We use the Random Walkers to rank all 119 Division-IA teams, plus the extra made-up "team" representing their collective Non-Division-IA opponents. The "votes" in the Random Walker (RW) system are all essentially first-place votes, teams with more votes ranked more highly. In addition, we consider a slight extension, the Random Walker with First & Last (RWFL) system is a combination of "first-place" and "last-place" votes. We have determined that our bias parameter p=0.75 has nice properties for RWFL (technical, to be discussed later), so we use p=0.75 for RWFL and are happy that this is coincidentally the same primary value we have used in the past for the RW rankings.

2005 Random Walker Rankings (p=0.75)
Games Through Saturday December 3rd
RW RWFL
RankTeam (Wins-Losses)% of Total Votes Team (Wins-Losses)%(First)-%(Last)
1Texas (12-0)2.9630Texas (12-0)2.7379
2Southern Cal (12-0)2.7572Southern Cal (12-0)2.5127
3Penn State (10-1)2.4321Penn State (10-1)2.2417
4Ohio State (9-2)1.9905Ohio State (9-2)1.7757
5Virginia Tech (10-2)1.9890Virginia Tech (10-2)1.7189
6Miami FL (9-2)1.9005Miami FL (9-2)1.5956
7Georgia (10-2)1.8049Georgia (10-2)1.5048
8Oregon (10-1)1.7433Oregon (10-1)1.3999
9LSU (10-2)1.7236LSU (10-2)1.3302
10Auburn (9-2)1.6612West Virginia (10-1)1.3063
11West Virginia (10-1)1.6248Auburn (9-2)1.2994
12Notre Dame (9-2)1.5522Notre Dame (9-2)1.2362
13UCLA (9-2)1.5371Michigan (7-4)1.1875
14Texas Tech (9-2)1.5174UCLA (9-2)1.1196
15Michigan (7-4)1.4767Alabama (9-2)1.1048
16Georgia Tech (7-4)1.4722Georgia Tech (7-4)1.1026
17Alabama (9-2)1.4682Wisconsin (9-3)1.0973
18Florida (8-3)1.4361Florida (8-3)1.0847
19Florida St (8-4)1.4084Texas Tech (9-2)1.0796
20Wisconsin (9-3)1.4013Boston College (8-3)1.0584
21TCU (10-1)1.3906TCU (10-1)1.0022
22Boston College (8-3)1.3788Florida St (8-4)0.9569
23Oklahoma (7-4)1.2774Northwestern (7-4)0.9545
24Northwestern (7-4)1.2674Oklahoma (7-4)0.9229
25Minnesota (7-4)1.2170Minnesota (7-4)0.8779
26Clemson (7-4)1.2162Louisville (9-2)0.7949
27Louisville (9-2)1.1896Clemson (7-4)0.7949
28Iowa (7-4)1.1335Iowa (7-4)0.7437
29South Carolina (7-4)1.1317South Carolina (7-4)0.7319
30Colorado (7-5)1.1012Colorado (7-5)0.6300
31Nebraska (7-4)1.0531Nebraska (7-4)0.5760
32North Carolina St (6-5)1.0066North Carolina (5-6)0.4746
33Iowa St (7-4)0.9898Virginia (6-5)0.4707
34Virginia (6-5)0.9770North Carolina St (6-5)0.4669
35Arizona St (6-5)0.9673Iowa St (7-4)0.4646
36North Carolina (5-6)0.9480Arizona St (6-5)0.4164
37Kansas (6-5)0.9406Kansas (6-5)0.3633
38Missouri (6-5)0.8958Purdue (5-6)0.3436
39California (7-4)0.8955Michigan St (5-6)0.3338
40South Florida (6-5)0.8710Maryland (5-6)0.3145
41Maryland (5-6)0.8369Missouri (6-5)0.3064
42Tennessee (5-6)0.8342South Florida (6-5)0.2959
43Michigan St (5-6)0.8283California (7-4)0.2668
44Stanford (5-6)0.8256Tennessee (5-6)0.2585
45Purdue (5-6)0.7915Tulsa (8-4)0.1812
46Texas A&M (5-6)0.7788Texas A&M (5-6)0.1674
47Tulsa (8-4)0.7726Central Florida (8-4)0.1425
48Baylor (5-6)0.7555Baylor (5-6)0.1026
49Fresno St (8-4)0.7532Boise St (9-3)0.1011
50Boise St (9-3)0.7499Toledo (8-3)0.0860
51Wake Forest (4-7)0.7253Rutgers (7-4)0.0836
52Central Florida (8-4)0.7197Fresno St (8-4)0.0618
53UTEP (8-3)0.7061Central Michigan (6-5)0.0617
54Rutgers (7-4)0.7005Wake Forest (4-7)0.0441
