HOCKEY-L Archives

- Hockey-L - The College Hockey Discussion List

Hockey-L@LISTS.MAINE.EDU

Options: Use Forum View

Use Monospaced Font
Show Text Part by Default
Show All Mail Headers

Message: [<< First] [< Prev] [Next >] [Last >>]
Topic: [<< First] [< Prev] [Next >] [Last >>]
Author: [<< First] [< Prev] [Next >] [Last >>]

Print Reply
Subject:
From:
Reply To:
Date:
Mon, 6 Mar 1995 15:17:51 EST
Content-Type:
text/plain
Parts/Attachments:
text/plain (83 lines)
        Below are listed the YAM2 rankings as of the end of last weekend
(3/6/95).   The explanation of the YAM2 method at the end of the ranking
list has been expanded somewhat for those folks who have had questions
regarding the influence of the ranking factors.
 
 YAM2   RPI                                 Norm.      YAM2
 Rank  Rank                        W-L%    Sched.    Metric
 
  1     3   Maine                 0.811     0.949     0.769
  2     2   Michigan              0.803     0.954     0.766
  3     1   Boston_University     0.779     0.973     0.758
  4     4   New_Hampshire         0.706     0.970     0.684
  5     5   Colorado_College      0.724     0.933     0.675
  6     7   Clarkson              0.677     0.926     0.627
  7     9   Michigan_State        0.662     0.928     0.614
  8     12  Bowling_Green         0.677     0.892     0.604
  9     10  Denver                0.639     0.941     0.601
  10    6   Minnesota             0.597     1.000     0.597
  11    8   Wisconsin             0.583     0.977     0.570
  12    13  Vermont               0.594     0.923     0.548
  13    14  Lake_Superior         0.588     0.922     0.542
  14    11  Northeastern          0.544     0.976     0.531
  15    15  Brown                 0.574     0.921     0.529
  16    20  Colgate               0.565     0.891     0.503
  17    18  Princeton             0.537     0.924     0.496
  18    21  Miami                 0.528     0.912     0.481
  19    19  Harvard               0.518     0.921     0.477
  20    26  RPI                   0.532     0.894     0.476
  21    16  North_Dakota          0.486     0.969     0.471
  22    17  St_Cloud              0.486     0.964     0.469
  23    23  Minnesota-Duluth      0.500     0.922     0.461
  24    24  Western_Michigan      0.486     0.930     0.452
  25    27  Mass_Lowell           0.487     0.916     0.446
  26    29  Merrimack             0.470     0.910     0.428
  27    22  Michigan_Tech         0.444     0.961     0.427
  28    25  St_Lawrence           0.431     0.963     0.415
  29    28  Providence            0.441     0.930     0.410
  30    31  Cornell               0.440     0.902     0.397
  31    32  Ferris_State          0.412     0.907     0.374
  32    33  Dartmouth             0.370     0.931     0.345
  33    30  Boston_College        0.353     0.957     0.338
  34    35  Illinois-Chicago      0.371     0.905     0.336
 35T    34  Northern_Michigan     0.347     0.939     0.326
 35T    38  Union                 0.370     0.879     0.326
  37    37  Yale                  0.339     0.910     0.309
  38    36  Alaska-Anchorage      0.324     0.924     0.299
  39    39  Notre_Dame            0.288     0.900     0.259
  40    40  Alaska-Fairbanks      0.268     0.906     0.243
  41    43  Air_Force             0.262     0.801     0.210
  42    41  Ohio_State            0.182     0.913     0.166
  43    42  Mass_Amherst          0.172     0.909     0.156
  44    44  Army                  0.091     0.749     0.068
 
        The YAM2 is an intuitively based simple formula which seeks to
measure accomplishment over the course of the season.   It will not
identify the teams which are currently hot,  but views the season as
a whole.
 
        YAM2 differs from the Rating Percentage Index primarily in its
relationship between Win% and Strength of Schedule.   In YAM2 this is a
multiplicative relationship,  whereas in the RPI it is additive.
 
        YAM2 = (Win%) x (Strength of Sched.)
 
        Strength of schedule is quantified the same way as in RPI:  namely
2 parts Opp% added to 1 part Opp-Opp%.   In this implementation the strength
of schedule is normalized to the value of the stongest schedule (Minnesota
this week).   Also,  as in the RPI,  the head to head games are subtracted
from the records before calculating the Opp% in order to prevent "inverse"
effects on the ranking metric.
 
        YAM2 gives equal *mathematical* weight to Win% and Strength of Schedule.
However,  since Strength of Schedule inherently varies less than Win%,  SOS will
produce less effect than Win% upon the ranking placements (approximately
five positions maximum from experience).
 
        As a property of the multiplicative relationship between Win%
and Strength of Schedule,  YAM2 will not produce "inverse" ranking
effects.   For instance,  it will not raise a ranking if a team goes
to MN and loses two games (except in *very* unusual circumstances:-).
 
        -- Dick Tuthill

ATOM RSS1 RSS2