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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
HOCKEY-L is for discussion of college ice hockey; send information to
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