Friday, April 12, 2013

Which Teams Overachieved and Which Teams Underachieved in 2012?

Tonight, while working putting together the final validation of the 2013 FBS Prediction Model, my analysis of the results highlighted some very interesting, and kind of disconcerting, things about Nebraska's 2012 season.

The model simulates every FBS game for the entire season.  

As validation, I used the methodology to simulate the 2012 season and prepared a comparison between between the model results and the real game results.  

This first chart shows some of those results of the predicted versus actual wins. 

A positive number of the vertical axis means the model predicted more wins than a team achieved.  Likewise, the negative numbers mean the model predicted fewer wins than the team achieved.

The average delta between the predicted win total and the actual win total is 1.15 games per team. 

21% of teams were predicted correctly.  20% were under-predicted by one win, and 29% were over-predicted by one win.  The model predicted more than 70% of seasons accurately to within one win.

The model under-predicted 12% of season by two wins and 5% by three wins.  It over-predicted 7% over season by two wins and 6% of season by three wins.

Can you guess which team was the most over-achieving?  

You betcha. Dear Old NU.  

The model predicted 6.91 wins but the Huskers finished with 10 wins, for a delta of -3.09 wins.  

While some may be inclined to see this as a positive, and it's certainly better than winning three fewer games than the model anticipated, the fact remains that Nebraska's scoring offense and scoring defense (the basis of the model) should have resulted in a 7-win season...not a 10-win season.

Remember the amazing streak of 4th quarter heroics in the Wisconsin, Northwestern, and Michigan State, and Penn State games?  Remember how Denard Robinson left the game before halftime?   

Sometimes, it's better to be lucky than good.

Interestingly, Ohio State is the #2 most overachieving team, with a predicted win total of 9.12.  Had they played in the Big Ten Championship Game or a bowl game, they would almost certainly have been the most overachieving team by a large margin.

The Top-10 overachievers and Bottom-10 underachievers are:


I put a table with the full results of the model at the end of this post.

Finally, the model provides some insight into the consistency of a team's on-field performance.  The standard deviation of the predicted wins can be used as a proxy for a team's consistency.

So, can you guess which team had the largest standard deviation in the model results, and by proxy, was the least consistent and predictable?  

Yup, Dear Old NU.  Again.

Now, guess which team had the lowest standard deviation in model results.  

Hint:  they won the National Championship.

I'll let my readers draw their own conclusions about this one.

By the way, I'm now a writer over at Football Study Hall.  Stop by and check it out.  I'll be writing about more than just the Huskers over there.

