Relative Strength of D1, D2 and D3 in NCAA Men's Basketball

Pooling inter-divisional results from 2002-2012, these were the relative strengths of the D1, D2 and D3 divisions for 2012.

Note that the rankings only use game results up to the end of February. I'm excluding results from March and April in order to test the quality of the subsequent predictions.

str = team strength
ofs = offensive strength
dfs = defensive strength
sos = strength of schedule
n = number of teams

team strength = (offensive strength)/(defensive strength)

In basketball, win probability is roughly

$\frac{{team}^{14}}{{team}^{14} + {opponent}^{14}}$

where $$team$$ is team strength and $$opponent$$ is opponent strength.

year |  str  |  ofs  |  dfs  |  sos  |  n
------+-------+-------+-------+-------+------
2012 | 0.903 | 0.956 | 0.944 | 0.958 | 1021
(1 row)

year | div |  str  |  ofs  |  dfs  |  sos  |  n
------+-----+-------+-------+-------+-------+-----
2012 |   1 | 1.003 | 1.001 | 1.001 | 1.001 | 346
2012 |   2 | 0.902 | 0.960 | 0.939 | 0.958 | 281
2012 |   3 | 0.824 | 0.916 | 0.900 | 0.922 | 394
(3 rows)

Full 2012 rankings. Again, these do not use any game results from March or April.

