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1999-19 Team Seasons
A Pythagorean (expectation) projection is an approximation of each team’s wins based solely on points scored and allowed. The concept was first used by Bill James, an influential baseball
writer and statistician, who found that a team’s record was very closely correlated by taking the square of the team’s runs scored and dividing it by the square of the team’s
runs plus the square of the team’s runs allowed.
Statistician Daryl Morey of STATS, Inc., later adapted this formula for professional football using 2.37 and I further found that the exponent 2.7 works better for VHSL football.
I applied this formula to each team and found out which teams are out performing their projected winning percentage and which ones were under performing.
The key is as follows: W = Actual wins L = Actual losses PFALL = Points for PAALL = Points against Projected W = Projected Wins Projected L = Projected Losses
Win Difference is computed by calculating the number of wins the formula computed (Projected W) and subtracting that from the number of actual wins (Actual W).
A positive number means the team had more wins that the formula expected, a negative numbers means less wins than expected.
1 |
Washington & Lee
|
10 |
3 |
12.83 |
0.17 |
-2.83 |
42.4 |
458 |
92 |
0.83 |
2 |
A |
A |
Northern Neck |
6 |
5 |
46.9 |
-4 |
2 |
King William
|
6 |
4 |
8.79 |
1.21 |
-2.79 |
30.0 |
300 |
144 |
0.68 |
2 |
A |
A |
Tidewater |
7 |
4 |
46.9 |
1 |
3 |
Lebanon
|
8 |
3 |
10.35 |
0.65 |
-2.35 |
45.1 |
304 |
109 |
0.74 |
2 |
A |
C |
Hogoheegee |
7 |
4 |
36.0 |
-1 |
4 |
Giles
|
5 |
4 |
7.24 |
1.76 |
-2.24 |
33.6 |
255 |
151 |
0.63 |
2 |
A |
C |
Three Rivers |
8 |
3 |
53.6 |
3 |
5 |
Buffalo Gap
|
7 |
4 |
9.15 |
1.85 |
-2.15 |
34.6 |
295 |
163 |
0.64 |
2 |
A |
B |
Shenandoah |
6 |
5 |
35.4 |
-1 |
6 |
Lunenburg
|
8 |
4 |
9.73 |
2.27 |
-1.73 |
49.6 |
278 |
162 |
0.63 |
2 |
A |
B |
James River |
9 |
3 |
49.8 |
1 |
7 |
James Monroe
|
9 |
3 |
10.58 |
1.42 |
-1.58 |
42.4 |
328 |
156 |
0.68 |
2 |
A |
I |
Battlefield |
11 |
1 |
65.2 |
2 |
8 |
Radford
|
9 |
2 |
10.37 |
0.63 |
-1.37 |
52.9 |
342 |
121 |
0.74 |
2 |
A |
C |
Three Rivers |
11 |
2 |
59.9 |
2 |
9 |
James River(B)
|
7 |
2 |
8.34 |
0.66 |
-1.34 |
36.0 |
253 |
99 |
0.72 |
2 |
A |
C |
Pioneer |
6 |
4 |
31.7 |
-1 |
10 |
Floyd County
|
11 |
1 |
11.95 |
0.05 |
-0.95 |
59.5 |
459 |
60 |
0.88 |
2 |
A |
C |
Three Rivers |
6 |
4 |
39.8 |
-5 |
11 |
Gate City
|
11 |
1 |
11.93 |
0.07 |
-0.93 |
67.1 |
497 |
75 |
0.87 |
2 |
A |
D |
Lonesome Pine |
14 |
0 |
66.8 |
3 |
12 |
Nandua
|
6 |
3 |
