Monday, September 27, 2010

On Wilson's List

At the end of last week, I submitted this to David Wilson's list of ranking algorithms. (Click on the "Power Ratings and Ranking Systems" link.)

Woohoo! :)

2010, After Four Weeks

Four weeks have gone by. Things are starting to look quite a bit more reasonable! Notice that the rankings converged much faster! There are still some awkward outliers, which continue to think will be fixed by the addition of NIAA teams. In either case, they'll drop out in a few weeks due to the elimination by the not-enough-games-played "rule".

I'd really like to add some functionality, including showing how the rankings differed from last week and how they differ from the BCS ratings. Someday, soon, I hope!

Also, I continue to be nervous about posting the code. I'm always afraid it doesn't look nice enough. Soon, soon.

Here are the latest results:

Number of rounds required to converge: 101

Top 25 Overall:

2010 Final
RankTeamRatingRecord
1LSU1.0(4-0)
2James Madison0.959128830591419(3-0)
3Stanford0.8990608007162848(4-0)
4Kansas St.0.8595251123361292(4-0)
5Arizona0.8454777550937345(4-0)
6Alabama0.7975701924642122(4-0)
7Texas A&M0.7909701747842314(3-0)
8Hobart0.7732493347696605(2-0)
9North Carolina St.0.7675927550907472(4-0)
10Michigan0.7634778033270311(4-0)
11Oklahoma St.0.7534456790348132(3-0)
12Grand Valley St.0.7532060682395415(4-0)
13Auburn0.7531417727781944(4-0)
14Virginia Tech0.7472879493171021(2-2)
15Ohio St.0.735396620926027(4-0)
16Nevada0.7295176486653543(4-0)
17Penn St.0.7203753707528479(3-1)
18Hardin-Simmons0.7165679674992861(3-0)
19Hillsdale0.7152004538848973(2-1)
20Navy0.7100583733980794(2-1)
21Boise St.0.7061705040277447(3-0)
22Montclair St.0.7016329498923773(3-0)
23Southern California0.6841269810696903(4-0)
24Northwestern0.6837127828243537(4-0)
25Norwich0.6724137438231699(3-0)



Top 25 in Division 1 (FBS):

2010 Final
RankTeamRatingRecord
1LSU1.0(4-0)
2Stanford0.8990608007162848(4-0)
3Kansas St.0.8595251123361292(4-0)
4Arizona0.8454777550937345(4-0)
5Alabama0.7975701924642122(4-0)
6Texas A&M0.7909701747842314(3-0)
7North Carolina St.0.7675927550907472(4-0)
8Michigan0.7634778033270311(4-0)
9Oklahoma St.0.7534456790348132(3-0)
10Auburn0.7531417727781944(4-0)
11Virginia Tech0.7472879493171021(2-2)
12Ohio St.0.735396620926027(4-0)
13Nevada0.7295176486653543(4-0)
14Penn St.0.7203753707528479(3-1)
15Navy0.7100583733980794(2-1)
16Boise St.0.7061705040277447(3-0)
17Southern California0.6841269810696903(4-0)
18Northwestern0.6837127828243537(4-0)
19Florida0.6699681672867852(4-0)
20TCU0.6698407456394113(4-0)
21Missouri0.657708466115315(4-0)
22Iowa0.6406493700124972(3-1)
23Temple0.6320281354406284(3-1)
24South Carolina0.6242317379834487(3-1)
25West Virginia0.6171496768173702(3-1)



Top 25 in Division 1 (FCS):

2010 Final
RankTeamRatingRecord
1James Madison0.959128830591419(3-0)
2Appalachian St.0.6336914384400804(4-0)
3Jackson St.0.6221347322894994(3-1)
4Dayton0.6210171358170417(3-1)
5Delaware0.5896389701189942(4-0)
6Grambling0.5709239893859965(2-1)
7Brown0.5581825409696802(2-0)
8Jacksonville St.0.5498250641679467(4-0)
9Massachusetts0.5362259220204686(3-1)
10Alcorn St.0.5257303658470335(3-0)
11Montana St.0.5136535052977926(3-1)
12Youngstown St.0.4936521195075233(3-1)
13Villanova0.49097097126106526(3-1)
14Cal Poly0.47888545443774966(3-1)
15Robert Morris0.4735906773459583(3-1)
16Dartmouth0.47190077518248985(2-0)
17New Hampshire0.4707677889209164(2-2)
18Duquesne0.46697216537373065(3-1)
19Yale0.46389972774259913(2-0)
20Texas St.0.4636543412151669(3-1)
21Liberty0.46129995473190655(2-2)
22North Dakota St.0.4579766339254513(3-1)
23Stephen F. Austin0.4501026653783854(3-1)
24UNI0.4495081145515365(1-2)
25Chattanooga0.44765977987918415(2-2)



Top 25 in Division 2:

2010 Final
RankTeamRatingRecord
1Grand Valley St.0.7532060682395415(4-0)
2Hillsdale0.7152004538848973(2-1)
3Augustana (SD)0.6716583015730646(3-0)
4North Ala.0.6663031219460399(3-0)
5Michigan Tech0.6391311829192909(2-0)
6Tusculum0.6290639170477837(4-0)
7Central Mo.0.6271945509234075(3-1)
8West Va. Wesleyan0.62470717116699(3-0)
9Assumption0.6145934325072667(4-0)
10Delta St.0.6045239814240032(3-1)
11West Ala.0.5767816426005136(3-1)
12Arkansas Tech0.5662316083824123(2-2)
13Northern Mich.0.5642869143794459(3-1)
14Minn. Duluth0.5537540215292565(3-0)
15Henderson St.0.546326470603365(2-2)
16Wingate0.5433875787753667(2-1)
17California (PA)0.5299874315106912(3-0)
18Indianapolis0.5273236545109489(2-1)
19St. Cloud St.0.5213267719980106(2-1)
20Shepherd0.505281100018922(3-0)
21Abilene Christian0.49949934575524046(3-0)
22Minn. St. Mankato0.49787192658680135(3-0)
23Albany St. (GA)0.4939728889219229(4-0)
24Mo. Western St.0.4925271898408897(3-0)
25Valdosta St.0.49006891516856377(3-1)



Top 25 in Division 3:

2010 Final
RankTeamRatingRecord
1Hobart0.7732493347696605(2-0)
2Hardin-Simmons0.7165679674992861(3-0)
3Montclair St.0.7016329498923773(3-0)
4Norwich0.6724137438231699(3-0)
5Wis.-Eau Claire0.6696580572702795(2-0)
6Birmingham-So.0.6568025510140892(1-0)
7Ripon0.650883725958288(3-0)
8Randolph-Macon0.6347661834398088(3-0)
9Delaware Valley0.6330307411951487(2-1)
10Ursinus0.6189669944393136(4-0)
11Johns Hopkins0.6109930797194784(1-1)
12Baldwin-Wallace0.6100434176242808(3-0)
13Pacific Lutheran0.6069028558414982(2-0)
14Carroll (WI)0.6061886823890549(3-0)
15Framingham St.0.5857758416567312(3-1)
16Wesley0.5857543762594452(3-0)
17Thomas More0.5828458403445435(2-0)
18DePauw0.5701206703832405(2-0)
19Utica0.5691670171753636(4-0)
20Muskingum0.567787675314782(2-0)
21Wheaton (IL)0.5600781632212586(2-0)
22Rowan0.5592053643954011(2-1)
23Mount Ida0.55160263419335(1-1)
24Hampden-Sydney0.5507639074062681(3-0)
25Endicott0.5390219398471641(3-1)



Overall rankings:

2010 Results
Using function fitting score differences to a sinusoidal wave
1: LSU (4-0) with rating: 1.0
2: James Madison (3-0) with rating: 0.959128830591419
3: Stanford (4-0) with rating: 0.8990608007162848
4: Kansas St. (4-0) with rating: 0.8595251123361292
5: Arizona (4-0) with rating: 0.8454777550937345
6: Alabama (4-0) with rating: 0.7975701924642122
7: Texas A&M (3-0) with rating: 0.7909701747842314
8: Hobart (2-0) with rating: 0.7732493347696605
9: North Carolina St. (4-0) with rating: 0.7675927550907472
10: Michigan (4-0) with rating: 0.7634778033270311
11: Oklahoma St. (3-0) with rating: 0.7534456790348132
12: Grand Valley St. (4-0) with rating: 0.7532060682395415
13: Auburn (4-0) with rating: 0.7531417727781944
14: Virginia Tech (2-2) with rating: 0.7472879493171021
15: Ohio St. (4-0) with rating: 0.735396620926027
16: Nevada (4-0) with rating: 0.7295176486653543
17: Penn St. (3-1) with rating: 0.7203753707528479
18: Hardin-Simmons (3-0) with rating: 0.7165679674992861
19: Hillsdale (2-1) with rating: 0.7152004538848973
20: Navy (2-1) with rating: 0.7100583733980794
21: Boise St. (3-0) with rating: 0.7061705040277447
22: Montclair St. (3-0) with rating: 0.7016329498923773
23: Southern California (4-0) with rating: 0.6841269810696903
24: Northwestern (4-0) with rating: 0.6837127828243537
25: Norwich (3-0) with rating: 0.6724137438231699
26: Augustana (SD) (3-0) with rating: 0.6716583015730646
27: Florida (4-0) with rating: 0.6699681672867852
28: TCU (4-0) with rating: 0.6698407456394113
29: Wis.-Eau Claire (2-0) with rating: 0.6696580572702795
30: North Ala. (3-0) with rating: 0.6663031219460399
31: Missouri (4-0) with rating: 0.657708466115315
32: Birmingham-So. (1-0) with rating: 0.6568025510140892
33: Ripon (3-0) with rating: 0.650883725958288
34: Iowa (3-1) with rating: 0.6406493700124972
35: Michigan Tech (2-0) with rating: 0.6391311829192909
36: Randolph-Macon (3-0) with rating: 0.6347661834398088
37: Appalachian St. (4-0) with rating: 0.6336914384400804
38: Delaware Valley (2-1) with rating: 0.6330307411951487
39: Temple (3-1) with rating: 0.6320281354406284
40: Tusculum (4-0) with rating: 0.6290639170477837
41: Central Mo. (3-1) with rating: 0.6271945509234075
42: West Va. Wesleyan (3-0) with rating: 0.62470717116699
43: South Carolina (3-1) with rating: 0.6242317379834487
44: Jackson St. (3-1) with rating: 0.6221347322894994
45: Dayton (3-1) with rating: 0.6210171358170417
46: Ursinus (4-0) with rating: 0.6189669944393136
47: West Virginia (3-1) with rating: 0.6171496768173702
48: UCLA (2-2) with rating: 0.6158517097239643
49: Assumption (4-0) with rating: 0.6145934325072667
50: Johns Hopkins (1-1) with rating: 0.6109930797194784
51: Oklahoma (4-0) with rating: 0.6105838890060785
52: Baldwin-Wallace (3-0) with rating: 0.6100434176242808
53: Pacific Lutheran (2-0) with rating: 0.6069028558414982
54: Carroll (WI) (3-0) with rating: 0.6061886823890549
55: Delta St. (3-1) with rating: 0.6045239814240032
56: California (2-2) with rating: 0.6002478466777241
57: Houston (3-1) with rating: 0.5968959478314669
58: Oregon (4-0) with rating: 0.5965942654403799
59: Delaware (4-0) with rating: 0.5896389701189942
60: Vanderbilt (1-2) with rating: 0.5881097309398574
61: Michigan St. (4-0) with rating: 0.5872399813097839
62: Framingham St. (3-1) with rating: 0.5857758416567312
63: Wesley (3-0) with rating: 0.5857543762594452
64: Thomas More (2-0) with rating: 0.5828458403445435
65: West Ala. (3-1) with rating: 0.5767816426005136
66: Grambling (2-1) with rating: 0.5709239893859965
67: DePauw (2-0) with rating: 0.5701206703832405
68: Utica (4-0) with rating: 0.5691670171753636
69: Muskingum (2-0) with rating: 0.567787675314782
70: Arkansas Tech (2-2) with rating: 0.5662316083824123
71: Northern Mich. (3-1) with rating: 0.5642869143794459
72: Wheaton (IL) (2-0) with rating: 0.5600781632212586
73: Rowan (2-1) with rating: 0.5592053643954011
74: Brown (2-0) with rating: 0.5581825409696802
75: Minn. Duluth (3-0) with rating: 0.5537540215292565
76: Mount Ida (1-1) with rating: 0.55160263419335
77: Hampden-Sydney (3-0) with rating: 0.5507639074062681
78: Jacksonville St. (4-0) with rating: 0.5498250641679467
79: Henderson St. (2-2) with rating: 0.546326470603365
80: Iowa St. (2-2) with rating: 0.543725813172509
81: Wingate (2-1) with rating: 0.5433875787753667
82: Endicott (3-1) with rating: 0.5390219398471641
83: Maryland (3-1) with rating: 0.5364636266251274
84: Massachusetts (3-1) with rating: 0.5362259220204686
85: Toledo (3-1) with rating: 0.5361817021694898
86: Redlands (2-0) with rating: 0.5345649646329877
87: California (PA) (3-0) with rating: 0.5299874315106912
88: Frank. & Marsh. (3-1) with rating: 0.5294866624450156
89: Miami (FL) (2-1) with rating: 0.5276587883672278
90: Indianapolis (2-1) with rating: 0.5273236545109489
91: Alcorn St. (3-0) with rating: 0.5257303658470335
92: Mississippi (2-2) with rating: 0.524500574790496
93: Rhodes (2-1) with rating: 0.5231337289243994
94: St. Cloud St. (2-1) with rating: 0.5213267719980106
95: Nebraska (4-0) with rating: 0.517695382959556
96: Montana St. (3-1) with rating: 0.5136535052977926
97: Allegheny (2-1) with rating: 0.5123782913199024
98: Tulsa (2-2) with rating: 0.5113088993912809
99: Huntingdon (3-0) with rating: 0.5109022292254902
100: Elmhurst (3-0) with rating: 0.5091673338985115
101: St. Thomas (MN) (3-0) with rating: 0.5055017933903364
102: Shepherd (3-0) with rating: 0.505281100018922
103: UCF (2-2) with rating: 0.5037917500205389
104: Wisconsin (4-0) with rating: 0.5033292687377148
105: Abilene Christian (3-0) with rating: 0.49949934575524046
106: Augsburg (3-0) with rating: 0.49924900755586255
107: Mississippi Col. (2-2) with rating: 0.4982856079373521
108: Minn. St. Mankato (3-0) with rating: 0.49787192658680135
109: Wis.-Stout (2-1) with rating: 0.4977883615734321
110: Arkansas (3-1) with rating: 0.49526442018560213
111: Salisbury (3-0) with rating: 0.4945605634948781
112: Albany St. (GA) (4-0) with rating: 0.4939728889219229
113: Youngstown St. (3-1) with rating: 0.4936521195075233
114: Mo. Western St. (3-0) with rating: 0.4925271898408897
115: Southern Miss. (3-1) with rating: 0.49212737464854717
116: Ill. Wesleyan (3-0) with rating: 0.49158694688373694
117: Villanova (3-1) with rating: 0.49097097126106526
118: Valdosta St. (3-1) with rating: 0.49006891516856377
119: Notre Dame (1-3) with rating: 0.48647178239735234
120: Virginia (2-1) with rating: 0.4852173307835521
121: N.C. Wesleyan (1-2) with rating: 0.4851079363935825
122: Illinois (2-1) with rating: 0.4847093152501507
123: Arizona St. (2-2) with rating: 0.48444799934015936
124: Western New Eng. (3-1) with rating: 0.4838798827945132
125: Pittsburgh (1-2) with rating: 0.48377990980630636
126: Mary Hardin-Baylor (2-0) with rating: 0.48137614176465404
127: Coe (4-0) with rating: 0.4807723303183371
128: East Carolina (2-1) with rating: 0.4797441467480915
129: Wartburg (4-0) with rating: 0.47963778402265866
130: Cal Poly (3-1) with rating: 0.47888545443774966
131: Colorado (2-1) with rating: 0.47860939437280825
132: FDU-Florham (3-0) with rating: 0.47565539694024317
133: Urbana (1-2) with rating: 0.47377292837032625
134: Emory & Henry (3-0) with rating: 0.4736235616025112
135: Robert Morris (3-1) with rating: 0.4735906773459583
136: Troy (2-2) with rating: 0.4726525382777156
137: Dartmouth (2-0) with rating: 0.47190077518248985
138: North Carolina (1-2) with rating: 0.4715460779028865
139: Mississippi St. (2-2) with rating: 0.47103827094390316
140: New Hampshire (2-2) with rating: 0.4707677889209164
141: Concord (2-1) with rating: 0.46960171507241044
142: Central Mich. (2-2) with rating: 0.46873981166362444
143: Alfred (3-0) with rating: 0.4681762371131798
144: Wittenberg (4-0) with rating: 0.46781374525637054
145: Wm. Paterson (2-1) with rating: 0.4676291948130751
146: Duquesne (3-1) with rating: 0.46697216537373065
147: Bridgewater (VA) (2-0) with rating: 0.4667516957244664
148: SUNY Maritime (3-0) with rating: 0.46641297905506174
149: Augustana (IL) (2-1) with rating: 0.465708954285613
150: Louisiana Tech (1-3) with rating: 0.46568879699361543
151: Central (IA) (3-1) with rating: 0.4654749948062352
152: Yale (2-0) with rating: 0.46389972774259913
153: Texas St. (3-1) with rating: 0.4636543412151669
154: Liberty (2-2) with rating: 0.46129995473190655
155: Winona St. (2-1) with rating: 0.46069864804106897
156: Air Force (3-1) with rating: 0.46022918398262835
157: Carson-Newman (2-1) with rating: 0.45949569548376146
158: Rutgers (2-1) with rating: 0.4581970950762574
159: North Dakota St. (3-1) with rating: 0.4579766339254513
160: West Tex. A&M (2-1) with rating: 0.4572328964406416
161: Sul Ross St. (1-1) with rating: 0.4569268717977476
162: Plymouth St. (3-1) with rating: 0.4567865730334889
163: Boston College (2-1) with rating: 0.4567110364061926
164: Lycoming (2-1) with rating: 0.45138000374890086
165: Texas (3-1) with rating: 0.4508360328024288
166: Georgia Tech (2-2) with rating: 0.45048217084180264
167: Clemson (2-1) with rating: 0.4503210120107639
168: Wis. Lutheran (2-1) with rating: 0.45030514962624546
169: Stephen F. Austin (3-1) with rating: 0.4501026653783854
170: Utah (4-0) with rating: 0.4497427307085271
171: West Liberty (1-1) with rating: 0.4495781221178411
172: UNI (1-2) with rating: 0.4495081145515365
173: Chattanooga (2-2) with rating: 0.44765977987918415
174: Trinity (TX) (1-1) with rating: 0.4470750294271941
175: William & Mary (3-1) with rating: 0.4452773376985556
176: Millikin (3-0) with rating: 0.44417945140412374
177: Carthage (3-0) with rating: 0.4400968855594465
178: Wayne St. (MI) (2-1) with rating: 0.4389576482749127
179: St. John's (MN) (2-1) with rating: 0.43807238112287217
180: St. John Fisher (3-0) with rating: 0.43802631681762305
181: Grove City (2-1) with rating: 0.43639229006767066
182: Stonehill (2-1) with rating: 0.436357094423956
183: Albright (2-1) with rating: 0.43576189818036715
184: Humboldt St. (3-1) with rating: 0.43478098206343563
185: Army (3-1) with rating: 0.4347743890022654
186: Purdue (2-2) with rating: 0.43372034483651745
187: Tex. A&M-Kingsville (3-0) with rating: 0.4331152337338201
188: Case (3-0) with rating: 0.43232246431412547
189: Rensselaer (1-1) with rating: 0.4321568550429744
190: Winston-Salem (5-0) with rating: 0.4290312950915717
191: Muhlenberg (2-1) with rating: 0.4281513898570347
192: Ashland (1-3) with rating: 0.4265679081889535
193: Catawba (2-1) with rating: 0.42611534620811453
194: Florida St. (3-1) with rating: 0.42533493266932443
195: Morehead St. (2-2) with rating: 0.4248161967813867
196: Millsaps (1-2) with rating: 0.4243653751863632
197: Fresno St. (2-1) with rating: 0.42343131141658397
198: Edinboro (3-0) with rating: 0.4225356183377721
199: Morehouse (4-0) with rating: 0.4219431847162777
200: Centre (2-2) with rating: 0.42193989621562955
201: Ga. Southern (3-1) with rating: 0.42180939716966137
202: Westminster (MO) (2-1) with rating: 0.4199650851410953
203: Baylor (3-1) with rating: 0.4186357604769768
204: Angelo St. (2-0) with rating: 0.41853503244645607
205: Kutztown (3-0) with rating: 0.41853423001573964
206: Hawaii (2-2) with rating: 0.4184382865569033
207: Wis.-Whitewater (3-0) with rating: 0.41789472293221686
208: Gettysburg (1-2) with rating: 0.41741549324408367
209: Colorado St.-Pueblo (3-0) with rating: 0.4174090213861136
210: Pittsburg St. (2-1) with rating: 0.41712993338813853
211: WPI (2-1) with rating: 0.41639600612640815
212: San Diego St. (3-1) with rating: 0.41547141723422876
213: Ark.-Monticello (2-2) with rating: 0.41459145831251254
214: Chicago (2-1) with rating: 0.4143964001515983
215: Washburn (1-2) with rating: 0.41287332878022387
216: Salve Regina (1-3) with rating: 0.40924640052441486
217: Louisiana Col. (1-2) with rating: 0.40848455065553413
218: Mount Union (3-0) with rating: 0.4082343280295465
219: Fort Hays St. (3-0) with rating: 0.4078300523792078
220: Trine (3-0) with rating: 0.40725974379906815
221: Bloomsburg (2-1) with rating: 0.4065921700259191
222: Millersville (2-1) with rating: 0.40241046509820844
223: Capital (1-1) with rating: 0.4021281768512499
224: Bridgewater St. (2-2) with rating: 0.40014264358529306
225: Wofford (2-1) with rating: 0.3995437403220041
226: UNC Pembroke (2-1) with rating: 0.39831295090221863
227: Charleston (WV) (2-1) with rating: 0.39731131541437215
228: Tennessee St. (2-2) with rating: 0.3972029268155687
229: Ithaca (3-1) with rating: 0.39692718268344196
230: Jacksonville (3-1) with rating: 0.39684045929472056
231: Charleston So. (2-2) with rating: 0.39609793679713035
232: Curry (3-1) with rating: 0.39574005039024307
233: Wabash (2-0) with rating: 0.3956496984399288
234: South Fla. (2-1) with rating: 0.39305245501906627
235: Mt. St. Joseph (2-0) with rating: 0.3923305575107774
236: Central Ark. (3-1) with rating: 0.39210545615092407
237: Cortland St. (3-0) with rating: 0.39021877460605414
238: Bethune-Cookman (3-0) with rating: 0.3867960275598564
239: Illinois St. (3-1) with rating: 0.3864659320215098
240: Maine Maritime (2-0) with rating: 0.38571057654880536
241: Midwestern St. (3-0) with rating: 0.3851627803023341
242: Carnegie Mellon (2-2) with rating: 0.38490290607260513
243: Rhode Island (1-2) with rating: 0.38447140419695613
244: Sacramento St. (2-2) with rating: 0.3842494079193137
245: Western Ill. (3-1) with rating: 0.3841263476903235
246: Gallaudet (0-1) with rating: 0.38372032616069496
247: Northern Ill. (2-2) with rating: 0.3825184478131366
248: Georgetown (3-1) with rating: 0.38222117430822267
249: Ohio (1-3) with rating: 0.38194345598991797
250: Texas Tech (2-1) with rating: 0.3807821814545368
251: Fordham (2-2) with rating: 0.3793145573142711
252: Mo. Southern St. (2-1) with rating: 0.3784502708830211
253: Slippery Rock (3-0) with rating: 0.3778135164330213
254: Colorado Mines (3-1) with rating: 0.37486199938485687
255: West Ga. (2-2) with rating: 0.3738454435006052
256: Stony Brook (1-3) with rating: 0.37347395158725083
257: Mars Hill (2-2) with rating: 0.37304946618324275
258: SMU (2-2) with rating: 0.372969385735488
259: Minn.-Morris (2-1) with rating: 0.3723186000845271
260: St. Augustine's (2-1) with rating: 0.37171755676129625
261: Lakeland (1-2) with rating: 0.37170168785333957
262: Ohio Northern (2-0) with rating: 0.37112263009743884
263: Middle Tenn. (2-2) with rating: 0.37031804280329694
264: Gannon (2-1) with rating: 0.3695773833328918
265: Bryant (3-1) with rating: 0.36835424118557203
266: Lenoir-Rhyne (3-1) with rating: 0.36709656517032074
267: Southeast Mo. St. (3-1) with rating: 0.36684134460847173
268: Syracuse (3-1) with rating: 0.3668260578194322
269: Franklin (2-1) with rating: 0.3668150301776195
270: Lebanon Valley (1-2) with rating: 0.3666684054001714
271: Willamette (2-1) with rating: 0.3662931190392077
272: North Park (2-1) with rating: 0.3657909025232948
273: Northern Ariz. (2-1) with rating: 0.3654019366752963
274: Central Conn. St. (2-2) with rating: 0.3648175145170385
275: Grinnell (3-1) with rating: 0.36391459775747115
276: Montana (2-2) with rating: 0.362706855324207
277: Connecticut (2-2) with rating: 0.36246995970553897
278: Wayne St. (NE) (2-1) with rating: 0.3604806424477901
279: UTEP (3-1) with rating: 0.3601938816935293
280: Springfield (3-1) with rating: 0.3593989621284247
281: Fairmont St. (2-1) with rating: 0.3593299425765061
282: Saginaw Valley (1-3) with rating: 0.35831475914918487
283: Kansas (2-2) with rating: 0.356160811113268
284: Washington (1-2) with rating: 0.3536546183137904
285: Indiana (3-0) with rating: 0.3528050928514961
286: Old Dominion (2-2) with rating: 0.3524568961804939
287: McDaniel (3-1) with rating: 0.3509003414802373
288: Sacred Heart (1-3) with rating: 0.3500811704859651
289: Defiance (1-2) with rating: 0.3476086996637102
290: Merchant Marine (1-2) with rating: 0.3448546560721626
291: South Ala. (3-0) with rating: 0.3446014977282081