rk  |        school        | div |  str  |  ofs  |  dfs  |  sos
------+----------------------+-----+-------+-------+-------+-------
1 | Ohio St.             |   1 | 1.422 | 1.179 | 0.829 | 1.062
2 | Michigan St.         |   1 | 1.389 | 1.154 | 0.831 | 1.062
3 | Kentucky             |   1 | 1.388 | 1.200 | 0.865 | 1.049
4 | Kansas               |   1 | 1.383 | 1.203 | 0.870 | 1.063
5 | Wisconsin            |   1 | 1.356 | 1.000 | 0.737 | 1.056
6 | Syracuse             |   1 | 1.347 | 1.180 | 0.876 | 1.051
7 | North Carolina       |   1 | 1.338 | 1.258 | 0.940 | 1.049
8 | Wichita St.          |   1 | 1.322 | 1.195 | 0.904 | 1.025
9 | Indiana              |   1 | 1.302 | 1.221 | 0.937 | 1.056
10 | Georgetown           |   1 | 1.294 | 1.051 | 0.812 | 1.044
11 | New Mexico           |   1 | 1.283 | 1.096 | 0.855 | 1.017
12 | Missouri             |   1 | 1.275 | 1.216 | 0.954 | 1.040
13 | Memphis              |   1 | 1.275 | 1.150 | 0.902 | 1.037
14 | Duke                 |   1 | 1.268 | 1.226 | 0.967 | 1.056
15 | Baylor               |   1 | 1.265 | 1.147 | 0.907 | 1.052
16 | St. Louis            |   1 | 1.264 | 1.026 | 0.812 | 1.026
17 | Virginia             |   1 | 1.260 | 0.974 | 0.773 | 1.029
18 | Florida              |   1 | 1.260 | 1.192 | 0.946 | 1.047
19 | Marquette            |   1 | 1.257 | 1.168 | 0.929 | 1.047
20 | Texas                |   1 | 1.242 | 1.124 | 0.905 | 1.052
21 | Purdue               |   1 | 1.241 | 1.122 | 0.904 | 1.055
22 | California           |   1 | 1.239 | 1.100 | 0.888 | 1.023
23 | Vanderbilt           |   1 | 1.224 | 1.142 | 0.934 | 1.052
24 | Louisville           |   1 | 1.223 | 1.073 | 0.878 | 1.058
25 | Kansas St.           |   1 | 1.221 | 1.096 | 0.898 | 1.049
26 | Florida St.          |   1 | 1.220 | 1.081 | 0.886 | 1.053
27 | Michigan             |   1 | 1.215 | 1.036 | 0.853 | 1.056
28 | Belmont              |   1 | 1.211 | 1.200 | 0.991 | 1.003
29 | Alabama              |   1 | 1.209 | 1.017 | 0.841 | 1.045
30 | Notre Dame           |   1 | 1.204 | 1.039 | 0.863 | 1.041
31 | UNLV                 |   1 | 1.194 | 1.164 | 0.975 | 1.029
32 | VCU                  |   1 | 1.189 | 1.063 | 0.894 | 1.014
33 | Connecticut          |   1 | 1.189 | 1.074 | 0.903 | 1.052
34 | Cincinnati           |   1 | 1.186 | 1.062 | 0.895 | 1.041
35 | Temple               |   1 | 1.185 | 1.166 | 0.984 | 1.038
36 | Iowa St.             |   1 | 1.184 | 1.130 | 0.954 | 1.049
37 | Creighton            |   1 | 1.181 | 1.203 | 1.019 | 1.027
38 | Arizona              |   1 | 1.176 | 1.071 | 0.910 | 1.024
39 | Miami (FL)           |   1 | 1.176 | 1.091 | 0.927 | 1.041
40 | Long Beach St.       |   1 | 1.174 | 1.116 | 0.951 | 1.002
41 | Gonzaga              |   1 | 1.174 | 1.094 | 0.931 | 1.019
42 | Harvard              |   1 | 1.170 | 0.989 | 0.846 | 0.997
43 | Drexel               |   1 | 1.166 | 1.001 | 0.859 | 1.002
44 | St. Marys (CA)       |   1 | 1.162 | 1.067 | 0.918 | 1.000
45 | Minnesota            |   1 | 1.160 | 1.046 | 0.902 | 1.052
46 | La Salle             |   1 | 1.159 | 1.111 | 0.959 | 1.020
47 | North Carolina St.   |   1 | 1.157 | 1.132 | 0.978 | 1.048
48 | Middle Tenn.         |   1 | 1.156 | 1.062 | 0.919 | 1.004
49 | BYU                  |   1 | 1.155 | 1.153 | 0.998 | 1.004
50 | Seton Hall           |   1 | 1.155 | 1.051 | 0.910 | 1.039
51 | San Diego St.        |   1 | 1.153 | 1.062 | 0.921 | 1.021
52 | Clemson              |   1 | 1.153 | 1.008 | 0.874 | 1.026
53 | Xavier               |   1 | 1.151 | 1.098 | 0.954 | 1.044
54 | West Virginia        |   1 | 1.151 | 1.090 | 0.947 | 1.049
55 | Murray St.           |   1 | 1.148 | 1.081 | 0.941 | 0.991
56 | UCLA                 |   1 | 1.145 | 1.061 | 0.927 | 1.024
57 | Davidson             |   1 | 1.144 | 1.142 | 0.998 | 0.998
58 | Stanford             |   1 | 1.143 | 1.038 | 0.908 | 1.023
59 | Illinois             |   1 | 1.140 | 1.027 | 0.901 | 1.054
60 | St. Josephs          |   1 | 1.140 | 1.091 | 0.957 | 1.034
61 | Georgia St.          |   1 | 1.140 | 0.998 | 0.876 | 0.995
62 | Massachusetts        |   1 | 1.140 | 1.150 | 1.009 | 1.024
63 | Cleveland St.        |   1 | 1.140 | 1.020 | 0.895 | 1.010
64 | South Fla.           |   1 | 1.138 | 0.926 | 0.814 | 1.046
65 | Northwestern         |   1 | 1.136 | 1.090 | 0.959 | 1.054
66 | Virginia Tech        |   1 | 1.135 | 1.030 | 0.907 | 1.044
67 | Wyoming              |   1 | 1.134 | 0.929 | 0.819 | 1.008
68 | Southern Miss.       |   1 | 1.133 | 1.081 | 0.954 | 1.023
69 | Colorado             |   1 | 1.133 | 1.041 | 0.919 | 1.023
70 | St. Bonaventure      |   1 | 1.133 | 1.063 | 0.938 | 1.024
71 | South Dakota St.     |   1 | 1.132 | 1.138 | 1.005 | 0.993
72 | Dayton               |   1 | 1.128 | 1.103 | 0.978 | 1.033
73 | Iona                 |   1 | 1.128 | 1.198 | 1.062 | 0.998
74 | Missouri St.         |   1 | 1.124 | 1.017 | 0.905 | 1.023
75 | Oklahoma St.         |   1 | 1.123 | 1.066 | 0.950 | 1.056
76 | Tennessee            |   1 | 1.122 | 1.027 | 0.916 | 1.037
77 | Washington           |   1 | 1.120 | 1.119 | 0.999 | 1.030
78 | Akron                |   1 | 1.117 | 1.085 | 0.971 | 1.010
79 | Marshall             |   1 | 1.117 | 1.056 | 0.945 | 1.035
80 | Denver               |   1 | 1.116 | 1.022 | 0.915 | 0.996
81 | Ohio                 |   1 | 1.115 | 1.053 | 0.944 | 1.004
82 | UNI                  |   1 | 1.115 | 0.994 | 0.892 | 1.028
83 | Oregon               |   1 | 1.114 | 1.098 | 0.985 | 1.027
84 | Texas-Arlington      |   1 | 1.108 | 1.110 | 1.001 | 0.979
85 | Villanova            |   1 | 1.107 | 1.133 | 1.023 | 1.050
86 | Illinois St.         |   1 | 1.104 | 1.025 | 0.929 | 1.021
87 | New Mexico St.       |   1 | 1.104 | 1.136 | 1.028 | 0.999
88 | Mississippi          |   1 | 1.104 | 1.028 | 0.931 | 1.035
89 | Tulsa                |   1 | 1.103 | 1.029 | 0.933 | 1.021
90 | Iowa                 |   1 | 1.103 | 1.131 | 1.025 | 1.045
91 | Pittsburgh           |   1 | 1.103 | 1.045 | 0.947 | 1.040
92 | Oregon St.           |   1 | 1.102 | 1.190 | 1.080 | 1.014
93 | Mississippi St.      |   1 | 1.102 | 1.101 | 0.999 | 1.031
94 | Wagner               |   1 | 1.100 | 1.053 | 0.957 | 0.980
95 | Oral Roberts         |   1 | 1.099 | 1.077 | 0.980 | 0.996
96 | Oklahoma             |   1 | 1.097 | 1.061 | 0.967 | 1.043
97 | Rutgers              |   1 | 1.096 | 1.032 | 0.942 | 1.039
98 | LSU                  |   1 | 1.095 | 1.005 | 0.918 | 1.033
99 | Old Dominion         |   1 | 1.094 | 0.994 | 0.908 | 1.014
100 | Buffalo              |   1 | 1.094 | 1.076 | 0.984 | 1.004
101 | Mercer               |   1 | 1.090 | 1.004 | 0.921 | 0.999
102 | Lehigh               |   1 | 1.090 | 1.096 | 1.006 | 0.981
103 | Colorado St.         |   1 | 1.088 | 1.082 | 0.994 | 1.034
104 | Washington St.       |   1 | 1.088 | 1.066 | 0.980 | 1.015
105 | Richmond             |   1 | 1.088 | 1.045 | 0.961 | 1.027
106 | Arkansas             |   1 | 1.085 | 1.116 | 1.028 | 1.024
107 | George Mason         |   1 | 1.085 | 1.066 | 0.982 | 1.004
108 | Bucknell             |   1 | 1.085 | 1.013 | 0.933 | 0.988
109 | Texas A&M            |   1 | 1.082 | 0.938 | 0.867 | 1.040
110 | Kent St.             |   1 | 1.080 | 1.074 | 0.994 | 1.002
111 | Montana              |   1 | 1.080 | 0.987 | 0.914 | 0.983
112 | Nevada               |   1 | 1.078 | 1.039 | 0.964 | 0.995
113 | Georgia              |   1 | 1.076 | 0.985 | 0.915 | 1.050
114 | UCF                  |   1 | 1.073 | 0.999 | 0.931 | 1.019
115 | Providence           |   1 | 1.073 | 1.081 | 1.007 | 1.030
116 | Manhattan            |   1 | 1.072 | 1.030 | 0.961 | 0.983
117 | Lamar                |   1 | 1.067 | 1.069 | 1.002 | 0.989
118 | Fairfield            |   1 | 1.064 | 0.984 | 0.925 | 1.002
119 | Princeton            |   1 | 1.064 | 1.010 | 0.949 | 0.994
120 | Bowling Green        |   1 | 1.063 | 1.008 | 0.949 | 1.008
121 | Duquesne             |   1 | 1.062 | 1.069 | 1.007 | 1.030
122 | Evansville           |   1 | 1.062 | 1.103 | 1.039 | 1.021
123 | Penn St.             |   1 | 1.062 | 0.988 | 0.930 | 1.053
124 | Stephen F. Austin    |   1 | 1.060 | 0.893 | 0.843 | 0.967
125 | Bellarmine           |   2 | 1.059 | 1.137 | 1.074 | 0.944
126 | Butler               |   1 | 1.059 | 0.972 | 0.917 | 1.011
127 | UNC Asheville        |   1 | 1.058 | 1.136 | 1.074 | 0.985
128 | Milwaukee            |   1 | 1.057 | 0.976 | 0.924 | 1.005
129 | Stony Brook          |   1 | 1.051 | 0.965 | 0.918 | 0.967
130 | Detroit              |   1 | 1.051 | 1.078 | 1.026 | 1.008
131 | UC Santa Barbara     |   1 | 1.051 | 1.054 | 1.003 | 0.993
132 | Rice                 |   1 | 1.048 | 1.030 | 0.983 | 1.001
133 | UAB                  |   1 | 1.047 | 0.919 | 0.877 | 1.028
134 | TCU                  |   1 | 1.044 | 1.104 | 1.057 | 1.024
135 | Valparaiso           |   1 | 1.044 | 1.043 | 0.999 | 1.010
136 | Robert Morris        |   1 | 1.044 | 0.996 | 0.954 | 0.987
137 | Vermont              |   1 | 1.042 | 0.992 | 0.952 | 0.980
138 | Drake                |   1 | 1.041 | 1.022 | 0.982 | 1.019
139 | Weber St.            |   1 | 1.041 | 1.087 | 1.044 | 0.982
140 | Maryland             |   1 | 1.040 | 1.052 | 1.012 | 1.042
141 | Penn                 |   1 | 1.040 | 0.994 | 0.956 | 1.011
142 | Utah St.             |   1 | 1.039 | 0.982 | 0.945 | 1.001
143 | South Carolina       |   1 | 1.038 | 0.963 | 0.928 | 1.040
144 | Charlotte            |   1 | 1.037 | 1.021 | 0.985 | 1.025
145 | Boise St.            |   1 | 1.037 | 1.023 | 0.987 | 1.014
146 | Loyola Maryland      |   1 | 1.034 | 0.992 | 0.959 | 0.993
147 | S.C. Upstate         |   1 | 1.032 | 1.036 | 1.003 | 0.997
148 | Delaware             |   1 | 1.032 | 1.051 | 1.019 | 1.000
149 | Auburn               |   1 | 1.032 | 0.954 | 0.925 | 1.025
150 | Quinnipiac           |   1 | 1.030 | 1.023 | 0.994 | 0.979
151 | Indiana St.          |   1 | 1.030 | 0.983 | 0.955 | 1.019
152 | North Texas          |   1 | 1.030 | 1.038 | 1.008 | 0.985
153 | St. Johns (NY)       |   1 | 1.029 | 1.041 | 1.011 | 1.045
154 | Nebraska             |   1 | 1.029 | 0.945 | 0.919 | 1.055
155 | Yale                 |   1 | 1.027 | 1.014 | 0.987 | 0.979
156 | Col. of Charleston   |   1 | 1.027 | 1.032 | 1.005 | 0.996
157 | East Tenn. St.       |   1 | 1.026 | 0.979 | 0.954 | 1.000
158 | UTEP                 |   1 | 1.026 | 0.956 | 0.932 | 1.021
159 | Cal St. Fullerton    |   1 | 1.023 | 1.105 | 1.080 | 0.966
160 | Youngstown St.       |   1 | 1.023 | 1.020 | 0.997 | 0.995
161 | Northern Ky.         |   2 | 1.023 | 1.017 | 0.995 | 0.937
162 | East Carolina        |   1 | 1.021 | 1.017 | 0.996 | 1.015
163 | Oakland              |   1 | 1.018 | 1.179 | 1.158 | 1.003
164 | Georgia Tech         |   1 | 1.016 | 0.942 | 0.927 | 1.031
165 | Loyola Marymount     |   1 | 1.015 | 1.013 | 0.998 | 1.007
166 | Idaho                |   1 | 1.014 | 0.989 | 0.975 | 0.998
167 | UTSA                 |   1 | 1.014 | 1.036 | 1.022 | 0.983
168 | Charleston So.       |   1 | 1.011 | 1.090 | 1.078 | 0.984
169 | Coastal Caro.        |   1 | 1.011 | 1.004 | 0.993 | 0.972
170 | Tulane               |   1 | 1.010 | 0.967 | 0.957 | 0.984
