In plotting the golf purses as a
function of the first place prize, we found
something very interesting. We plotted the average
purse [AVG] and what appears to be the distribution choice
of most tournaments [STD].
It turns out that these curves,
plotting each position as a percentage of the first
place money is almost identical to a curve where
each position equals the first place prize divided
by the position of the player [ATG]. The chart showing
these plots is found below. All the 41 individual
tournaments for 2002 are plotted in black. These curves are essentially
the same today.
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As you will notice our distribution curve (in white) is only
slightly below the others at the top positions, but at about the
30th position our payout is better.
It should be noted that the first to last place payout for most
tours averages about 90 to 1 except the Iron Man American
(Nationwide) which has a very good payout close to the average
cut. The Iron Man Fifty plus Tour has a ridiculous Average of about
231 to 1.
These curves are for the PGA Tour.
Their official Distribution is calculated as a per cent of the
Gross purse for each position as follows:
We did an analysis of the official purse distributions of the
PGA.
This further substantiates our position.
PGA distribution curves.
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PGA Tour Purse Distribution
1 |
0.18000 |
26 |
0.00800 |
51 |
0.00246 |
2 |
0.10800 |
27 |
0.00770 |
52 |
0.00240 |
3 |
0.06800 |
28 |
0.00740 |
53 |
0.00236 |
4 |
0.04800 |
29 |
0.00710 |
54 |
0.00232 |
5 |
0.04000 |
30 |
0.00680 |
55 |
0.00230 |
6 |
0.03600 |
31 |
0.00650 |
56 |
0.00228 |
7 |
0.03350 |
32 |
0.00620 |
57 |
0.00226 |
8 |
0.03100 |
33 |
0.00590 |
58 |
0.00224 |
9 |
0.02900 |
34 |
0.00565 |
59 |
0.00222 |
10 |
0.02700 |
35 |
0.00540 |
60 |
0.00220 |
11 |
0.02500 |
36 |
0.00515 |
61 |
0.00218 |
12 |
0.02300 |
37 |
0.00490 |
62 |
0.00216 |
13 |
0.02100 |
38 |
0.00470 |
63 |
0.00214 |
14 |
0.01900 |
39 |
0.00450 |
64 |
0.00212 |
15 |
0.01800 |
40 |
0.00430 |
65 |
0.00210 |
16 |
0.01700 |
41 |
0.00410 |
66 |
0.00208 |
17 |
0.01600 |
42 |
0.00390 |
67 |
0.00206 |
18 |
0.01500 |
43 |
0.00370 |
68 |
0.00204 |
19 |
0.01400 |
44 |
0.00350 |
69 |
0.00202 |
20 |
0.01300 |
45 |
0.00330 |
70 |
0.00200 |
21 |
0.01200 |
46 |
0.00310 |
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|
22 |
0.01120 |
47 |
0.00290 |
|
|
23 |
0.01040 |
48 |
0.00274 |
|
|
24 |
0.00960 |
49 |
0.00260 |
|
|
25 |
0.00880 |
50 |
0.00252 |
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