292: Aurora (2-1) with rating: 0.34432747659654683
293: TCNJ (0-2) with rating: 0.3429259882749811
294: Dickinson (1-2) with rating: 0.3417916649002923
295: Howard Payne (2-2) with rating: 0.340186488339012
296: Ouachita Baptist (3-1) with rating: 0.3398997069546927
297: Ferris St. (2-1) with rating: 0.33839121112981585
298: Bemidji St. (2-1) with rating: 0.3381094670085485
299: Bethel (MN) (3-0) with rating: 0.3379520314037784
300: Tuskegee (3-1) with rating: 0.3377533923216712
301: St. Olaf (3-1) with rating: 0.33646542624255626
302: Ball St. (1-3) with rating: 0.33605385586150327
303: North Central (IL) (2-0) with rating: 0.33470226159978644
304: Marist (1-2) with rating: 0.3343164063645627
305: Idaho (2-2) with rating: 0.33395121624687546
306: New Haven (2-1) with rating: 0.33296470169802106
307: Eastern Wash. (2-2) with rating: 0.3311936030295586
308: St. Francis (PA) (1-2) with rating: 0.32921479863367964
309: LaGrange (1-3) with rating: 0.32544316800645307
310: Austin (2-2) with rating: 0.3228620737099428
311: Crown (MN) (3-1) with rating: 0.32285011802540137
312: Elizabeth City St. (2-2) with rating: 0.3220146983656863
313: Martin Luther (2-2) with rating: 0.32182135318235927
314: Alabama St. (3-1) with rating: 0.3206818675185721
315: Indiana (PA) (2-1) with rating: 0.32024828268495187
316: Wis.-Platteville (2-1) with rating: 0.3164672954347171
317: Weber St. (2-2) with rating: 0.3163624254689281
318: East Tex. Baptist (2-2) with rating: 0.31617006003966996
319: Mercyhurst (2-1) with rating: 0.31573113481203596
320: UAB (1-3) with rating: 0.3154507965754797
321: Furman (2-1) with rating: 0.31478977031982447
322: Adrian (1-2) with rating: 0.3146957242255842
323: Cincinnati (1-3) with rating: 0.3144584052084488
324: Hamline (0-2) with rating: 0.313265485399455
325: Shaw (2-2) with rating: 0.3122944861399837
326: Bowling Green (1-3) with rating: 0.310295066974527
327: Worcester St. (2-1) with rating: 0.3097425660720869
328: Westfield St. (1-2) with rating: 0.3096206410220711
329: Emporia St. (3-1) with rating: 0.30925001150116704
330: Concordia Chicago (2-1) with rating: 0.3072229186824046
331: Lehigh (2-2) with rating: 0.3068398610298848
332: Wooster (1-2) with rating: 0.3056308582890776
333: Macalester (3-1) with rating: 0.3050666296399931
334: Neb.-Kearney (2-1) with rating: 0.3045788859152856
335: Hartwick (2-1) with rating: 0.30372341141073267
336: Memphis (1-3) with rating: 0.30229172684513683
337: Kentucky (3-1) with rating: 0.30135013074639805
338: Butler (2-2) with rating: 0.29888044062344316
339: St. Vincent (1-2) with rating: 0.29795744008247815
340: Truman (2-1) with rating: 0.2975592414389687
341: Minnesota (1-3) with rating: 0.29718369998153615
342: Southeastern La. (1-3) with rating: 0.29686045582124676
343: Mass. Maritime (1-2) with rating: 0.2959006855052154
344: Columbia (1-1) with rating: 0.29554427712131487
345: Coast Guard (1-1) with rating: 0.2952928845674836
346: Northwood (MI) (2-2) with rating: 0.29520965969481777
347: Marshall (1-3) with rating: 0.29409811584991674
348: Monmouth (IL) (1-2) with rating: 0.2940960914796017
349: Hanover (2-2) with rating: 0.2940083840242034
350: Penn (1-1) with rating: 0.2927695312639388
351: Texas Southern (1-3) with rating: 0.2885141592016732
352: Northern Colo. (2-2) with rating: 0.2875189032231694
353: Moravian (1-2) with rating: 0.2856258947544324
354: Denison (3-1) with rating: 0.2850797057351989
355: Western N.M. (1-3) with rating: 0.2833831958361597
356: North Dakota (2-2) with rating: 0.28309087392835774
357: Beloit (2-2) with rating: 0.28192936778289485
358: Northwest Mo. St. (1-1) with rating: 0.28175796552965227
359: C.W. Post (1-2) with rating: 0.2798077265696265
360: Southern Ill. (1-3) with rating: 0.2797994222180854
361: Cal Lutheran (1-1) with rating: 0.27975402322213305
362: Shippensburg (1-2) with rating: 0.2791266712621097
363: Occidental (1-1) with rating: 0.27847719669777615
364: Buffalo (1-3) with rating: 0.27809759935801953
365: American Int'l (1-2) with rating: 0.277985291373647
366: Concordia-St. Paul (2-1) with rating: 0.27778303982411034
367: Chadron St. (3-1) with rating: 0.2773189988533664
368: Tennessee (2-2) with rating: 0.27687109285608824
369: Wis.-Stevens Point (2-1) with rating: 0.27623254002198083
370: N.C. Central (2-2) with rating: 0.2754580509316885
371: Fort Lewis (1-1) with rating: 0.2746267900109137
372: Georgia St. (2-2) with rating: 0.2732518020417968
373: Averett (1-1) with rating: 0.2715301092057767
374: Glenville St. (2-1) with rating: 0.2705613367584951
375: Maine (1-3) with rating: 0.2693206994422394
376: Wash. & Jeff. (1-1) with rating: 0.26906336491011285
377: Austin Peay (2-2) with rating: 0.26870518875869864
378: Nichols (0-4) with rating: 0.26852918593100394
379: North Greenville (2-3) with rating: 0.26822823516976485
380: Fort Valley St. (3-1) with rating: 0.26766550327870997
381: Alabama A&M (2-2) with rating: 0.26752697270913806
382: Texas Lutheran (1-2) with rating: 0.267427367837342
383: Harding (1-2) with rating: 0.2658769377500149
384: Elon (1-3) with rating: 0.2649685478989555
385: Okla. Panhandle (2-2) with rating: 0.26467751855750665
386: Castleton St. (0-2) with rating: 0.26451142170060404
387: Norfolk St. (2-2) with rating: 0.26434457215389384
388: Ferrum (0-2) with rating: 0.26412031603706
389: Lafayette (0-3) with rating: 0.263594372896223
390: Princeton (1-1) with rating: 0.26332621866395944
391: Lamar (2-2) with rating: 0.2622905615683423
392: Kent St. (1-2) with rating: 0.2620035730003081
393: Catholic (2-2) with rating: 0.26190516773044137
394: Murray St. (1-3) with rating: 0.26086024936553953
395: Ark.-Pine Bluff (1-2) with rating: 0.2606320566952278
396: Miami (OH) (2-2) with rating: 0.2591553805809711
397: McMurry (2-2) with rating: 0.2576398866505162
398: Tiffin (1-2) with rating: 0.25728930321600596
399: Waynesburg (1-1) with rating: 0.25633859777779555
400: Western Caro. (1-3) with rating: 0.25504734535568363
401: Ky. Wesleyan (2-1) with rating: 0.254807149778118
402: Sam Houston St. (1-2) with rating: 0.2546789728862293
403: South Carolina St. (2-1) with rating: 0.25457040590131097
404: Linfield (1-1) with rating: 0.2532892391953401
405: Washington-St. Louis (1-2) with rating: 0.2532214988801482
406: Heidelberg (1-1) with rating: 0.2526968637143122
407: Southwest Minn. St. (2-1) with rating: 0.2522597882544654
408: Central Okla. (1-2) with rating: 0.2509611338123118
409: Gardner-Webb (2-2) with rating: 0.25043701649971306
410: Marietta (1-1) with rating: 0.25002695541557574
411: Wash. & Lee (1-1) with rating: 0.24986660893173834
412: Hampton (2-1) with rating: 0.24981634743811895
413: Georgia (1-3) with rating: 0.24962574338861127
414: Tulane (1-2) with rating: 0.2488348648543233
415: Eastern N.M. (1-2) with rating: 0.2483258559994927
416: Fla. Atlantic (1-2) with rating: 0.24685654853913938
417: Central Wash. (2-2) with rating: 0.24684083333606333
418: Harvard (1-1) with rating: 0.24614262230510905
419: Manchester (2-1) with rating: 0.24599163195488186
420: Missouri St. (1-2) with rating: 0.24569599429754105
421: West Chester (0-3) with rating: 0.24538021461451826
422: Oregon St. (1-2) with rating: 0.24479302272401615
423: Hope (0-4) with rating: 0.24449485446235086
424: Westminster (PA) (1-2) with rating: 0.24439131494951713
425: Duke (1-3) with rating: 0.24353149425586912
426: Southern Utah (1-3) with rating: 0.2428606880881644
427: Arkansas St. (1-3) with rating: 0.24101121702919842
428: Brevard (2-1) with rating: 0.2405216651341453
429: Wyoming (1-3) with rating: 0.24036195458655402
430: Southwest Baptist (2-2) with rating: 0.24011306045897102
431: Campbell (1-3) with rating: 0.2386033294000424
432: San Diego (1-3) with rating: 0.23844953978120528
433: Wake Forest (2-2) with rating: 0.23841401273945237
434: South Dakota (2-2) with rating: 0.2378881947060614
435: FIU (0-3) with rating: 0.23776108621452607
436: St. Scholastica (2-2) with rating: 0.2355096593727397
437: Hiram (1-2) with rating: 0.23378051618577037
438: Maryville (TN) (1-2) with rating: 0.23369669666370946
439: BYU (1-3) with rating: 0.23298201972428145
440: Richmond (1-2) with rating: 0.23284544048848965
441: Washington St. (1-3) with rating: 0.23228944524423495
442: Morgan St. (2-2) with rating: 0.23217474493692092
443: Virginia Union (1-3) with rating: 0.23215375769446492
444: Prairie View (1-3) with rating: 0.23143653044145665
445: Methodist (1-1) with rating: 0.23139481469571424
446: Samford (2-2) with rating: 0.23092662010752343
447: Kean (2-1) with rating: 0.23013252576550802
448: La.-Lafayette (1-2) with rating: 0.22705761702909003
449: Southeastern Okla. (1-2) with rating: 0.22616828052082905
450: Concordia-M'head (1-2) with rating: 0.22595546330059463
451: UC Davis (1-3) with rating: 0.22590252487456575
452: Lawrence (1-2) with rating: 0.22556751914936005
453: Susquehanna (1-3) with rating: 0.22548929176136723
454: Portland St. (1-2) with rating: 0.22430553744573284
455: Virginia St. (2-1) with rating: 0.223600390578296
456: Western Ore. (2-2) with rating: 0.22214012652688506
457: Oberlin (1-1) with rating: 0.22094012861025392
458: Dubuque (1-2) with rating: 0.22014556749439518
459: St. Norbert (1-2) with rating: 0.22007280534147222
460: Albany (NY) (1-2) with rating: 0.218733340606764
461: East Stroudsburg (1-2) with rating: 0.21715797292179262
462: Wis.-Oshkosh (1-2) with rating: 0.21588587467107817
463: Greensboro (1-2) with rating: 0.21535386575447552
464: North Texas (1-3) with rating: 0.21388064686090458
465: Rochester (NY) (0-2) with rating: 0.21337242968409942
466: Clark Atlanta (2-2) with rating: 0.21311273957059504
467: Tennessee Tech (1-3) with rating: 0.21251623977769246
468: Louisville (1-2) with rating: 0.21190894361447526
469: Bowie St. (2-3) with rating: 0.21041986320478265
470: Gust. Adolphus (1-2) with rating: 0.21038858627589369
471: Newberry (1-2) with rating: 0.20952431734634097
472: Utah St. (1-3) with rating: 0.2092014766898878
473: Mass.-Dartmouth (1-3) with rating: 0.20839142963072954
474: McNeese St. (1-2) with rating: 0.2077527049117876
475: Wilkes (1-2) with rating: 0.20530755326723898
476: Wis.-La Crosse (0-2) with rating: 0.2052714330620649
477: Incarnate Word (1-2) with rating: 0.20427603804801517
478: Indiana St. (1-2) with rating: 0.20407047908009102
479: Bentley (1-2) with rating: 0.20332534365622662
480: Benedictine (IL) (1-1) with rating: 0.2021540822873852
481: La.-Monroe (1-2) with rating: 0.20194032776440257
482: Kentucky St. (2-2) with rating: 0.19962994646782967
483: Florida A&M (2-2) with rating: 0.19941321679001428
484: Fayetteville St. (1-3) with rating: 0.19934214809239462
485: Northern St. (0-3) with rating: 0.1976300196387208
486: Shenandoah (0-3) with rating: 0.19638577078192962
487: Kenyon (0-3) with rating: 0.19626083803217126
488: Coastal Caro. (1-3) with rating: 0.19607118190744738
489: Western Mich. (1-2) with rating: 0.19466712205299996
490: Colorado St. (1-3) with rating: 0.19455910653563074
491: Brockport (1-1) with rating: 0.19368450693059835
492: Puget Sound (1-1) with rating: 0.19264543339966272
493: Citadel (2-2) with rating: 0.19257626148806914
494: Luther (1-2) with rating: 0.1921971659105574
495: Lincoln (PA) (1-2) with rating: 0.19185915078399846
496: Lincoln (MO) (1-2) with rating: 0.1908888754447903
497: Southern Conn. St. (1-2) with rating: 0.1897157178840576
498: Frostburg St. (1-2) with rating: 0.1875873665202255
499: Bucknell (0-3) with rating: 0.18743297265099423
500: San Jose St. (1-3) with rating: 0.18690956772241885
501: Southern U. (1-2) with rating: 0.1862612987017092
502: King's (PA) (0-3) with rating: 0.1861118113644169
503: Albion (1-3) with rating: 0.18533388029240264
504: Seton Hill (1-3) with rating: 0.18532841229809488
505: Simpson (1-2) with rating: 0.1852624290351335
506: Guilford (0-3) with rating: 0.1851468582005696
507: Rose-Hulman (1-2) with rating: 0.18422800968844005
508: Drake (2-2) with rating: 0.18402093121436364
509: Wilmington (OH) (0-3) with rating: 0.18316893578005733
510: Bethany (WV) (1-3) with rating: 0.1824842938353919
511: Union (NY) (0-1) with rating: 0.18022817987106549
512: Findlay (1-3) with rating: 0.1801897169035726
513: Tex. A&M-Commerce (1-2) with rating: 0.17865027928313726
514: Northeastern St. (1-2) with rating: 0.17814344878413263
515: Johnson C. Smith (1-3) with rating: 0.17785996935125742
516: Eastern Mich. (0-4) with rating: 0.17458830688166482
517: Central St. (OH) (1-3) with rating: 0.17414181028309825
518: Tenn.-Martin (1-3) with rating: 0.1720048662879528
519: Neb. Wesleyan (0-3) with rating: 0.17147525954453746
520: Davidson (1-3) with rating: 0.17021834147582748
521: Mesa St. (1-2) with rating: 0.17002411434645737
522: Illinois Col. (1-2) with rating: 0.16946118284437162
523: Greenville (1-3) with rating: 0.16850119223907425
524: St. Joseph's (IN) (1-3) with rating: 0.16849801754039273
525: Alma (1-2) with rating: 0.16481855404096807
526: Eastern Ill. (0-4) with rating: 0.16353955729290767
527: Neb.-Omaha (0-3) with rating: 0.16299360069965974
528: Widener (1-2) with rating: 0.1617636222664418
529: Loras (1-3) with rating: 0.1617313646289968
530: MIT (1-2) with rating: 0.16099483416684343
531: Monmouth (0-3) with rating: 0.16070339700242486
532: Holy Cross (1-3) with rating: 0.15774401062453347
533: St. Paul's (0-3) with rating: 0.1565052200780858
534: Minn. St. Moorhead (1-2) with rating: 0.15638767827057254
535: Towson (1-3) with rating: 0.15551803639740994
536: Colgate (1-2) with rating: 0.15518470595202663
537: Rice (1-3) with rating: 0.15508412155253093
538: Anderson (IN) (0-3) with rating: 0.15507875306734342
539: Clarion (0-3) with rating: 0.15502599768178843
540: Juniata (0-4) with rating: 0.15443042103071541
541: Cornell College (0-3) with rating: 0.1533338697734893
542: Adams St. (1-3) with rating: 0.15254982693408783
543: Nicholls St. (1-3) with rating: 0.1515875686265289
544: Akron (0-4) with rating: 0.15151015852105934
545: Bluffton (1-2) with rating: 0.1514852525347966
546: Cheyney (0-3) with rating: 0.15061506574603217
547: Benedict (0-4) with rating: 0.1502612382973758
548: Delaware St. (0-3) with rating: 0.1469393875211154
549: UNLV (1-3) with rating: 0.14632271669983138
550: Northwestern St. (1-3) with rating: 0.14509622864441968
551: Chris. Newport (0-3) with rating: 0.1450396548135141
552: Miles (1-3) with rating: 0.14389343768064
553: St. Lawrence (0-3) with rating: 0.14319591342016644
554: Lake Erie (0-3) with rating: 0.14297193328744595
555: N.C. A&T (0-4) with rating: 0.14206931191152944
556: Tarleton St. (0-3) with rating: 0.14201139181308337
557: Buffalo St. (0-3) with rating: 0.14023336860641256
558: Kalamazoo (0-3) with rating: 0.13637155108081128
559: Valparaiso (0-4) with rating: 0.13313751629749038
560: Pace (0-3) with rating: 0.12939929285667864
561: Upper Iowa (0-3) with rating: 0.12734078151026854
562: Mary (0-3) with rating: 0.12281708216273968
563: Stillman (0-3) with rating: 0.11673094589487944
564: N.M. Highlands (0-4) with rating: 0.11337436467761014
565: South Dakota St. (0-3) with rating: 0.11181913578648692
566: Becker (0-3) with rating: 0.11084692867050036
567: Chapman (0-2) with rating: 0.10876781665771276
568: Eastern Ky. (0-3) with rating: 0.10648072797995319
569: Howard (0-4) with rating: 0.10573002641515693
570: Dixie St. (0-4) with rating: 0.10566177718095629
571: Morrisville St. (0-3) with rating: 0.10526347932323081
572: Rockford (0-3) with rating: 0.10494616679272405
573: Western Conn. St. (0-3) with rating: 0.10240531691042404
574: Western Ky. (0-4) with rating: 0.10228246979760139
575: Presbyterian (0-4) with rating: 0.10111829730349906
576: East Central (0-3) with rating: 0.10084101599940015
577: West Virginia St. (0-3) with rating: 0.10043418354124216
578: Lane (0-4) with rating: 0.10029072859691081
579: Wis.-River Falls (0-4) with rating: 0.1