171 | North Dakota St.     |   1 | 1.010 | 1.044 | 1.034 | 0.988
172 | George Washington    |   1 | 1.009 | 0.964 | 0.955 | 1.035
173 | San Francisco        |   1 | 1.009 | 1.083 | 1.073 | 0.990
174 | DePaul               |   1 | 1.008 | 1.144 | 1.135 | 1.029
175 | Air Force            |   1 | 1.006 | 0.921 | 0.915 | 1.014
176 | American             |   1 | 1.005 | 0.944 | 0.939 | 0.981
177 | Cal Poly             |   1 | 1.005 | 0.927 | 0.923 | 0.976
178 | Wake Forest          |   1 | 1.000 | 1.010 | 1.010 | 1.030
179 | Green Bay            |   1 | 0.999 | 1.002 | 1.003 | 1.010
180 | Fresno St.           |   1 | 0.998 | 0.959 | 0.961 | 0.997
181 | Columbia             |   1 | 0.996 | 0.946 | 0.950 | 0.983
182 | Western Mich.        |   1 | 0.996 | 1.016 | 1.020 | 1.004
183 | Wofford              |   1 | 0.992 | 0.937 | 0.944 | 0.983
184 | Long Island          |   1 | 0.992 | 1.178 | 1.188 | 0.985
185 | Savannah St.         |   1 | 0.992 | 0.897 | 0.905 | 0.975
186 | Tennessee St.        |   1 | 0.991 | 0.998 | 1.008 | 0.988
187 | Houston              |   1 | 0.991 | 1.054 | 1.064 | 1.007
188 | Northeastern         |   1 | 0.990 | 0.970 | 0.981 | 1.010
189 | West Liberty         |   2 | 0.989 | 1.265 | 1.279 | 0.914
190 | Fla. Atlantic        |   1 | 0.988 | 0.964 | 0.976 | 1.010
191 | UALR                 |   1 | 0.985 | 0.952 | 0.966 | 1.007
192 | SMU                  |   1 | 0.985 | 0.885 | 0.898 | 1.010
193 | Miami (OH)           |   1 | 0.984 | 0.931 | 0.947 | 1.014
194 | Boston U.            |   1 | 0.983 | 0.953 | 0.970 | 0.986
195 | La.-Lafayette        |   1 | 0.982 | 1.000 | 1.018 | 0.993
196 | Ball St.             |   1 | 0.982 | 0.938 | 0.955 | 0.980
197 | Tennessee Tech       |   1 | 0.981 | 1.047 | 1.068 | 0.992
198 | Fla. Gulf Coast      |   1 | 0.981 | 1.046 | 1.067 | 0.999
199 | Hofstra              |   1 | 0.979 | 0.975 | 0.997 | 1.007
200 | Western Ill.         |   1 | 0.976 | 0.865 | 0.886 | 0.980
201 | Lipscomb             |   1 | 0.975 | 1.042 | 1.069 | 0.997
202 | Campbell             |   1 | 0.974 | 1.055 | 1.083 | 0.977
203 | IUPUI                |   1 | 0.973 | 1.059 | 1.088 | 0.994
204 | Jacksonville St.     |   1 | 0.971 | 0.933 | 0.961 | 0.974
205 | Central Conn. St.    |   1 | 0.971 | 1.006 | 1.036 | 0.984
206 | Midwestern St.       |   2 | 0.968 | 0.972 | 1.004 | 0.929
207 | Louisiana Tech       |   1 | 0.968 | 1.015 | 1.048 | 0.993
208 | Eastern Wash.        |   1 | 0.966 | 1.022 | 1.058 | 0.973
209 | Morehead St.         |   1 | 0.966 | 0.899 | 0.930 | 0.982
210 | North Florida        |   1 | 0.965 | 1.007 | 1.043 | 1.004
211 | Western Ky.          |   1 | 0.963 | 0.987 | 1.025 | 1.011
212 | Austin Peay          |   1 | 0.963 | 1.032 | 1.073 | 1.006
213 | South Ala.           |   1 | 0.962 | 0.979 | 1.017 | 0.994
214 | Texas Tech           |   1 | 0.961 | 0.926 | 0.964 | 1.041
215 | Cornell              |   1 | 0.961 | 0.996 | 1.037 | 1.001
216 | St. Francis (NY)     |   1 | 0.961 | 0.986 | 1.026 | 0.974
217 | Toledo               |   1 | 0.958 | 0.999 | 1.043 | 0.986
218 | High Point           |   1 | 0.958 | 1.022 | 1.066 | 0.990
219 | Ky. Wesleyan         |   2 | 0.958 | 1.047 | 1.092 | 0.945
220 | Washburn             |   2 | 0.958 | 0.960 | 1.003 | 0.918
221 | Portland St.         |   1 | 0.958 | 1.075 | 1.122 | 0.974
222 | Southern Ill.        |   1 | 0.957 | 0.946 | 0.989 | 1.024
223 | Tarleton St.         |   2 | 0.957 | 0.909 | 0.950 | 0.931
224 | James Madison        |   1 | 0.956 | 1.005 | 1.052 | 1.000
225 | Southern California  |   1 | 0.955 | 0.830 | 0.869 | 1.038
226 | Rider                |   1 | 0.954 | 1.056 | 1.106 | 0.996
227 | Albany (NY)          |   1 | 0.954 | 1.053 | 1.104 | 0.970
228 | Rhode Island         |   1 | 0.953 | 1.042 | 1.094 | 1.027
229 | Winona St.           |   2 | 0.952 | 1.000 | 1.050 | 0.905
230 | UNC Wilmington       |   1 | 0.951 | 1.003 | 1.055 | 1.015
231 | Hawaii               |   1 | 0.951 | 1.080 | 1.135 | 0.989
232 | Lafayette            |   1 | 0.950 | 1.034 | 1.089 | 0.989
233 | N.C. Central         |   1 | 0.950 | 0.959 | 1.010 | 0.970
234 | Wright St.           |   1 | 0.950 | 0.877 | 0.923 | 1.007
235 | Delaware St.         |   1 | 0.950 | 0.939 | 0.989 | 0.959
236 | FIU                  |   1 | 0.949 | 0.953 | 1.004 | 1.002
237 | Sacred Heart         |   1 | 0.949 | 1.034 | 1.089 | 0.980
238 | Lewis                |   2 | 0.949 | 0.964 | 1.016 | 0.954
239 | Southern Ind.        |   2 | 0.947 | 0.891 | 0.941 | 0.950
240 | Utah Valley          |   1 | 0.946 | 0.977 | 1.033 | 0.966
241 | Ga. Southern         |   1 | 0.943 | 0.974 | 1.033 | 0.988
242 | Mississippi Val.     |   1 | 0.942 | 1.014 | 1.076 | 0.962
243 | Southeast Mo. St.    |   1 | 0.942 | 1.013 | 1.076 | 0.975
244 | McNeese St.          |   1 | 0.942 | 0.948 | 1.007 | 0.983
245 | Furman               |   1 | 0.942 | 0.932 | 0.990 | 0.985
246 | Arkansas St.         |   1 | 0.942 | 0.922 | 0.978 | 1.005
247 | Siena                |   1 | 0.942 | 0.921 | 0.979 | 0.992
248 | San Diego            |   1 | 0.941 | 0.995 | 1.057 | 0.998
249 | Presbyterian         |   1 | 0.941 | 0.923 | 0.980 | 0.986
250 | Norfolk St.          |   1 | 0.940 | 0.991 | 1.055 | 0.975
251 | Seattle              |   1 | 0.939 | 1.079 | 1.149 | 0.984
252 | Chattanooga          |   1 | 0.939 | 0.996 | 1.061 | 0.983
253 | Appalachian St.      |   1 | 0.938 | 0.992 | 1.058 | 0.987
254 | Northwestern St.     |   1 | 0.938 | 1.002 | 1.068 | 0.981
255 | Winthrop             |   1 | 0.935 | 0.896 | 0.959 | 0.994
256 | Boston College       |   1 | 0.935 | 0.919 | 0.982 | 1.036
257 | West Va. Wesleyan    |   2 | 0.935 | 0.933 | 0.998 | 0.910
258 | Niagara              |   1 | 0.934 | 1.034 | 1.108 | 0.993
259 | Jacksonville         |   1 | 0.934 | 0.986 | 1.056 | 1.011
260 | Arizona St.          |   1 | 0.933 | 0.921 | 0.988 | 1.024
261 | Cal St. Bakersfield  |   1 | 0.933 | 0.979 | 1.049 | 0.973
262 | Hillsdale            |   2 | 0.932 | 0.947 | 1.016 | 0.921
263 | Stetson              |   1 | 0.932 | 1.056 | 1.133 | 1.004
264 | Texas St.            |   1 | 0.931 | 1.067 | 1.146 | 0.971
265 | Gardner-Webb         |   1 | 0.931 | 0.929 | 0.998 | 0.981
266 | Holy Cross           |   1 | 0.930 | 0.942 | 1.013 | 0.987
267 | Southern Utah        |   1 | 0.929 | 0.910 | 0.980 | 0.986
268 | Coppin St.           |   1 | 0.929 | 1.078 | 1.160 | 0.967
269 | Elon                 |   1 | 0.928 | 1.001 | 1.078 | 0.980
270 | Seattle Pacific      |   2 | 0.926 | 0.897 | 0.969 | 0.907
271 | Stonehill            |   2 | 0.926 | 0.892 | 0.963 | 0.918
272 | Bradley              |   1 | 0.922 | 0.962 | 1.044 | 1.029
273 | Western Caro.        |   1 | 0.922 | 0.984 | 1.068 | 0.990
274 | Indianapolis         |   2 | 0.922 | 1.042 | 1.130 | 0.944
275 | Troy                 |   1 | 0.921 | 1.052 | 1.143 | 0.997
276 | UC Irvine            |   1 | 0.920 | 0.993 | 1.079 | 0.997
277 | Eastern Mich.        |   1 | 0.920 | 0.819 | 0.889 | 0.995
278 | Northern Colo.       |   1 | 0.920 | 1.049 | 1.140 | 0.991
279 | Morgan St.           |   1 | 0.919 | 0.965 | 1.051 | 0.977
280 | Findlay              |   2 | 0.919 | 1.003 | 1.092 | 0.926
281 | West Tex. A&M        |   2 | 0.917 | 0.895 | 0.976 | 0.913
282 | Franklin Pierce      |   2 | 0.915 | 0.956 | 1.045 | 0.910
283 | Eastern Ky.          |   1 | 0.915 | 0.945 | 1.032 | 0.976
284 | Marist               |   1 | 0.914 | 1.002 | 1.097 | 0.989
285 | Fordham              |   1 | 0.913 | 0.939 | 1.029 | 1.020
286 | Liberty              |   1 | 0.912 | 0.976 | 1.070 | 0.984
287 | Maine                |   1 | 0.910 | 0.987 | 1.084 | 0.970
288 | Samford              |   1 | 0.910 | 0.945 | 1.038 | 0.995
289 | VMI                  |   1 | 0.909 | 1.106 | 1.217 | 0.983
290 | Cal St. Chico        |   2 | 0.906 | 0.895 | 0.988 | 0.913
291 | Pacific              |   1 | 0.906 | 0.917 | 1.012 | 0.980
292 | North Dakota         |   1 | 0.905 | 0.953 | 1.053 | 0.972
293 | Lincoln Memorial     |   2 | 0.905 | 0.969 | 1.071 | 0.889
294 | Monmouth             |   1 | 0.905 | 0.997 | 1.102 | 0.992
295 | Loyola (IL)          |   1 | 0.905 | 0.861 | 0.951 | 0.994
296 | Wayne St. (MI)       |   2 | 0.904 | 0.937 | 1.037 | 0.924
297 | Sam Houston St.      |   1 | 0.903 | 0.838 | 0.927 | 0.993
298 | Alas. Anchorage      |   2 | 0.901 | 0.943 | 1.048 | 0.926
299 | UNC Greensboro       |   1 | 0.901 | 1.032 | 1.145 | 0.995
300 | Arkansas Tech        |   2 | 0.900 | 0.996 | 1.107 | 0.920
301 | Central Mich.        |   1 | 0.900 | 0.931 | 1.035 | 0.993
302 | Charleston (WV)      |   2 | 0.899 | 0.998 | 1.110 | 0.899
303 | IPFW                 |   1 | 0.899 | 0.992 | 1.103 | 0.989
304 | Shaw                 |   2 | 0.898 | 1.033 | 1.150 | 0.907
305 | Hampton              |   1 | 0.897 | 0.938 | 1.046 | 0.967
306 | Texas Southern       |   1 | 0.897 | 0.897 | 1.000 | 0.958
307 | Cal Poly Pomona      |   2 | 0.896 | 0.846 | 0.944 | 0.914
308 | Colorado Mines       |   2 | 0.896 | 0.950 | 1.060 | 0.883
309 | Central Mo.          |   2 | 0.896 | 0.990 | 1.105 | 0.912
310 | Northwest Mo. St.    |   2 | 0.896 | 0.952 | 1.061 | 0.916
311 | UC Riverside         |   1 | 0.895 | 0.860 | 0.961 | 0.982
312 | Army                 |   1 | 0.895 | 0.968 | 1.081 | 0.964
313 | Bethune-Cookman      |   1 | 0.894 | 0.919 | 1.028 | 0.969
314 | William & Mary       |   1 | 0.894 | 0.923 | 1.032 | 1.003
315 | South Dakota         |   1 | 0.894 | 0.997 | 1.115 | 0.987
316 | Dartmouth            |   1 | 0.894 | 0.861 | 0.964 | 0.988
317 | Ill.-Chicago         |   1 | 0.892 | 0.938 | 1.051 | 0.999
318 | Ala.-Huntsville      |   2 | 0.892 | 1.005 | 1.126 | 0.896
319 | S.C. Aiken           |   2 | 0.892 | 0.987 | 1.106 | 0.906
320 | New Hampshire        |   1 | 0.890 | 0.884 | 0.994 | 0.960
321 | Pepperdine           |   1 | 0.890 | 0.857 | 0.962 | 0.992
322 | Santa Clara          |   1 | 0.888 | 1.001 | 1.128 | 1.004
323 | NJIT                 |   1 | 0.888 | 0.931 | 1.048 | 0.939
324 | San Jose St.         |   1 | 0.887 | 0.965 | 1.088 | 0.995
325 | Mo. Southern St.     |   2 | 0.887 | 1.063 | 1.198 | 0.915
326 | Sacramento St.       |   1 | 0.884 | 0.941 | 1.064 | 0.971
327 | Southwest Minn. St.  |   2 | 0.883 | 1.013 | 1.147 | 0.926
328 | Drury                |   2 | 0.883 | 0.971 | 1.100 | 0.914
329 | Portland             |   1 | 0.880 | 0.974 | 1.106 | 1.014
330 | Central Okla.        |   2 | 0.879 | 0.963 | 1.095 | 0.922
331 | Montana St.          |   1 | 0.879 | 0.965 | 1.098 | 0.968
332 | Northwood (MI)       |   2 | 0.878 | 0.972 | 1.107 | 0.912
333 | Western Wash.        |   2 | 0.877 | 1.045 | 1.191 | 0.918
334 | UMKC                 |   1 | 0.876 | 0.926 | 1.057 | 0.994
335 | Augustana (SD)       |   2 | 0.874 | 0.979 | 1.121 | 0.911
336 | N.C. A&T             |   1 | 0.874 | 0.974 | 1.114 | 0.975
337 | Bemidji St.          |   2 | 0.874 | 0.964 | 1.103 | 0.909
338 | Mt. St. Marys        |   1 | 0.873 | 0.878 | 1.006 | 0.984
339 | Wheeling Jesuit      |   2 | 0.873 | 1.074 | 1.230 | 0.910
340 | Christian Bros.      |   2 | 0.872 | 0.917 | 1.051 | 0.908
