Alternate Vote Counting for the AP Poll

© Copyright 2006, Paul Kislanko

The Associated Press has begun publishing their ballots. (Thanks to Sunday Morning Quarterback for pointing this out.)

• 36 teams were listed on at least one ballot
• 17 teams were in at least one voter's top ten
• 24 teams were on a majority of top 25 ballots
• 17 teams are in every voter's top 25

In the Ballot comparison the teams are ordered by the best rank for which a majority of voters voted the team at least that high (see the ballot summary below). In other words, the 10th team was listed by at least 33 voters somewhere between 1st and 10th, and the ballots are listed left-to-right by the number of teams for which their ranking contributed to the teams' order. Within the table the cells corresponding to ranks for team i by voter j where the voter ranked the team worse than the majority did are bold.

The "Wtd Var" row is a measure of the importance and size of the differences in the voter's ranking from the majority's consensus. It combines the size of the difference with the best rank by either the majority of voters or this ballot (differences in the top 10 matter more than differences in 25th and unranked.)

Ballot Summary for Associated Press Poll
9 Oct 2006 2:48pm (Central)

Team Maj Cnt Borda ←Rnk Best #Ballots RealB ←Rnk
1 Ohio State 1 63 1623 1 1 65 7668 1
2 Florida 2 38 1517 2 2 65 7562 2
3 Southern California 3 33 1453 3 2 65 7498 3
4 Michigan 4 39 1428 4 2 65 7473 4
5 West Virginia 4 38 1412 5 1 65 7457 5
6 Texas 6 48 1296 6 4 65 7341 6
7 Louisville 7 54 1247 7 4 65 7292 7
8 Tennessee 8 47 1158 8 4 65 7203 8
9 Notre Dame 9 38 1069 9 7 65 7114 9
10 California 10 37 1013 10 5 65 7058 10
11 Auburn 12 45 947 11 8 65 6992 11
12 Clemson 12 43 876 12 9 65 6921 12
13 Georgia Tech 14 36 736 13 11 65 6781 13
14 LSU 15 40 700 14 7 65 6745 14
15 Iowa 15 34 662 15 8 65 6707 15
16 Georgia 16 37 616 16 11 65 6661 16
17 Oregon 19 42 471 18 14 64 6423 18
18 Arkansas 19 36 476 17 10 57 5777 22
19 Boise St 19 33 456 20 11 65 6501 17
20 Missouri 19 33 466 19 10 64 6418 19
21 Nebraska 20 42 430 21 12 63 6289 20
22 Virginia Tech 20 33 358 22 13 59 5845 21
23 Oklahoma 22 34 273 23 15 55 5388 23
24 Rutgers 23 36 194 24 17 55 5309 24
25 Wisconsin     86 25 16 32 3062 25
Team Maj Cnt Borda ←Rnk Best #Ballots RealB ←Rnk
26 Boston College     79 26 16 32 3055 26
27 Florida St     25 27 20 9 862 27
28 UCLA     13 28 23 6 571 28
29 Washington     9 31 23 6 567 29
30 Miami-Florida     13 28 20 5 478 30
31 Penn State     10 30 22 4 382 31
32 Pittsburgh     6 32 23 4 378 32
33 North Carolina St     3 33 24 2 189 33
34 Texas Tech     2 34 24 1 95 34
35 Wake Forest     1 35 25 1 94 35
35 BYU     1 35 25 1 94 35

Count of Votes by Rank for the Associated Press Poll
9 Oct 2006 2:49pm (Central)