Monday, September 20, 2010

2010, After three weeks

Number of rounds required: 255

Comments: Here are the results from week 3. These results are somewhat more reasonable than last week's. My Michigan team is still up to high, likely, unless UMass turns out to be better than I would assume! :)

Latest report: 2010 Week 3

Top 25 Overall:

2010 Final
RankTeamRatingRecord
1Wis.-Stout0.8911479177868328(1-1)
2Texas A&M0.856210633783338(3-0)
3James Madison0.840191359145919(2-0)
4LSU0.7885731578610079(3-0)
5Rowan0.7838180083984231(1-0)
6Michigan0.7816162625316678(3-0)
7Grand Valley St.0.775468072008124(3-0)
8Stanford0.75961941851983(3-0)
9Yale0.755852202056944(1-0)
10Rensselaer0.751189488728555(1-0)
11South Carolina0.7485429090809799(3-0)
12Birmingham-So.0.7340168102708257(1-0)
13Oklahoma0.7033430897172916(3-0)
14Wm. Paterson0.7025288462420413(1-0)
15Alabama0.69432332699508(3-0)
16Arizona0.6897849135179441(3-0)
17Johns Hopkins0.6862289832810714(1-1)
18North Carolina St.0.68438791282012(3-0)
19Temple0.6793473018714536(3-0)
20Jackson St.0.6686503208667833(2-1)
21Montclair St.0.6675474436442245(1-0)
22Southern California0.6646550421800635(3-0)
23Oklahoma St.0.6626679438644064(3-0)
24Randolph-Macon0.6617601706995606(3-0)
25Dayton0.6607527308912453(2-1)



Top 25 in Division 1 (FBS):

2010 Final
RankTeamRatingRecord
1Texas A&M0.856210633783338(3-0)
2LSU0.7885731578610079(3-0)
3Michigan0.7816162625316678(3-0)
4Stanford0.75961941851983(3-0)
5South Carolina0.7485429090809799(3-0)
6Oklahoma0.7033430897172916(3-0)
7Alabama0.69432332699508(3-0)
8Arizona0.6897849135179441(3-0)
9North Carolina St.0.68438791282012(3-0)
10Temple0.6793473018714536(3-0)
11Southern California0.6646550421800635(3-0)
12Oklahoma St.0.6626679438644064(3-0)
13Ohio St.0.6594186533721502(3-0)
14Boise St.0.6521787782866023(2-0)
15Missouri0.6521497644539096(3-0)
16Notre Dame0.6385119679427613(1-2)
17Navy0.6378477518885382(2-1)
18Rutgers0.6275518606076855(2-0)
19Kansas St.0.6193146451143626(3-0)
20Michigan St.0.6146084762760805(3-0)
21Nevada0.6079838477578374(3-0)
22Virginia Tech0.5999429775904649(1-2)
23Northwestern0.5741885426919037(3-0)
24Florida0.5694421489475429(3-0)
25Fresno St.0.5690279683335304(2-0)



Top 25 in Division 1 (FCS):

2010 Final
RankTeamRatingRecord
1James Madison0.840191359145919(2-0)
2Yale0.755852202056944(1-0)
3Jackson St.0.6686503208667833(2-1)
4Dayton0.6607527308912453(2-1)
5Appalachian St.0.6203627212266373(3-0)
6Grambling0.6183600807808243(1-1)
7Delaware0.6060113374439757(3-0)
8UNI0.5953899150655224(1-1)
9Penn0.5789551957687123(1-0)
10Jacksonville St.0.5542006502679132(3-0)
11Massachusetts0.5064776955608825(2-1)
12Robert Morris0.5052082471558091(2-1)
13Liberty0.5034593476003837(2-1)
14Stephen F. Austin0.47810503282556116(2-1)
15Georgetown0.4713421983581978(2-1)
16Duquesne0.46774760623573963(2-1)
17William & Mary0.45101500048951393(2-1)
18Charleston So.0.4442333560829965(2-1)
19Dartmouth0.43857030457884383(1-0)
20Central Ark.0.43715215145759845(3-0)
21Youngstown St.0.4318398078015727(2-1)
22Chattanooga0.4263689975107101(1-2)
23Cal Poly0.4248798749012108(2-1)
24Wofford0.42198339957990083(2-1)
25North Dakota St.0.42127374708250376(2-1)



Top 25 in Division 2:

2010 Final
RankTeamRatingRecord
1Grand Valley St.0.775468072008124(3-0)
2Hillsdale0.6500442757671425(1-1)
3Tusculum0.6177368087393428(3-0)
4Wingate0.5835620229907519(1-1)
5Minn. St. Mankato0.5655272611606789(2-0)
6Valdosta St.0.5611131286033595(2-1)
7Arkansas Tech0.5544504826449878(1-1)
8Stonehill0.5503777234145938(2-0)
9Delta St.0.5487923619222178(2-1)
10Pittsburg St.0.5480632854249228(2-0)
11Augustana (SD)0.5471234209722668(2-0)
12Abilene Christian0.5443775020212598(2-0)
13North Ala.0.5361502361467307(2-0)
14Albany St. (GA)0.5181058105138823(3-0)
15West Ga.0.5179672917662851(2-1)
16West Ala.0.5027125487845084(2-0)
17Northern Mich.0.49511749545889827(1-1)
18Wayne St. (NE)0.48720607623298395(2-0)
19Assumption0.4765329076260183(2-0)
20West Va. Wesleyan0.47632955541739397(2-0)
21California (PA)0.4680697240586734(2-0)
22Indianapolis0.467923496127744(2-1)
23Central Mo.0.46745573294807097(2-1)
24Wayne St. (MI)0.4624913517351553(2-0)
25Shepherd0.4620937669341185(3-0)



Top 25 in Division 3:

2010 Final
RankTeamRatingRecord
1Wis.-Stout0.8911479177868328(1-1)
2Rowan0.7838180083984231(1-0)
3Rensselaer0.751189488728555(1-0)
4Birmingham-So.0.7340168102708257(1-0)
5Wm. Paterson0.7025288462420413(1-0)
6Johns Hopkins0.6862289832810714(1-1)
7Montclair St.0.6675474436442245(1-0)
8Randolph-Macon0.6617601706995606(3-0)
9Mount Ida0.6446409002666628(1-1)
10Norwich0.6013178642127343(3-0)
11Ursinus0.5987221162368754(3-0)
12Cal Lutheran0.585292750327432(1-0)
13Wis.-Eau Claire0.5823782561775906(2-0)
14Bridgewater St.0.5717612525987973(2-1)
15Allegheny0.5707964081951635(2-0)
16Wartburg0.5614576154454498(2-0)
17Mississippi Col.0.5568038253318661(2-0)
18Plymouth St.0.5558460738164233(2-1)
19Hampden-Sydney0.5499458389606067(2-0)
20Central (IA)0.54184203919071(3-0)
21Endicott0.5389678086381278(2-1)
22Hobart0.5365698906279757(2-0)
23Frank. & Marsh.0.5303280466094275(1-1)
24Minn.-Morris0.5241371924590548(2-0)
25Elmhurst0.5232863304581536(3-0)



Overall rankings:

