I'm changing the formula for calculating RPICH as of this week. The
formula, which attempts to be the same as that used in calculating the
Rating Percentage Index for baseball, basketball, and hockey, has been
(winning percentage * 20%) + (opponents' winning percentage * 40%) +
(opponents' opponents' winning percentage * 40%). According to an article
that appeared in The_Post-Standard of Syracuse, NY, on February 23, the
Rating Percentage Index now weights those three factors by 25%, 50%, and 25%
respectively. RPICH now also includes Div1 games played by Mass Amherst, in
recognition of its status as an affiliate member of Hockey East. Here's the
new, improved RPICH for this week, followed by a report using the old
formula for comparison. The 20-40-40 formula will not appear after this week.
Any questions should be addressed directly to me. If there is sufficient
interest, I will summarize and report back to the list.
Thanks to Bill Fenwick for finding the relevant article in The_Post-Standard.
-- Erik
Rating Percentage Index for College Hockey, compiled by Erik Biever
This report includes the 663 games through 02/27/94 between teams eligible
for the Division 1 tournament plus Mass Amherst. To remain consistent with
NCAA statistical bylaws, Maine's forfeited wins over Providence are counted
as victories for Maine.
Opp OppOpp
G W L T Win% Win% Win% RPICH
1 Boston University 31 23- 7- 1 .7581 .5776 .5180 .6078
2 Michigan 34 28- 5- 1 .8382 .5101 .4958 .5886
3 Harvard 25 18- 4- 3 .7800 .4771 .4895 .5559
4 New Hampshire 32 19-11- 2 .6250 .5344 .5188 .5531
5 Maine 32 16-12- 4 .5625 .5617 .5185 .5511
6 Minnesota 34 19-11- 4 .6176 .5273 .5177 .5475
7 Mass Lowell 33 18- 8- 7 .6515 .5109 .5136 .5467
8 Wisconsin 34 20-13- 1 .6029 .5284 .5151 .5437
9 Colorado College 34 21- 9- 4 .6765 .4905 .5160 .5434
10 Northeastern 33 17-11- 5 .5909 .5265 .5291 .5432
11 Lake Superior 35 22- 9- 4 .6857 .4896 .5050 .5425
12 Northern Michigan 34 19-14- 1 .5735 .5281 .5147 .5361
13 Western Michigan 32 19-10- 3 .6406 .4999 .4975 .5345
14 Michigan State 32 17-10- 5 .6094 .5086 .5029 .5324
15 Miami 30 16-13- 1 .5500 .5239 .4993 .5243
16 Boston College 32 15-13- 4 .5313 .5198 .5169 .5219
17 RPI 27 15- 8- 4 .6296 .4782 .4848 .5177
18 St Cloud 32 17-11- 4 .5938 .4794 .5173 .5175
19 Alaska-Anchorage 32 15-15- 2 .5000 .5241 .5087 .5142
20 Brown 25 13- 8- 4 .6000 .4803 .4841 .5112
21 Clarkson 26 14- 8- 4 .6154 .4715 .4852 .5109
22 Bowling Green 31 16-13- 2 .5484 .4924 .4928 .5065
23 Minnesota-Duluth 34 13-18- 3 .4265 .5355 .5087 .5015
24 Vermont 27 11-10- 6 .5185 .4916 .4866 .4971
25 Denver 34 15-17- 2 .4706 .4972 .5110 .4940
26 Merrimack 30 11-17- 2 .4000 .5201 .5168 .4892
27 Providence 31 11-17- 3 .4032 .5188 .5106 .4879
28 North Dakota 34 10-20- 4 .3529 .5401 .5071 .4850
29 Colgate 26 12-12- 2 .5000 .4601 .4819 .4755
30 Union 22 9- 9- 4 .5000 .4571 .4748 .4722
31 Alaska-Fairbanks 29 18-11- 0 .6207 .3888 .4871 .4713
32 Michigan Tech 37 9-23- 5 .3108 .5230 .5082 .4663
33 Ferris State 34 12-21- 1 .3676 .4963 .4993 .4649
34 Cornell 25 7-13- 5 .3800 .4926 .4870 .4630
35 Notre Dame 33 8-20- 5 .3182 .5086 .4978 .4583
36 Illinois-Chicago 34 9-23- 2 .2941 .5147 .4959 .4548
37 Princeton 24 8-13- 3 .3958 .4647 .4744 .4499
38 Ohio State 28 5-18- 5 .2679 .4948 .4998 .4393
39 Kent 34 10-22- 2 .3235 .4700 .4920 .4389
40 St Lawrence 28 9-19- 0 .3214 .4477 .4840 .4252
41 Dartmouth 25 5-19- 1 .2200 .4964 .4817 .4236
42 Air Force 20 5-15- 0 .2500 .4687 .4697 .4143
43 Yale 25 4-20- 1 .1800 .4737 .4776 .4012
44 Army 15 1-14- 0 .0667 .4200 .4672 .3435
45 Mass Amherst 7 1- 6- 0 .1429 .3767 .4500 .3366
RPICH is calculated by the Rating Percentage Index method, used as a tool
in selecting teams for the national collegiate tournaments in basketball,
baseball, and hockey. Ratings are derived by summing each team's winning
percentage, the average winning percentage of its opponents, and the average
winning percentage of its opponents' opponents, multiplied by 25%, 50%, and
25% respectively. Factors such as home ice and margin of victory are not
included. No individual game is weighted more heavily than any other.
