KRACH — Division III Men

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

Key

  • RRWP - Round Robin Winning Percentage. What your theoretical winning percentage would be if you played every other team, one time each.
  • Ratio - The Ratio of wins to losses (as opposed to Win %, which is wins divided by games).
  • SOS - Strength of Schedule

Basic Explanation

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

Shop.uscho.com
Hockey Humanitarian Award