2010 Results
Using function fitting score differences to a sinusoidal wave
1: Wis.-Stout (1-1) with rating: 0.8911479177868328
2: Texas A&M (3-0) with rating: 0.856210633783338
3: James Madison (2-0) with rating: 0.840191359145919
4: LSU (3-0) with rating: 0.7885731578610079
5: Rowan (1-0) with rating: 0.7838180083984231
6: Michigan (3-0) with rating: 0.7816162625316678
7: Grand Valley St. (3-0) with rating: 0.775468072008124
8: Stanford (3-0) with rating: 0.75961941851983
9: Yale (1-0) with rating: 0.755852202056944
10: Rensselaer (1-0) with rating: 0.751189488728555
11: South Carolina (3-0) with rating: 0.7485429090809799
12: Birmingham-So. (1-0) with rating: 0.7340168102708257
13: Oklahoma (3-0) with rating: 0.7033430897172916
14: Wm. Paterson (1-0) with rating: 0.7025288462420413
15: Alabama (3-0) with rating: 0.69432332699508
16: Arizona (3-0) with rating: 0.6897849135179441
17: Johns Hopkins (1-1) with rating: 0.6862289832810714
18: North Carolina St. (3-0) with rating: 0.68438791282012
19: Temple (3-0) with rating: 0.6793473018714536
20: Jackson St. (2-1) with rating: 0.6686503208667833
21: Montclair St. (1-0) with rating: 0.6675474436442245
22: Southern California (3-0) with rating: 0.6646550421800635
23: Oklahoma St. (3-0) with rating: 0.6626679438644064
24: Randolph-Macon (3-0) with rating: 0.6617601706995606
25: Dayton (2-1) with rating: 0.6607527308912453
26: Ohio St. (3-0) with rating: 0.6594186533721502
27: Boise St. (2-0) with rating: 0.6521787782866023
28: Missouri (3-0) with rating: 0.6521497644539096
29: Hillsdale (1-1) with rating: 0.6500442757671425
30: Mount Ida (1-1) with rating: 0.6446409002666628
31: Notre Dame (1-2) with rating: 0.6385119679427613
32: Navy (2-1) with rating: 0.6378477518885382
33: Rutgers (2-0) with rating: 0.6275518606076855
34: Appalachian St. (3-0) with rating: 0.6203627212266373
35: Kansas St. (3-0) with rating: 0.6193146451143626
36: Grambling (1-1) with rating: 0.6183600807808243
37: Tusculum (3-0) with rating: 0.6177368087393428
38: Michigan St. (3-0) with rating: 0.6146084762760805
39: Nevada (3-0) with rating: 0.6079838477578374
40: Delaware (3-0) with rating: 0.6060113374439757
41: Norwich (3-0) with rating: 0.6013178642127343
42: Virginia Tech (1-2) with rating: 0.5999429775904649
43: Ursinus (3-0) with rating: 0.5987221162368754
44: UNI (1-1) with rating: 0.5953899150655224
45: Cal Lutheran (1-0) with rating: 0.585292750327432
46: Wingate (1-1) with rating: 0.5835620229907519
47: Wis.-Eau Claire (2-0) with rating: 0.5823782561775906
48: Penn (1-0) with rating: 0.5789551957687123
49: Northwestern (3-0) with rating: 0.5741885426919037
50: Bridgewater St. (2-1) with rating: 0.5717612525987973
51: Allegheny (2-0) with rating: 0.5707964081951635
52: Florida (3-0) with rating: 0.5694421489475429
53: Fresno St. (2-0) with rating: 0.5690279683335304
54: Boston College (2-0) with rating: 0.5674935780248206
55: Minn. St. Mankato (2-0) with rating: 0.5655272611606789
56: Texas (3-0) with rating: 0.5632042641363597
57: Wartburg (2-0) with rating: 0.5614576154454498
58: Valdosta St. (2-1) with rating: 0.5611131286033595
59: Nebraska (3-0) with rating: 0.5603384273005824
60: Virginia (1-1) with rating: 0.5588742076436362
61: Mississippi Col. (2-0) with rating: 0.5568038253318661
62: Plymouth St. (2-1) with rating: 0.5558460738164233
63: Arkansas Tech (1-1) with rating: 0.5544504826449878
64: Jacksonville St. (3-0) with rating: 0.5542006502679132
65: West Virginia (3-0) with rating: 0.553082096428914
66: Stonehill (2-0) with rating: 0.5503777234145938
67: Hampden-Sydney (2-0) with rating: 0.5499458389606067
68: Delta St. (2-1) with rating: 0.5487923619222178
69: Pittsburg St. (2-0) with rating: 0.5480632854249228
70: Augustana (SD) (2-0) with rating: 0.5471234209722668
71: Abilene Christian (2-0) with rating: 0.5443775020212598
72: Central (IA) (3-0) with rating: 0.54184203919071
73: Arizona St. (2-1) with rating: 0.5409913452044776
74: Endicott (2-1) with rating: 0.5389678086381278
75: Hobart (2-0) with rating: 0.5365698906279757
76: North Ala. (2-0) with rating: 0.5361502361467307
77: Frank. & Marsh. (1-1) with rating: 0.5303280466094275
78: TCU (3-0) with rating: 0.5293671323623667
79: Minn.-Morris (2-0) with rating: 0.5241371924590548
80: Elmhurst (3-0) with rating: 0.5232863304581536
81: Wilkes (1-0) with rating: 0.5225866591682667
82: Albany St. (GA) (3-0) with rating: 0.5181058105138823
83: West Ga. (2-1) with rating: 0.5179672917662851
84: DePauw (1-0) with rating: 0.516099800411697
85: Gettysburg (1-1) with rating: 0.5142323392312849
86: Vanderbilt (1-2) with rating: 0.5118784953089964
87: Salisbury (2-0) with rating: 0.5101637448604521
88: Trinity (TX) (1-0) with rating: 0.509938000605774
89: Massachusetts (2-1) with rating: 0.5064776955608825
90: Air Force (2-1) with rating: 0.5061305737332003
91: Robert Morris (2-1) with rating: 0.5052082471558091
92: UCF (2-1) with rating: 0.5049868467734556
93: Liberty (2-1) with rating: 0.5034593476003837
94: West Ala. (2-0) with rating: 0.5027125487845084
95: FDU-Florham (2-0) with rating: 0.5026610484147157
96: Penn St. (2-1) with rating: 0.502656872739472
97: Muskingum (1-0) with rating: 0.5013960320298076
98: Southern Miss. (2-1) with rating: 0.5008453013923205
99: Auburn (3-0) with rating: 0.4977955020879812
100: Redlands (2-0) with rating: 0.49612131831119577
101: Northern Mich. (1-1) with rating: 0.49511749545889827
102: Central Mich. (2-1) with rating: 0.494519555907589
103: Houston (2-1) with rating: 0.4919554684080564
104: Carroll (WI) (3-0) with rating: 0.4884833613700058
105: Mt. St. Joseph (1-0) with rating: 0.4878355852061108
106: Wayne St. (NE) (2-0) with rating: 0.48720607623298395
107: Georgia Tech (2-1) with rating: 0.4860562801184496
108: Bridgewater (VA) (2-0) with rating: 0.47860345786898184
109: Stephen F. Austin (2-1) with rating: 0.47810503282556116
110: Gallaudet (0-1) with rating: 0.47776364980967956
111: Assumption (2-0) with rating: 0.4765329076260183
112: West Va. Wesleyan (2-0) with rating: 0.47632955541739397
113: Purdue (2-1) with rating: 0.47567039691012614
114: Louisiana Tech (1-2) with rating: 0.47441391936097177
115: Baldwin-Wallace (3-0) with rating: 0.47425344012911863
116: Emory & Henry (2-0) with rating: 0.4741882424192152
117: Delaware Valley (2-0) with rating: 0.4740434411347958
118: Maryland (2-1) with rating: 0.4718531486866788
119: Utica (2-0) with rating: 0.4713591685909784
120: Georgetown (2-1) with rating: 0.4713421983581978
121: Pittsburgh (1-1) with rating: 0.4697396552414296
122: Grinnell (2-0) with rating: 0.4692076898249884
123: SMU (2-1) with rating: 0.46899063224695126
124: Merchant Marine (1-1) with rating: 0.46836887522131765
125: California (PA) (2-0) with rating: 0.4680697240586734
126: Indianapolis (2-1) with rating: 0.467923496127744
127: Duquesne (2-1) with rating: 0.46774760623573963
128: Central Mo. (2-1) with rating: 0.46745573294807097
129: Wheaton (IL) (1-0) with rating: 0.46455878063884304
130: Wayne St. (MI) (2-0) with rating: 0.4624913517351553
131: Shepherd (3-0) with rating: 0.4620937669341185
132: Wisconsin (3-0) with rating: 0.46008458264720375
133: Framingham St. (2-1) with rating: 0.46003348485932205
134: Mississippi (1-2) with rating: 0.45702459226139824
135: Westminster (MO) (1-1) with rating: 0.45209615580982954
136: William & Mary (2-1) with rating: 0.45101500048951393
137: Troy (1-2) with rating: 0.4501912193679285
138: Mount Union (1-0) with rating: 0.4499364492496609
139: Austin (2-0) with rating: 0.44721264669463046
140: Ill. Wesleyan (3-0) with rating: 0.44577012969654917
141: Grove City (2-1) with rating: 0.44514613396351277
142: Charleston So. (2-1) with rating: 0.4442333560829965
143: New Haven (2-0) with rating: 0.44251056372775754
144: Maine Maritime (2-0) with rating: 0.4419330406646166
145: Curry (2-1) with rating: 0.44127938718730475
146: Lycoming (1-1) with rating: 0.4410400681716661
147: Thomas More (2-0) with rating: 0.43860112472180823
148: Dartmouth (1-0) with rating: 0.43857030457884383
149: Florida St. (2-1) with rating: 0.43823389097981347
150: Western New Eng. (2-1) with rating: 0.43725655492279036
151: Central Ark. (3-0) with rating: 0.43715215145759845
152: UNC Pembroke (2-0) with rating: 0.43710276264320624
153: Augustana (IL) (2-1) with rating: 0.4357142693486741
154: Indiana (PA) (2-0) with rating: 0.4353000707248935
155: Edinboro (2-0) with rating: 0.4345097181845601
156: Rhodes (1-1) with rating: 0.4344894085685064
157: Pacific Lutheran (1-0) with rating: 0.4340866856549688
158: Carthage (2-0) with rating: 0.4338271131187714
159: Youngstown St. (2-1) with rating: 0.4318398078015727
160: Wis.-Whitewater (2-0) with rating: 0.4313527141138679
161: Hardin-Simmons (2-0) with rating: 0.431009833943755
162: Texas Tech (2-1) with rating: 0.4304298163921455
163: Midwestern St. (2-0) with rating: 0.4302706695780033
164: Wis.-Platteville (2-0) with rating: 0.42931746982205077
165: Colorado St.-Pueblo (2-0) with rating: 0.42880024215192303
166: West Tex. A&M (1-1) with rating: 0.42667083625323365
167: UCLA (1-2) with rating: 0.4266151543489546
168: Chattanooga (1-2) with rating: 0.4263689975107101
169: Cal Poly (2-1) with rating: 0.4248798749012108
170: Angelo St. (2-0) with rating: 0.42199236963320674
171: Wofford (2-1) with rating: 0.42198339957990083
172: North Dakota St. (2-1) with rating: 0.42127374708250376
173: Ripon (2-0) with rating: 0.41985801169319326
174: Trine (3-0) with rating: 0.41818147052062604
175: Minn. Duluth (2-0) with rating: 0.4155358793683618
176: Montana St. (2-1) with rating: 0.4150541380274484
177: Humboldt St. (2-1) with rating: 0.4148087956622337
178: Iowa (2-1) with rating: 0.4139233893522578
179: Urbana (1-1) with rating: 0.413320858885069
180: Chicago (2-1) with rating: 0.4131226018862171
181: East Carolina (2-1) with rating: 0.41069632032327563
182: Utah (3-0) with rating: 0.41028130473526403
183: Concord (2-0) with rating: 0.41003126788032385
184: Villanova (2-1) with rating: 0.4076137238401508
185: Millikin (2-0) with rating: 0.4066692566303446
186: Brown (1-0) with rating: 0.4025308266888378
187: Ark.-Monticello (1-1) with rating: 0.40231534346160425
188: North Park (1-1) with rating: 0.4004274006617867
189: McDaniel (2-0) with rating: 0.3999273925059801
190: Harvard (1-0) with rating: 0.39986083674309225
191: Bryant (3-0) with rating: 0.39983996654002096
192: Southwest Minn. St. (2-0) with rating: 0.3997609816219678
193: Michigan Tech (1-0) with rating: 0.3994518591882157
194: Toledo (2-1) with rating: 0.39940398397990184
195: Oberlin (1-0) with rating: 0.3993309310670504
196: WPI (2-1) with rating: 0.39875206377275996
197: Texas St. (2-1) with rating: 0.3980960571541362
198: Oregon (3-0) with rating: 0.3970398860523714
199: Morehouse (3-0) with rating: 0.39563036369186744
200: Charleston (WV) (1-1) with rating: 0.39214646866071434
201: Alfred (1-0) with rating: 0.39163573946607233
202: Wesley (2-0) with rating: 0.39105159987356175
203: Ohio (1-2) with rating: 0.39092505029697244
204: Winona St. (2-0) with rating: 0.39036437472328367
205: Tulsa (1-2) with rating: 0.3901037438396441
206: Ball St. (1-2) with rating: 0.3897490583026547
207: North Central (IL) (1-0) with rating: 0.3860949333509719
208: Kentucky (3-0) with rating: 0.3859993733077889
209: Jacksonville (2-1) with rating: 0.38584192488203284
210: Ashland (1-1) with rating: 0.38549029300256865
211: Case (2-0) with rating: 0.3847598333608896
212: California (2-1) with rating: 0.3844402575330679
213: Illinois (2-1) with rating: 0.384405530928458
214: West Liberty St. (1-1) with rating: 0.38383158786500227
215: N.C. Wesleyan (0-2) with rating: 0.38139768599259216
216: Lebanon Valley (1-2) with rating: 0.38122445258293414
217: Kansas (1-2) with rating: 0.3811695647254719
218: Carnegie Mellon (1-2) with rating: 0.3806754928626196
219: Gannon (2-0) with rating: 0.37929521424760193
220: Truman (2-0) with rating: 0.37922133489424026
221: LaGrange (1-1) with rating: 0.3780044678468385
222: St. Olaf (2-0) with rating: 0.3777037653213986
223: Saginaw Valley (0-2) with rating: 0.37769739384936374
224: Capital (1-1) with rating: 0.3732192201912371
225: Northern Colo. (2-1) with rating: 0.3730509560909032
226: TCNJ (0-2) with rating: 0.37231404186606
227: Arkansas (3-0) with rating: 0.37182058144730934
228: Cortland St. (2-0) with rating: 0.3715434998878301
229: Syracuse (2-1) with rating: 0.37103348350707444
230: Alcorn St. (2-0) with rating: 0.36946155715677853
231: St. John's (MN) (1-1) with rating: 0.3679455626034357
232: SUNY Maritime (2-0) with rating: 0.36781705734048864
233: Mississippi St. (1-2) with rating: 0.3672442081171724
234: Marist (1-1) with rating: 0.36612901251651797
235: Kutztown (2-0) with rating: 0.3641389274465112
236: Lenoir-Rhyne (3-1) with rating: 0.3628606739847031
237: Sacramento St. (2-1) with rating: 0.36143775860859195
238: Butler (2-1) with rating: 0.3608961017291663
239: Coast Guard (1-1) with rating: 0.3600256169672109
240: Ithaca (3-0) with rating: 0.3594011647673665
241: Denison (3-0) with rating: 0.3582710274381282
242: Ouachita Baptist (2-0) with rating: 0.3578613586636362
243: Washington (1-2) with rating: 0.35600298117939866
244: Morehead St. (1-2) with rating: 0.35540516257300947
245: Eastern Wash. (2-1) with rating: 0.3545160870147165
246: St. Thomas (MN) (2-0) with rating: 0.35333913648200477
247: San Diego St. (2-1) with rating: 0.35332648716033277
248: Tennessee St. (1-2) with rating: 0.35123805889303183
249: Lamar (2-1) with rating: 0.3501283039879959
250: Waynesburg (1-1) with rating: 0.3497608754347834
251: Washburn (1-1) with rating: 0.34960155643698565
252: Alabama St. (3-0) with rating: 0.3493533257088768
253: Linfield (0-1) with rating: 0.3487660040924383
254: Aurora (2-1) with rating: 0.34828137468873543
255: Texas Lutheran (1-1) with rating: 0.34775790023040093
256: FIU (0-2) with rating: 0.34724740617256733
257: Clemson (2-1) with rating: 0.34697171697317264
258: Minnesota (1-2) with rating: 0.3468393451268512
259: Ferris St. (1-1) with rating: 0.3459403189173731
260: Lafayette (0-2) with rating: 0.3442113850966446
261: Springfield (2-0) with rating: 0.3436772114600217
262: Tulane (1-1) with rating: 0.343565955116799
263: Salve Regina (1-2) with rating: 0.3433109081754361
264: Old Dominion (1-2) with rating: 0.34246698812155235
265: Mary Hardin-Baylor (1-0) with rating: 0.3411524765398486
266: Catholic (2-0) with rating: 0.34052608454158106
267: Huntingdon (2-0) with rating: 0.3398193313218529
268: Winston-Salem (4-0) with rating: 0.3385590637292616
269: Middle Tenn. (1-2) with rating: 0.3379746531402398
