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Date: | Wed, 15 Mar 1995 11:19:37 EST |
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Below are listed the YAM2 rankings as of the end of last weekend
(3/13/95). The explanation of the YAM2 method at the end of the ranking
list has been expanded somewhat for those folks who have had questions
regarding the influence of the ranking factors.
YAM2 RPI Norm. YAM2
Rank Rank W-L% Sched. Metric
1 2 Michigan 0.814 0.937 0.763
2T 1 Boston_University 0.786 0.970 0.762
2T 3 Maine 0.816 0.933 0.762
4 6 Colorado_College 0.738 0.922 0.680
5 4 New_Hampshire 0.686 0.966 0.662
6 7 Clarkson 0.697 0.919 0.640
7 9 Michigan_State 0.681 0.924 0.629
8 5 Minnesota 0.618 1.000 0.618
9 8 Denver 0.658 0.938 0.617
10 11 Bowling_Green 0.694 0.885 0.615
11 10 Wisconsin 0.590 0.960 0.566
12 13 Lake_Superior 0.611 0.922 0.563
13 14 Vermont 0.571 0.931 0.532
14 16 Princeton 0.565 0.926 0.523
15T 12 Northeastern 0.529 0.978 0.517
15T 18 Colgate 0.574 0.901 0.517
17 17 Brown 0.550 0.928 0.511
18 19 Miami 0.553 0.906 0.501
19 15 North_Dakota 0.513 0.964 0.495
20 21 RPI 0.546 0.895 0.488
21 23 Harvard 0.500 0.917 0.459
22 25 Mass_Lowell 0.500 0.916 0.458
23 20 St_Cloud 0.461 0.959 0.441
24 27 Minnesota-Duluth 0.474 0.922 0.437
25 24 Western_Michigan 0.461 0.941 0.433
26 26 Providence 0.457 0.937 0.428
27 29 Merrimack 0.456 0.924 0.421
28 22 Michigan_Tech 0.421 0.969 0.408
29 28 St_Lawrence 0.417 0.956 0.398
30 30 Cornell 0.429 0.919 0.394
31 32 Ferris_State 0.389 0.916 0.356
32 31 Dartmouth 0.370 0.927 0.344
33 34 Northern_Michigan 0.346 0.938 0.325
34 33 Boston_College 0.343 0.943 0.323
35 35 Illinois-Chicago 0.351 0.917 0.322
36 38 Union 0.357 0.881 0.315
37 37 Yale 0.339 0.908 0.308
38 36 Alaska-Anchorage 0.306 0.936 0.286
39 39 Notre_Dame 0.271 0.916 0.249
40 40 Alaska-Fairbanks 0.259 0.896 0.232
41 43 Air_Force 0.262 0.806 0.211
42 41 Ohio_State 0.194 0.927 0.180
43 42 Mass_Amherst 0.191 0.915 0.175
44 44 Army 0.091 0.754 0.069
41 43 Air_Force 0.262 0.801 0.210
42 41 Ohio_State 0.182 0.913 0.166
43 42 Mass_Amherst 0.172 0.909 0.156
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 *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 five 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 MN and loses two games. It will also not knock a team out of the
NC$$ tournament if it goes to OSU and *wins* two games (except in *very*
unusual circumstances:-).
-- Dick Tuthill
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