55Central Michigan (6-5)0.6849Stanford (5-6)0.0228
56Toledo (8-3)0.6841Northern Illinois (7-5)0.0180
57Oregon St (5-6)0.6837Colorado St (6-5)0.0090
58Vanderbilt (5-6)0.6829Kansas St (5-6)-0.0190
59Kansas St (5-6)0.6706Miami OH (7-4)-0.0359
60Northern Illinois (7-5)0.6608Brigham Young (6-5)-0.0570
61Oklahoma St (4-7)0.6494Indiana (4-7)-0.0586
62Colorado St (6-5)0.6492UTEP (8-3)-0.0633
63Nevada (8-3)0.6481Nevada (8-3)-0.0729
64Arkansas (4-7)0.6385Pittsburgh (5-6)-0.1057
65Brigham Young (6-5)0.6324Oregon St (5-6)-0.1079
66Pittsburgh (5-6)0.6149Navy (7-4)-0.1192
67Arizona (3-8)0.6107Arkansas (4-7)-0.1331
68Miami OH (7-4)0.6105Vanderbilt (5-6)-0.1461
69SMU (5-6)0.6048Southern Miss (6-5)-0.1515
70New Mexico (6-5)0.5951Utah (6-5)-0.1741
71Memphis (6-5)0.5938Western Michigan (7-4)-0.1779
72Houston (6-5)0.5938Akron (7-5)-0.1782
73Southern Miss (6-5)0.5874Louisiana Tech (7-4)-0.1886
74Indiana (4-7)0.5859Oklahoma St (4-7)-0.2064
75Louisiana Tech (7-4)0.5832Memphis (6-5)-0.2073
76Navy (7-4)0.5813New Mexico (6-5)-0.2196
77Utah (6-5)0.5717Houston (6-5)-0.2264
78Washington St (4-7)0.5683Bowling Green (6-5)-0.2427
79Akron (7-5)0.5538Connecticut (5-6)-0.2722
80Western Michigan (7-4)0.5527Ball St (4-7)-0.2741
81San Diego St (5-7)0.5463East Carolina (5-6)-0.3186
82Connecticut (5-6)0.5425Cincinnati (4-7)-0.3347
83Ball St (4-7)0.5185Washington St (4-7)-0.3716
84Louisiana-Lafayette (6-5)0.5139Illinois (2-9)-0.3940
85Bowling Green (6-5)0.5109SMU (5-6)-0.4199
86Cincinnati (4-7)0.5068San Diego St (5-7)-0.4381
87East Carolina (5-6)0.5066Army (4-7)-0.4602
88Kentucky (3-8)0.4948Arizona (3-8)-0.4862
89Illinois (2-9)0.4882Ohio U. (4-7)-0.4917
90Mississippi St (3-8)0.4727Hawai`i (5-7)-0.4956
91Washington (2-9)0.4687Kentucky (3-8)-0.4984
92Hawai`i (5-7)0.4685Alabama-Birmingham (5-6)-0.5810
93Army (4-7)0.4517Wyoming (4-7)-0.5976
94Alabama-Birmingham (5-6)0.4480Louisiana-Lafayette (6-5)-0.5987
95Mississippi (3-8)0.4432Mississippi St (3-8)-0.6102
96Ohio U. (4-7)0.4346Marshall (4-7)-0.6424
97Marshall (4-7)0.4218Eastern Michigan (4-7)-0.6427
98Arkansas St (6-5)0.4211Air Force (4-7)-0.6444
99Wyoming (4-7)0.4155Arkansas St (6-5)-0.7314
100Air Force (4-7)0.4135Mississippi (3-8)-0.7495
101Duke (1-10)0.4042Washington (2-9)-0.8099
102Louisiana-Monroe (5-6)0.3932Duke (1-10)-0.9282
103Eastern Michigan (4-7)0.3908Louisiana-Monroe (5-6)-1.0062
104Middle Tennessee St (4-7)0.3871Florida Int'l (5-6)-1.1017
105Florida Int'l (5-6)0.3701Syracuse (1-10)-1.1017
106Syracuse (1-10)0.3407Middle Tennessee St (4-7)-1.1345
107Rice (1-10)0.3303Troy (4-7)-1.2474
108Troy (4-7)0.3112Temple (0-11)-1.3368
109Temple (0-11)0.3103Utah St (3-8)-1.3567
110Florida Atlantic (2-9)0.2842Rice (1-10)-1.4221
111Utah St (3-8)0.2817UNLV (2-9)-1.4831
112North Texas (2-9)0.2740San Jose St (3-8)-1.4886
113UNLV (2-9)0.2717Tulane (2-9)-1.5726
114Tulane (2-9)0.2692Florida Atlantic (2-9)-1.7873
115Non-Division IA (XXX-XXX)0.2684North Texas (2-9)-1.8737
116San Jose St (3-8)0.2433Buffalo (1-10)-1.8923
117Idaho (2-9)0.2139Idaho (2-9)-1.9968
118New Mexico St (0-12)0.2011Kent St (1-10)-1.9980
119Kent St (1-10)0.1974Non-Division IA (XXX-XXX)-2.0412
120Buffalo (1-10)0.1908New Mexico St (0-12)-2.8144


GT UNC Copyright © 2005 Peter J. Mucha (mucha@unc.edu), Thomas Callaghan, Mason A. Porter

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