341 | Indiana (PA)         |   2 | 0.872 | 0.877 | 1.005 | 0.901
342 | MIT                  |   3 | 0.871 | 0.901 | 1.035 | 0.844
343 | Wis.-Whitewater      |   3 | 0.871 | 0.895 | 1.027 | 0.870
344 | Montevallo           |   2 | 0.868 | 0.915 | 1.053 | 0.909
345 | Mo.-St. Louis        |   2 | 0.866 | 0.959 | 1.108 | 0.912
346 | Dist. Columbia       |   2 | 0.866 | 1.031 | 1.190 | 0.888
347 | A&M-Corpus Christi   |   1 | 0.866 | 0.887 | 1.024 | 0.993
348 | Eastern Ill.         |   1 | 0.865 | 0.917 | 1.060 | 0.960
349 | Incarnate Word       |   2 | 0.864 | 0.940 | 1.088 | 0.928
350 | Bowie St.            |   2 | 0.860 | 1.026 | 1.193 | 0.901
351 | Quincy               |   2 | 0.860 | 0.906 | 1.053 | 0.913
352 | St. Cloud St.        |   2 | 0.859 | 0.969 | 1.128 | 0.915
353 | Mass.-Lowell         |   2 | 0.859 | 0.976 | 1.136 | 0.919
354 | Radford              |   1 | 0.858 | 0.883 | 1.029 | 0.988
355 | C.W. Post            |   2 | 0.858 | 1.062 | 1.239 | 0.881
356 | Wheaton (IL)         |   3 | 0.856 | 0.909 | 1.062 | 0.862
357 | Cal St. Northridge   |   1 | 0.856 | 0.975 | 1.139 | 0.987
358 | Metro St.            |   2 | 0.855 | 0.918 | 1.074 | 0.888
359 | Idaho St.            |   1 | 0.854 | 0.946 | 1.108 | 0.980
360 | St. Marys (TX)       |   2 | 0.854 | 0.935 | 1.095 | 0.905
361 | Alderson-Broaddus    |   2 | 0.854 | 0.922 | 1.080 | 0.910
362 | St. Francis (PA)     |   1 | 0.853 | 0.886 | 1.039 | 0.990
363 | Kutztown             |   2 | 0.852 | 1.038 | 1.218 | 0.890
364 | Utah                 |   1 | 0.852 | 0.840 | 0.985 | 1.031
365 | Southeastern La.     |   1 | 0.852 | 0.828 | 0.971 | 0.973
366 | Elizabeth City St.   |   2 | 0.852 | 0.910 | 1.067 | 0.912
367 | Gannon               |   2 | 0.851 | 0.972 | 1.142 | 0.896
368 | Humboldt St.         |   2 | 0.851 | 0.979 | 1.150 | 0.922
369 | St. Leo              |   2 | 0.850 | 0.826 | 0.971 | 0.902
370 | Cal St. San Bdino    |   2 | 0.850 | 0.914 | 1.076 | 0.918
371 | Howard               |   1 | 0.849 | 0.887 | 1.045 | 0.985
372 | Cal St. L.A.         |   2 | 0.849 | 0.876 | 1.032 | 0.918
373 | Cameron              |   2 | 0.848 | 0.899 | 1.060 | 0.931
374 | Michigan Tech        |   2 | 0.848 | 0.926 | 1.093 | 0.917
375 | Adelphi              |   2 | 0.848 | 0.855 | 1.008 | 0.914
376 | Middlebury           |   3 | 0.847 | 0.935 | 1.104 | 0.842
377 | Wingate              |   2 | 0.847 | 0.892 | 1.053 | 0.898
378 | Eckerd               |   2 | 0.847 | 0.939 | 1.108 | 0.902
379 | Grand Canyon         |   2 | 0.846 | 0.930 | 1.100 | 0.895
380 | Mont. St. Billings   |   2 | 0.846 | 1.048 | 1.239 | 0.915
381 | Augusta St.          |   2 | 0.846 | 0.870 | 1.028 | 0.908
382 | Tex.-Pan American    |   1 | 0.846 | 0.877 | 1.036 | 0.974
383 | Wis.-River Falls     |   3 | 0.845 | 0.946 | 1.120 | 0.868
384 | Brown                |   1 | 0.845 | 0.905 | 1.072 | 0.989
385 | Hartford             |   1 | 0.845 | 0.879 | 1.040 | 0.974
386 | SIU Edwardsville     |   1 | 0.843 | 0.934 | 1.108 | 0.977
387 | Mount Olive          |   2 | 0.843 | 0.993 | 1.178 | 0.895
388 | California (PA)      |   2 | 0.842 | 0.900 | 1.068 | 0.900
389 | Sonoma St.           |   2 | 0.841 | 0.964 | 1.146 | 0.916
390 | King (TN)            |   2 | 0.841 | 0.957 | 1.138 | 0.892
391 | Fort Hays St.        |   2 | 0.840 | 0.884 | 1.053 | 0.920
392 | Anderson (SC)        |   2 | 0.839 | 0.957 | 1.141 | 0.892
393 | Western Ore.         |   2 | 0.839 | 0.887 | 1.056 | 0.916
394 | Southwest Baptist    |   2 | 0.839 | 0.996 | 1.187 | 0.915
395 | Bloomfield           |   2 | 0.838 | 0.957 | 1.142 | 0.899
396 | Philadelphia U.      |   2 | 0.838 | 0.895 | 1.067 | 0.895
397 | Colgate              |   1 | 0.838 | 0.948 | 1.131 | 0.986
398 | Central St. (OH)     |   2 | 0.837 | 0.948 | 1.133 | 0.887
399 | East Stroudsburg     |   2 | 0.837 | 0.986 | 1.177 | 0.901
400 | Barton               |   2 | 0.837 | 1.023 | 1.221 | 0.895
401 | Canisius             |   1 | 0.837 | 0.940 | 1.124 | 0.982
402 | Ark.-Monticello      |   2 | 0.836 | 0.998 | 1.193 | 0.901
403 | Amherst              |   3 | 0.835 | 0.981 | 1.175 | 0.855
404 | Cal St. Stanislaus   |   2 | 0.835 | 0.979 | 1.172 | 0.917
405 | Mercyhurst           |   2 | 0.834 | 0.932 | 1.117 | 0.899
406 | Merrimack            |   2 | 0.833 | 0.911 | 1.094 | 0.919
407 | La.-Monroe           |   1 | 0.833 | 0.894 | 1.073 | 0.996
408 | Fla. Southern        |   2 | 0.833 | 1.054 | 1.265 | 0.901
409 | Va. Wesleyan         |   3 | 0.832 | 0.950 | 1.141 | 0.849
410 | Citadel              |   1 | 0.831 | 0.883 | 1.062 | 0.991
411 | Slippery Rock        |   2 | 0.831 | 0.884 | 1.064 | 0.893
412 | Cal St. Dom. Hills   |   2 | 0.831 | 0.831 | 1.000 | 0.921
413 | Florida Tech         |   2 | 0.831 | 0.977 | 1.176 | 0.898
414 | Southwestern Okla.   |   2 | 0.831 | 0.942 | 1.134 | 0.906
415 | Columbus St.         |   2 | 0.831 | 0.909 | 1.094 | 0.911
416 | Augustana (IL)       |   3 | 0.830 | 0.860 | 1.036 | 0.851
417 | West Ga.             |   2 | 0.830 | 0.901 | 1.086 | 0.889
418 | Houston Baptist      |   1 | 0.830 | 0.991 | 1.194 | 0.975
419 | Georgia College      |   2 | 0.830 | 0.827 | 0.996 | 0.910
420 | St. Peters           |   1 | 0.830 | 0.844 | 1.017 | 0.995
421 | Alabama St.          |   1 | 0.829 | 0.853 | 1.029 | 0.952
422 | UNC Pembroke         |   2 | 0.829 | 0.959 | 1.157 | 0.909
423 | Newman               |   2 | 0.828 | 0.920 | 1.111 | 0.897
424 | Ferris St.           |   2 | 0.827 | 0.879 | 1.064 | 0.911
425 | Tex. A&M Intl        |   2 | 0.827 | 0.887 | 1.073 | 0.903
426 | Southern U.          |   1 | 0.827 | 0.871 | 1.052 | 0.936
427 | Rhode Island Col.    |   3 | 0.827 | 0.865 | 1.046 | 0.860
428 | Florida A&M          |   1 | 0.826 | 0.969 | 1.173 | 0.974
429 | Kennesaw St.         |   1 | 0.826 | 0.907 | 1.097 | 1.008
430 | West Chester         |   2 | 0.826 | 0.963 | 1.166 | 0.898
431 | Navy                 |   1 | 0.826 | 0.834 | 1.009 | 0.980
432 | Md.-East. Shore      |   1 | 0.825 | 0.888 | 1.077 | 0.978
433 | Grand Valley St.     |   2 | 0.825 | 0.833 | 1.009 | 0.918
434 | Queens (NC)          |   2 | 0.825 | 0.926 | 1.123 | 0.895
435 | Johnson C. Smith     |   2 | 0.823 | 0.985 | 1.197 | 0.916
436 | West Fla.            |   2 | 0.823 | 0.978 | 1.188 | 0.901
437 | Pittsburg St.        |   2 | 0.823 | 0.940 | 1.142 | 0.923
438 | Clayton St.          |   2 | 0.823 | 0.917 | 1.114 | 0.913
439 | Minn. St. Moorhead   |   2 | 0.823 | 0.940 | 1.142 | 0.916
440 | Concord              |   2 | 0.823 | 1.004 | 1.220 | 0.901
441 | Pace                 |   2 | 0.822 | 0.861 | 1.048 | 0.904
442 | Eastern N.M.         |   2 | 0.822 | 0.947 | 1.152 | 0.922
443 | Dallas Baptist       |   2 | 0.822 | 0.972 | 1.182 | 0.890
444 | New Haven            |   2 | 0.821 | 0.852 | 1.038 | 0.902
445 | North Central (IL)   |   3 | 0.821 | 0.883 | 1.076 | 0.861
446 | Central Ark.         |   1 | 0.820 | 1.005 | 1.226 | 0.977
447 | Coker                |   2 | 0.820 | 0.880 | 1.073 | 0.900
448 | Bloomsburg           |   2 | 0.820 | 0.916 | 1.117 | 0.897
449 | UC Davis             |   1 | 0.820 | 0.913 | 1.113 | 0.983
450 | St. Anselm           |   2 | 0.819 | 0.907 | 1.108 | 0.918
451 | Bentley              |   2 | 0.819 | 0.934 | 1.141 | 0.915
452 | Winston-Salem        |   2 | 0.819 | 0.861 | 1.051 | 0.911
453 | Dixie St.            |   2 | 0.819 | 0.944 | 1.152 | 0.891
454 | Eastern Conn. St.    |   3 | 0.816 | 0.867 | 1.063 | 0.847
455 | Northern St.         |   2 | 0.815 | 0.932 | 1.144 | 0.902
456 | Tex. A&M-Kingsville  |   2 | 0.814 | 0.933 | 1.147 | 0.922
457 | Prairie View         |   1 | 0.814 | 0.863 | 1.060 | 0.947
458 | Wis.-Stevens Point   |   3 | 0.814 | 0.921 | 1.132 | 0.877
459 | Mesa St.             |   2 | 0.812 | 0.859 | 1.057 | 0.891
460 | Neb.-Omaha           |   1 | 0.812 | 1.003 | 1.235 | 0.976
461 | Fairleigh Dickinson  |   1 | 0.812 | 0.882 | 1.086 | 0.984
462 | Ark.-Pine Bluff      |   1 | 0.811 | 0.906 | 1.118 | 0.959
463 | Lander               |   2 | 0.811 | 0.980 | 1.209 | 0.905
464 | Ill. Wesleyan        |   3 | 0.811 | 0.945 | 1.166 | 0.867
465 | Abilene Christian    |   2 | 0.809 | 0.940 | 1.162 | 0.924
466 | Harding              |   2 | 0.809 | 0.931 | 1.151 | 0.912
467 | Hampden-Sydney       |   3 | 0.809 | 0.991 | 1.224 | 0.842
468 | Virginia Union       |   2 | 0.808 | 0.984 | 1.218 | 0.912
469 | Adams St.            |   2 | 0.808 | 0.964 | 1.192 | 0.883
470 | Bryant               |   1 | 0.807 | 0.907 | 1.124 | 0.988
471 | Dominican (NY)       |   2 | 0.806 | 0.891 | 1.106 | 0.880
472 | Nicholls St.         |   1 | 0.806 | 0.949 | 1.178 | 0.988
473 | Ill.-Springfield     |   2 | 0.805 | 0.956 | 1.188 | 0.922
474 | Minn. Duluth         |   2 | 0.804 | 1.059 | 1.318 | 0.913
475 | Southern Conn. St.   |   2 | 0.803 | 0.986 | 1.228 | 0.911
476 | Wooster              |   3 | 0.802 | 0.918 | 1.145 | 0.849
477 | UT Martin            |   1 | 0.802 | 0.909 | 1.135 | 0.990
478 | Jackson St.          |   1 | 0.801 | 0.827 | 1.033 | 0.967
479 | Pitt.-Johnstown      |   2 | 0.801 | 0.986 | 1.231 | 0.909
480 | Keene St.            |   3 | 0.800 | 0.991 | 1.239 | 0.856
481 | Wis.-Parkside        |   2 | 0.800 | 0.953 | 1.191 | 0.955
482 | Lynn                 |   2 | 0.799 | 0.886 | 1.109 | 0.893
483 | Nova Southeastern    |   2 | 0.798 | 0.898 | 1.126 | 0.902
484 | Whitworth            |   3 | 0.798 | 0.947 | 1.187 | 0.844
485 | WPI                  |   3 | 0.797 | 0.903 | 1.133 | 0.854
486 | Hope                 |   3 | 0.796 | 0.949 | 1.193 | 0.842
487 | Henderson St.        |   2 | 0.796 | 1.004 | 1.261 | 0.897
488 | Le Moyne             |   2 | 0.796 | 0.912 | 1.145 | 0.908
489 | BYU-Hawaii           |   2 | 0.795 | 0.936 | 1.177 | 0.903
490 | St. Josephs (IN)     |   2 | 0.795 | 0.977 | 1.229 | 0.954
491 | Fort Lewis           |   2 | 0.795 | 0.883 | 1.111 | 0.888
492 | Ashland              |   2 | 0.795 | 0.930 | 1.170 | 0.916
493 | Longwood             |   1 | 0.794 | 1.010 | 1.272 | 0.969
494 | Assumption           |   2 | 0.794 | 0.901 | 1.135 | 0.911
495 | Bridgeport           |   2 | 0.794 | 0.955 | 1.203 | 0.886
496 | Southern N.H.        |   2 | 0.792 | 0.888 | 1.120 | 0.911
497 | Cal St. East Bay     |   2 | 0.790 | 0.998 | 1.264 | 0.913
498 | Northern Ariz.       |   1 | 0.790 | 0.861 | 1.090 | 0.982
499 | Francis Marion       |   2 | 0.790 | 1.009 | 1.278 | 0.907
500 | St. Augustines       |   2 | 0.788 | 0.851 | 1.080 | 0.908
501 | Northern Ill.        |   1 | 0.788 | 0.818 | 1.038 | 0.994
502 | Towson               |   1 | 0.786 | 0.792 | 1.008 | 1.025
503 | Alabama A&M          |   1 | 0.786 | 0.889 | 1.132 | 0.945
504 | Goldey-Beacom        |   2 | 0.785 | 0.913 | 1.162 | 0.889
505 | St. Rose             |   2 | 0.785 | 0.883 | 1.125 | 0.912
506 | Shepherd             |   2 | 0.785 | 0.921 | 1.173 | 0.912
507 | Chicago St.          |   1 | 0.784 | 0.908 | 1.159 | 0.989
508 | UMBC                 |   1 | 0.784 | 0.923 | 1.178 | 0.974
509 | UC San Diego         |   2 | 0.784 | 0.834 | 1.064 | 0.914
510 | Staten Island        |   3 | 0.784 | 0.909 | 1.158 | 0.837
511 | Wayne St. (NE)       |   2 | 0.784 | 0.766 | 0.977 | 0.909
