KRACH: Division II/III Men

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Rank	Team	Rating	RRWP	Win % Rk	W-L-T	Win %	Win Ratio	SOS Rk	SOS
1	Oswego	1511.	.8976	3	24-4-2	0.8333	5.000	10	302.3
2	St. Norbert	1145.	.8722	5	21-5-5	0.7581	3.133	3	365.5
3	Amherst	1091.	.8673	2	24-4-1	0.8448	5.444	20	200.3
4	Norwich	983.2	.8565	1	24-3-2	0.8621	6.250	33	157.3
5	Plattsburgh	824.4	.8369	6t	19-5-4	0.7500	3.000	13	274.8
6	Wisconsin-River Falls	555.7	.7870	15t	16-9-2	0.6296	1.700	6	326.9
7	Elmira	546.1	.7846	19t	15-9-3	0.6111	1.571	4	347.5
8	Neumann	524.5	.7790	14	15-8-3	0.6346	1.737	11	302.0
9	St. Scholastica	520.9	.7781	17	15-8-5	0.6250	1.667	7	312.5
10	St. Thomas	504.9	.7737	9	18-6-2	0.7308	2.714	22	186.0
11	Utica	497.0	.7714	18	15-9-2	0.6154	1.600	8	310.6
12	Hobart	459.0	.7600	19t	16-10-1	0.6111	1.571	12	292.1
13	Wisconsin-Stevens Point	457.4	.7595	31	14-11-4	0.5517	1.231	2	371.7
14	Gustavus Adolphus	445.7	.7556	13	17-7-5	0.6724	2.053	16	217.1
15	Wisconsin-Eau Claire	401.4	.7400	40	13-12-3	0.5179	1.074	1	373.7
16	Manhattanville	359.1	.7228	23	13-9-3	0.5800	1.381	14	260.0
17	Wisconsin-Superior	329.4	.7091	41	10-10-7	0.5000	1.000	5	329.4
18	Bowdoin	313.2	.7010	11	16-6-3	0.7000	2.333	37	134.2
19	Castleton	307.7	.6981	10	19-7-2	0.7143	2.500	40	123.1
20	Middlebury	278.2	.6815	25	14-10-3	0.5741	1.348	18	206.4
21	St. Olaf	273.3	.6785	26	13-9-6	0.5714	1.333	19	205.0
22	Adrian	268.2	.6754	4	20-6-1	0.7593	3.154	46	85.03
23	Williams	203.2	.6277	27t	12-9-5	0.5577	1.261	31	161.2
24	Buffalo State	198.5	.6236	39	13-12-2	0.5185	1.077	23	184.3
25	Milwaukee School of Engineering	191.7	.6175	6t	22-7-1	0.7500	3.000	50	63.90
26	Fredonia	189.1	.6151	37t	12-11-3	0.5192	1.080	28	175.1
27	Concordia (Minn.)	168.0	.5940	45	10-11-4	0.4800	0.923	25	182.0
28	Wentworth	167.4	.5934	8	21-7-1	0.7414	2.867	52	58.40
29	Wisconsin-Stout	155.1	.5796	61	8-17-2	0.3333	0.500	9	310.2
30	St. John's	153.9	.5783	46	11-13-2	0.4615	0.857	27	179.6
31	Geneseo	149.3	.5727	37t	13-12-1	0.5192	1.080	36	138.2
32	Hamline	141.0	.5624	49t	10-14-2	0.4231	0.733	21	192.2
33	Wesleyan	136.0	.5559	35t	12-11-2	0.5200	1.083	38	125.5
34	Augsburg	132.2	.5507	52t	10-14-1	0.4200	0.724	24	182.5
35	Tufts	124.0	.5391	35t	12-11-2	0.5200	1.083	41	114.5
36	Brockport	120.2	.5335	52t	9-13-3	0.4200	0.724	29	166.0
37	Plymouth State	97.42	.4953	12	17-7-3	0.6852	2.176	58	44.76
38	Bethel	91.84	.4846	59	8-15-2	0.3600	0.562	30	163.3
39	Trinity	89.09	.4791	54	9-13-2	0.4167	0.714	39	124.7
