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Tag:Week 5
Posted on: December 6, 2010 6:56 pm
 

NCAAB Mathematical Rankings 1 (Week 5)

Hey folks. Here's how these Mathematical Rankings are going to work this season. For no other reason than my interest in mathematically figuring out the best team in the nation, I have decided to compile only numerical data do come up with these Monday rankings. The formula is as follows:

AP+CO+RPI = x
where x is the numerical ranking value
     AP: AP Votes (25%)
     CO: Coach Votes (25%)
     RPI: RPI (50%)
In each category, the highest number gets 1, and each other value gets divided by that high value, then weighted.

We'll use Duke as an example from this week.

Duke (8-0) AP Votes: 1625  Coach Votes: 775  RPI: .7174

1625/1625 = 1
1*0.25 = 0.25

775/775 = 1
1*0.25 = 0.25

0.7174/0.749(TENN) = .95781
0.95781*0.5 = 0.478905

0.25+0.25+0.478905 = .978905, which is Duke's final ranking number and happens to be first place overall.

Rankings are formatted as follows: # Team Name (Rec) - #ranking value

THE ONLY TEAMS INCLUDED ARE TEAMS WHICH RECEIVE VOTES IN AP OR COACH POLLS!!! This means that there could be teams that fir mathematically in to the rankings above some teams who receive votes, but for my own purposes it is easier if I only include teams which receive votes in the polls.

Hope these aren't too complex for most of you, and are an interesting addition to the AP and Coach's Polls. I'll talk about each in my weekly rankings analysis post. Enjoy!

1 Duke (8-0) - 0.978905
2 Ohio St (6-0) - 0.954016
3 Pittsburgh (9-0) - 0.926112
4 Kansas (7-0) - 0.904704
5 Connecticut (7-0) - 0.865151
6 Kansas State (7-1) - 0.84182
7 Georgetown (8-0) - 0.824546
8 Syracuse (8-0) - 0.821732
9 Tennessee (6-0) - 0.760904
10 Michigan State (6-2) - 0.758624
11 Baylor (6-0) - 0.71381
12 San Diego State (8-0) - 0.678729
13 Missouri (6-1) - 0.66263
14 Villanova (6-1) - 0.655847
15 Memphis (7-0) - 0.63195
16 Kentucky (5-2) - 0.624034
17 Illinois (8-1) - 0.620416
18 UNLV (8-0) - 0.593503
19 BYU (8-0) - 0.5648
20 Purdue (7-1) - 0.537593
21 Minnesota (7-1) - 0.532932
22 Notre Dame (8-0) - 0.502494
23 Florida (6-2) - 0.488084
24 Washington (5-2) - 0.475812
25 Texas (6-1) - 0.468572

26 Louisville (6-0) - 0.458754
27 West Virginia (5-2) - 0.452034
28 UCF (7-0) - 0.451926
29 Cleveland St. (10-0) - 0.445986
30 Vanderbilt (7-1) - 0.443691
31 North Carolina (5-3) - 0.436899
32 St. Mary's (6-2) - 0.419594
33 Wisconsin (6-2) - 0.409412
34 Temple (5-2) - 0.40272
35 Wichita St. (5-2) - 0.398503
36 Texas A&M (6-1) - 0.390848
37 Arizona (7-1) - 0.38899
38 New Mexico (5-1) - 0.386036
39 Richmond (6-2) - 0.38488
40 Virginia Tech (4-3) - 0.376624
41 Cincinnati (7-0) - 0.376491
42 Northwestern (5-0) - 0.375121
43 Washington State (5-1) - 0.360002
44 Gonzaga (4-3) - 0.348992

If you for some reason would like an extended breakdown for a particular team let me know, or you could do the math yourself. Either way it would work. Enjoy!

 
 
 
 
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