512 | New York U.          |   3 | 0.783 | 0.877 | 1.121 | 0.845
513 | Seton Hill           |   2 | 0.783 | 0.954 | 1.219 | 0.911
514 | Central Wash.        |   2 | 0.783 | 1.033 | 1.320 | 0.919
515 | Chestnut Hill        |   2 | 0.783 | 0.924 | 1.179 | 0.891
516 | Rollins              |   2 | 0.783 | 0.880 | 1.124 | 0.901
517 | Belmont Abbey        |   2 | 0.782 | 1.015 | 1.299 | 0.892
518 | Ga. Southwestern     |   2 | 0.781 | 0.843 | 1.078 | 0.906
519 | St. Michaels         |   2 | 0.780 | 0.884 | 1.133 | 0.916
520 | Hobart               |   3 | 0.778 | 0.854 | 1.098 | 0.837
521 | Angelo St.           |   2 | 0.777 | 0.876 | 1.128 | 0.925
522 | North Ga.            |   2 | 0.776 | 0.925 | 1.192 | 0.907
523 | Tiffin               |   2 | 0.776 | 0.956 | 1.232 | 0.917
524 | Livingstone          |   2 | 0.776 | 0.902 | 1.163 | 0.903
525 | St. Thomas (MN)      |   3 | 0.776 | 0.931 | 1.200 | 0.850
526 | North Ala.           |   2 | 0.776 | 0.937 | 1.206 | 0.892
527 | Williams             |   3 | 0.776 | 0.901 | 1.161 | 0.852
528 | Wis.-La Crosse       |   3 | 0.775 | 0.840 | 1.083 | 0.868
529 | Ark.-Fort Smith      |   2 | 0.775 | 0.899 | 1.160 | 0.908
530 | Washington-St. Louis |   3 | 0.775 | 0.934 | 1.205 | 0.863
531 | South Carolina St.   |   1 | 0.775 | 0.927 | 1.197 | 0.971
532 | Holy Family          |   2 | 0.774 | 0.891 | 1.151 | 0.893
533 | Fayetteville St.     |   2 | 0.773 | 0.937 | 1.212 | 0.910
534 | Southern Ark.        |   2 | 0.772 | 0.878 | 1.137 | 0.899
535 | Becker               |   3 | 0.772 | 0.838 | 1.085 | 0.806
536 | Upper Iowa           |   2 | 0.772 | 0.897 | 1.162 | 0.916
537 | Washington Adventist |   2 | 0.772 | 0.980 | 1.269 | 0.906
538 | Edinboro             |   2 | 0.772 | 0.958 | 1.241 | 0.898
539 | Mary Hardin-Baylor   |   3 | 0.772 | 0.892 | 1.155 | 0.828
540 | Newberry             |   2 | 0.772 | 1.067 | 1.382 | 0.890
541 | Oswego St.           |   3 | 0.772 | 0.869 | 1.126 | 0.831
542 | Neb.-Kearney         |   2 | 0.771 | 0.930 | 1.206 | 0.885
543 | West Virginia St.    |   2 | 0.771 | 0.867 | 1.125 | 0.901
544 | Alcorn St.           |   1 | 0.771 | 0.853 | 1.106 | 0.939
545 | Ouachita Baptist     |   2 | 0.770 | 0.898 | 1.165 | 0.899
546 | Albertus Magnus      |   3 | 0.770 | 0.995 | 1.292 | 0.811
547 | Emory                |   3 | 0.770 | 0.976 | 1.268 | 0.845
548 | St. Edwards          |   2 | 0.769 | 0.988 | 1.284 | 0.897
549 | Mo. Western St.      |   2 | 0.769 | 0.866 | 1.126 | 0.913
550 | Lake Forest          |   3 | 0.769 | 0.815 | 1.061 | 0.846
551 | Southeastern Okla.   |   2 | 0.768 | 0.858 | 1.118 | 0.906
552 | Tex. A&M-Commerce    |   2 | 0.768 | 0.951 | 1.238 | 0.932
553 | Gust. Adolphus       |   3 | 0.766 | 0.848 | 1.108 | 0.848
554 | Rose-Hulman          |   3 | 0.766 | 0.787 | 1.026 | 0.831
555 | Ohio Wesleyan        |   3 | 0.765 | 0.912 | 1.193 | 0.855
556 | Concordia-St. Paul   |   2 | 0.764 | 0.976 | 1.278 | 0.917
557 | Wabash               |   3 | 0.764 | 0.815 | 1.066 | 0.849
558 | Chowan               |   2 | 0.764 | 0.866 | 1.134 | 0.914
559 | Frank. & Marsh.      |   3 | 0.763 | 0.820 | 1.074 | 0.820
560 | Wesleyan (CT)        |   3 | 0.763 | 0.854 | 1.119 | 0.852
561 | St. Martins          |   2 | 0.762 | 0.862 | 1.131 | 0.909
562 | Tex. Permian Basin   |   2 | 0.762 | 0.783 | 1.028 | 0.901
563 | Mary                 |   2 | 0.762 | 0.877 | 1.151 | 0.917
564 | Transylvania         |   3 | 0.759 | 0.881 | 1.161 | 0.836
565 | Armstrong Atlantic   |   2 | 0.758 | 0.995 | 1.312 | 0.909
566 | Fairmont St.         |   2 | 0.758 | 0.939 | 1.238 | 0.912
567 | Rochester (NY)       |   3 | 0.757 | 0.923 | 1.220 | 0.855
568 | Minn. St. Mankato    |   2 | 0.756 | 0.892 | 1.180 | 0.918
569 | Caldwell             |   2 | 0.755 | 0.930 | 1.231 | 0.876
570 | Limestone            |   2 | 0.755 | 0.897 | 1.189 | 0.891
571 | Carthage             |   3 | 0.753 | 0.907 | 1.204 | 0.848
572 | San Fran. St.        |   2 | 0.753 | 0.895 | 1.188 | 0.923
573 | Lake Superior St.    |   2 | 0.753 | 0.894 | 1.187 | 0.904
574 | Binghamton           |   1 | 0.753 | 0.827 | 1.098 | 0.975
575 | Wilmington (DE)      |   2 | 0.753 | 0.878 | 1.167 | 0.895
576 | Colorado St.-Pueblo  |   2 | 0.753 | 0.891 | 1.183 | 0.884
577 | Wm. Paterson         |   3 | 0.752 | 0.897 | 1.193 | 0.842
578 | Davis & Elkins       |   2 | 0.752 | 0.971 | 1.291 | 0.915
579 | Randolph-Macon       |   3 | 0.752 | 0.872 | 1.160 | 0.856
580 | Western Conn. St.    |   3 | 0.751 | 1.002 | 1.334 | 0.855
581 | Bowdoin              |   3 | 0.750 | 0.920 | 1.227 | 0.833
582 | Barry                |   2 | 0.750 | 0.842 | 1.123 | 0.897
583 | Northwest Nazarene   |   2 | 0.750 | 0.935 | 1.246 | 0.908
584 | Claremont-M-S        |   3 | 0.749 | 0.837 | 1.118 | 0.824
585 | Chris. Newport       |   3 | 0.749 | 0.955 | 1.276 | 0.828
586 | Carson-Newman        |   2 | 0.748 | 0.910 | 1.216 | 0.891
587 | Maryville (MO)       |   2 | 0.747 | 0.808 | 1.081 | 0.896
588 | Texas-Dallas         |   3 | 0.747 | 0.837 | 1.121 | 0.822
589 | Chaminade            |   2 | 0.747 | 0.928 | 1.243 | 0.911
590 | Shippensburg         |   2 | 0.746 | 0.894 | 1.199 | 0.904
591 | Benedict             |   2 | 0.745 | 0.829 | 1.112 | 0.867
592 | Clarion              |   2 | 0.745 | 0.926 | 1.243 | 0.897
593 | Concordia (NY)       |   2 | 0.744 | 0.975 | 1.310 | 0.891
594 | Ramapo               |   3 | 0.743 | 0.948 | 1.276 | 0.840
595 | Northeastern St.     |   2 | 0.743 | 0.776 | 1.045 | 0.922
596 | Springfield          |   3 | 0.743 | 0.874 | 1.176 | 0.854
597 | Pfeiffer             |   2 | 0.743 | 0.947 | 1.274 | 0.893
598 | John Carroll         |   3 | 0.742 | 0.963 | 1.297 | 0.838
599 | Post                 |   2 | 0.742 | 0.866 | 1.167 | 0.890
600 | Hanover              |   3 | 0.742 | 0.825 | 1.112 | 0.837
601 | Tusculum             |   2 | 0.742 | 0.816 | 1.100 | 0.892
602 | Grinnell             |   3 | 0.742 | 1.263 | 1.703 | 0.830
603 | Emporia St.          |   2 | 0.742 | 0.816 | 1.099 | 0.930
604 | Messiah              |   3 | 0.741 | 0.804 | 1.084 | 0.846
605 | Paine                |   2 | 0.741 | 0.908 | 1.226 | 0.862
606 | LeMoyne-Owen         |   2 | 0.741 | 0.864 | 1.166 | 0.864
607 | Albright             |   3 | 0.740 | 0.871 | 1.177 | 0.852
608 | Truman               |   2 | 0.739 | 0.871 | 1.178 | 0.918
609 | Saginaw Valley       |   2 | 0.739 | 0.874 | 1.183 | 0.923
610 | Guilford             |   3 | 0.738 | 0.816 | 1.106 | 0.854
611 | Chadron St.          |   2 | 0.738 | 0.884 | 1.198 | 0.884
612 | Wittenberg           |   3 | 0.737 | 0.806 | 1.093 | 0.851
613 | Birmingham-So.       |   3 | 0.737 | 0.906 | 1.229 | 0.806
614 | Western N.M.         |   2 | 0.737 | 0.908 | 1.231 | 0.886
615 | Cabrini              |   3 | 0.737 | 0.953 | 1.293 | 0.828
616 | Wis.-Eau Claire      |   3 | 0.736 | 0.847 | 1.150 | 0.862
617 | Stevens Institute    |   3 | 0.735 | 0.923 | 1.255 | 0.828
618 | Mary Washington      |   3 | 0.734 | 0.854 | 1.164 | 0.836
619 | Lake Erie            |   2 | 0.734 | 0.835 | 1.138 | 0.924
620 | Glenville St.        |   2 | 0.734 | 0.851 | 1.160 | 0.913
621 | Lenoir-Rhyne         |   2 | 0.733 | 0.827 | 1.128 | 0.891
622 | Pacific Lutheran     |   3 | 0.733 | 0.846 | 1.154 | 0.854
623 | Virginia St.         |   2 | 0.732 | 0.803 | 1.096 | 0.908
624 | Montclair St.        |   3 | 0.732 | 0.886 | 1.210 | 0.837
625 | Hawaii Pacific       |   2 | 0.732 | 0.833 | 1.138 | 0.885
626 | Buena Vista          |   3 | 0.730 | 0.887 | 1.215 | 0.843
627 | Skidmore             |   3 | 0.730 | 0.845 | 1.158 | 0.835
628 | Lincoln (PA)         |   2 | 0.730 | 0.855 | 1.172 | 0.904
629 | Baldwin-Wallace      |   3 | 0.730 | 0.867 | 1.188 | 0.835
630 | Richard Stockton     |   3 | 0.729 | 0.866 | 1.188 | 0.846
631 | Notre Dame de Namur  |   2 | 0.729 | 0.820 | 1.124 | 0.890
632 | Millersville         |   2 | 0.729 | 0.914 | 1.254 | 0.895
633 | Clark Atlanta        |   2 | 0.729 | 0.848 | 1.164 | 0.870
634 | Misericordia         |   3 | 0.728 | 0.842 | 1.157 | 0.828
635 | Neb. Wesleyan        |   3 | 0.728 | 0.848 | 1.164 | 0.810
636 | Stillman             |   2 | 0.728 | 0.928 | 1.274 | 0.860
637 | Marietta             |   3 | 0.728 | 0.883 | 1.213 | 0.852
638 | North Greenville     |   2 | 0.727 | 0.938 | 1.289 | 0.892
639 | St. Olaf             |   3 | 0.727 | 0.887 | 1.220 | 0.841
640 | Widener              |   3 | 0.727 | 0.938 | 1.290 | 0.846
641 | Western St.          |   2 | 0.727 | 0.839 | 1.154 | 0.894
642 | Valdosta St.         |   2 | 0.726 | 0.926 | 1.276 | 0.903
643 | Hardin-Simmons       |   3 | 0.726 | 0.939 | 1.293 | 0.835
644 | N.M. Highlands       |   2 | 0.726 | 0.995 | 1.371 | 0.885
645 | New Orleans          |   2 | 0.726 | 0.827 | 1.139 | 0.952
646 | Lakeland             |   3 | 0.725 | 0.998 | 1.376 | 0.815
647 | Mass.-Dartmouth      |   3 | 0.724 | 0.870 | 1.201 | 0.856
648 | Wis.-Platteville     |   3 | 0.724 | 0.831 | 1.147 | 0.864
649 | Whitman              |   3 | 0.724 | 0.871 | 1.203 | 0.847
650 | Dominican (CA)       |   2 | 0.724 | 0.827 | 1.142 | 0.896
651 | Concordia (WI)       |   3 | 0.724 | 0.905 | 1.251 | 0.821
652 | Tuskegee             |   2 | 0.723 | 0.905 | 1.252 | 0.864
653 | Catawba              |   2 | 0.723 | 0.895 | 1.237 | 0.895
654 | Mansfield            |   2 | 0.722 | 0.899 | 1.246 | 0.900
655 | St. Marys (MD)       |   3 | 0.721 | 0.877 | 1.216 | 0.845
656 | Tufts                |   3 | 0.720 | 0.905 | 1.257 | 0.838
657 | New Jersey City      |   3 | 0.719 | 0.824 | 1.146 | 0.850
658 | Hartwick             |   3 | 0.718 | 0.851 | 1.186 | 0.822
659 | Randolph             |   3 | 0.718 | 0.749 | 1.043 | 0.858
660 | Lycoming             |   3 | 0.718 | 0.920 | 1.282 | 0.843
661 | St. Norbert          |   3 | 0.717 | 0.818 | 1.140 | 0.843
662 | Luther               |   3 | 0.717 | 0.800 | 1.116 | 0.834
663 | P.R.-Rio Piedras     |   2 | 0.717 | 0.881 | 1.229 | 0.884
664 | Salem Intl           |   2 | 0.716 | 0.988 | 1.380 | 0.922
665 | Brockport            |   3 | 0.715 | 0.912 | 1.276 | 0.840
666 | Erskine              |   2 | 0.715 | 0.832 | 1.163 | 0.902
667 | Central (IA)         |   3 | 0.715 | 0.837 | 1.171 | 0.826
668 | Alas. Fairbanks      |   2 | 0.715 | 0.862 | 1.205 | 0.916
669 | American Intl        |   2 | 0.714 | 0.796 | 1.115 | 0.911
670 | Puget Sound          |   3 | 0.714 | 0.860 | 1.205 | 0.844
671 | Dowling              |   2 | 0.714 | 0.790 | 1.108 | 0.882
672 | SUNY Cortland        |   3 | 0.714 | 0.843 | 1.180 | 0.828
673 | Northern Mich.       |   2 | 0.712 | 0.839 | 1.179 | 0.915
674 | Buffalo St.          |   3 | 0.712 | 1.025 | 1.440 | 0.835
675 | Chicago              |   3 | 0.712 | 0.926 | 1.300 | 0.857
676 | Carroll (WI)         |   3 | 0.712 | 0.882 | 1.240 | 0.847
677 | Nazareth             |   3 | 0.712 | 0.866 | 1.216 | 0.837
678 | Keystone             |   3 | 0.712 | 1.011 | 1.420 | 0.809
679 | West Ala.            |   2 | 0.710 | 0.818 | 1.153 | 0.922
680 | P.R.-Mayaguez        |   2 | 0.710 | 0.949 | 1.337 | 0.901
681 | Rutgers-Newark       |   3 | 0.709 | 0.845 | 1.192 | 0.840
