mmiller_34
December 1st, 2016, 10:47 AM
I'm not sure if you guys are familiar with this computation but its explained here:
Pythagorean expectation, or Pythagorean projection, calculates a percentage based on the number of points a team has scored and allowed. Typically the formula involves the number of points scored, raised to some exponent, placed in the numerator. Then the number of points the team allowed, raised to the same exponent, is placed in the denominator and added to the value in the numerator. The resulting percentage is often compared to a team's true winning percentage, and a team is said to have "overachieved" or "underachieved" compared to the Pythagorean expectation.
https://wikimedia.org/api/rest_v1/media/math/render/svg/8d32ab10962d54d9b5a367c63f18251eb88006bb
I plugged in MVFC stats into the formula and this is what came out:
Points For
Points Against
Games Played
Pythagorean Wins
Pythagorean Losses
True Wins
True Losses
Youngstown State
318
206
12
8.84
3.16
9
3
North Dakota State
310
188
11
8.42
2.58
10
1
Northern Iowa
320
242
11
7.26
3.74
5
6
South Dakota State
411
312
11
7.23
3.77
8
3
Illinois State
312
262
12
7.22
4.78
6
6
Southern Illinois
340
338
11
5.54
5.46
4
7
Western Illinois
319
346
11
4.97
6.03
6
5
South Dakota
329
379
11
4.59
6.41
4
7
Indiana State
274
359
11
3.80
7.20
4
7
Missouri State
257
393
11
2.94
8.06
4
7
Thought it might provide some interesting food for thought/discussion. One spot that I was happy to see that this accurately predicted UNI underachieving which most are in agreement with on AGS.
Pythagorean expectation, or Pythagorean projection, calculates a percentage based on the number of points a team has scored and allowed. Typically the formula involves the number of points scored, raised to some exponent, placed in the numerator. Then the number of points the team allowed, raised to the same exponent, is placed in the denominator and added to the value in the numerator. The resulting percentage is often compared to a team's true winning percentage, and a team is said to have "overachieved" or "underachieved" compared to the Pythagorean expectation.
https://wikimedia.org/api/rest_v1/media/math/render/svg/8d32ab10962d54d9b5a367c63f18251eb88006bb
I plugged in MVFC stats into the formula and this is what came out:
Points For
Points Against
Games Played
Pythagorean Wins
Pythagorean Losses
True Wins
True Losses
Youngstown State
318
206
12
8.84
3.16
9
3
North Dakota State
310
188
11
8.42
2.58
10
1
Northern Iowa
320
242
11
7.26
3.74
5
6
South Dakota State
411
312
11
7.23
3.77
8
3
Illinois State
312
262
12
7.22
4.78
6
6
Southern Illinois
340
338
11
5.54
5.46
4
7
Western Illinois
319
346
11
4.97
6.03
6
5
South Dakota
329
379
11
4.59
6.41
4
7
Indiana State
274
359
11
3.80
7.20
4
7
Missouri State
257
393
11
2.94
8.06
4
7
Thought it might provide some interesting food for thought/discussion. One spot that I was happy to see that this accurately predicted UNI underachieving which most are in agreement with on AGS.