Re: 2015-2016 USCHO Posters Poll
you should put your math to work to show how the ECAC gets an advantage with the current way teams are selected
the math is pretty easy to understand why it's not gonna change
ECAC has more teams, they are not going to give up their advantage
EDIT: This is long and mathy. Sorry. Pokey asked me for math...
The PWR puts more of an emphasis than, say, KRACH, for not losing games, regardless of who you lose to.
Take a look at the ratios that RPI (which for all intents and purposes sets 95% of the Pairwise Rankings):
30% for winning percentage
24% for opponents' winning percentage
46% for opponents' opponents' percentages.
Now look at the range of possible values in the RPI calculations for those three factors (columns J, K, and L
here):
Range of winning percentages: 0.000 to 1.000 (because you will either win, lose, or tie the game)
Difference: 1.000
Range of opp. winning percentages: 0.375 to 0.628
Difference: 0.254
Range of opp opp winning percentages: 0.467 to 0.540
Difference: 0.074 (!!)
The .3/.24/.46 ratios have the right idea by putting more emphasis on the one with the smallest range, but one could argue that it might not be doing enough, honestly. If you're taking those differences, the most each value can affect your RPI is
30% x 1.000 = 0.300
24% x 0.254 = 0.061
46% x 0.074 = 0.034
And that's the
most it can affect the RPI (max minus min).
So even though the RPI is
trying to give some weighting to strength of schedule, it's not giving very much. Winning percentage has a much, much bigger effect on the ranking than the other two do, even combined.
There are two ways you could fix this problem by adjusting the weighting factors. Either (1) making all three affect the RPI the same amount, or (2) by making winning percentage affect it half and then make the "strength of schedule" portion affect it half.
Let's pick better factors for option #1 first:
(skipping the math part for brevity)
Win% =
5.4% x 1.000 = 0.054
OW% =
21.3% x 0.254 = 0.054
OOW% =
73.3% x 0.074 = 0.054
So, with those three factors, all three will affect RPI the same amount. Plugging it into my handy dandy spreadsheet gives the following RPI (did not include QWB):
1) UW .6190
2) UM .5977
3) BC .5958
3) BSU .5831
5) QU .5573
6) ND .5701
7) PU .5586
8) CU .5525
9) UMD .5578
10) HU .5508
Looking at option two, making the SOS portion count as much as winning percentage:
Win% =
10.3% x 1.000 = 0.103
OW% =
20.2% x 0.254 = 0.0515
OOW% =
69.5% x 0.074 = 0.0515
Using those factors, the resulting RPI would be:
1) UW .6715
2) BC .6415
3) UM .6342
4) QU .5998
5) BSU .6131
6) ND .5986
7) CU .5926
8) PU .5923
9) NU .5801
10) HU .5791
Are either of those "more right" than one another? I don't know. Are they more right than the factors used right now? I still don't know. The fact that there are so many ways to justify using different seemingly arbitrary combinations of weighting factors kind of speaks to why RPI is broken in the first place.
But to summarize -- as it stands right now, because winning percentage is such an important part of your RPI, it really penalizes you for losing.
The factors used in women's hockey aren't even the same as men's hockey, let alone the "standard" factors. The factors used for other sports like basketball are 25%/50%/25%. Needless to say, the rankings would be much different with those factors as well.