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KRACH: Division II/III Men

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RankTeamRatingRRWPWin % RkW-L-TWin %Win RatioSOS RkSOS
1Massachusetts-Boston2345..94311t10-0-01.0000**35111.7
2Wisconsin-River Falls2248..94101t11-0-01.0000**4397.72
3Babson1974..93391t11-0-01.0000**5185.81
4St. Norbert1248..9029410-0-10.954521.00032113.5
5Norwich1094..892059-0-10.950019.00037109.4
6Trinity862.6.8699106-1-10.81254.3332246.5
7Plattsburgh751.4.85558t9-2-00.81824.5007197.7
8Adrian602.4.82976t10-2-00.83335.00019143.4
9Wisconsin-Stevens Point587.6.82668t9-2-00.81824.50015154.6
10Oswego564.0.8214117-1-20.80004.00011165.9
11Amherst492.3.803212t6-2-00.75003.0008189.3
12Neumann375.7.762914t6-2-20.70002.33310175.3
13Wisconsin-Eau Claire305.2.728317t7-3-20.66672.00012161.6
14Hobart293.7.721622t6-4-00.60001.5005203.3
15Nazareth280.4.713434t4-4-30.50001.0001280.4
16Williams265.7.7036165-2-10.68752.20025132.9
17Elmira224.2.671534t4-4-20.50001.0003224.2
18Geneseo219.7.667526t6-4-10.59091.44414157.0
19Bowdoin210.8.659312t7-2-10.75003.0005679.05
20St. John's210.3.6589216-3-30.62501.66726131.4
21Utica201.6.650534t5-5-20.50001.0006201.6
22Lake Forest200.7.649519t6-3-20.63641.75028120.4
23Suffolk195.0.64376t7-1-10.83335.0006948.75
24Brockport185.9.634032t6-5-10.54171.18213159.4
25Augsburg164.8.6090306-5-00.54551.20022139.5
26Manhattanville153.3.5937305-4-20.54551.20027129.8
27Morrisville153.2.593444t4-5-30.45830.8469178.7
28St. Thomas152.2.592126t5-3-30.59091.44438108.7
29Hamilton142.2.577434t3-3-20.50001.00020142.2
30Concordia (Minn.)140.0.5740286-4-30.57691.36440105.0
31Nichols136.0.567814t6-2-20.70002.3336563.47
32Buffalo State128.8.555957t3-6-20.36360.5714214.6
33Potsdam123.0.545946t4-5-10.45000.81818147.6
34Hamline113.5.528134t4-4-30.50001.00031113.5
35St. Michael's111.6.524322t5-3-20.60001.5005777.23
36Curry111.5.524232t6-5-10.54171.1824495.61
37Tufts110.9.522934t4-4-10.50001.00036110.9
38St. Scholastica108.8.518622t6-4-00.60001.5006075.30
39Cortland101.6.5035435-6-20.46150.85729117.2
40Marian100.9.5019505-7-00.41670.71423137.6
41St. Mary's96.78.492754t2-4-20.37500.60016152.1
42Middlebury95.95.490854t2-4-20.37500.60017150.8
43Stonehill86.33.467417t5-2-20.66672.0007046.49
44Plymouth State79.75.449922t5-3-20.60001.5006755.21
45St. Anselm76.56.440946t4-5-10.45000.8184691.87
46Salve Regina73.44.431834t4-4-20.50001.0006173.44
47Colby72.61.429354t2-4-20.37500.60030114.1
48Connecticut College69.98.4213632-5-10.31250.45521140.0
49Gustavus Adolphus68.72.417344t3-4-50.45830.8465580.18
50Johnson and Wales67.69.414034t5-5-10.50001.0006267.69
51Wentworth67.16.412334t5-5-10.50001.0006367.16
52Milwaukee School of Engineering64.65.404251t4-6-00.40000.6674593.39
53Fredonia63.87.4015612-5-30.35000.53834111.8
54Lawrence62.46.3968495-7-10.42310.7335283.28
55New England College60.72.390851t3-5-20.40000.6675087.71
56Castleton59.81.3876624-8-00.33330.50033113.0
57Westfield State58.49.382919t7-4-00.63641.7507635.10
58Salem State53.28.3634295-4-00.55561.2507143.59
59Wesleyan52.35.359869t2-6-00.25000.33324136.1
60St. Olaf48.19.3429643-8-10.29170.41239108.4
61Wisconsin-Superior45.48.331357t4-7-00.36360.5715875.80
62Concordia (Wis.)38.67.300057t4-7-00.36360.5716464.45
63University of New England34.22.277565t3-8-00.27270.3755383.11
64So. New Hampshire33.39.2731484-5-00.44440.8007340.81
65Wisconsin-Stout30.99.260069t2-7-10.25000.3335482.64
66Bethel30.38.2565742-9-10.20830.26342101.3
67Skidmore25.13.2253732-8-10.22730.2945975.39
68Massachusetts-Dartmouth24.63.222265t2-7-20.27270.3756659.83
69Assumption22.74.2099535-8-00.38460.6257535.14
70Fitchburg State20.85.197257t3-6-20.36360.5717734.74
71Canton20.48.1946761-9-10.13640.15841102.4
72Franklin Pierce20.05.191669t3-9-00.25000.3336854.43
73Becker15.32.156465t3-8-00.27270.3757437.20
74Northland14.93.1533771-11-10.11540.1304889.57
75Southern Maine13.91.1450781-9-00.10000.1114988.09
76Finlandia12.85.1362791-10-00.09090.1004789.98
77Framingham State12.26.131169t2-7-10.25000.3337832.68
78Worcester State10.91.119265t2-7-20.27270.3757926.50
79Western NE University9.417.1055751-8-10.15000.1767242.38

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.