GBR!
@HuskerMath







RankTeamConfPred. WinsActual WinsDelta (rnd)Pred. DeltaAbs( Pred Delta)
1Northern IllinoisMAC13.11211.11.1
2AlabamaSEC12.7130-0.30.3
3Florida StateACC12.51210.50.5
4Utah StateWAC11.21100.20.2
5OregonPac-1211.012-1-1.01.0
6UCFC-USA11.01011.01.0
7GeorgiaSEC10.912-1-1.11.1
8Boise StateMWC10.8110-0.20.2
9Arizona StatePac-1210.7832.72.7
10CincinnatiBig East10.61010.60.6
11TulsaC-USA10.5110-0.50.5
12BYUInd10.5822.52.5
13Texas A&MSEC10.411-1-0.60.6
14Kansas StateBig 129.911-1-1.11.1
15North CarolinaACC9.8821.81.8
16RutgersBig East9.8910.80.8
17ClemsonACC9.811-1-1.21.2
18Oklahoma StateBig 129.8821.81.8
19Bowling GreenMAC9.7821.71.7
20OhioMAC9.7910.70.7
21VanderbiltSEC9.7910.70.7
22San Jose StateWAC9.611-1-1.41.4
23Fresno StateMWC9.6910.60.6
24StanfordPac-129.612-2-2.42.4
25Kent StateMAC9.511-1-1.51.5
26WisconsinBig Ten9.4811.41.4
27South CarolinaSEC9.211-2-1.81.8
28Notre DameInd9.212-3-2.82.8
29Arkansas StateSun Belt9.210-1-0.80.8
30Ohio StateBig Ten9.112-3-2.92.9
31San Diego StateMWC9.1900.10.1
32Penn StateBig Ten8.8810.80.8
33FloridaSEC8.711-2-2.32.3
34LSUSEC8.710-1-1.31.3
35Oregon StatePac-128.790-0.30.3
36Louisiana-LafayetteSun Belt8.690-0.40.4
37NorthwesternBig Ten8.610-1-1.41.4
38OklahomaBig 128.510-2-1.51.5
39MichiganBig Ten8.3800.30.3
40UCLAPac-128.29-1-0.80.8
41Louisiana-MonroeSun Belt8.2800.20.2
42PittsburghBig East8.1622.12.1
43Western KentuckySun Belt8.1711.11.1
44LouisvilleBig East8.111-3-2.92.9
45Mississippi StateSEC8.1800.10.1
46RiceC-USA7.9710.90.9
47TCUBig 127.8710.80.8
48SMUC-USA7.8710.80.8
49Louisiana TechWAC7.79-1-1.31.3
50USCPac-127.7710.70.7
51NevadaMWC7.6710.60.6
52Michigan StateBig Ten7.5710.50.5
53SyracuseBig East7.48-1-0.60.6
54North Carolina StateACC7.4700.40.4
55ToledoMAC7.29-2-1.81.8
56East CarolinaC-USA7.28-1-0.80.8
57NavyInd7.28-1-0.80.8
58Air ForceMWC7.2611.21.2
59Georgia TechACC7.1700.10.1
60TexasBig 127.19-2-1.91.9
61Texas TechBig 127.08-1-1.01.0
62NebraskaBig Ten6.910-3-3.13.1
63Western MichiganMAC6.8432.82.8
64UTSAWAC6.68-1-1.41.4
65Central MichiganMAC6.670-0.40.4
66New MexicoMWC6.5432.52.5
67Virginia TechACC6.47-1-0.60.6
68ConnecticutBig East6.4511.41.4
69Iowa StateBig 126.4600.40.4
70WashingtonPac-126.37-1-0.70.7
71Middle TennesseeSun Belt6.38-2-1.71.7
72Ball StateMAC6.39-3-2.72.7
73BaylorBig 126.28-2-1.81.8
74MississippiSEC6.27-1-0.80.8
75MinnesotaBig Ten6.2600.20.2
76TroySun Belt6.1511.11.1
77UtahPac-126.1511.11.1
78MemphisC-USA5.9421.91.9
79IowaBig Ten5.6421.61.6
80Miami (Florida)ACC5.47-2-1.61.6
81West VirginiaBig 125.37-2-1.71.7
82PurdueBig Ten5.26-1-0.80.8
83ArizonaPac-125.28-3-2.82.8
84Texas StateWAC5.1411.11.1
85HoustonC-USA5.1500.10.1
86WyomingMWC4.9410.90.9
87South AlabamaSun Belt4.8232.82.8
88MarshallC-USA4.850-0.20.2
89UNLVMWC4.8232.82.8
90VirginiaACC4.8410.80.8
91MarylandACC4.8410.80.8
92North TexasSun Belt4.7410.70.7
93Colorado StateMWC4.7410.70.7
94BuffaloMAC4.6410.60.6
95IndianaBig Ten4.5400.50.5
96TennesseeSEC4.45-1-0.60.6
97UTEPC-USA4.4311.41.4
98Florida InternationalSun Belt4.3311.31.3
99UABC-USA4.3311.31.3
100DukeACC4.26-2-1.81.8
101AkronMAC4.0133.03.0
102ArmyInd4.0222.02.0
103South FloridaBig East3.9310.90.9
104TempleBig East3.940-0.10.1
105Boston CollegeACC3.8221.81.8
106Florida AtlanticSun Belt3.8310.80.8
107MissouriSEC3.55-2-1.51.5
108ArkansasSEC3.54-1-0.50.5
109AuburnSEC3.4300.40.4
110Wake ForestACC3.35-2-1.71.7
111Miami (Ohio)MAC3.34-1-0.80.8
112Washington StatePac-123.1300.10.1
113CaliforniaPac-122.830-0.20.2
114HawaiiMWC2.730-0.30.3
115KentuckySEC2.5210.50.5
116New Mexico StateWAC2.4111.41.4
117IllinoisBig Ten2.4200.40.4
118Eastern MichiganMAC2.3200.30.3
119TulaneC-USA1.820-0.20.2
120KansasBig 121.8110.80.8
121Southern MississippiC-USA1.7021.71.7
122IdahoWAC1.3100.30.3
123ColoradoPac-120.910-0.10.1

Saturday, April 6, 2013

Jack Hoffman's Touchdown Run by the numbers

Jack's 69 yards per carry is at least 11 standard deviations above the mean for 7-year olds.  What more can you say?