Re: Ohio State Buckeyes 2017-2018 ... Home Playoffs This Season?
In his initial comment, the OSU/UW series didn't even qualify as "interesting." But on further review, that characterization was directed specifically at the H2H component, not the Pairwise as a whole.
What I said was the only two Pairwise comparisons involving Ohio State that may be decided on anything other than "who has the better RPI?" are Robert Morris and and Minnesota (because those have the third comparison component - head-to-head - necessary to 'overcome' a better RPI).
In the case of Wisconsin: yes, there is head-to-head, and I guess it is possible that Ohio State could win both remaining games AND beat UW in the WCHA tournament such that the UW-vs-OSU Pairwise comparison gets 'interesting'. I will come back and look more closely at it when that day arrives.
Just what is the absolute value of the QWB in relation to the other factors? Is it a big enough prize to cause changes in the rankings? Or is it dwarfed by the other factors, such that it rarely makes any difference?
Related questions: Is the QWB awarded on a sliding scale? Meaning that beating the top ranked team yields the biggest payoff? Or is it just a dichotomous variable -- meaning there's one bonus value, and you either earn it or you don't?
From what Grant wrote up two years ago, which in turn quotes from the NCAA Women's hockey manual; I think it is all still valid.
"The [Quality Win Bonus] scale for the women starts at a .060 RPI bonus for a win against #1 and descends .005 per team, ending in a .005 bonus for a win against #12."
With that, let's look at Ohio State: Right now (Thursday PM) their QWB is shown as being .0034. They have a win and a tie (which equals a half-win) over the current #5, Minnesota, and a win over current #10 Robert Morris (with those rankings reflecting the "adjusted RPI", before any QWB has been added in) The win over Minnesota is worth .04, the 'half-win' is worth .02, and the win over #10 Robert Morris is worth .015. That totals up to 0.75, which is then divided by the number of games played to date, 22 for OSU. .075 divided by 22 equals .0034.
OSU's "adjusted RPI" of .5577 has .0034 added to it, bringing it to .5611.
If you look at the current RPI rankings, you'll see that before QWBs are added, Providence in ranked ahead of Cornell and OSU, and Robert Morris is ahead of St Lawrence. But when the QWBs are added in, Providence dropped behind Cornall and OSU, and St Lawrence passes Robert Morris. Yes, QWB can most certainly make a difference in the RPI ranks, and in turn who wins a particular Pairwise compariosn, and even to the point of who does and does not get into the Tournament.
(If you click on the column headers of the 'RPI page, you can re-sort the table to that particular column's values.)
Note, of course, that QWBs re-calculated every week, based on new RPI values and rankings. If Minnesota moves up in the 'Adjusted RPI' ranking, OSU's QWB for beating them and tying them increases (although the 'games played' divisor also gets bigger with every game OSU plays). And wins over teams can lose their QWB value, if the team drops out of the top twelve. For example, the OSU win over Robert Morris currently has QWB value; if OSU were to sweep RMU this weekend, and RMU dropped out of the top twelve, any QWB for any win over RMU would disappear. Even if RMU only drops from #10 to #11 or 12, the QWB decreases.
Grant's column from two years ago:
https://www.bcinterruption.com/bost...bc-eagles-minnesota-gophers-wisconsin-badgers