Games won will be our second tie break, and after that will come the usual tie break systems used in individual tournaments. With that said, there is seldom any need to go to a second tie break system.