Re: The 2014 Pairwise, Bracketology and History Thread`
I see. Wisco is also a common opponent that BC has a win over. BC lost to Mich. Lowell has wins over Mich, Mich State and Penn St. How's that figure in? LOL... You number nerds are awesome. I mean that in a good way.
Well, the figuring goes like this:
Minnesota v BC head-to-head: Minnesota won, and there was a tie. For PWR purposes, this is +1 to Minny.
Let's assume Minnesota loses all games against teams who are not common opponents to Minny and BC, then..
Minnesota v BC RPI: BC has a better RPI, so for PWR purposes, this is +1 to BC.
That leaves the common opponents to decide the comparison and the overall #1 seed. There are 6 common opponents: New Hampshire, Notre Dame, RPI, Michigan, Wisconsin, and Penn State. ONLY games against those teams count for this part of the comparison, so every game that Lowell played all year is immaterial here.
Let's look at these common opponents. The way the calculation is done is that you figure the winning percentage of both teams (MN and BC) against that opponent. This means that 4-0 is the same as 2-0. Then, add these numbers for all the opponents. Higher total is the winner.
Against RPI, both MN and BC won, so this doesn't figure in. All the rest figure in some way, potentially....
Against NoDame, Minn was 1-1, and BC is currently 1-1. If NoDame loses to BU, this stays that way... But, let's assume ND beats BU, and then BC sweeps ND. That means BC ends up 3-1. So, for NoDame, Minnesota is 1-1 (.500) an BC is 3-1 (.750).
Against New Hampshire, Minnesota is 1-0, and BC is 2-0. Let's assume BC either does not play UNH in the HEA semis, or defeats them. That gives both teams 1.000 here.
At this point, let's access. BC is slightly ahead - by .250 altogether.
Now, Michigan. We assume Minnesota sweeps, because I am stating that Minnesota clinches the #1 with a sweep in this case. That sweep gives Minnesota 1.000 against Mich, while BC was 0-1. Minnesota now leads by .750
Now, Penn State. BC was 2-0, Minnesota was 4-0, but Minnesota could lose to Penn State in the Big10 playoffs. Losing to PennState makes Minny 4-1. BC 1.000, Minnesota .800, and Minnesota still leads by .550
Finally, Wisconsin. BC was 1-0, Minnesota 2-2. BC 1.000, Minnesota .500. Add those in and Minny wins by the slightest of margins - .050.
Note that after sweeping Michigan, Minnesota could lose one game to PSU, Wisc, or Mich. None are worse for them than PSU, so I chose that one.
And, you could go back up to the top and do the same work-through assuming ND loses to BU, in which case, BC can't add to their split with ND right now, and then all Minny needs is a split against Michigan next week.
And, again, assuming ND wins, but Merrimack does, too. Then, BC can only get one win max against ND, and therefore Minny needs a W and a T at Yost next week.
Cheers. It's just simple math (copyright Scooby)