Team #1 #2 #3 #4 #5 #6 #7 #8 #9 #10 #11 #12 #13 #14 #15 #16 #17 #18 #19 #20 #21 #22 #23 #24 #25
Ohio State 63 2 — — — — — — — — — — — — — — — — — — — — — —
Florida — 38 14 10 3 — — — — — — — — — — — — — — — — — — —
Southern California — 16 17 14 11 6 1 — — — — — — — — — — — — — — — — —
Michigan — 3 23 13 22 3 1 — — — — — — — — — — — — — — — — —
West Virginia 2 6 11 19 16 6 2 2 1 — — — — — — — — — — — — — — —
Texas — — — 6 3 39 15 2 — — — — — — — — — — — — — — — —
Louisville — — — 2 8 7 37 9 1 — — — 1 — — — — — — — — — — —
Tennessee — — — 1 1 4 7 34 8 5 4 1 — — — — — — — — — — — —
Notre Dame — — — — — — 1 10 27 15 8 1 1 2 — — — — — — — — — —
California — — — — 1 — — 3 18 15 12 8 6 — 2 — — — — — — — — —
Auburn — — — — — — — 4 7 13 8 13 13 4 1 — 2 — — — — — — —
Clemson — — — — — — — — 2 8 17 16 7 4 3 1 3 2 1 — — — 1 —
Georgia Tech — — — — — — — — — — 6 6 8 16 10 7 3 4 1 2 — 2 — —
LSU — — — — — — 1 — 1 3 2 6 7 12 8 5 4 5 2 2 1 4 2 —
Iowa — — — — — — — 1 — 2 2 3 8 8 10 7 5 5 3 3 5 2 1 —
Georgia — — — — — — — — — — 1 1 6 7 12 10 7 5 7 3 2 3 — — 1
Oregon — — — — — — — — — — — — — 3 4 7 10 7 11 7 5 4 4 1 1
Arkansas — — — — — — — — — 2 2 7 6 1 2 4 3 3 6 2 4 4 3 6 2
Boise St — — — — — — — — — — 2 1 1 — 3 5 10 8 3 6 11 9 3 2 1
Missouri — — — — — — — — — 2 1 1 — 3 5 7 5 4 5 6 10 7 4 2 2
Nebraska — — — — — — — — — — — 1 — 3 2 7 4 5 10 10 6 9 5 — 1
Virginia Tech — — — — — — — — — — — — 1 2 1 1 7 7 7 7 6 8 6 4 2
Oklahoma — — — — — — — — — — — — — — 2 2 1 6 6 8 4 5 9 5 7
Rutgers — — — — — — — — — — — — — — — — 1 2 3 5 5 3 17 11 8
Wisconsin — — — — — — — — — — — — — — — 1 — 1 — 1 2 3 4 8 12
Team #1 #2 #3 #4 #5 #6 #7 #8 #9 #10 #11 #12 #13 #14 #15 #16 #17 #18 #19 #20 #21 #22 #23 #24 #25
Boston College — — — — — — — — — — — — — — — 1 — 1 — 1 2 — 3 12 12
Florida St — — — — — — — — — — — — — — — — — — — 1 2 — — 3 3
UCLA — — — — — — — — — — — — — — — — — — — — — — 1 5
Washington — — — — — — — — — — — — — — — — — — — — — — 1 1 4
Miami-Florida — — — — — — — — — — — — — — — — — — — 1 — 1 — — 3
Penn State — — — — — — — — — — — — — — — — — — — — — 1 — 3
Pittsburgh — — — — — — — — — — — — — — — — — — — — — — 1 — 3
North Carolina St — — — — — — — — — — — — — — — — — — — — — — — 1 1
Texas Tech — — — — — — — — — — — — — — — — — — — — — — — 1
Wake Forest — — — — — — — — — — — — — — — — — — — — — — — — 1
BYU — — — — — — — — — — — — — — — — — — — — — — — — 1

Pairwise Matrix for Associated Press Poll
(Only teams on a majority of ballots listed)
9 Oct 2006 1:36pm (Central)

Indx Team 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24
1 Ohio State   65 65 63 65 65 65 65 65 65 65 65 65 65 65 65 65 65 65 65 65 65 65 65
2 Florida     47 50 55 65 65 65 65 65 65 65 65 65 65 65 65 65 65 65 65 65 65 65
3 Southern California   18   45 36 62 59 64 65 64 65 65 65 65 65 65 65 65 65 65 65 65 65 65
4 West Virginia 2 15 20   34 54 56 62 65 64 65 65 65 65 65 65 65 65 65 65 65 65 65 65
5 Michigan   10 29 31   59 64 65 65 65 65 65 65 65 65 65 65 65 65 65 65 65 65 65
6 Texas     3 11 6   49 58 65 64 65 65 65 65 65 65 65 65 65 65 65 65 65 65
7 Louisville     6 9 1 16   54 63 62 64 64 65 64 65 65 64 65 65 65 65 65 65 65
8 Tennessee     1 3   7 11   50 60 57 65 65 63 63 65 65 65 64 65 64 65 65 65
9 Notre Dame             2 15   45 50 57 65 60 64 64 63 65 65 65 64 65 65 65
10 California     1 1   1 3 5 20   42 53 59 58 61 63 63 65 64 65 64 65 65 65
11 Auburn             1 8 15 23   38 56 60 59 63 48 64 63 64 62 64 65 65
12 Clemson             1   8 12 27   52 49 51 55 59 60 60 62 59 62 64 65
13 Georgia Tech                   6 9 13   34 39 40 49 59 56 58 55 64 61 64
14 LSU             1 2 5 7 5 16 31   33 46 39 55 54 52 49 54 64 61
15 Iowa               2 1 4 6 14 26 32   38 45 45 50 51 49 57 56 60
16 Georgia                 1 2 2 10 25 19 27   37 50 51 50 43 51 59 63
17 Arkansas             1   2 2 17 6 16 26 20 28   34 35 29 28 33 46 45
18 Oregon                     1 5 6 10 20 15 31   36 39 32 43 54 56
19 Boise St               1   1 2 5 9 11 15 14 30 29   36 34 46 45 56
20 Nebraska                     1 3 7 13 14 15 36 26 29   33 35 43 57
21 Missouri               1 1 1 3 6 10 16 16 22 37 33 31 32   40 44 56
22 Virginia Tech                     1 3 1 11 8 14 30 22 19 30 25   39 50
23 Oklahoma                       1 4 1 9 6 19 11 20 22 21 26   39
24 Rutgers                         1 4 5 2 20 8 9 8 8 14 25