6.66 |
2.34 |
-0.66 |
30.3 |
230 |
156 |
0.60 |
2 |
A |
I |
Eastern Shore-AA |
6 |
1 |
55.7 |
0 |
13 |
Brentsville
|
7 |
3 |
7.63 |
2.37 |
-0.63 |
37.0 |
259 |
168 |
0.61 |
2 |
A |
II |
Bull Run |
5 |
5 |
44.6 |
-2 |
14 |
George Wythe(W)
*
|
13 |
1 |
13.55 |
0.45 |
-0.55 |
68.5 |
485 |
137 |
0.78 |
2 |
A |
C |
Hogoheegee |
9 |
3 |
44.9 |
-4 |
15 |
Honaker
|
10 |
2 |
10.41 |
1.59 |
-0.41 |
49.5 |
315 |
157 |
0.67 |
2 |
A |
D |
Black Diamond |
9 |
1 |
39.8 |
-1 |
16 |
Grayson County
|
3 |
5 |
3.34 |
4.66 |
-0.34 |
14.1 |
145 |
164 |
0.47 |
2 |
A |
C |
Mtn. Empire |
7 |
4 |
32.0 |
4 |
17 |
Arcadia
|
0 |
9 |
0.17 |
8.83 |
-0.17 |
-4.7 |
82 |
355 |
0.19 |
2 |
A |
A |
Eastern Shore-A |
1 |
8 |
14.4 |
1 |
18 |
Madison County
|
2 |
8 |
2.11 |
7.89 |
-0.11 |
9.4 |
154 |
251 |
0.38 |
2 |
A |
B |
Bull Run |
3 |
7 |
19.6 |
1 |
19 |
Chilhowie
|
6 |
4 |
5.98 |
4.02 |
0.02 |
27.3 |
198 |
171 |
0.54 |
2 |
A |
C |
Hogoheegee |
3 |
7 |
7.9 |
-3 |
20 |
John Battle
|
1 |
9 |
0.73 |
9.27 |
0.27 |
5.6 |
113 |
290 |
0.28 |
2 |
A |
C |
Hogoheegee |
1 |
9 |
-0.3 |
0 |
21 |
Glenvar
|
2 |
8 |
1.53 |
8.47 |
0.47 |
8.2 |
128 |
241 |
0.35 |
2 |
A |
C |
Three Rivers |
2 |
8 |
20.9 |
0 |
22 |
Essex
|
8 |
3 |
7.49 |
3.51 |
0.51 |
42.4 |
233 |
176 |
0.57 |
2 |
A |
A |
Northern Neck |
10 |
4 |
57.7 |
2 |
23 |
Goochland
|
1 |
9 |
0.39 |
9.61 |
0.61 |
9.1 |
84 |
275 |
0.23 |
2 |
A |
B |
James River |
3 |
7 |
16.3 |
2 |
24 |
Patrick Henry(GS)
|
3 |
7 |
2.38 |
7.62 |
0.62 |
17.1 |
145 |
223 |
0.39 |
2 |
A |
C |
Hogoheegee |
5 |
5 |
20.4 |
2 |
25 |
Windsor
|
1 |
7 |
0.19 |
7.81 |
0.81 |
4.3 |
71 |
280 |
0.20 |
2 |
A |
A |
Three Rivers |
3 |
6 |
27.8 |
2 |
26 |
Chatham
|
1 |
9 |
0.10 |
9.90 |
0.90 |
18.4 |
78 |
424 |
0.16 |
2 |
A |
B |
Dogwood |
3 |
7 |
24.1 |
2 |
27 |
George Mason
|
2 |
7 |
0.86 |
8.14 |
1.14 |
9.4 |
103 |
237 |
0.30 |
2 |
A |
B |
Bull Run |
6 |
4 |
33.8 |
4 |
28 |
Clarke County
|
4 |
5 |
2.84 |
6.16 |
1.16 |
21.4 |
141 |
188 |
0.43 |
2 |
A |
B |
Bull Run |
5 |
5 |
19.6 |
1 |
29 |
Fort Chiswell
|
2 |
8 |
0.62 |
9.38 |
1.38 |
3.6 |
132 |
361 |
0.27 |
2 |
A |
C |
Mtn. Empire |
4 |
6 |
12.5 |
2 |
30 |
Buckingham County
|
12 |
2 |
10.53 |
3.47 |
1.47 |
67.6 |
326 |
216 |
0.60 |
2 |
A |
B |
James River |
4 |
6 |
39.9 |
-8 |
31 |
Wilson Memorial
|
5 |
5 |
3.22 |
6.78 |
1.78 |
10.7 |
201 |
265 |
0.43 |
2 |
A |
B |
Shenandoah |
4 |
6 |
18.3 |
-1 |
32 |
Lancaster
|
3 |
7 |
0.42 |
9.58 |
2.58 |
15.1 |
79 |
251 |
0.24 |
2 |
A |
A |
Northern Neck |
4 |
6 |
27.2 |
1 |
33 |
Randolph-Henry
|
4 |
6 |
1.10 |
8.90 |
2.90 |
31.2 |
110 |
239 |
0.32 |
2 |
A |
B |
James River |
0 |
10 |
-1.7 |
-4 |
|