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Subject:
From:
"Tuthill, Richard" <[log in to unmask]>
Reply To:
Tuthill, Richard
Date:
Mon, 15 Jan 1996 10:41:00 EST
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     Below are listed the YAM2 rankings as of the end of last weekend
(1/13/96).   An explanation of the YAM2 system has been included at the end
of the ranking tables.  If some of you are viewing this table using a
proportional font for display,  try switching to a constant pitch font.   It
will look a lot cleaner.
 
 
 YAM2   RPI                              Norm.    YAM2
 Rank  Rank                      W-L %  Sched.  Metric
 
  1     1   Minnesota            0.833   1.000   0.833
  2     2   Boston University    0.900   0.855   0.770
  3     3   Michigan             0.810   0.916   0.741
  4     6   Colorado College     0.848   0.853   0.723
  5     4   Maine                0.761   0.933   0.710
  6     5   Western Michigan     0.739   0.949   0.701
  7     7   Lake Superior        0.775   0.889   0.689
  8T    8   Denver               0.729   0.904   0.659
  8T    9   Michigan State       0.750   0.878   0.659
  10    10  Vermont              0.778   0.823   0.640
  11    12  Providence           0.700   0.847   0.593
  12    11  Clarkson             0.632   0.907   0.573
  13    13  Bowling Green        0.643   0.862   0.554
  14    14  St. Lawrence         0.605   0.882   0.534
  15    15  Minnesota-Duluth     0.596   0.855   0.510
  16    17  Mass Lowell          0.643   0.786   0.505
  17    18  North Dakota         0.596   0.820   0.489
  18    19  Colgate              0.563   0.827   0.465
  19    21  Cornell              0.531   0.818   0.435
  20    22  Mass Amherst         0.500   0.830   0.415
  21    16  New Hampshire        0.429   0.962   0.412
  22    23  Michigan Tech        0.438   0.875   0.383
  23    26  Harvard              0.472   0.791   0.373
  24    20  Boston College       0.386   0.949   0.367
  25    24  Northeastern         0.375   0.905   0.339
  26    28  Brown                0.406   0.821   0.334
  27    30  Wisconsin            0.354   0.853   0.302
  28    25  Miami                0.310   0.961   0.298
  29    33  Illinois-Chicago     0.370   0.795   0.294
  30    29  Alaska-Anchorage     0.318   0.891   0.284
  31    31  Ferris State         0.333   0.844   0.281
  32    32  Alaska-Fairbanks     0.341   0.820   0.279
  33    36  Notre Dame           0.325   0.817   0.265
  34    34  Merrimack            0.316   0.836   0.264
  35    27  St. Cloud            0.273   0.947   0.258
  36    41  Army                 0.357   0.710   0.253
  37    37  Union                0.281   0.842   0.237
  38    40  Rensselaer           0.300   0.769   0.231
  39    39  Dartmouth            0.281   0.796   0.224
  40    42  Yale                 0.313   0.707   0.221
  41    35  Ohio State           0.206   0.912   0.188
  42    43  Princeton            0.184   0.778   0.143
  43    38  Northern Michigan    0.146   0.932   0.136
  44    44  Air Force            0.088   0.775   0.068
 
     The YAM2 is an intuitively based simple formula which seeks to measure
accomplishment over the course of a 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 in its relationship
between the Win% and the metric for Strength of Schedule.   In YAM2,  this
is a multiplicative relationship,  whereas in the RPI it is additive.
 
          YAM2  =  (Win%)  x  (Strength of Schedule)
 
     Strength of Schedule is defined in the same way as in the *old* 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 strongest 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 plus or minus 5 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 Minnesota and loses
two games (except in *very* unusual circumstances.
 
     Have a happy MLK day,  everyone!
 
     -- Dick Tuthill
 
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