The following statistical ranking is devised using an advanced mathematical method, which more fairly adjusts for imbalances in schedule strength than any other method currently in official use, including the system of comparisons (i.e. PWR) used by the NCAA. More details can be found below.
These rankings are not, in any way, part of the official NCAA selection process.
Rk | Team | KRACH | Record | Sched Strength | |||||
---|---|---|---|---|---|---|---|---|---|
Rating | RRWP | Rk | W-L-T | Win % | Win Ratio | Rk | SOS | ||
1 | St. Norbert | 1759. | .9299 | 1 | 27-1-4 | .9062 | 9.667 | 8 | 208.7 |
2 | Plattsburgh | 1068. | .8919 | 3 | 25-5-0 | .8333 | 5.000 | 5 | 230.3 |
3 | Elmira | 964.2 | .8824 | 4 | 20-4-5 | .7759 | 3.462 | 1 | 293.5 |
4 | Norwich | 587.0 | .8264 | 5 | 21-7-0 | .7500 | 3.000 | 9 | 204.8 |
5 | Manhattanville | 571.9 | .8230 | 8 | 18-7-3 | .6964 | 2.294 | 2 | 257.3 |
6 | Hobart | 526.4 | .8119 | 13 | 18-8-2 | .6786 | 2.111 | 3 | 256.5 |
7 | Adrian | 508. | .8069 | 2 | 24-3-0 | .8889 | 8.000 | 51 | 72.57 |
8 | St. Thomas | 492.2 | .8024 | 7 | 20-7-2 | .7241 | 2.625 | 10 | 194.6 |
9 | Oswego | 478.3 | .7983 | 6 | 18-6-2 | .7308 | 2.714 | 12 | 183.9 |
10 | Neumann | 471.3 | .7962 | 15t | 17-9-0 | .6538 | 1.889 | 4 | 255.8 |
11 | Wis.-River Falls | 354.1 | .7516 | 14 | 16-7-4 | .6667 | 2.000 | 13 | 181.8 |
12 | Wis.-Stout | 350.1 | .7497 | 18 | 18-9-3 | .6500 | 1.857 | 11 | 192.5 |
13 | Middlebury | 345.7 | .7476 | 12 | 16-7-2 | .6800 | 2.125 | 19 | 167.9 |
14 | Utica | 306.0 | .7267 | 26 | 15-10-1 | .5962 | 1.476 | 6 | 210.4 |
15 | Babson | 297.6 | .7218 | 10 | 15-6-3 | .6875 | 2.200 | 32 | 140.1 |
16 | Bowdoin | 295.9 | .7207 | 11 | 15-7-0 | .6818 | 2.143 | 30 | 143.2 |
17 | Wis.-Superior | 287.1 | .7154 | 19 | 13-6-8 | .6296 | 1.700 | 15 | 172.3 |
18 | Amherst | 275.0 | .7076 | 20 | 14-8-2 | .6250 | 1.667 | 18 | 168.6 |
19 | Hamline | 273.4 | .7065 | 15t | 15-7-4 | .6538 | 1.889 | 25 | 148.4 |
20 | Bethel | 266.9 | .7020 | 17 | 14-7-2 | .6522 | 1.875 | 28 | 146.4 |
21 | Wis.-Stevens Point | 244.8 | .6858 | 27t | 14-9-4 | .5926 | 1.455 | 17 | 170.6 |
22 | Fredonia | 239.6 | .6818 | 22 | 15-9-3 | .6111 | 1.571 | 22 | 155.1 |
23 | Trinity | 221.3 | .6664 | 27t | 15-10-2 | .5926 | 1.455 | 23 | 154.2 |
24 | Colby | 206.2 | .6525 | 29 | 13-9-1 | .5870 | 1.421 | 27 | 147.3 |
25 | New England College | 195. | .6413 | 21 | 14-8-3 | .6200 | 1.632 | 41 | 121.9 |
26 | St. John's | 184.3 | .6299 | 36 | 13-12-2 | .5185 | 1.077 | 16 | 171.6 |
27 | Southern Maine | 173.4 | .6174 | 23t | 13-8-3 | .6042 | 1.526 | 42 | 115.6 |
28 | St. Scholastica | 170.3 | .6137 | 43 | 10-13-5 | .4464 | 0.806 | 7 | 209.6 |
