RPICH (Rating Percentage Index for College Hockey) is my implementation
of the Rating Percentage Index (RPI) method that has been used the NCAA
committees in hockey, basketball, and baseball.
 
RPI ratings have been used by Division 1 Ice Hockey Committee as a tool for
selecting and seeding the teams for the national tournament.  While RPICH
is not and has not been supplied to the Committee, it should be identical
to the official ratings.
 
The method isn't a secret; it has been well-documented in the press and
here on HOCKEY-L.  Start with the results of non-exhibition games between
the 44 schools eligible for the Div1 tournament (they each play at least
20 games against Div1 opponents).  Calculate the Winning Percentage (WP)
of each team ((wins*2 + ties) / games*2).  Now, for each team calculate
the Opponents' Winning Percentage (OWP) by summing the WP of the opponent
in each game (exclusive of games against that team) and dividing by the
number of games.  Calculate the Opponents' Opponents' Winning Percentage
(OOWP) for each team by summing the OWP of the opponent in each game and
dividing by the number of games.  Finally, RPICH = (WP*.25) + (OWP*.5)
+ (OOWP*.25).
 
Now, the disclaimer:  RPICH IS BASED ON SCORES COMPILED AND CALCULATIONS
PERFORMED INDEPENDENT OF THE NCAA AND ANY AGENTS THEREOF.
 
If you have any questions, please send them to me ([log in to unmask])
and I'll try to address them all.  In the meantime, here's the first RPICH
of the season.
 
* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * *
 
Rating Percentage Index for College Hockey, compiled by Erik Biever
 
This report includes the 291 games through 12/11/94 between teams eligible
for the Division 1 tournament.
 
                                                 Opp     OppOpp
                         G    W  L  T    Win%    Win%    Win%   RPICH
 1  Maine               17   12- 0- 5   .8529   .5482   .5389   .6221
 2  Colorado College    16   13- 3- 0   .8125   .5456   .5135   .6043
 3  Boston University   15    9- 3- 3   .7000   .5988   .4912   .5972
 4  Denver              16   11- 5- 0   .6875   .5499   .5233   .5776
 5  Minnesota           14    9- 4- 1   .6786   .5456   .5192   .5722
 6  Brown                8    6- 2- 0   .7500   .5069   .5096   .5684
 7  Michigan            15   11- 4- 0   .7333   .5152   .4965   .5651
 8  Michigan State      16   11- 4- 1   .7188   .5231   .4940   .5648
 9  New Hampshire       15   10- 3- 2   .7333   .4801   .5219   .5538
10  Harvard             11    5- 5- 1   .5000   .5939   .4922   .5450
11  Northeastern        16    8- 5- 3   .5938   .4954   .5475   .5330
12  Clarkson            11    6- 3- 2   .6364   .4972   .4913   .5305
13  Bowling Green       15   10- 5- 0   .6667   .4724   .4897   .5253
14  RPI                 10    6- 4- 0   .6000   .4961   .5023   .5236
15  North Dakota        16    7- 8- 1   .4688   .5500   .5118   .5201
16  Wisconsin           17    8- 8- 1   .5000   .5244   .5163   .5163
17  Michigan Tech       16    7- 7- 2   .5000   .5236   .5057   .5132
18  Dartmouth            7    3- 3- 1   .5000   .5218   .5065   .5125
19  St Cloud            16    8- 8- 0   .5000   .4999   .5074   .5018
20  Vermont             12    7- 5- 0   .5833   .4607   .5005   .5013
21  Western Michigan    15    8- 6- 1   .5667   .4695   .4939   .4999
22  Providence          14    5- 6- 3   .4643   .5266   .4760   .4983
23  Princeton           11    5- 5- 1   .5000   .4875   .5102   .4963
24  Yale                 8    3- 4- 1   .4375   .5060   .5083   .4894
25  Boston College      15    4- 9- 2   .3333   .5681   .4822   .4879
26  Northern Michigan   16    7- 9- 0   .4375   .4993   .5031   .4848
27  Illinois-Chicago    15    6- 6- 3   .5000   .4602   .4859   .4766
28  Cornell              6    1- 3- 2   .3333   .5299   .5128   .4765
29  Merrimack           13    3- 7- 3   .3462   .5282   .4804   .4707
30  Mass Lowell         16    7- 6- 3   .5313   .4089   .5145   .4659
31  Colgate             11    5- 5- 1   .5000   .4320   .4956   .4649
32  Lake Superior       14    5- 6- 3   .4643   .4488   .4944   .4641
33  Miami               16    7- 8- 1   .4688   .4433   .4951   .4626
34  St Lawrence         11    3- 7- 1   .3182   .5235   .4725   .4594
35  Union                9    3- 4- 2   .4444   .4376   .4973   .4542
36  Ferris State        14    5- 7- 2   .4286   .4460   .4839   .4511
37  Alaska-Fairbanks    14    3-10- 1   .2500   .5251   .4856   .4465
38  Air Force            8    2- 5- 1   .3125   .5034   .4595   .4447
39  Alaska-Anchorage    16    5-11- 0   .3125   .4662   .5201   .4413
40  Minnesota-Duluth    17    4-11- 2   .2941   .4676   .5096   .4348
41  Ohio State          13    1-10- 2   .1538   .5517   .4778   .4338
42  Army                 5    1- 4- 0   .2000   .4401   .4921   .3931
43  Notre Dame          14    1-12- 1   .1071   .4902   .4745   .3905
44  Mass Amherst        12    0-11- 1   .0417   .4036   .5095   .3396
 
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.
 
Copyright 1994 Erik Biever.  RPICH is freely available for personal use;
if you want to publish it somewhere else, you need my permission.