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From: | |
Reply To: | Tuthill, Richard |
Date: | Mon, 4 Mar 1996 11:15:00 EST |
Content-Type: | text/plain |
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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.
The table below is best viewed using a constant pitch font.
YAM2 RPI Norm. YAM2
Rank Rank Win% Sched. Metric
1 2 Colorado College 0.865 0.911 0.788
2 1 Boston University 0.809 0.969 0.783
3 3 Lake Superior 0.794 0.935 0.742
4 4 Michigan 0.771 0.953 0.735
5 5 Minnesota 0.737 0.968 0.713
6 7 Western Michigan 0.736 0.958 0.705
7 6 Maine 0.714 0.983 0.702
8 8 Michigan State 0.716 0.969 0.694
9 9 Vermont 0.774 0.893 0.692
10 10 Clarkson 0.734 0.914 0.671
11 11 Mass-Lowell 0.735 0.908 0.667
12 13 Saint Lawrence 0.641 0.925 0.593
13 12 Bowling Green 0.625 0.947 0.592
14 15 Cornell 0.655 0.875 0.573
15 14 Denver 0.603 0.945 0.569
16 16 Colgate 0.600 0.912 0.547
17 18 Providence 0.544 0.958 0.522
18 17 Boston College 0.515 0.987 0.508
19 21 Minnesota-Duluth 0.540 0.897 0.484
20 19 Wisconsin 0.487 0.960 0.467
21 22 North Dakota 0.513 0.908 0.466
22 23 Michigan Tech 0.474 0.935 0.443
23 20 New Hampshire 0.438 0.990 0.433
24 24 Saint Cloud 0.378 1.000 0.378
25 26 Mass-Amherst 0.394 0.922 0.363
26 32 Brown 0.414 0.840 0.348
27 27 Northeastern 0.368 0.943 0.347
28T 28 Ferris State 0.368 0.931 0.342
28T 25 Miami 0.353 0.970 0.342
30 29 Ohio State 0.350 0.943 0.330
31 33 Harvard 0.362 0.874 0.316
32 30 Alaska-Anchorage 0.319 0.955 0.305
33 31 Notre Dame 0.314 0.940 0.296
34 34 Merrimack 0.328 0.889 0.292
35 42 Army 0.393 0.717 0.282
36 40 RPI 0.328 0.837 0.275
37 36 Illinois-Chicago 0.292 0.889 0.259
38 38 Dartmouth 0.293 0.872 0.256
39 37 Princeton 0.286 0.878 0.251
40 35 Alaska-Fairbanks 0.266 0.929 0.247
41 41 Union 0.276 0.860 0.237
42 43 Yale 0.224 0.820 0.184
43 39 Northern Michigan 0.184 0.971 0.179
44 44 Air Force 0.087 0.783 0.068
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