29 | Gustavus Adolphus | 169.4 | .6126 | 35 | 13-12-1 | .5192 | 1.080 | 21 | 157.3 |
30 | Castleton | 148.6 | .5851 | 33 | 12-10-2 | .5417 | 1.182 | 39 | 126.6 |
31 | Salem State | 144.3 | .5788 | 32 | 14-11-1 | .5577 | 1.261 | 43 | 115.4 |
32 | Wis.-Eau Claire | 125.9 | .5498 | 47 | 11-16-1 | .4107 | 0.697 | 14 | 178.4 |
33 | Potsdam | 116.7 | .5334 | 44 | 10-13-4 | .4444 | 0.800 | 29 | 144.7 |
34 | Williams | 106.3 | .5131 | 49t | 7-12-4 | .3913 | 0.643 | 20 | 162.2 |
35 | St. Olaf | 106.2 | .5130 | 45 | 9-12-4 | .4400 | 0.786 | 37 | 133.9 |
36 | Marian | 105.3 | .5112 | 31 | 13-10-1 | .5625 | 1.286 | 49 | 82.77 |
37 | Mass.-Boston | 94.92 | .4887 | 40 | 10-12-2 | .4583 | 0.846 | 44 | 111.4 |
38 | Wesleyan | 94.75 | .4884 | 52 | 7-12-3 | .3864 | 0.630 | 26 | 147.4 |
39 | St. Mary's | 93.84 | .4863 | 48 | 9-14-2 | .4000 | 0.667 | 34 | 138.5 |
40 | Conn. College | 91.00 | .4797 | 49t | 8-13-2 | .3913 | 0.643 | 33 | 138.9 |
41 | Buffalo State | 87.53 | .4713 | 39 | 10-12-4 | .4615 | 0.857 | 46 | 101.5 |
42 | Curry | 84.70 | .4643 | 30 | 12-9-1 | .5682 | 1.316 | 53 | 65.15 |
43 | Finlandia | 79.14 | .4498 | 25 | 14-9-2 | .6000 | 1.500 | 55 | 53.61 |
44 | Cortland | 78.52 | .4481 | 38 | 11-12-3 | .4808 | 0.926 | 48 | 84.56 |
45 | Nichols | 69.67 | .4229 | 9 | 14-6-1 | .6905 | 2.231 | 61 | 32.51 |
46 | Milw School of Eng | 67.96 | .4177 | 37 | 13-13-0 | .5000 | 1.000 | 52 | 67.96 |
47 | Geneseo | 64.35 | .4064 | 56 | 8-17-0 | .3200 | 0.471 | 38 | 132.5 |
48 | Mass.-Dartmouth | 63.91 | .4050 | 23t | 14-9-1 | .6042 | 1.526 | 59 | 42.61 |
49 | Augsburg | 54.74 | .3736 | 59 | 6-17-2 | .2800 | 0.389 | 36 | 135.0 |
50 | Hamilton | 54.29 | .3720 | 61 | 5-16-1 | .2500 | 0.333 | 24 | 153.8 |
51 | Skidmore | 51.66 | .3622 | 58 | 7-16-1 | .3125 | 0.455 | 45 | 109.8 |
52 | Brockport | 47.24 | .3448 | 55 | 7-15-3 | .3400 | 0.515 | 47 | 89.23 |
53 | Tufts | 38.61 | .3075 | 62 | 5-17-0 | .2273 | 0.294 | 40 | 122.9 |
54 | Lawrence | 34.18 | .2861 | 46 | 8-12-3 | .4130 | 0.704 | 57 | 47.85 |
55 | Fitchburg State | 30.96 | .2695 | 34 | 9-8-4 | .5238 | 1.100 | 63 | 28.26 |
56 | Lake Forest | 23.58 | .2273 | 64 | 3-23-1 | .1296 | 0.149 | 31 | 141.5 |
57 | Suffolk | 20.40 | .2069 | 41t | 9-11-0 | .4500 | 0.818 | 65 | 24.70 |
58 | Wentworth | 20.30 | .2062 | 54 | 7-14-1 | .3409 | 0.517 | 60 | 38.06 |
59 | Becker | 18.39 | .1931 | 41t | 8-10-2 | .4500 | 0.818 | 66 | 22.26 |
60 | Salve Regina | 18.32 | .1927 | 51 | 6-10-2 | .3889 | 0.636 | 64 | 28.09 |
61 | Plymouth State | 17.86 | .1895 | 53 | 6-11-3 | .3750 | 0.600 | 62 | 29.03 |
62 | Morrisville | 13.93 | .1600 | 63 | 5-20-0 | .2000 | 0.250 | 56 | 51.92 |
63 | Concordia MN | 12.45 | .1479 | 68 | 1-21-1 | .0652 | 0.070 | 35 | 137. |
