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KRACH: Division I Men

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RankTeamRatingRRWPWin % RkW-L-TWin %Win RatioSOS RkSOS
1Minnesota State970.9.8653513-4-00.76473.2503298.7
2Michigan Tech810.9.8454213-3-00.81254.3337187.1
3Minnesota-Duluth807.3.844913t12-6-00.66672.0001403.7
4Nebraska-Omaha783.0.84141010-4-20.68752.2002355.9
5Harvard741.6.834919-1-20.83335.00016148.3
6Miami630.8.81471011-5-00.68752.2004286.7
7Bowling Green558.3.79846t11-3-20.75003.0008186.1
8North Dakota497.4.7823813-4-20.73682.80010177.7
9Boston University388.2.74536t11-3-20.75003.00019129.4
10Minnesota370.2.7378129-4-10.67862.11111175.3
11Denver319.5.714013t10-5-00.66672.00014159.7
12Vermont310.8.7095313-3-10.79413.8574280.59
13Massachusetts-Lowell297.6.7022910-3-30.71882.55625116.5
14Providence246.2.6696209-6-10.59381.46212168.5
15Quinnipiac227.0.65511610-5-10.65621.90923118.9
16Yale201.8.6338186-3-20.63641.75026115.3
17Merrimack193.8.62641710-5-20.64711.83330105.7
18Dartmouth185.3.6181246-4-10.59091.44421128.3
19Cornell180.7.613531t5-5-10.50001.0009180.7
20St. Cloud State176.3.608838t6-9-10.40620.6845257.6
21Penn State162.5.593613t9-4-20.66672.0004181.26
22Colgate146.3.5736209-6-10.59381.46232100.1
23Boston College136.3.560126t9-7-10.55881.26729107.6
24Bemidji State134.8.5580435-10-30.36110.5656238.6
25Union129.8.5505209-6-10.59381.4623888.78
26Michigan125.0.5433298-7-00.53331.14328109.3
27Alaska115.7.52832810-8-00.55561.2503592.53
28St. Lawrence114.8.526931t8-8-10.50001.00027114.8
29Western Michigan110.8.520036t6-8-20.43750.77817142.5
30Notre Dame103.5.506731t8-8-20.50001.00031103.5
31Clarkson96.95.4940356-8-40.44440.80022121.2
32Ohio State95.73.4915425-9-10.36670.57913165.4
33Northern Michigan91.41.4825208-5-30.59381.4624662.54
34Robert Morris86.41.4716411-2-30.78123.5715924.19
35Mercyhurst77.92.4515198-5-20.60001.5004951.95
36Connecticut76.45.4478483-8-40.33330.50015152.9
37Ferris State73.62.440626t9-7-10.55881.2674858.12
38Northeastern70.05.431045t5-10-10.34380.52418133.7
39Rensselaer60.87.4042476-12-10.34210.52024117.1
40Michigan State54.66.383938t6-9-10.40620.6844479.89
41Alaska-Anchorage46.68.354836t5-7-40.43750.7784760.01
42Bentley46.30.3533309-8-20.52631.1115341.67
43Holy Cross44.98.3481257-5-40.56251.2865734.99
44New Hampshire43.22.340845t5-10-10.34380.5244082.50
45Brown33.62.2969503-8-00.27270.3753689.66
46Maine31.09.283751t4-13-10.25000.3333493.26
47Princeton30.74.2819572-10-10.19230.23820129.1
48Canisius30.65.281431t6-6-50.50001.0005830.65
49RIT28.85.271438t5-8-30.40620.6845242.16
50Sacred Heart28.42.2690415-9-20.37500.6005147.36
51Air Force27.05.2610445-10-20.35290.5455049.59
52Massachusetts26.84.259851t4-12-00.25000.3334380.53
53Colorado College25.67.2528543-11-10.23330.3043984.35
54Alabama-Huntsville19.35.2105553-13-20.22220.2864567.74
55Lake Superior15.81.1829583-17-00.15000.1763789.57
56Army15.78.1827494-12-20.27780.3855441.03
57Wisconsin13.64.1643591-10-10.12500.1433395.47
58American International12.38.1528532-11-40.23530.3085540.25
59Niagara10.16.1310563-12-10.21880.2805636.30

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
  • **Win Ratio is infinite

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.

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).

KRACH is provided for entertainment purposes only and is not used in any official way, nor is it endorsed by USCHO.com.