682 | NYIT                 |   2 | 0.709 | 0.893 | 1.259 | 0.875
683 | Lewis & Clark        |   3 | 0.709 | 0.876 | 1.234 | 0.850
684 | Clark (MA)           |   3 | 0.709 | 0.785 | 1.107 | 0.856
685 | Lynchburg            |   3 | 0.708 | 0.950 | 1.341 | 0.861
686 | Salem St.            |   3 | 0.708 | 0.939 | 1.326 | 0.836
687 | Molloy               |   2 | 0.708 | 0.858 | 1.211 | 0.885
688 | Brooklyn             |   3 | 0.708 | 0.908 | 1.282 | 0.830
689 | McMurry              |   3 | 0.707 | 0.977 | 1.382 | 0.842
690 | Hamline              |   3 | 0.705 | 0.938 | 1.330 | 0.839
691 | York (PA)            |   3 | 0.705 | 0.837 | 1.188 | 0.840
692 | Denison              |   3 | 0.705 | 0.862 | 1.223 | 0.844
693 | Ripon                |   3 | 0.704 | 0.918 | 1.305 | 0.842
694 | Juniata              |   3 | 0.703 | 0.823 | 1.171 | 0.824
695 | Chapman              |   3 | 0.703 | 0.756 | 1.076 | 0.835
696 | Mt. St. Mary (NY)    |   3 | 0.703 | 0.878 | 1.250 | 0.802
697 | Albany St. (GA)      |   2 | 0.703 | 0.852 | 1.212 | 0.861
698 | Westfield St.        |   3 | 0.703 | 0.829 | 1.179 | 0.815
699 | St. Josephs (ME)     |   3 | 0.702 | 0.780 | 1.112 | 0.809
700 | Claflin              |   2 | 0.701 | 0.796 | 1.136 | 0.861
701 | Kentucky St.         |   2 | 0.701 | 0.843 | 1.202 | 0.865
702 | Adrian               |   3 | 0.701 | 0.757 | 1.079 | 0.830
703 | Edgewood             |   3 | 0.701 | 0.857 | 1.222 | 0.835
704 | Catholic             |   3 | 0.700 | 0.867 | 1.237 | 0.821
705 | Whittier             |   3 | 0.700 | 0.937 | 1.338 | 0.825
706 | DePauw               |   3 | 0.699 | 0.802 | 1.146 | 0.851
707 | Capital              |   3 | 0.699 | 0.843 | 1.205 | 0.848
708 | Hawaii Hilo          |   2 | 0.699 | 0.866 | 1.240 | 0.888
709 | Palm Beach Atl.      |   2 | 0.698 | 0.835 | 1.196 | 0.911
710 | East Central         |   2 | 0.698 | 0.853 | 1.221 | 0.911
711 | UC-Colo. Springs     |   2 | 0.697 | 0.908 | 1.302 | 0.887
712 | Centre               |   3 | 0.697 | 0.818 | 1.174 | 0.820
713 | Minn.-Crookston      |   2 | 0.697 | 0.785 | 1.126 | 0.906
714 | Dubuque              |   3 | 0.696 | 0.835 | 1.200 | 0.834
715 | Cal St. Monterey Bay |   2 | 0.696 | 0.881 | 1.265 | 0.923
716 | St. Thomas Aquinas   |   2 | 0.696 | 0.807 | 1.160 | 0.879
717 | USP                  |   2 | 0.696 | 0.815 | 1.171 | 0.894
718 | Scranton             |   3 | 0.695 | 0.856 | 1.232 | 0.838
719 | Wis.-Superior        |   3 | 0.695 | 0.813 | 1.170 | 0.861
720 | Rockhurst            |   2 | 0.695 | 0.814 | 1.170 | 0.928
721 | Wilmington (OH)      |   3 | 0.695 | 0.846 | 1.218 | 0.851
722 | Medaille             |   3 | 0.694 | 0.844 | 1.217 | 0.784
723 | Coe                  |   3 | 0.694 | 0.816 | 1.176 | 0.837
724 | Ithaca               |   3 | 0.694 | 0.904 | 1.302 | 0.840
725 | Wilkes               |   3 | 0.692 | 0.866 | 1.251 | 0.831
726 | Miles                |   2 | 0.692 | 0.850 | 1.228 | 0.868
727 | Farmingdale St.      |   3 | 0.691 | 0.865 | 1.252 | 0.806
728 | Lees-McRae           |   2 | 0.690 | 0.824 | 1.194 | 0.898
729 | St. Vincent          |   3 | 0.689 | 0.823 | 1.194 | 0.796
730 | Babson               |   3 | 0.689 | 0.770 | 1.117 | 0.848
731 | Redlands             |   3 | 0.687 | 0.888 | 1.292 | 0.843
732 | Medgar Evers         |   3 | 0.686 | 0.896 | 1.307 | 0.833
733 | Queens (NY)          |   2 | 0.686 | 0.792 | 1.155 | 0.891
734 | Brandeis             |   3 | 0.685 | 0.836 | 1.222 | 0.863
735 | Bates                |   3 | 0.685 | 0.819 | 1.195 | 0.845
736 | Ohio Northern        |   3 | 0.685 | 0.815 | 1.189 | 0.848
737 | Elmhurst             |   3 | 0.684 | 0.829 | 1.211 | 0.852
738 | Fort Valley St.      |   2 | 0.683 | 0.866 | 1.267 | 0.867
739 | Trine                |   3 | 0.683 | 0.786 | 1.150 | 0.827
740 | Pomona-Pitzer        |   3 | 0.683 | 0.741 | 1.085 | 0.837
741 | Lincoln (MO)         |   2 | 0.682 | 0.839 | 1.230 | 0.925
742 | Felician             |   2 | 0.682 | 0.823 | 1.206 | 0.884
743 | Hiram                |   3 | 0.681 | 0.898 | 1.320 | 0.844
744 | Hood                 |   3 | 0.681 | 0.792 | 1.163 | 0.837
745 | Calvin               |   3 | 0.681 | 0.854 | 1.255 | 0.840
746 | Fisk                 |   3 | 0.681 | 0.843 | 1.237 | 0.996
747 | Thiel                |   3 | 0.680 | 0.853 | 1.255 | 0.815
748 | Simpson              |   3 | 0.680 | 0.914 | 1.344 | 0.854
749 | Missouri S&T         |   2 | 0.679 | 0.810 | 1.193 | 0.931
750 | Grambling            |   1 | 0.679 | 0.757 | 1.115 | 0.954
751 | Ohio Valley          |   2 | 0.677 | 0.951 | 1.404 | 0.914
752 | Rhodes               |   3 | 0.677 | 0.800 | 1.183 | 0.816
753 | Eastern              |   3 | 0.676 | 0.887 | 1.311 | 0.828
754 | St. Josephs (L.I.)   |   3 | 0.675 | 0.987 | 1.462 | 0.809
755 | St. Johns (MN)       |   3 | 0.674 | 0.762 | 1.130 | 0.837
756 | St. Lawrence         |   3 | 0.674 | 0.779 | 1.155 | 0.838
757 | Union (NY)           |   3 | 0.674 | 0.843 | 1.251 | 0.823
758 | East. Mennonite      |   3 | 0.674 | 0.897 | 1.331 | 0.851
759 | Concordia (TX)       |   3 | 0.674 | 1.063 | 1.578 | 0.834
760 | Wesley               |   3 | 0.673 | 0.865 | 1.286 | 0.846
761 | Trinity (CT)         |   3 | 0.671 | 0.752 | 1.121 | 0.846
762 | Cheyney              |   2 | 0.671 | 0.860 | 1.282 | 0.903
763 | SUNY Geneseo         |   3 | 0.670 | 0.799 | 1.194 | 0.831
764 | Gwynedd-Mercy        |   3 | 0.670 | 0.907 | 1.353 | 0.811
765 | Wash. & Lee          |   3 | 0.668 | 0.821 | 1.229 | 0.857
766 | Clarkson             |   3 | 0.668 | 0.850 | 1.272 | 0.825
767 | Flagler              |   2 | 0.667 | 0.877 | 1.315 | 0.913
768 | Rowan                |   3 | 0.667 | 0.839 | 1.257 | 0.838
769 | Thomas More          |   3 | 0.667 | 0.870 | 1.305 | 0.808
770 | St. Andrews          |   2 | 0.667 | 0.947 | 1.419 | 0.894
771 | Dickinson            |   3 | 0.666 | 0.795 | 1.193 | 0.817
772 | Morehouse            |   2 | 0.666 | 0.804 | 1.207 | 0.866
773 | Northwestern (MN)    |   3 | 0.666 | 0.784 | 1.178 | 0.795
774 | Mars Hill            |   2 | 0.665 | 1.003 | 1.508 | 0.899
775 | Tampa                |   2 | 0.665 | 0.754 | 1.135 | 0.905
776 | Frostburg St.        |   3 | 0.664 | 0.868 | 1.308 | 0.830
777 | East Tex. Baptist    |   3 | 0.663 | 0.898 | 1.356 | 0.829
778 | Wis.-Stout           |   3 | 0.663 | 0.757 | 1.141 | 0.879
779 | Beloit               |   3 | 0.662 | 0.849 | 1.283 | 0.850
780 | Brevard              |   2 | 0.661 | 0.802 | 1.214 | 0.900
781 | Texas Lutheran       |   3 | 0.660 | 0.787 | 1.192 | 0.841
782 | Hamilton             |   3 | 0.660 | 0.802 | 1.216 | 0.845
783 | Wartburg             |   3 | 0.659 | 0.784 | 1.191 | 0.826
784 | Schreiner            |   3 | 0.659 | 0.883 | 1.340 | 0.833
785 | P.R.-Bayamon         |   2 | 0.658 | 0.803 | 1.220 | 0.908
786 | Illinois Col.        |   3 | 0.658 | 0.852 | 1.294 | 0.852
787 | Carleton             |   3 | 0.657 | 0.775 | 1.179 | 0.841
788 | Trinity (TX)         |   3 | 0.657 | 0.761 | 1.159 | 0.824
789 | Elms                 |   3 | 0.656 | 0.784 | 1.195 | 0.806
790 | Penn St.-Harrisburg  |   3 | 0.656 | 0.907 | 1.382 | 0.802
791 | Defiance             |   3 | 0.654 | 0.881 | 1.347 | 0.845
792 | TCNJ                 |   3 | 0.654 | 0.816 | 1.247 | 0.839
793 | Oakland City         |   2 | 0.654 | 0.865 | 1.324 | 0.949
794 | Maryville (TN)       |   3 | 0.654 | 0.853 | 1.303 | 0.813
795 | Mount Union          |   3 | 0.653 | 0.773 | 1.183 | 0.834
796 | Wis.-Oshkosh         |   3 | 0.653 | 0.875 | 1.339 | 0.873
797 | N.C. Wesleyan        |   3 | 0.653 | 0.846 | 1.296 | 0.838
798 | Salisbury            |   3 | 0.652 | 0.759 | 1.164 | 0.835
799 | Case                 |   3 | 0.652 | 0.863 | 1.324 | 0.849
800 | Castleton            |   3 | 0.652 | 1.006 | 1.543 | 0.788
801 | Lebanon Valley       |   3 | 0.651 | 0.829 | 1.274 | 0.842
802 | Penn St.-Behrend     |   3 | 0.650 | 0.687 | 1.056 | 0.793
803 | Fredonia St.         |   3 | 0.649 | 0.744 | 1.147 | 0.835
804 | UC Santa Cruz        |   3 | 0.648 | 0.810 | 1.249 | 0.853
805 | Franklin             |   3 | 0.646 | 0.837 | 1.296 | 0.837
806 | Manhattanville       |   3 | 0.646 | 0.815 | 1.262 | 0.840
807 | Kings (PA)           |   3 | 0.646 | 0.824 | 1.276 | 0.834
808 | Lane                 |   2 | 0.646 | 0.844 | 1.307 | 0.871
809 | Susquehanna          |   3 | 0.646 | 0.805 | 1.246 | 0.834
810 | Carnegie Mellon      |   3 | 0.646 | 0.844 | 1.306 | 0.856
811 | Academy of Art       |   2 | 0.645 | 0.842 | 1.306 | 0.900
812 | Southern Me.         |   3 | 0.644 | 0.805 | 1.251 | 0.850
813 | FDU-Florham          |   3 | 0.643 | 0.765 | 1.189 | 0.839
814 | Colby-Sawyer         |   3 | 0.642 | 0.842 | 1.311 | 0.773
815 | Kean                 |   3 | 0.642 | 0.692 | 1.078 | 0.846
816 | Lawrence             |   3 | 0.642 | 0.855 | 1.332 | 0.845
817 | Otterbein            |   3 | 0.641 | 0.827 | 1.289 | 0.847
818 | Coast Guard          |   3 | 0.640 | 0.886 | 1.385 | 0.840
819 | Delta St.            |   2 | 0.640 | 0.805 | 1.258 | 0.906
820 | Plymouth St.         |   3 | 0.639 | 0.812 | 1.271 | 0.851
821 | York (NY)            |   3 | 0.639 | 0.796 | 1.246 | 0.845
822 | Centenary (LA)       |   1 | 0.638 | 0.845 | 1.326 | 0.831
823 | Merchant Marine      |   3 | 0.638 | 0.812 | 1.273 | 0.820
824 | Neumann              |   3 | 0.638 | 0.829 | 1.300 | 0.820
825 | Greensboro           |   3 | 0.638 | 0.896 | 1.404 | 0.822
826 | Fitchburg St.        |   3 | 0.635 | 0.881 | 1.388 | 0.812
827 | Moravian             |   3 | 0.634 | 0.831 | 1.310 | 0.825
828 | Mississippi Col.     |   3 | 0.634 | 0.854 | 1.348 | 0.830
829 | Salve Regina         |   3 | 0.634 | 0.822 | 1.298 | 0.802
830 | Rensselaer           |   3 | 0.633 | 1.078 | 1.703 | 0.848
831 | Endicott             |   3 | 0.633 | 0.875 | 1.382 | 0.798
832 | Kenyon               |   3 | 0.632 | 0.852 | 1.349 | 0.840
833 | Loras                |   3 | 0.632 | 0.821 | 1.299 | 0.856
834 | La Roche             |   3 | 0.632 | 0.830 | 1.312 | 0.786
835 | Gettysburg           |   3 | 0.630 | 0.721 | 1.144 | 0.817
836 | Muhlenberg           |   3 | 0.630 | 0.863 | 1.369 | 0.812
837 | Morrisville St.      |   3 | 0.629 | 0.848 | 1.349 | 0.804
838 | Greenville           |   3 | 0.629 | 0.946 | 1.503 | 0.800
839 | Wheaton (MA)         |   3 | 0.628 | 0.785 | 1.251 | 0.845
840 | Mercy                |   2 | 0.627 | 0.810 | 1.292 | 0.889
841 | Johnson & Wales (RI) |   3 | 0.627 | 0.875 | 1.395 | 0.819
842 | Eureka               |   3 | 0.627 | 0.884 | 1.410 | 0.814
843 | Linfield             |   3 | 0.627 | 0.807 | 1.288 | 0.861
844 | Menlo                |   3 | 0.626 | 0.752 | 1.200 | 1.003
845 | Concordia-Mhead      |   3 | 0.626 | 0.787 | 1.256 | 0.842
846 | George Fox           |   3 | 0.625 | 0.801 | 1.282 | 0.847
847 | Johns Hopkins        |   3 | 0.625 | 0.726 | 1.161 | 0.809
848 | Rockford             |   3 | 0.624 | 0.863 | 1.382 | 0.815
849 | Old Westbury         |   3 | 0.623 | 0.882 | 1.415 | 0.803
850 | Oglethorpe           |   3 | 0.623 | 0.776 | 1.246 | 0.812
851 | Albion               |   3 | 0.622 | 0.739 | 1.188 | 0.831