270: Sacred Heart (1-2) with rating: 0.3340420812031578
271: Elizabeth City St. (2-1) with rating: 0.3307306361753616
272: Northern Ariz. (1-1) with rating: 0.3305275587167409
273: Southeastern La. (1-2) with rating: 0.3303659010642741
274: Carson-Newman (1-1) with rating: 0.3303054116807421
275: Concordia Chicago (2-1) with rating: 0.32982577054286855
276: South Fla. (1-1) with rating: 0.3274190696831652
277: Indiana (2-0) with rating: 0.32713937168406965
278: Albright (1-1) with rating: 0.3253172434781396
279: Miami (FL) (1-1) with rating: 0.3249101964404415
280: Illinois St. (2-1) with rating: 0.32328501951665634
281: Baylor (2-1) with rating: 0.3230589842098265
282: Franklin (1-1) with rating: 0.32276603571023155
283: UAB (1-2) with rating: 0.32272450851590107
284: Southeast Mo. St. (2-1) with rating: 0.3226777784193798
285: Bowling Green (1-2) with rating: 0.3204719716882747
286: North Carolina (0-2) with rating: 0.3179377648155596
287: Fairmont St. (2-1) with rating: 0.3178595626191968
288: Monmouth (IL) (1-2) with rating: 0.31725331874918283
289: Moravian (1-2) with rating: 0.3153919770868505
290: Ga. Southern (2-1) with rating: 0.31519622929800595
291: Norfolk St. (2-1) with rating: 0.31485206928072573
292: East Stroudsburg (1-1) with rating: 0.3147776397273711
293: Mars Hill (2-2) with rating: 0.31391734543228733
294: St. Francis (PA) (1-2) with rating: 0.31291635403683427
295: Iowa St. (1-2) with rating: 0.312634255642139
296: South Ala. (2-0) with rating: 0.31251821783715616
297: Westfield St. (1-2) with rating: 0.3124426959497769
298: Muhlenberg (1-1) with rating: 0.31183214710679547
299: Tex. A&M-Kingsville (2-0) with rating: 0.3115847795510044
300: McNeese St. (1-1) with rating: 0.31151529609853007
301: Worcester St. (2-1) with rating: 0.3114226844980799
302: St. Cloud St. (1-1) with rating: 0.31139764240027057
303: Oregon St. (1-1) with rating: 0.30980110823637425
304: St. Vincent (0-2) with rating: 0.3085326104324497
305: Millsaps (0-2) with rating: 0.3077778261352701
306: Wabash (2-0) with rating: 0.30739955004425235
307: Army (2-1) with rating: 0.30579269542606735
308: Gardner-Webb (2-1) with rating: 0.3046770250518876
309: Idaho (2-1) with rating: 0.3042649799528646
310: Washington-St. Louis (1-1) with rating: 0.30252513423957383
311: Austin Peay (2-1) with rating: 0.30200663571083197
312: Wake Forest (2-1) with rating: 0.3013358512654095
313: Concordia-M'head (1-1) with rating: 0.3011173341345995
314: South Dakota (2-1) with rating: 0.30023510370554696
315: Rochester (NY) (0-1) with rating: 0.29783228044471366
316: Texas Southern (1-2) with rating: 0.2972303140430088
317: McMurry (2-0) with rating: 0.29696170267329847
318: Colorado (2-1) with rating: 0.2964345456154204
319: Castleton St. (0-2) with rating: 0.2962524335321729
320: Fordham (2-1) with rating: 0.2951981118849756
321: Millersville (1-1) with rating: 0.29209424022430747
322: Georgia (1-2) with rating: 0.2916313621705925
323: Mass. Maritime (1-2) with rating: 0.2903066333743507
324: Henderson St. (1-1) with rating: 0.28938919600820523
325: Nichols (0-3) with rating: 0.2868231631649363
326: Furman (1-1) with rating: 0.28680147739577844
327: Western Caro. (1-2) with rating: 0.2844804065373552
328: Duke (1-2) with rating: 0.2843681201943944
329: Slippery Rock (2-0) with rating: 0.283630274748773
330: Samford (2-1) with rating: 0.28362914738330813
331: East Tex. Baptist (1-2) with rating: 0.28354685437688887
332: Richmond (1-1) with rating: 0.28266646202450285
333: Fort Hays St. (2-0) with rating: 0.28245655932431896
334: Weber St. (1-2) with rating: 0.2822916918781101
335: Wittenberg (2-0) with rating: 0.2816484913878279
336: Colorado Mines (2-1) with rating: 0.28124108651239177
337: Prairie View (1-2) with rating: 0.2808430371901133
338: Connecticut (1-2) with rating: 0.27997146046880844
339: St. Scholastica (2-1) with rating: 0.27956677006281466
340: Hartwick (2-1) with rating: 0.27860259033792734
341: Rhode Island (1-2) with rating: 0.2781049396164744
342: Howard Payne (1-1) with rating: 0.27801409455124837
343: Northern St. (0-2) with rating: 0.27799294810687275
344: Montana (1-2) with rating: 0.2770085669056913
345: Mass.-Dartmouth (1-2) with rating: 0.27647771038689806
346: Neb.-Kearney (1-1) with rating: 0.2759057937766353
347: BYU (1-2) with rating: 0.2749781194246562
348: Lakeland (0-2) with rating: 0.2749519687454723
349: Memphis (1-2) with rating: 0.2746728327561316
350: Wash. & Lee (1-1) with rating: 0.2733146817525973
351: Susquehanna (1-2) with rating: 0.2732495004621085
352: Defiance (1-2) with rating: 0.2722210535162057
353: Catawba (1-1) with rating: 0.2710349690280244
354: New Hampshire (1-2) with rating: 0.26970656997855
355: Tuskegee (2-1) with rating: 0.26872299244941655
356: Buffalo (1-2) with rating: 0.26839114242945106
357: Centre (1-1) with rating: 0.2674627095954666
358: Maine (1-2) with rating: 0.2657104359322101
359: Hiram (1-2) with rating: 0.2654143154541667
360: Okla. Panhandle (2-1) with rating: 0.26534450733611203
361: Wis. Lutheran (1-1) with rating: 0.2653094417086573
362: Adrian (1-2) with rating: 0.26482847898407874
363: Fla. Atlantic (1-1) with rating: 0.26472008635294136
364: St. Augustine's (1-1) with rating: 0.26373438272212335
365: Chadron St. (2-1) with rating: 0.2626054098861582
366: Averett (1-1) with rating: 0.2622694533235047
367: Ferrum (0-1) with rating: 0.2621546193354557
368: Shippensburg (0-2) with rating: 0.26113867774026644
369: Westminster (PA) (1-2) with rating: 0.2607070333166073
370: Albany (NY) (1-1) with rating: 0.2605177898859553
371: Northern Ill. (1-2) with rating: 0.2604777418998435
372: Fort Valley St. (2-1) with rating: 0.25989850762303607
373: Harding (1-1) with rating: 0.2597185718825977
374: Utah St. (1-2) with rating: 0.25957923378970627
375: Beloit (1-2) with rating: 0.2595344467160141
376: Southern U. (1-1) with rating: 0.25923698459105493
377: Lehigh (2-1) with rating: 0.2584619706451995
378: Cincinnati (1-2) with rating: 0.2568334980200353
379: North Greenville (1-3) with rating: 0.25540464004531666
380: Sul Ross St. (0-1) with rating: 0.2543891328689609
381: Western N.M. (1-2) with rating: 0.25381720151427517
382: Campbell (1-2) with rating: 0.2536756198223459
383: West Chester (0-2) with rating: 0.25341223695548043
384: Fort Lewis (1-1) with rating: 0.25333299228226036
385: South Carolina St. (2-1) with rating: 0.2518649427006611
386: Miami (OH) (2-1) with rating: 0.250812570432163
387: Stony Brook (1-2) with rating: 0.25039466933707294
388: Hampton (2-1) with rating: 0.24942869713800267
389: UTEP (2-1) with rating: 0.24923461773357747
390: Elon (1-2) with rating: 0.247763568976663
391: Kenyon (0-2) with rating: 0.24774622251629694
392: Central Wash. (2-2) with rating: 0.2474137076037474
393: Manchester (2-1) with rating: 0.24659528341046863
394: Eastern N.M. (1-2) with rating: 0.24611112131694238
395: Central Okla. (1-1) with rating: 0.24496624310422963
396: Hope (0-3) with rating: 0.24238635798077607
397: Southwest Baptist (1-2) with rating: 0.24222506289982326
398: Luther (1-1) with rating: 0.24106225651890606
399: La.-Lafayette (1-1) with rating: 0.24103239313109828
400: Indiana St. (1-1) with rating: 0.23981422640567002
401: Washington St. (1-2) with rating: 0.2397256717128077
402: Dubuque (1-2) with rating: 0.23957782419100945
403: Florida A&M (2-1) with rating: 0.23936582949354288
404: North Dakota (1-2) with rating: 0.23735206671782952
405: Brevard (2-1) with rating: 0.23689241442864714
406: N.C. Central (1-2) with rating: 0.23650505195576804
407: Western Ill. (2-1) with rating: 0.2353602711796136
408: Kent St. (1-2) with rating: 0.23316467915524425
409: Kentucky St. (2-1) with rating: 0.2305731612305631
410: Lawrence (1-2) with rating: 0.23028665020604364
411: Rose-Hulman (1-1) with rating: 0.229068679421789
412: Neb. Wesleyan (0-2) with rating: 0.22629958302946288
413: Southern Ill. (1-2) with rating: 0.22597445927924914
414: Hawaii (1-2) with rating: 0.22441978039226984
415: Methodist (1-1) with rating: 0.2243010037651087
416: Macalester (1-1) with rating: 0.22365799181185536
417: Louisville (1-2) with rating: 0.22309936825696008
418: Georgia St. (1-2) with rating: 0.22301103672812592
419: Citadel (2-1) with rating: 0.22134449310757043
420: Virginia St. (2-1) with rating: 0.221290027731976
421: Emporia St. (2-1) with rating: 0.2210989942585519
422: Willamette (1-1) with rating: 0.2208250278130041
423: Murray St. (0-3) with rating: 0.21814283762274908
424: Newberry (1-2) with rating: 0.21805710215581292
425: Alabama A&M (1-2) with rating: 0.21655923374898917
426: Bloomsburg (1-1) with rating: 0.21551756918858447
427: Hamline (0-1) with rating: 0.21547489654683483
428: Bemidji St. (1-1) with rating: 0.21542955643167158
429: Wilmington (OH) (0-2) with rating: 0.21350883910071425
430: Marshall (0-3) with rating: 0.21214089610366627
431: Shenandoah (0-3) with rating: 0.21148287312431324
432: Monmouth (0-2) with rating: 0.2092684234567464
433: Wyoming (1-2) with rating: 0.20891827665073093
434: Southeastern Okla. (1-1) with rating: 0.20852272932325294
435: Fayetteville St. (1-2) with rating: 0.2078033097018398
436: Albion (1-2) with rating: 0.2064883565783951
437: Colgate (1-1) with rating: 0.20567357974578437
438: Tiffin (1-2) with rating: 0.20548110704785671
439: Louisiana Col. (0-2) with rating: 0.20209267626922
440: Southern Utah (1-2) with rating: 0.20190802846622266
441: Kean (1-1) with rating: 0.2015029338418824
442: Benedictine (IL) (1-1) with rating: 0.2010286458656888
443: Loras (1-1) with rating: 0.20005167702728377
444: Davidson (1-2) with rating: 0.19953000068331656
445: Greensboro (1-1) with rating: 0.19918890181481574
446: Ky. Wesleyan (1-1) with rating: 0.19878446136111727
447: Tennessee (1-2) with rating: 0.19707149402179713
448: Missouri St. (1-1) with rating: 0.1968993316758374
449: Northwood (MI) (1-1) with rating: 0.19609006461241552
450: Adams St. (1-1) with rating: 0.1958771271471731
451: C.W. Post (1-1) with rating: 0.19526187747550142
452: San Jose St. (1-2) with rating: 0.19452457423458652
453: Portland St. (1-2) with rating: 0.19350216907267648
454: Bethany (WV) (1-1) with rating: 0.19343297523318737
455: Wis.-Oshkosh (0-2) with rating: 0.19264484201111892
456: Lincoln (PA) (1-1) with rating: 0.19164260859959925
457: Central St. (OH) (1-1) with rating: 0.19139814207079447
458: Clark Atlanta (1-1) with rating: 0.1912228932762815
459: MIT (1-1) with rating: 0.19113188742243092
460: Western Ore. (1-1) with rating: 0.19082424569391393
461: Hanover (1-2) with rating: 0.1900398365715913
462: Morgan St. (1-2) with rating: 0.189873107523286
463: Central Conn. St. (1-2) with rating: 0.18715107212775473
464: Bucknell (0-3) with rating: 0.18638762259576477
465: Seton Hill (1-2) with rating: 0.18547097061145343
466: Delaware St. (0-2) with rating: 0.18445784750077276
467: Findlay (1-2) with rating: 0.18393111344825291
468: Neb.-Omaha (0-2) with rating: 0.18391246929003222
469: Arkansas St. (1-2) with rating: 0.18192248673483813
470: Akron (0-3) with rating: 0.1819125772340375
471: Juniata (0-3) with rating: 0.18108781040209906
472: Wooster (0-2) with rating: 0.17902793992518
473: St. Norbert (0-2) with rating: 0.17893337791736974
474: Bluffton (1-1) with rating: 0.1788945812556168
475: Guilford (0-3) with rating: 0.17866314449818632
476: Columbia (0-1) with rating: 0.17852802805804835
477: Frostburg St. (1-2) with rating: 0.17845186935502813
478: Northeastern St. (1-2) with rating: 0.1778063585989193
479: Johnson C. Smith (1-3) with rating: 0.17586291481054794
480: Eastern Mich. (0-3) with rating: 0.17465011822134274
481: Bowie St. (1-3) with rating: 0.1738955730123511
482: UC Davis (1-2) with rating: 0.1733303096166168
483: Wis.-La Crosse (0-2) with rating: 0.17330937988060074
484: Union (NY) (0-1) with rating: 0.17121530859271705
485: King's (PA) (0-2) with rating: 0.16829533193288154
486: Holy Cross (1-2) with rating: 0.1650775266296471
487: Lake Erie (0-2) with rating: 0.16485237884462955
488: St. Paul's (0-2) with rating: 0.16335613133472515
489: Miles (1-2) with rating: 0.16283518147169285
490: Western Mich. (1-2) with rating: 0.16130980760368058
491: Widener (1-2) with rating: 0.16054949712927596
492: Tenn.-Martin (1-2) with rating: 0.16031758911976676
493: Northwestern St. (1-2) with rating: 0.16024153155593468
494: Cornell College (0-2) with rating: 0.1574992069381666
495: Pace (0-2) with rating: 0.1545286482876284
496: St. Joseph's (IN) (1-3) with rating: 0.1539393202084578
497: Mary (0-2) with rating: 0.15317181973297125
498: Benedict (0-4) with rating: 0.15081123692311216
499: Towson (1-2) with rating: 0.1500867141242777
500: Rice (1-2) with rating: 0.14696589221270154
501: Ark.-Pine Bluff (0-2) with rating: 0.14646714639917627
502: N.C. A&T (0-3) with rating: 0.1446312937818533
503: Tarleton St. (0-3) with rating: 0.14423408953871147
504: Bentley (0-2) with rating: 0.14393360186242893
505: Northwest Mo. St. (0-1) with rating: 0.14337621254439514
506: Kalamazoo (0-3) with rating: 0.14210817655096486
507: Chris. Newport (0-3) with rating: 0.14200397109800839
508: North Texas (0-3) with rating: 0.1395118568411648
509: Coastal Caro. (0-3) with rating: 0.1353273856141512
510: Stillman (0-2) with rating: 0.12784176673302972
511: Southern Conn. St. (0-2) with rating: 0.11957637544618441
512: Incarnate Word (0-2) with rating: 0.119486518708875
513: N.M. Highlands (0-3) with rating: 0.1175259967837102
514: Chapman (0-1) with rating: 0.11704204696083552
515: St. Lawrence (0-2) with rating: 0.1153238467365685
516: South Dakota St. (0-2) with rating: 0.11453881895228278
517: American Int'l (0-2) with rating: 0.11359135820337556
518: Becker (0-3) with rating: 0.11262425545514242
519: Illinois Col. (0-2) with rating: 0.11036346619975515
520: Rockford (0-2) with rating: 0.10899675189945006
521: Clarion (0-2) with rating: 0.10810026029695013
522: Howard (0-3) with rating: 0.1074782280861947
523: Morrisville St. (0-2) with rating: 0.10709984460604516
524: Eastern Ky. (0-3) with rating: 0.10668883725431329
525: Dixie St. (0-4) with rating: 0.10556336186956937
526: Eastern Ill. (0-3) with rating: 0.10480654997369107
527: Cheyney (0-2) with rating: 0.1021819981501679
528: Western Conn. St. (0-1) with rating: 0.1021005436043027
529: Presbyterian (0-3) with rating: 0.10168011793076648
530: Princeton (0-1) with rating: 0.10147603442678753
531: East Central (0-2) with rating: 0.10088970508955769
532: West Virginia St. (0-2) with rating: 0.10063187574253533
533: Lane (0-3) with rating: 0.10043892198533756
534: Wis.-Stevens Point (0-1) with rating: 0.1

