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Subject:
From:
"Tuthill, Richard" <[log in to unmask]>
Reply To:
Tuthill, Richard
Date:
Mon, 11 Mar 1996 17:39:00 EST
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     YAM2 rankings through 3/10/96.  (The table below is best viewed using a
constant pitch font.)
 
 
 
 YAM2  RPI                               Norm.    YAM2
 Rank  Rank                       Win%  Sched.  Metric
 
  1     1   Boston University    0.819   0.955   0.782
  2     2   Colorado College     0.846   0.911   0.771
  3     4   Lake Superior        0.806   0.920   0.741
  4     3   Michigan             0.784   0.939   0.736
  5     5   Minnesota            0.750   0.962   0.721
  6     6   Maine                0.730   0.973   0.710
  7     8   Vermont              0.788   0.879   0.693
  8     9   Clarkson             0.750   0.910   0.683
  9     7   Michigan State       0.713   0.953   0.679
 10T    11  Mass-Lowell          0.750   0.894   0.670
 10T    10  Western Michigan     0.697   0.960   0.670
  12    12  Bowling Green        0.645   0.956   0.617
  13    13  Cornell              0.677   0.883   0.598
  14    14  Denver               0.603   0.939   0.566
  15    16  Saint Lawrence       0.614   0.908   0.558
  16    15  Providence           0.569   0.954   0.543
  17    17  Colgate              0.563   0.918   0.516
  18    21  Minnesota-Duluth     0.540   0.896   0.483
  19    18  Boston College       0.486   0.981   0.477
  20    23  North Dakota         0.513   0.901   0.462
  21    20  Michigan Tech        0.488   0.945   0.461
  22    19  Wisconsin            0.463   0.972   0.450
  23    22  New Hampshire        0.412   1.000   0.412
  24    24  Saint Cloud          0.368   0.991   0.365
  25    26  Mass-Amherst         0.371   0.942   0.350
  26    32  Brown                0.406   0.855   0.348
  27    31  Harvard              0.391   0.885   0.346
  28    27  Ferris State         0.365   0.945   0.345
  29    28  Northeastern         0.347   0.953   0.331
  30    25  Miami                0.333   0.979   0.326
  31    29  Ohio State           0.328   0.957   0.314
  32    30  Alaska-Anchorage     0.319   0.954   0.305
  33    33  Notre Dame           0.314   0.933   0.293
  34    34  Merrimack            0.328   0.885   0.290
  35    36  Rensselaer           0.329   0.854   0.281
  36    42  Army                 0.393   0.712   0.280
  37    37  Illinois-Chicago     0.292   0.884   0.258
  38    35  Alaska-Fairbanks     0.266   0.924   0.245
  39    40  Dartmouth            0.283   0.861   0.244
  40    39  Princeton            0.276   0.872   0.241
  41    41  Union                0.276   0.860   0.237
  42    43  Yale                 0.224   0.819   0.184
  43    38  Northern Michigan    0.184   0.967   0.178
  44    44  Air Force            0.087   0.785   0.068
 
 
     The YAM2 Ranking is based on a simple mathematical formula which is
designed to measure team accomplishment over the course of the season.  It
uses Win% and a strength of schedule (SOS) metric,  in similar fashion to
the Rating Percentage Index (RPI).   However,  YAM2 differs from the RPI in
one significant aspect.  In order to prevent inverse effects,  the ranking
metric is a product of Win% and the SOS metric,  whereas in the RPI metric
it is a sum.  Thus,  a loss by a team will almost always produce a decrease
in the YAM2 metric,  and a win will almost always produce an increase in the
YAM2 metric.  The magnitude of these effects will be influenced by the
strength of the opponent.  (It is also worth noting that the actual change
in ranking *placement* for any given team,  as opposed to the ranking
*metric*,  will be strongly influenced by the simultaneous changes in
records for "neighboring" teams in the ranking table.)
 
     YAM2 = Win% * SOS
 
     The SOS metric used in YAM2 is the same as that used in the original
RPI weighting factors:  namely 2 parts Opp% added to 1 part Opp-Opp%.  In
this implementation the SOS metric is normalized to the toughest schedule
for convenience.
 
 
     -- Dick Tuthill
 
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