852 | Alfred               |   3 | 0.622 | 0.779 | 1.253 | 0.817
853 | Regis (CO)           |   2 | 0.621 | 0.774 | 1.247 | 0.887
854 | Framingham St.       |   3 | 0.621 | 0.813 | 1.309 | 0.820
855 | Plattsburgh St.      |   3 | 0.621 | 0.794 | 1.279 | 0.836
856 | Emmanuel (MA)        |   3 | 0.620 | 0.780 | 1.258 | 0.816
857 | Allegheny            |   3 | 0.620 | 0.780 | 1.258 | 0.846
858 | Ferrum               |   3 | 0.620 | 0.846 | 1.364 | 0.833
859 | Elizabethtown        |   3 | 0.620 | 0.771 | 1.242 | 0.849
860 | Rust                 |   3 | 0.619 | 0.890 | 1.438 | 0.803
861 | Wentworth Inst.      |   3 | 0.619 | 0.731 | 1.181 | 0.802
862 | Concordia Chicago    |   3 | 0.619 | 0.757 | 1.223 | 0.828
863 | Ozarks (AR)          |   3 | 0.617 | 0.880 | 1.426 | 0.824
864 | Alma                 |   3 | 0.617 | 0.906 | 1.469 | 0.838
865 | Louisiana Col.       |   3 | 0.616 | 0.816 | 1.325 | 0.842
866 | Monmouth (IL)        |   3 | 0.616 | 0.798 | 1.296 | 0.850
867 | Westminster (MO)     |   3 | 0.615 | 0.746 | 1.213 | 0.813
868 | Husson               |   3 | 0.615 | 0.827 | 1.345 | 0.784
869 | Sul Ross St.         |   3 | 0.615 | 0.730 | 1.187 | 0.843
870 | Wells                |   3 | 0.615 | 0.779 | 1.266 | 0.804
871 | Heidelberg           |   3 | 0.615 | 0.843 | 1.370 | 0.845
872 | Nyack                |   2 | 0.614 | 0.877 | 1.429 | 0.883
873 | Immaculata           |   3 | 0.614 | 0.812 | 1.322 | 0.817
874 | Rochester Inst.      |   3 | 0.613 | 0.815 | 1.330 | 0.832
875 | Methodist            |   3 | 0.613 | 0.815 | 1.330 | 0.849
876 | Hilbert              |   3 | 0.613 | 0.830 | 1.355 | 0.780
877 | Howard Payne         |   3 | 0.613 | 0.840 | 1.372 | 0.842
878 | St. John Fisher      |   3 | 0.613 | 0.772 | 1.259 | 0.830
879 | Webster              |   3 | 0.613 | 0.823 | 1.343 | 0.810
880 | LaGrange             |   3 | 0.612 | 0.836 | 1.366 | 0.819
881 | Purchase St.         |   3 | 0.612 | 0.806 | 1.316 | 0.807
882 | Mt. St. Joseph       |   3 | 0.611 | 0.683 | 1.117 | 0.847
883 | New Paltz St.        |   3 | 0.611 | 0.843 | 1.379 | 0.839
884 | Colorado Col.        |   3 | 0.611 | 0.749 | 1.226 | 0.819
885 | Utica                |   3 | 0.610 | 0.872 | 1.430 | 0.825
886 | St. Josephs (Brkln)  |   3 | 0.610 | 0.775 | 1.270 | 0.811
887 | Lasell               |   3 | 0.610 | 0.853 | 1.399 | 0.825
888 | Roanoke              |   3 | 0.609 | 0.847 | 1.391 | 0.849
889 | Muskingum            |   3 | 0.608 | 0.731 | 1.201 | 0.842
890 | Finlandia            |   3 | 0.608 | 0.888 | 1.461 | 0.809
891 | Manchester           |   3 | 0.608 | 0.705 | 1.161 | 0.844
892 | Lehman               |   3 | 0.607 | 0.737 | 1.215 | 0.815
893 | Grove City           |   3 | 0.607 | 0.777 | 1.281 | 0.802
894 | Emory & Henry        |   3 | 0.607 | 0.788 | 1.298 | 0.855
895 | Rosemont             |   3 | 0.606 | 0.756 | 1.246 | 0.809
896 | Gordon               |   3 | 0.605 | 0.736 | 1.218 | 0.808
897 | Nichols              |   3 | 0.603 | 0.865 | 1.433 | 0.799
898 | Marian (WI)          |   3 | 0.603 | 0.783 | 1.299 | 0.819
899 | Wheelock             |   3 | 0.603 | 0.739 | 1.226 | 0.796
900 | La Verne             |   3 | 0.602 | 0.789 | 1.310 | 0.841
901 | North Park           |   3 | 0.602 | 0.772 | 1.283 | 0.861
902 | Occidental           |   3 | 0.602 | 0.747 | 1.241 | 0.831
903 | Spalding             |   3 | 0.602 | 0.704 | 1.170 | 0.819
904 | John Jay             |   3 | 0.602 | 0.895 | 1.487 | 0.828
905 | Bluefield St.        |   2 | 0.602 | 0.921 | 1.528 | 0.910
906 | Lincoln Christian    |   3 | 0.602 | 0.826 | 1.372 | 0.708
907 | Cal Lutheran         |   3 | 0.601 | 0.679 | 1.129 | 0.830
908 | Delaware Valley      |   3 | 0.600 | 0.814 | 1.355 | 0.842
909 | Willamette           |   3 | 0.600 | 0.892 | 1.486 | 0.854
910 | Connecticut Col.     |   3 | 0.600 | 0.718 | 1.197 | 0.842
911 | Marymount (VA)       |   3 | 0.600 | 0.756 | 1.261 | 0.841
912 | Bethany Lutheran     |   3 | 0.599 | 0.784 | 1.309 | 0.790
913 | Lock Haven           |   2 | 0.599 | 0.753 | 1.259 | 0.911
914 | Mass. Liberal Arts   |   3 | 0.598 | 0.819 | 1.370 | 0.832
915 | MacMurray            |   3 | 0.598 | 0.800 | 1.336 | 0.820
916 | Hunter               |   3 | 0.598 | 0.786 | 1.314 | 0.829
917 | Knox                 |   3 | 0.598 | 0.769 | 1.285 | 0.850
918 | Colo. Christian      |   2 | 0.597 | 0.766 | 1.284 | 0.897
919 | Centenary (NJ)       |   3 | 0.597 | 0.876 | 1.468 | 0.812
920 | Washington Col.      |   3 | 0.597 | 0.867 | 1.453 | 0.818
921 | Curry                |   3 | 0.595 | 0.820 | 1.378 | 0.810
922 | Me.-Farmington       |   3 | 0.594 | 0.782 | 1.317 | 0.778
923 | Sewanee              |   3 | 0.592 | 0.759 | 1.282 | 0.817
924 | Worcester St.        |   3 | 0.592 | 0.770 | 1.302 | 0.826
925 | Penn St.-Berks       |   3 | 0.592 | 0.817 | 1.380 | 0.805
926 | Texas-Tyler          |   3 | 0.591 | 0.762 | 1.288 | 0.837
927 | Okla. Panhandle      |   2 | 0.590 | 0.783 | 1.327 | 0.911
928 | Mass.-Boston         |   3 | 0.587 | 0.802 | 1.366 | 0.857
929 | Thomas (ME)          |   3 | 0.586 | 0.853 | 1.456 | 0.773
930 | Haverford            |   3 | 0.585 | 0.761 | 1.302 | 0.824
931 | Mt. St. Vincent      |   3 | 0.585 | 0.824 | 1.407 | 0.809
932 | McDaniel             |   3 | 0.585 | 0.678 | 1.159 | 0.813
933 | Ursinus              |   3 | 0.583 | 0.756 | 1.298 | 0.820
934 | Stevenson            |   3 | 0.583 | 0.765 | 1.312 | 0.833
935 | Regis (MA)           |   3 | 0.580 | 0.697 | 1.202 | 0.797
936 | Drew                 |   3 | 0.579 | 0.796 | 1.375 | 0.838
937 | St. Scholastica      |   3 | 0.578 | 0.768 | 1.329 | 0.788
938 | Kalamazoo            |   3 | 0.577 | 0.767 | 1.329 | 0.831
939 | Colby                |   3 | 0.577 | 0.703 | 1.217 | 0.838
940 | Roger Williams       |   3 | 0.576 | 0.724 | 1.256 | 0.803
941 | Pacific (OR)         |   3 | 0.576 | 0.732 | 1.270 | 0.845
942 | Vassar               |   3 | 0.574 | 0.749 | 1.303 | 0.835
943 | Wash. & Jeff.        |   3 | 0.573 | 0.769 | 1.342 | 0.813
944 | Oneonta St.          |   3 | 0.572 | 0.721 | 1.261 | 0.842
945 | Earlham              |   3 | 0.571 | 0.746 | 1.306 | 0.839
946 | Huntingdon           |   3 | 0.570 | 0.832 | 1.460 | 0.814
947 | Penn St.-Abington    |   3 | 0.569 | 0.918 | 1.614 | 0.807
948 | DYouville            |   3 | 0.569 | 0.898 | 1.579 | 0.790
949 | Gallaudet            |   3 | 0.568 | 0.755 | 1.331 | 0.803
950 | St. Marys (MN)       |   3 | 0.566 | 0.713 | 1.258 | 0.843
951 | Suffolk              |   3 | 0.566 | 0.838 | 1.480 | 0.810
952 | Piedmont             |   3 | 0.565 | 0.854 | 1.510 | 0.820
953 | Milwaukee Engr.      |   3 | 0.565 | 0.683 | 1.209 | 0.814
954 | Wis. Lutheran        |   3 | 0.564 | 0.770 | 1.367 | 0.831
955 | Marywood             |   3 | 0.563 | 0.708 | 1.256 | 0.825
956 | Shenandoah           |   3 | 0.563 | 0.765 | 1.360 | 0.832
957 | Cornell College      |   3 | 0.562 | 0.737 | 1.310 | 0.839
958 | Minn.-Morris         |   3 | 0.561 | 0.758 | 1.349 | 0.771
959 | SUNY Potsdam         |   3 | 0.561 | 0.708 | 1.263 | 0.833
960 | SUNYIT               |   3 | 0.561 | 0.831 | 1.481 | 0.804
961 | Rutgers-Camden       |   3 | 0.560 | 0.763 | 1.363 | 0.847
962 | Cazenovia            |   3 | 0.560 | 0.771 | 1.377 | 0.800
963 | Oberlin              |   3 | 0.556 | 0.692 | 1.244 | 0.844
964 | Mt. Aloysius         |   3 | 0.555 | 0.945 | 1.702 | 0.787
965 | LeTourneau           |   3 | 0.554 | 0.718 | 1.297 | 0.835
966 | Macalester           |   3 | 0.553 | 0.719 | 1.301 | 0.839
967 | Western New Eng.     |   3 | 0.553 | 0.715 | 1.293 | 0.804
968 | Me.-Presque Isle     |   3 | 0.553 | 0.756 | 1.366 | 0.804
969 | Dominican (IL)       |   3 | 0.552 | 0.744 | 1.346 | 0.820
970 | Dallas               |   3 | 0.552 | 0.772 | 1.400 | 0.812
971 | Southwestern (TX)    |   3 | 0.551 | 0.730 | 1.323 | 0.833
972 | Goucher              |   3 | 0.549 | 0.747 | 1.362 | 0.829
973 | Fontbonne            |   3 | 0.548 | 0.744 | 1.357 | 0.813
974 | Geneva               |   3 | 0.547 | 0.775 | 1.417 | 0.814
975 | Emerson              |   3 | 0.547 | 0.685 | 1.252 | 0.819
976 | Hendrix              |   3 | 0.547 | 0.738 | 1.351 | 0.817
977 | Sage Colleges        |   3 | 0.546 | 0.711 | 1.301 | 0.793
978 | Mount Ida            |   3 | 0.546 | 0.732 | 1.340 | 0.801
979 | Millsaps             |   3 | 0.543 | 0.677 | 1.245 | 0.816
980 | Newbury              |   3 | 0.543 | 0.735 | 1.354 | 0.800
981 | Daniel Webster       |   3 | 0.542 | 0.750 | 1.382 | 0.789
982 | North Central (MN)   |   3 | 0.541 | 0.864 | 1.596 | 0.778
983 | U New England        |   3 | 0.538 | 0.671 | 1.246 | 0.808
984 | Rivier               |   3 | 0.538 | 0.714 | 1.326 | 0.803
985 | Westminster (PA)     |   3 | 0.537 | 0.796 | 1.481 | 0.815
986 | Pitt.-Bradford       |   3 | 0.535 | 0.713 | 1.331 | 0.788
987 | Baptist Bible (PA)   |   3 | 0.535 | 0.694 | 1.296 | 0.814
988 | Eastern Nazarene     |   3 | 0.535 | 0.755 | 1.413 | 0.793
989 | Lancaster Bible      |   3 | 0.533 | 0.707 | 1.327 | 0.796
990 | Elmira               |   3 | 0.533 | 0.676 | 1.268 | 0.834
991 | Pitt.-Greensburg     |   3 | 0.532 | 0.766 | 1.438 | 0.788
992 | Olivet               |   3 | 0.532 | 0.786 | 1.476 | 0.839
993 | Keuka                |   3 | 0.530 | 0.731 | 1.381 | 0.800
994 | Lesley               |   3 | 0.529 | 0.730 | 1.380 | 0.800
995 | Yeshiva              |   3 | 0.526 | 0.681 | 1.295 | 0.803
996 | Swarthmore           |   3 | 0.521 | 0.726 | 1.394 | 0.824
997 | Waynesburg           |   3 | 0.520 | 0.677 | 1.301 | 0.802
998 | Mitchell             |   3 | 0.517 | 0.755 | 1.461 | 0.795
999 | Northland            |   3 | 0.510 | 0.736 | 1.444 | 0.789
1000 | Cobleskill St.       |   3 | 0.507 | 0.722 | 1.423 | 0.815
1001 | Crown (MN)           |   3 | 0.506 | 0.774 | 1.531 | 0.788
1002 | Phila. Biblical      |   3 | 0.505 | 0.720 | 1.424 | 0.814
1003 | Berry                |   3 | 0.501 | 0.728 | 1.452 | 0.826
1004 | CCNY                 |   3 | 0.499 | 0.683 | 1.368 | 0.826
1005 | Maranatha Baptist    |   3 | 0.493 | 0.666 | 1.350 | 0.820
1006 | Norwich              |   3 | 0.492 | 0.677 | 1.376 | 0.802
1007 | Lyndon St.           |   3 | 0.487 | 0.745 | 1.529 | 0.789
1008 | Penn St.-Altoona     |   3 | 0.486 | 0.731 | 1.505 | 0.788
1009 | Johnson St.          |   3 | 0.486 | 0.704 | 1.449 | 0.777
1010 | Caltech              |   3 | 0.486 | 0.667 | 1.372 | 0.834
1011 | SUNY Maritime        |   3 | 0.484 | 0.707 | 1.461 | 0.809
1012 | New England Col.     |   3 | 0.483 | 0.747 | 1.548 | 0.767
1013 | Polytechnic (NY)     |   3 | 0.480 | 0.644 | 1.343 | 0.807
1014 | Millikin             |   3 | 0.477 | 0.607 | 1.272 | 0.866
1015 | Southern Vt.         |   3 | 0.466 | 0.745 | 1.598 | 0.807
1016 | Presentation         |   3 | 0.465 | 0.676 | 1.452 | 0.786
1017 | Martin Luther        |   3 | 0.453 | 0.681 | 1.503 | 0.785
1018 | Principia            |   3 | 0.452 | 0.724 | 1.602 | 0.817
1019 | Green Mountain       |   3 | 0.421 | 0.662 | 1.572 | 0.781
1020 | Maine Maritime       |   3 | 0.413 | 0.571 | 1.382 | 0.779
1021 | Franciscan           |   3 | 0.363 | 0.525 | 1.446 | 0.792
(1021 rows)

