Quantcast

KRACH — Division I 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 Miami 495.1 .8200 1 20-4-6 .7667 3.286 11 158.0
2 Denver 452. .8066 3 18-6-4 .7143 2.500 4 187.4
3 Wisconsin 385.5 .7815 5t 16-7-4 .6667 2.000 1 198.
4 St. Cloud State 350.3 .7654 5t 18-8-4 .6667 2.000 7 179.4
5 Colorado College 292.1 .7328 11t 17-10-3 .6167 1.609 6 184.5
6 Minnesota-Duluth 266.3 .7152 11t 18-11-1 .6167 1.609 8 168.2
7 Bemidji State 250.2 .7030 2 18-6-2 .7308 2.714 35 96.25
8 Boston College 246.9 .7003 8 16-8-2 .6538 1.889 20 134.0
9 North Dakota 229.4 .6855 21 13-10-5 .5536 1.240 5 186.4
10 Maine 227.2 .6836 14 14-9-3 .5962 1.476 13 156.2
11 Vermont 210.7 .6679 17 13-9-4 .5769 1.364 12 156.3
12 Michigan State 205.0 .6622 13 17-10-5 .6094 1.560 22 133.3
13 Ferris State 203.1 .6602 10 17-9-4 .6333 1.727 30 119.8
14 New Hampshire 199.5 .6564 20 13-10-4 .5556 1.250 10 160.9
15 Massachusetts 188.3 .6440 15 16-11-0 .5926 1.455 24 131.3
16 Cornell 179.4 .6335 7 13-6-3 .6591 1.933 36 95.70
17 Yale 175.1 .6282 4 14-6-3 .6739 2.067 39 87.57
18 Michigan 169.4 .6209 22t 16-13-1 .5500 1.222 17 139.5
19 Minnesota 167.6 .6184 32t 13-13-2 .5000 1.000 9 167.6
20 Union 159.8 .6079 9 15-7-6 .6429 1.800 37 90.69
21 Northern Michigan 155.4 .6017 29 12-10-8 .5333 1.143 18 136.6
22 Alaska 154.1 .5998 25t 11-9-8 .5357 1.154 19 134.2
23 Lake Superior 143.1 .5830 22t 14-11-5 .5500 1.222 32 117.9
24 Nebraska-Omaha 141.2 .5800 30 14-12-6 .5312 1.133 27 125.1
25 Northeastern 140.5 .5787 31 13-12-1 .5192 1.080 25 130.4
26 Boston University 138.6 .5756 36 11-12-3 .4808 0.926 15 149.2
27 Mass.-Lowell 137.4 .5737 25t 14-12-2 .5357 1.154 31 119.7
28 Minnesota State 127.8 .5570 38 12-14-2 .4643 0.867 16 146.7
29 Alaska-Anchorage 126.9 .5554 44 10-16-2 .3929 0.647 3 193.1
30 Ohio State 126.8 .5552 39t 11-14-3 .4464 0.806 14 156.1
31 Notre Dame 125.1 .5521 35 12-13-7 .4844 0.939 23 133.
32 St. Lawrence 106.4 .5145 19 14-10-5 .5690 1.320 42 81.39
33 Rensselaer 106. .5135 22t 15-12-3 .5500 1.222 40 87.27
34 Merrimack 90.49 .4767 43 10-15-0 .4000 0.667 21 133.6
35 Quinnipiac 87.79 .4697 25t 14-12-2 .5357 1.154 45 76.47
36 Western Michigan 79.61 .4471 46 8-15-5 .3750 0.600 26 130.3
37 Providence 75.03 .4335 47 9-16-2 .3704 0.588 28 125.0
38 Princeton 74.41 .4316 37 10-11-2 .4783 0.917 43 80.88
39 Colgate 73.39 .4285 32t 11-11-5 .5000 1.000 47 73.39
40 Robert Morris 70.91 .4207 45 8-14-5 .3889 0.636 33 109.6
41 Niagara 53.54 .3586 51 7-15-4 .3462 0.529 34 98.62
42 Michigan Tech 51.01 .3484 57 5-22-1 .1964 0.244 2 195.5
43 Sacred Heart 49.13 .3405 18 14-10-4 .5714 1.333 52 37.22
44 Alabama-Huntsville 46.99 .3312 49 7-13-2 .3636 0.571 44 80.16
45 RIT 44.87 .3218 16 16-11-1 .5893 1.435 57 31.67
46 Harvard 43.10 .3137 52 6-14-3 .3261 0.484 41 86.20
47 Brown 41.38 .3056 48 7-13-3 .3696 0.586 48 68.97
48 Canisius 38.96 .2938 25t 13-11-4 .5357 1.154 55 33.93
49 Bowling Green 37.65 .2872 56 4-19-4 .2222 0.286 29 124.5
50 Air Force 33.32 .2645 32t 12-12-6 .5000 1.000 56 33.32
51 Army 30.82 .2505 39t 10-13-5 .4464 0.806 49 37.93
52 Bentley 30.54 .2489 39t 11-14-3 .4464 0.806 50 37.59
53 Dartmouth 30.44 .2484 53 6-16-1 .2826 0.394 46 73.94
54 Clarkson 28.59 .2376 54 5-20-3 .2321 0.302 38 89.85
55 Mercyhurst 28.22 .2354 42 12-16-2 .4333 0.765 53 36.58
56 Holy Cross 18.86 .1740 50 7-15-5 .3519 0.543 54 33.94
57 American Int'l 9.878 .1017 55 5-19-2 .2308 0.300 58 31.15
58 Connecticut 9.320 .0967 58 4-22-3 .1897 0.234 51 37.28

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 I hockey schools which are eligible for the NCAA Tournament. In particular, only non-exhibition matchups between schools in the six major conferences count towards a team's record as used in the KRACH on this page. Other games, including contests against Canadian schools and tournament-ineligible D-I programs, are not counted.

More detailed explanations of the KRACH ratings can be found under the following links

twitter
twitter
Dish Network ices the cable TV competition. Score the best seats to every game from the comfort of home when you sign up for Dish Network