Sunday, September 12, 2010

Last year's (2009) reports. Which function to use?

Two weeks have already gone by in the current season! I really need to be up and running before week 4 or 5 comes around...

I had tentatively chosen using a sine function as my "point difference value" function. This means I had the increasing half of a sine wave, but stretched out to domain [-14, 14] and squished into range [0, 1] instead of [-1, 1]. Recall that 14 is the maximum point difference; winning by 21 doesn't do you any better than 14 (though I would still want 3 touchdowns ahead to feel safe).

Here're the Top 25 Lists from using that sine wave in my algorithm:

Top 25 Overall:

2009 Final
RankTeamRatingRecord
1Alabama1.0(14-0)
2Florida0.8453084110356731(13-1)
3Iowa0.7980851492713539(11-2)
4Ohio St.0.7959272934250403(11-2)
5Wis.-Whitewater0.7931014121688159(15-0)
6Villanova0.7784667208618657(14-1)
7Mount Union0.7784429732843677(14-1)
8Texas0.7743477839757599(13-1)
9Virginia Tech0.773191196612621(10-3)
10Northwest Mo. St.0.7651473177760857(14-1)
11TCU0.7561842463663239(12-1)
12Boise St.0.7422858729365828(14-0)
13Georgia Tech0.739435565048572(11-3)
14Pittsburgh0.7295069053329452(10-3)
15Delaware Valley0.7238330857064403(10-2)
16Clemson0.7093994498215039(9-5)
17Cincinnati0.7010812158089512(12-1)
18Nebraska0.6966615385768201(10-4)
19Penn St.0.6898953468548779(11-2)
20William & Mary0.6889809994069834(11-3)
21Miami (FL)0.6870668432299284(9-4)
22Grand Valley St.0.685908538491301(13-2)
23Montana0.680877393300117(14-1)
24North Carolina0.6798263244814997(8-5)
25Wesley0.6713242891766065(13-1)



Top 25 in Division 1 (FBS):

2009 Final
RankTeamRatingRecord
1Alabama1.0(14-0)
2Florida0.8453084110356731(13-1)
3Iowa0.7980851492713539(11-2)
4Ohio St.0.7959272934250403(11-2)
5Texas0.7743477839757599(13-1)
6Virginia Tech0.773191196612621(10-3)
7TCU0.7561842463663239(12-1)
8Boise St.0.7422858729365828(14-0)
9Georgia Tech0.739435565048572(11-3)
10Pittsburgh0.7295069053329452(10-3)
11Clemson0.7093994498215039(9-5)
12Cincinnati0.7010812158089512(12-1)
13Nebraska0.6966615385768201(10-4)
14Penn St.0.6898953468548779(11-2)
15Miami (FL)0.6870668432299284(9-4)
16North Carolina0.6798263244814997(8-5)
17Oregon0.6674229741597587(10-3)
18Oklahoma0.6456962734233938(8-5)
19Texas Tech0.639030083187756(9-4)
20Wisconsin0.629403113243047(10-3)
21LSU0.624087758599014(9-4)
22West Virginia0.6203622415831133(9-4)
23Southern California0.6147801076029238(9-4)
24Arkansas0.6086752158140657(8-5)
25Connecticut0.6073067203910404(8-5)



Top 25 in Division 1 (FCS):

2009 Final
RankTeamRatingRecord
1Villanova0.7784667208618657(14-1)
2William & Mary0.6889809994069834(11-3)
3Montana0.680877393300117(14-1)
4Richmond0.6465949469657015(11-2)
5Appalachian St.0.6240916117263432(11-3)
6Penn0.5705862808700499(8-2)
7Southern Ill.0.5693203890449489(11-2)
8Lafayette0.5683797404977817(8-3)
9South Carolina St.0.5545719247757372(10-2)
10Prairie View0.5369545246114935(9-1)
11Holy Cross0.5336628923765148(9-3)
12New Hampshire0.5321152434443531(10-3)
13Dayton0.5314277653219569(9-2)
14Elon0.523911066979941(9-3)
15Albany (NY)0.5120847879996884(7-4)
16Colgate0.5060168197175257(9-2)
17Butler0.4992754578291487(11-1)
18Central Conn. St.0.49456101517492934(9-3)
19UNI0.49175699489806335(7-4)
20Delaware0.48472355576395554(6-5)
21Jacksonville St.0.4793301633323951(8-3)
22James Madison0.4705975202189122(6-5)
23Grambling0.46987625299272295(7-4)
24Harvard0.4694050577362635(7-3)
25South Dakota St.0.46891425825015565(8-4)



Top 25 in Division 2:

2009 Final
RankTeamRatingRecord
1Northwest Mo. St.0.7651473177760857(14-1)
2Grand Valley St.0.685908538491301(13-2)
3North Ala.0.6561898713927847(11-2)
4Central Wash.0.6514076575505942(12-1)
5Bentley0.6227502205878906(8-2)
6California (PA)0.6049365349330225(11-4)
7Carson-Newman0.5790381838220421(11-3)
8Bloomsburg0.5631765643839286(8-3)
9Southern Conn. St.0.5592674450522522(6-4)
10Merrimack0.559002250201329(7-3)
11Washburn0.5469910644776446(8-3)
12Midwestern St.0.5448958278187014(9-3)
13Minn. Duluth0.5378690030295155(11-2)
14Abilene Christian0.5377710327219685(9-4)
15Shippensburg0.529358690152923(9-3)
16Minn. St. Mankato0.5220260722540468(10-2)
17Neb.-Kearney0.514085269111764(11-2)
18Mo. Western St.0.5131292460979857(9-3)
19American Int'l0.5105344017677981(5-5)
20West Liberty St.0.5078047611140849(11-2)
21Tuskegee0.5067991980412246(10-2)
22Assumption0.49876216046245425(6-4)
23Hillsdale0.49025596096312263(10-3)
24Tex. A&M-Kingsville0.4832649948846188(9-3)
25Saginaw Valley0.48264592956391617(9-3)



Top 25 in Division 3:

2009 Final
RankTeamRatingRecord
1Wis.-Whitewater0.7931014121688159(15-0)
2Mount Union0.7784429732843677(14-1)
3Delaware Valley0.7238330857064403(10-2)
4Wesley0.6713242891766065(13-1)
5St. Thomas (MN)0.6664158425336424(11-2)
6Hampden-Sydney0.6265101435636997(10-1)
7Albright0.6259725326526914(11-2)
8St. John's (MN)0.6253033326691142(10-1)
9Central (IA)0.6181967737796882(10-1)
10North Central (IL)0.6004163792907738(8-2)
11Johns Hopkins0.5863897199077175(10-3)
12Ill. Wesleyan0.5849847531733094(10-2)
13Wittenberg0.5644283321666279(12-1)
14Ohio Northern0.5638373816157844(8-2)
15Thomas More0.5633415261106778(11-1)
16N.C. Wesleyan0.5581973916844802(8-3)
17Linfield0.547007808560474(12-1)
18Lebanon Valley0.546116762038962(9-2)
19Wheaton (IL)0.541262391729009(7-3)
20Bethel (MN)0.5386053672795033(7-3)
21Coe0.5361263280465675(10-2)
22St. John Fisher0.5336315659703305(7-3)
23Wis.-Stevens Point0.5308782675653215(7-3)
24Huntingdon0.5216159526302369(8-2)
25Alfred0.5188360049759888(8-2)





Alternatively, we could use a straight line passing through (-14, 0) and (14, 1). Here are results from 2009 using that function in my algorithm:

Top 25 Overall:

2009 Final
RankTeamRatingRecord
1Alabama1.0(14-0)
2Florida0.8375140130329837(13-1)
3Virginia Tech0.8062562432014048(10-3)
4Ohio St.0.7914302412242371(11-2)
5Mount Union0.7906960724905181(14-1)
6Wis.-Whitewater0.7833243116278779(15-0)
7Iowa0.7780443099361634(11-2)
8Texas0.771710868746212(13-1)
9Villanova0.7693228747595254(14-1)
10TCU0.7671323989983221(12-1)
11Northwest Mo. St.0.7641126926643661(14-1)
12Georgia Tech0.7414102812820377(11-3)
13Boise St.0.7341101182735286(14-0)
14Clemson0.7324192680726288(9-5)
15Pittsburgh0.7299343880385623(10-3)
16Delaware Valley0.720682971811248(10-2)
17Miami (FL)0.7112748405893534(9-4)
18Grand Valley St.0.7070348054973364(13-2)
19Penn St.0.7051516378338119(11-2)
20Nebraska0.7036643779241925(10-4)
21William & Mary0.6996751927333641(11-3)
22Cincinnati0.6950336684375533(12-1)
23North Carolina0.6820346326334037(8-5)
24Oregon0.6815880110703458(10-3)
25St. Thomas (MN)0.6755087172558527(11-2)



Top 25 in Division 1 (FBS):

2009 Final
RankTeamRatingRecord
1Alabama1.0(14-0)
2Florida0.8375140130329837(13-1)
3Virginia Tech0.8062562432014048(10-3)
4Ohio St.0.7914302412242371(11-2)
5Iowa0.7780443099361634(11-2)
6Texas0.771710868746212(13-1)
7TCU0.7671323989983221(12-1)
8Georgia Tech0.7414102812820377(11-3)
9Boise St.0.7341101182735286(14-0)
10Clemson0.7324192680726288(9-5)
11Pittsburgh0.7299343880385623(10-3)
12Miami (FL)0.7112748405893534(9-4)
13Penn St.0.7051516378338119(11-2)
14Nebraska0.7036643779241925(10-4)
15Cincinnati0.6950336684375533(12-1)
16North Carolina0.6820346326334037(8-5)
17Oregon0.6815880110703458(10-3)
18Oklahoma0.6719728060096853(8-5)
19Texas Tech0.6603394553337874(9-4)
20LSU0.6439990579906637(9-4)
21Arkansas0.6416866126023655(8-5)
22Stanford0.6281654984912417(8-5)
23Wisconsin0.6269201674880754(10-3)
24Connecticut0.625969671660246(8-5)
25West Virginia0.6259090774667414(9-4)



Top 25 in Division 1 (FCS):

2009 Final
RankTeamRatingRecord
1Villanova0.7693228747595254(14-1)
2William & Mary0.6996751927333641(11-3)
3Montana0.668918978937866(14-1)
4Richmond0.6505468941520873(11-2)
5Appalachian St.0.6352221225251433(11-3)
6Penn0.5853206401038488(8-2)
7Lafayette0.5826101609367887(8-3)
8Southern Ill.0.5758981510635751(11-2)
9South Carolina St.0.5756766620588794(10-2)
10Holy Cross0.5571977192558633(9-3)
11Dayton0.5441672965977702(9-2)
12Elon0.5438930002908253(9-3)
13New Hampshire0.5348437763559363(10-3)
14Albany (NY)0.5289155188666127(7-4)
15UNI0.5244940291156869(7-4)
16Prairie View0.5201104866585063(9-1)
17Colgate0.509823129943224(9-2)
18Harvard0.5036803553226694(7-3)
19Central Conn. St.0.5015797113873409(9-3)
20Jacksonville St.0.5015143372354974(8-3)
21Delaware0.49778311578804924(6-5)
22Grambling0.49130119932242156(7-4)
23James Madison0.4881071058910479(6-5)
24Butler0.4879963739080785(11-1)
25South Dakota St.0.4788642961294367(8-4)



Top 25 in Division 2:

2009 Final
RankTeamRatingRecord
1Northwest Mo. St.0.7641126926643661(14-1)
2Grand Valley St.0.7070348054973364(13-2)
3North Ala.0.6589248859709883(11-2)
4Central Wash.0.6427461121979486(12-1)
5Bentley0.6163786167306488(8-2)
6California (PA)0.6056960816428902(11-4)
7Southern Conn. St.0.5949814031397045(6-4)
8Washburn0.5747255269341602(8-3)
9Carson-Newman0.5641517923095019(11-3)
10Midwestern St.0.561278879677497(9-3)
11Merrimack0.5582819018073711(7-3)
12Bloomsburg0.5555371470467685(8-3)
13Minn. Duluth0.5435282641120275(11-2)
14American Int'l0.5408759795866735(5-5)
15Abilene Christian0.5390385057283348(9-4)
16Minn. St. Mankato0.5272422871493335(10-2)
17Mo. Western St.0.521714002240214(9-3)
18Assumption0.5167516769184468(6-4)
19Neb.-Kearney0.5159111770422175(11-2)
20Shippensburg0.5151726965350313(9-3)
21West Liberty St.0.5026027924612839(11-2)
22Tuskegee0.5020736136283973(10-2)
23West Chester0.49677154950897895(7-4)
24Hillsdale0.4946367916700576(10-3)
25Arkansas Tech0.4876935604560573(9-3)



Top 25 in Division 3:

2009 Final
RankTeamRatingRecord
1Mount Union0.7906960724905181(14-1)
2Wis.-Whitewater0.7833243116278779(15-0)
3Delaware Valley0.720682971811248(10-2)
4St. Thomas (MN)0.6755087172558527(11-2)
5Wesley0.6702253903097455(13-1)
6Hampden-Sydney0.6306122724482518(10-1)
7Central (IA)0.6225835315978534(10-1)
8Albright0.6218429622333305(11-2)
9North Central (IL)0.6172499489842973(8-2)
10St. John's (MN)0.6144304989223393(10-1)
11Johns Hopkins0.5852825159365133(10-3)
12N.C. Wesleyan0.5662121448561163(8-3)
13Ohio Northern0.5649808451620524(8-2)
14Wittenberg0.5629082650244601(12-1)
15Ill. Wesleyan0.5622145780372327(10-2)
16Bethel (MN)0.5537735374747976(7-3)
17Thomas More0.5505069035752247(11-1)
18Linfield0.5482408016061038(12-1)
19St. John Fisher0.5412793048867931(7-3)
20Lebanon Valley0.5407010126008093(9-2)
21Wheaton (IL)0.5384537135255089(7-3)
22Wis.-Stevens Point0.5286111182179198(7-3)
23Coe0.5276532336870888(10-2)
24Alfred0.5264389817584934(8-2)
25Wabash0.5207325113204947(9-2)

Notice, there's a big difference between the two! (Look at Virginia Tech, moving from 9th overall to third!)