RPICH IS PRODUCED INDEPENDENTLY OF THE NCAA.
// Now, here's RPICH calculated with the old 20-40-40 formula //
Opp OppOpp *OLD
G W L T Win% Win% Win% RPICH
1 Boston University 31 23- 7- 1 .7581 .5710 .5171 .5869*
2 Michigan 34 28- 5- 1 .8382 .5085 .4959 .5694*
3 New Hampshire 32 19-11- 2 .6250 .5289 .5167 .5432*
4 Maine 32 16-12- 4 .5625 .5553 .5177 .5417*
5 Minnesota 34 19-11- 4 .6176 .5273 .5164 .5410*
6 Harvard 25 18- 4- 3 .7800 .4739 .4865 .5402*
7 Mass Lowell 33 18- 8- 7 .6515 .5085 .5112 .5382*
8 Wisconsin 34 20-13- 1 .6029 .5276 .5148 .5375*
9 Northeastern 33 17-11- 5 .5909 .5205 .5276 .5374*
10 Colorado College 34 21- 9- 4 .6765 .4905 .5146 .5373*
11 Lake Superior 35 22- 9- 4 .6857 .4888 .5043 .5344*
12 Northern Michigan 34 19-14- 1 .5735 .5281 .5136 .5314*
13 Western Michigan 32 19-10- 3 .6406 .4991 .4964 .5264*
14 Michigan State 32 17-10- 5 .6094 .5086 .5019 .5261*
15 Miami 30 16-13- 1 .5500 .5239 .4979 .5188*
16 Boston College 32 15-13- 4 .5313 .5152 .5153 .5184*
17 St Cloud 32 17-11- 4 .5938 .4794 .5158 .5168*
18 Alaska-Anchorage 32 15-15- 2 .5000 .5223 .5089 .5125*
19 RPI 27 15- 8- 4 .6296 .4724 .4844 .5086*
20 Brown 25 13- 8- 4 .6000 .4771 .4813 .5034*
21 Clarkson 26 14- 8- 4 .6154 .4674 .4827 .5031*
22 Bowling Green 31 16-13- 2 .5484 .4903 .4927 .5029*
23 Minnesota-Duluth 34 13-18- 3 .4265 .5339 .5082 .5021*
24 Merrimack 28 9-17- 2 .3571 .5431 .5221 .4975*
25 Denver 34 15-17- 2 .4706 .4949 .5112 .4966*
26 Vermont 27 11-10- 6 .5185 .4871 .4844 .4923*
27 Providence 31 11-17- 3 .4032 .5127 .5103 .4898*
28 North Dakota 34 10-20- 4 .3529 .5382 .5069 .4886*
29 Alaska-Fairbanks 27 16-11- 0 .5926 .4032 .4942 .4775*
30 Michigan Tech 37 9-23- 5 .3108 .5222 .5077 .4741*
31 Colgate 26 12-12- 2 .5000 .4530 .4822 .4741*
32 Ferris State 34 12-21- 1 .3676 .4944 .4990 .4709*
33 Union 22 9- 9- 4 .5000 .4523 .4741 .4706*
34 Notre Dame 33 8-20- 5 .3182 .5077 .4973 .4656*
35 Cornell 25 7-13- 5 .3800 .4881 .4846 .4651*
36 Illinois-Chicago 34 9-23- 2 .2941 .5130 .4953 .4621*
37 Princeton 23 7-13- 3 .3696 .4752 .4749 .4540*
38 Ohio State 28 5-18- 5 .2679 .4948 .4986 .4510*
39 Kent 34 10-22- 2 .3235 .4686 .4932 .4494*
40 St Lawrence 27 8-19- 0 .2963 .4560 .4844 .4354*
41 Dartmouth 25 5-19- 1 .2200 .4913 .4797 .4324*
42 Air Force 20 5-15- 0 .2500 .4603 .4733 .4234*
43 Yale 25 4-20- 1 .1800 .4691 .4750 .4136*
44 Army 14 1-13- 0 .0714 .4421 .4736 .3806*
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