40	Curry	88.48	.4778	30	14-11-2	0.5556	1.250	48	70.78
41	Hamilton	88.26	.4774	57	8-14-3	0.3800	0.613	34	144.0
42	Southern Maine	86.43	.4736	42t	10-11-6	0.4815	0.929	44	93.08
43	Skidmore	85.84	.4724	42t	12-13-2	0.4815	0.929	45	92.44
44	St. Anselm	84.59	.4697	19t	14-8-5	0.6111	1.571	54	53.83
45	Potsdam	84.18	.4689	60	8-16-2	0.3462	0.529	32	159.0
46	Marian	82.37	.4650	24	13-9-4	0.5769	1.364	51	60.40
47	Massachusetts-Boston	81.71	.4635	27t	13-10-3	0.5577	1.261	49	64.81
48	Salem State	79.38	.4583	19t	15-9-3	0.6111	1.571	55	50.51
49	Babson	69.13	.4337	49t	9-13-4	0.4231	0.733	43	94.27
50	St. Mary's	67.42	.4293	70	5-18-2	0.2400	0.316	17	213.5
51	Connecticut College	65.28	.4236	65	6-15-3	0.3125	0.455	35	143.6
52	Massachusetts-Dartmouth	64.58	.4218	15t	16-9-2	0.6296	1.700	66	37.99
53	Lawrence	63.97	.4201	34	13-11-4	0.5357	1.154	53	55.44
54	Cortland	63.43	.4186	69	6-18-1	0.2600	0.351	26	180.5
55	New England College	62.56	.4162	48	9-12-5	0.4423	0.793	47	78.88
56	Morrisville	61.71	.4138	72	5-19-1	0.2200	0.282	15	218.8
57	Colby	52.64	.3865	62	7-15-1	0.3261	0.484	42	108.8
58	Western NE University	44.39	.3580	33	14-12-1	0.5370	1.160	63	38.27
59	Johnson and Wales	40.31	.3423	27t	13-10-3	0.5577	1.261	67	31.97
60	Nichols	29.67	.2947	42t	12-13-2	0.4815	0.929	68	31.95
61	Fitchburg State	27.91	.2857	49t	9-13-4	0.4231	0.733	65	38.06
62	Westfield State	24.37	.2661	58	7-14-5	0.3654	0.576	59	42.32
63	Worcester State	19.71	.2373	55	9-15-3	0.3889	0.636	70	30.98
64	Northland	19.59	.2364	66	6-16-3	0.3000	0.429	57	45.71
65	Finlandia	19.38	.2350	67	7-18-1	0.2885	0.405	56	47.81
66	Assumption	16.97	.2181	32	13-11-1	0.5400	1.174	75	14.46
67	Becker	16.11	.2116	56	9-15-2	0.3846	0.625	72	25.78
68	Framingham State	14.64	.2001	63	6-15-4	0.3200	0.471	69	31.10
69	St. Michael's	14.03	.1951	68	6-18-2	0.2692	0.368	64	38.08
70	Stonehill	12.36	.1808	47	10-12-3	0.4600	0.852	74	14.52
71	University of New England	10.21	.1604	73	4-19-2	0.2000	0.250	61	40.84
72	Lake Forest	8.813	.1459	74	5-22-0	0.1852	0.227	62	38.78
73	Salve Regina	8.557	.1431	70	6-19-0	0.2400	0.316	71	27.10
74	Concordia (Wis.)	6.786	.1224	75	2-20-3	0.1400	0.163	60	41.68
75	Franklin Pierce	4.877	.0967	64	5-13-4	0.3182	0.467	77	10.45
76	Suffolk	2.399	.0552	76	3-21-0	0.1250	0.143	73	16.79
77	So. New Hampshire	1.507	.0363	77	2-20-1	0.1087	0.122	76	12.36

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: Division II/III Men

Key

Basic Explanation

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