Additionally, I have implemented two quarter ellipses, with the same concavity as the sine wave, and still hitting the point (0,0). Here are the 2009 results using that:

Top 25 Overall:

2009 Final
RankTeamRatingRecord
1Alabama1.0(14-0)
2Florida0.8461522831760302(13-1)
3Ohio St.0.803790134384138(11-2)
4Iowa0.8000892121048037(11-2)
5Villanova0.7982815599743636(14-1)
6Wis.-Whitewater0.7874022075280384(15-0)
7Texas0.7845227894081565(13-1)
8Mount Union0.7706025647593746(14-1)
9Northwest Mo. St.0.7695655969551253(14-1)
10TCU0.7529018530228215(12-1)
11Georgia Tech0.7515323440365002(11-3)
12Boise St.0.7493420870879128(14-0)
13Virginia Tech0.7415017112855525(10-3)
14Cincinnati0.7261247121168325(12-1)
15Pittsburgh0.7225780691340195(10-3)
16Delaware Valley0.7198118561716147(10-2)
17Oregon0.6865955151109341(10-3)
18Penn St.0.68098073031659(11-2)
19Montana0.6785709850235997(14-1)
20Miami (FL)0.6776511576043561(9-4)
21Wesley0.6696404755586843(13-1)
22Clemson0.6649307708306719(9-5)
23North Carolina0.6646154701576453(8-5)
24Grand Valley St.0.664204310280295(13-2)
25William & Mary0.6629849673595576(11-3)



Top 25 in Division 1 (FBS):

2009 Final
RankTeamRatingRecord
1Alabama1.0(14-0)
2Florida0.8461522831760302(13-1)
3Ohio St.0.803790134384138(11-2)
4Iowa0.8000892121048037(11-2)
5Texas0.7845227894081565(13-1)
6TCU0.7529018530228215(12-1)
7Georgia Tech0.7515323440365002(11-3)
8Boise St.0.7493420870879128(14-0)
9Virginia Tech0.7415017112855525(10-3)
10Cincinnati0.7261247121168325(12-1)
11Pittsburgh0.7225780691340195(10-3)
12Oregon0.6865955151109341(10-3)
13Penn St.0.68098073031659(11-2)
14Miami (FL)0.6776511576043561(9-4)
15Clemson0.6649307708306719(9-5)
16North Carolina0.6646154701576453(8-5)
17Nebraska0.6570709741408631(10-4)
18West Virginia0.6346561285411506(9-4)
19Wisconsin0.6316109082128977(10-3)
20Southern California0.6246946847743031(9-4)
21BYU0.6101573119103122(11-2)
22LSU0.6088240269397646(9-4)
23Texas Tech0.6050346790290825(9-4)
24Oklahoma0.597718051665349(8-5)
25Oklahoma St.0.5891883387541051(9-4)



Top 25 in Division 1 (FCS):

2009 Final
RankTeamRatingRecord
1Villanova0.7982815599743636(14-1)
2Montana0.6785709850235997(14-1)
3William & Mary0.6629849673595576(11-3)
4Richmond0.641486495561455(11-2)
5Appalachian St.0.6128833917164505(11-3)
6Lafayette0.5647588827291284(8-3)
7Prairie View0.5588445918834902(9-1)
8Penn0.554794232229236(8-2)
9Southern Ill.0.5539802866985971(11-2)
10South Carolina St.0.5445590702403283(10-2)
11Butler0.5308817532763204(11-1)
12New Hampshire0.5299571009280614(10-3)
13Holy Cross0.5274911518859167(9-3)
14Dayton0.5086518923387161(9-2)
15Colgate0.5011849092408744(9-2)
16Central Conn. St.0.49511226502781913(9-3)
17Elon0.49411051626131586(9-3)
18Albany (NY)0.482065783456753(7-4)
19McNeese St.0.4737543394005732(9-3)
20Jacksonville St.0.4674662431839661(8-3)
21Stephen F. Austin0.46669341908034934(10-3)
22Delaware0.46321669910490937(6-5)
23Harvard0.45869674471488664(7-3)
24Texas St.0.4534738715861214(7-4)
25South Dakota St.0.45125824594834807(8-4)



Top 25 in Division 2:

2009 Final
RankTeamRatingRecord
1Northwest Mo. St.0.7695655969551253(14-1)
2Grand Valley St.0.664204310280295(13-2)
3North Ala.0.6504061553075171(11-2)
4Central Wash.0.646268600494261(12-1)
5Bentley0.6243046653547869(8-2)
6California (PA)0.6116364842645406(11-4)
7Carson-Newman0.6050155768966212(11-3)
8Bloomsburg0.5562453789480943(8-3)
9Merrimack0.5513349915057693(7-3)
10Shippensburg0.5509938528992864(9-3)
11Abilene Christian0.537191901361397(9-4)
12Minn. Duluth0.5279108294568543(11-2)
13Southern Conn. St.0.5232531043507883(6-4)
14West Liberty St.0.5199637505018664(11-2)
15Midwestern St.0.5190319692805384(9-3)
16Minn. St. Mankato0.5145662259096687(10-2)
17Neb.-Kearney0.5141940589226409(11-2)
18Tuskegee0.511761460469959(10-2)
19Mo. Western St.0.5082246886977225(9-3)
20Washburn0.5061876006123867(8-3)
21Hillsdale0.49653136894610395(10-3)
22American Int'l0.49433402752715905(5-5)
23Edinboro0.4915468118789883(9-4)
24Tex. A&M-Kingsville0.4902810517577052(9-3)
25Saginaw Valley0.4869669061773336(9-3)



Top 25 in Division 3:

2009 Final
RankTeamRatingRecord
1Wis.-Whitewater0.7874022075280384(15-0)
2Mount Union0.7706025647593746(14-1)
3Delaware Valley0.7198118561716147(10-2)
4Wesley0.6696404755586843(13-1)
5St. Thomas (MN)0.6449689451957051(11-2)
6St. John's (MN)0.64387543260433(10-1)
7Albright0.631753070936488(11-2)
8Central (IA)0.6151994345554354(10-1)
9Hampden-Sydney0.6092014727863571(10-1)
10Ill. Wesleyan0.6050807504430114(10-2)
11Johns Hopkins0.5887640289962214(10-3)
12North Central (IL)0.5852524566462218(8-2)
13Wittenberg0.5703325658575837(12-1)
14Thomas More0.56046488911415(11-1)
15Coe0.5529093379366911(10-2)
16Linfield0.5488831746832061(12-1)
17Ohio Northern0.547277816805124(8-2)
18Lebanon Valley0.5426748622292078(9-2)
19N.C. Wesleyan0.5336367989993025(8-3)
20Wheaton (IL)0.5254412962641876(7-3)
21Montclair St.0.5228652549270777(10-2)
22St. John Fisher0.5196981219641389(7-3)
23Wis.-Stevens Point0.5187885805836574(7-3)
24Alfred0.5171784715824479(8-2)
25Huntingdon0.5171387319022059(8-2)


Again, this is different!

Finally, I implemented the "a win is a win" function which evaluates to 0 for all negative numbers and 1 for all positive numbers. Here are the 2009 results using that:

Top 25 Overall:

2009 Final
RankTeamRatingRecord
1Alabama1.0(14-0)
2Florida0.8476485258456193(13-1)
3Villanova0.8442892786724461(14-1)
4Ohio St.0.8025653161000093(11-2)
5Texas0.794864106188952(13-1)
6Iowa0.7881240537036774(11-2)
7Northwest Mo. St.0.7869784446847706(14-1)
8Wis.-Whitewater0.7721562178144329(15-0)
9Cincinnati0.7720287171736322(12-1)
10Mount Union0.7629445168638388(14-1)
11Georgia Tech0.7569998970754799(11-3)
12Boise St.0.754952442075711(14-0)
13TCU0.7457294006337875(12-1)
14Oregon0.7116595398148083(10-3)
15Virginia Tech0.7101853636093404(10-3)
16Delaware Valley0.7098655171560466(10-2)
17Pittsburgh0.6917795271496436(10-3)
18Miami (FL)0.679849807720281(9-4)
19Penn St.0.6637701103912664(11-2)
20Wesley0.6635346597088941(13-1)
21Montana0.6592741700085788(14-1)
22St. John's (MN)0.6586406870631089(10-1)
23North Ala.0.6498206212281809(11-2)
24West Virginia0.6455602244046351(9-4)
25Grand Valley St.0.6427719564058352(13-2)



Top 25 in Division 1 (FBS):

2009 Final
RankTeamRatingRecord
1Alabama1.0(14-0)
2Florida0.8476485258456193(13-1)
3Ohio St.0.8025653161000093(11-2)
4Texas0.794864106188952(13-1)
5Iowa0.7881240537036774(11-2)
6Cincinnati0.7720287171736322(12-1)
7Georgia Tech0.7569998970754799(11-3)
8Boise St.0.754952442075711(14-0)
9TCU0.7457294006337875(12-1)
10Oregon0.7116595398148083(10-3)
11Virginia Tech0.7101853636093404(10-3)
12Pittsburgh0.6917795271496436(10-3)
13Miami (FL)0.679849807720281(9-4)
14Penn St.0.6637701103912664(11-2)
15West Virginia0.6455602244046351(9-4)
16North Carolina0.632829626276422(8-5)
17Southern California0.6295648405662061(9-4)
18BYU0.6244158541319746(11-2)
19Wisconsin0.616203201283595(10-3)
20Clemson0.6117848049167259(9-5)
21Oklahoma St.0.5887409271868745(9-4)
22Georgia0.5790768374223683(8-5)
23LSU0.5788646263799647(9-4)
24Florida St.0.5760832410035548(7-6)
25Mississippi0.5729959308562517(9-4)



Top 25 in Division 1 (FCS):

2009 Final
RankTeamRatingRecord
1Villanova0.8442892786724461(14-1)
2Montana0.6592741700085788(14-1)
3Richmond0.620982725257673(11-2)
4William & Mary0.6129164145877628(11-3)
5Appalachian St.0.5988039703506512(11-3)
6Prairie View0.5785282067103911(9-1)
7Butler0.5714415436238156(11-1)
8Lafayette0.5604053944118802(8-3)
9Penn0.5360220574676265(8-2)
10South Carolina St.0.5349353249871499(10-2)
11New Hampshire0.5315464457781169(10-3)
12Holy Cross0.5290512954622827(9-3)
13Southern Ill.0.5268033671090292(11-2)
14Central Conn. St.0.5050883499926971(9-3)
15Colgate0.4978612873338145(9-2)
16McNeese St.0.4837792286000282(9-3)
17Dayton0.4695782165989616(9-2)
18Stephen F. Austin0.46799039639797957(10-3)
19Jacksonville St.0.45924419241037784(8-3)
20Elon0.45826962535282467(9-3)
21Harvard0.4540464607840251(7-3)
22Liberty0.439305063459948(8-3)
23Florida A&M0.4390490824613894(8-3)
24Albany (NY)0.43081408578374114(7-4)
25Eastern Ill.0.4275929381619594(8-4)



Top 25 in Division 2:

2009 Final
RankTeamRatingRecord
1Northwest Mo. St.0.7869784446847706(14-1)
2North Ala.0.6498206212281809(11-2)
3Grand Valley St.0.6427719564058352(13-2)
4Carson-Newman0.6365353745430206(11-3)
5Central Wash.0.6207707700285833(12-1)
6California (PA)0.6184424849636605(11-4)
7Bentley0.6180727287168293(8-2)
8Shippensburg0.5791801234961353(9-3)
9Merrimack0.5424670770811285(7-3)
10West Liberty St.0.5333383050140932(11-2)
11West Ala.0.5289552077637287(8-5)
12Abilene Christian0.5287807428937434(9-4)
13Bloomsburg0.5257908765726829(8-3)
14Minn. Duluth0.5230161734852866(11-2)
15Edinboro0.5201871403290004(9-4)
16Neb.-Kearney0.516407254240245(11-2)
17Tuskegee0.5159533693786152(10-2)
18Tarleton St.0.5096761391043202(10-3)
19Minn. St. Mankato0.5058877167023154(10-2)
20Hillsdale0.5004179055913341(10-3)
21Mo. Western St.0.4991459942776022(9-3)
22Saginaw Valley0.4925344931249338(9-3)
23Midwestern St.0.48710305074642546(9-3)
24Tex. A&M-Kingsville0.48657809356690607(9-3)
25Arkansas Tech0.4811413965807063(9-3)



Top 25 in Division 3:

2009 Final
RankTeamRatingRecord
1Wis.-Whitewater0.7721562178144329(15-0)
2Mount Union0.7629445168638388(14-1)
3Delaware Valley0.7098655171560466(10-2)
4Wesley0.6635346597088941(13-1)
5St. John's (MN)0.6586406870631089(10-1)
6Albright0.6422639965152028(11-2)
7Central (IA)0.6193141797112544(10-1)
8Ill. Wesleyan0.6156833174515683(10-2)
9St. Thomas (MN)0.6146746382771975(11-2)
10Johns Hopkins0.5864043182643489(10-3)
11Coe0.5766563683144624(10-2)
12Hampden-Sydney0.5755265535868563(10-1)
13Wittenberg0.5754845574034458(12-1)
14North Central (IL)0.5702138543610139(8-2)
15Linfield0.5520500725461295(12-1)
16Thomas More0.5512412073075309(11-1)
17Montclair St.0.533510863489676(10-2)
18Lebanon Valley0.5193569103339398(9-2)
19Ohio Northern0.5193236563371716(8-2)
20Alfred0.5120594976068551(8-2)
21Huntingdon0.5114159767902454(8-2)
22St. John Fisher0.5018388475460532(7-3)
23Springfield0.5016339537038965(8-2)
24Mississippi Col.0.49846913982344276(9-3)
25Otterbein0.49591039197169573(8-2)


My intuition leans towards the sine wave or the ellipse-chunks. This, I think, adds emphasis towards winning games, not just for getting close. Winning by that first point is more valuable than the added benefit of that second point. Sure, a bigger win is better, but the first point is the most valuable. Perhaps there is a better curve (if you think of one, I'd love to implement it!) but either of these seem to be pretty good. I'll stick with the sine curve until further notice.

Coming soon: Week 2 results for this season!