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College Hockey discussion list <[log in to unmask]>
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Wed, 1 Mar 1995 12:38:31 EST
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        Below are listed the YAM2 rankings as of the end of last weekend
(2/27/95):
 
 YAM2   RPI                        W-L%     Norm.      YAM2
 Rank  Rank                                Sched.    Metric
 
  1     3   Maine                 0.829     0.935     0.775
  2     2   Michigan              0.790     0.966     0.764
  3     1   Boston_University     0.773     0.978     0.756
  4     4   Colorado_College      0.750     0.929     0.697
  5     5   New_Hampshire         0.719     0.944     0.679
  6     6   Minnesota             0.603     1.000     0.603
  7     8   Clarkson              0.655     0.918     0.602
  8     7   Michigan_State        0.641     0.936     0.599
  9     11  Denver                0.632     0.925     0.585
  10    12  Bowling_Green         0.656     0.888     0.583
  11    9   Wisconsin             0.559     0.975     0.545
  12    14  Lake_Superior         0.594     0.915     0.544
  13    13  Princeton             0.580     0.928     0.538
  14    15  Brown                 0.580     0.913     0.529
  15    10  Northeastern          0.530     0.988     0.524
  16    16  Vermont               0.567     0.920     0.521
  17    22  Miami                 0.559     0.891     0.498
  18    21  RPI                   0.552     0.896     0.495
  19    26  Colgate               0.535     0.891     0.476
  20    23  Harvard               0.519     0.912     0.474
  21    18  St_Cloud              0.485     0.961     0.467
  22    24  Mass_Lowell           0.500     0.920     0.460
  23    19  Michigan_Tech         0.471     0.963     0.453
  24    17  North_Dakota          0.456     0.985     0.449
  25    20  St_Lawrence           0.463     0.963     0.446
  26    28  Merrimack             0.484     0.918     0.445
  27    25  Minnesota-Duluth      0.471     0.935     0.440
  28    27  Western_Michigan      0.456     0.939     0.428
 29T    29  Providence            0.424     0.929     0.394
 29T    31  Ferris_State          0.438     0.900     0.394
  31    33  Cornell               0.413     0.904     0.373
  32    34  Illinois-Chicago      0.394     0.912     0.359
  33    38  Union                 0.400     0.877     0.351
  34    30  Northern_Michigan     0.368     0.945     0.347
  35    36  Yale                  0.365     0.912     0.333
  36    32  Boston_College        0.344     0.949     0.326
  37    35  Alaska-Anchorage      0.344     0.927     0.319
  38    37  Dartmouth             0.320     0.931     0.298
  39    40  Notre_Dame            0.274     0.910     0.249
  40    39  Alaska-Fairbanks      0.268     0.915     0.245
  41    43  Air_Force             0.262     0.811     0.212
  42    42  Ohio_State            0.194     0.892     0.173
  43    41  Mass_Amherst          0.177     0.910     0.161
  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 weight to win% and strength of schedule.   As a
a property of the multiplicative relationship between Win% and Strength of
Schedule,  the method will not raise a ranking if a team goes to Minnesota
and loses two games (except in *very* unusual circumstances:-).
 
        -- Dick Tuthill

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