A Bayes' Solution to Monty Hall

For any problem involving conditional probabilities one of your greatest allies is Bayes' Theorem. Bayes' Theorem says that for two events A and B, the probability of A given B is related to the probability of B given A in a specific way.

Standard notation:

probability of A given B is written $$\Pr(A \mid B)$$
probability of B is written $$\Pr(B)$$

Bayes' Theorem:

Using the notation above, Bayes' Theorem can be written: $\Pr(A \mid B) = \frac{\Pr(B \mid A)\times \Pr(A)}{\Pr(B)}$Let's apply Bayes' Theorem to the Monty Hall problem. If you recall, we're told that behind three doors there are two goats and one car, all randomly placed. We initially choose a door, and then Monty, who knows what's behind the doors, always shows us a goat behind one of the remaining doors. He can always do this as there are two goats; if we chose the car initially, Monty picks one of the two doors with a goat behind it at random.

Assume we pick Door 1 and then Monty sho…

What's the Value of a Win?

In a previous entry I demonstrated one simple way to estimate an exponent for the Pythagorean win expectation. Another nice consequence of a Pythagorean win expectation formula is that it also makes it simple to estimate the run value of a win in baseball, the point value of a win in basketball, the goal value of a win in hockey etc.

Let our Pythagorean win expectation formula be $w=\frac{P^e}{P^e+1},$ where $$w$$ is the win fraction expectation, $$P$$ is runs/allowed (or similar) and $$e$$ is the Pythagorean exponent. How do we get an estimate for the run value of a win? The expected number of games won in a season with $$g$$ games is $W = g\cdot w = g\cdot \frac{P^e}{P^e+1},$ so for one estimate we only need to compute the value of the partial derivative $$\frac{\partial W}{\partial P}$$ at $$P=1$$. Note that $W = g\left( 1-\frac{1}{P^e+1}\right),$ and so $\frac{\partial W}{\partial P} = g\frac{eP^{e-1}}{(P^e+1)^2}$ and it follows $\frac{\partial W}{\partial P}(P=1) = … Solving a Math Puzzle using Physics The following math problem, which appeared on a Scottish maths paper, has been making the internet rounds. The first two parts require students to interpret the meaning of the components of the formula $$T(x) = 5 \sqrt{36+x^2} + 4(20-x)$$, and the final "challenge" component involves finding the minimum of $$T(x)$$ over $$0 \leq x \leq 20$$. Usually this would require a differentiation, but if you know Snell's law you can write down the solution almost immediately. People normally think of Snell's law in the context of light and optics, but it's really a statement about least time across media permitting different velocities. One way to phrase Snell's law is that least travel time is achieved when \[ \frac{\sin{\theta_1}}{\sin{\theta_2}} = \frac{v_1}{v_2},$ where $$\theta_1, \theta_2$$ are the angles to the normal and $$v_1, v_2$$ are the travel velocities in the two media.

In our puzzle the crocodile has an implied travel velocity of 1/5 in the water …