The problem I had with my original formula for 2x for one grade, is I did it competing with C grade sim schools vs my A grade team, this was in the old days when sim school recruiting was very predictable. I found the number for Two complete grades to be 3X, hence I assumed linearity, and one grade was 2x. The system is multiplicative however. It looks something like this:
| Grade |
Factor |
Units |
*Difference |
| 4.33 |
1 |
10 |
|
| 4 |
1.2 |
12 |
|
| 3.67 |
1.44 |
14 |
|
| 3.33 |
1.73 |
17 |
1.728 |
| 3 |
2.07 |
21 |
1.728 |
| 2.67 |
2.49 |
25 |
1.728 |
| 2.33 |
2.99 |
30 |
1.728 |
| 2 |
3.58 |
36 |
1.728 |
| 1.67 |
4.30 |
43 |
1.728 |
| 1.33 |
5.16 |
52 |
1.728 |
| 1 |
6.19 |
62 |
1.728 |
| 0.66 |
7.43 |
74 |
1.728 |
| 0.33 |
8.92 |
89 |
1.728 |
| 0 |
10.70 |
107 |
1.728 |
*Difference is the factor from a full grade less from the line we are on, so 30 / 17 is 1.728 and is the difference between a C+ and a B+.
So if a A+ spends 10k, a B+ needs to spend 17k to tie, while a C+ need to spend 30k. Does that look right to all you guys? The only thing under debate is the difference between a A+ and a A 20%, if not, the whole thing changes proportionally. Since LM arrived at 1.7 for a full grade and I arrived at 3.0 for two whole grades, I'd feel somewhat confident this is about how it plays out. Remind you, I did my work on this subject, maybe 8 YEARS ago, my guess is LM probably 2 or 3 years ago.
As one of you said, it probably has not changed?
Hope this helps, even if not exactly right.
Merry XMAS to all of you!