64 | Johnson and Wales | 9.824 | .1249 | 57 | 6-13-0 | .3158 | 0.462 | 68 | 20.40 |
65 | Lebanon Valley | 6.856 | .0957 | 69 | 1-23-1 | .0600 | 0.064 | 50 | 82.27 |
66 | Western NE College | 6.609 | .0931 | 60 | 5-15-1 | .2619 | 0.355 | 69 | 17.62 |
67 | Concordia WI | 5.763 | .0838 | 66 | 2-23-0 | .0800 | 0.087 | 54 | 54.17 |
68 | Northland | 3.091 | .0507 | 70 | 1-22-0 | .0435 | 0.045 | 58 | 46.37 |
69 | Worcester State | 2.494 | .0421 | 65 | 2-17-0 | .1053 | 0.118 | 70 | 17.46 |
70 | Framingham State | 2.149 | .0369 | 67 | 1-18-1 | .0750 | 0.081 | 67 | 20.41 |
KRACH -- or "Ken's Ratings for American College Hockey" -- is the implementation for college hockey of a sophisticated mathematical model known as the Bradley-Terry rating system, first applied to college hockey by a statistician named Ken Butler.
(Also see the more complete explanation.)This method is based on a statistical technique called logistic regression, in essence meaning that teams' ratings are determined directly from their won-loss records against one another. A key feature of KRACH is that strength of schedule is calculated directly from the ratings themselves, meaning that KRACH, unlike many ratings (including RPI) cannot easily be distorted by teams with strong records against weak opposition.
The ratings are on an odds scale, so if Team A's KRACH rating is three times as large as Team B's, Team A would be expected to amass a winning percentage of .750 and Team B a winning percentage of .250 if it played each other enough times. The correct ratings are defined such that the "expected" winning percentage for a team in the games it's already played is equal to its "actual" winning percentage.
An alternative definition of a team's KRACH rating is as the product of its Winning Ratio (winning percentage divided by one minus winning percentage) with the weighted average of its opponents' KRACH ratings. (The definition of the weighting factor makes this equivalent to the first definition of the KRACH ratings.) In addition to KRACH and RRWP, the table above lists each team's Winning Percentage, Winning Ratio and Strength of Schedule (the aforementioned weighted average of their opponents' KRACH ratings).
Note: A team's record is based only on games against other Division III hockey schools which are eligible for the NCAA Tournament. In particular, only non-exhibition matchups between schools in the eight conferences count towards a team's record as used in the KRACH on this page. Other games, including contests against Canadian schools and D-I and D-II programs, are not counted.
More detailed explanations of the KRACH ratings can be found under the following links