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College Hockey:
Bracketology: March 11, 2009

It’s time once again to do what we like to call Bracketology — College Hockey Style. It’s our weekly look at how the NCAA tournament might shape up if the season ended today.

It’s a look into the possible thought processes behind selecting and seeding the NCAA tournament teams.

This is the latest installment of Bracketology, and we’ll be bringing you a new one every week until we make our final picks before the field is announced. And this year, check out our Bracketology blog, where we’ll keep you entertained, guessing and educated throughout the rest of the season.

Here are the facts:

Sixteen teams are selected to participate in the national tournament.

There are four regional sites (East – Bridgeport, Conn., Northeast – Manchester, N.H., Midwest – Grand Rapids, Mich., West – Minneapolis, Minn.)

A host institution which is invited to the tournament plays in the regional for which it is the host, and cannot be moved. There are four host institutions this year, Yale in Bridgeport, New Hampshire in Manchester, Western Michigan in Grand Rapids and Minnesota in Minneapolis.

Seedings will not be switched, as opposed to years past. To avoid undesirable first-round matchups, including intraconference games (see below), teams will be moved among regionals, not reseeded.

Here are the NCAA’s guidelines on the matter, per a meeting of the Championship Committee:

In setting up the tournament, the committee begins with a list of priorities to ensure a successful tournament on all fronts including competitive equity, financial success and likelihood of playoff-type atmosphere at each regional site. For the model, the following is a basic set of priorities:

The top four teams as ranked by the committee are the four No. 1 seeds and will be placed in the bracket so that if all four teams advance to the Men’s Frozen Four, the No. 1 seed will play the No. 4 seed and the No. 2 seed will play the No. 3 seed in the semifinals.

Host institutions that qualify will be placed at home.

No. 1 seeds are placed as close to home as possible in order of their ranking 1-4.

Conference matchups in first round are avoided, unless five or more teams from one conference are selected, then the integrity of the bracket will be preserved.

Once the six automatic qualifiers and 10 at-large teams are selected, the next step is to develop four groups from the committee’s ranking of 1-16. The top four teams are the No. 1 seeds. The next four are targeted as No. 2 seeds. The next four are No. 3 seeds and the last four are No. 4 seeds. These groupings will be referred to as “bands.”

Given these facts, here are the top 16 teams in the current PairWise Rankings (PWR), and the conference leaders (through all games of March 10, 2009):

1 Boston University
2 Notre Dame
3 Michigan
4 Denver
5t Northeastern
5t Vermont
7t New Hampshire
7t North Dakota
9 Yale
10 Cornell
11 Miami
12 Princeton
13 Minnesota
14t Ohio State
14t St. Lawrence
14t Colorado College
17t Air Force
– Bemidji State

Highest-seeded teams in their conference tournaments:

Atlantic Hockey: Air Force
CHA: Bemidji State
CCHA: Notre Dame
ECAC: Yale
Hockey East: Boston University
WCHA: North Dakota

Notes

Bracketology assumes that the season has ended and there are no more games to be played — i.e., the NCAA tournament starts tomorrow.

Step One

From the committee’s report, choose the 16 teams in the tournament.

We break ties in the PWR by looking at the individual comparisons among the tied teams, and add in any current league leaders that are not currently in the Top 16. The only teams that are not are Bemidji State and Air Force.

From there, we can start looking at all the ties in a more detailed fashion. We have Northeastern and Vermont at 5, New Hampshire and North Dakota at 7, and Ohio State, St. Lawrence and Colorado College at 14.

Looking at the head-to-head PairWise comparisons we break our ties. Northeastern and New Hampshire win theirs. As for the last big tie, Ohio State beats both SLU and CC to win that one.

Therefore the 16 teams in the tournament, in rank order, are:

1 Boston University
2 Notre Dame
3 Michigan
4 Denver
5 Northeastern
6 Vermont
7 New Hampshire
8 North Dakota
9 Yale
10 Cornell
11 Miami
12 Princeton
13 Minnesota
14 Ohio State
15 Air Force
16 Bemidji State

Step Two

Now it’s time to assign the seeds.

No. 1 Seeds – Boston University, Notre Dame, Michigan, Denver
No. 2 Seeds – Northeastern, Vermont, New Hampshire, North Dakota
No. 3 Seeds – Yale, Cornell, Miami, Princeton
No. 4 Seeds – Minnesota, Ohio State, Air Force, Bemidji State

Step Three

Place the No. 1 seeds in regionals. Following the guidelines, there are no host teams in this grouping, so that rule does not need to be enforced. We now place the No. 1 seeds based on proximity to the regional sites.

No. 1 Boston University is placed in the Northeast Regional in Manchester.
No. 2 Notre Dame is placed in the Midwest Regional in Grand Rapids.
No. 3 Michigan is placed in the West Regional in Minneapolis.
No. 4 Denver is placed in the East Regional in Bridgeport.

Step Four

Now we place the other 12 teams so as to avoid intra-conference matchups if possible.

Begin by filling in each bracket by banding groups. Remember that teams are not assigned to the regional closest to their campus sites by ranking order within the banding (unless you are a host school, in which case you must be assigned to your home regional).

If this is the case, as it was last year, then the committee should seed so that the quarterfinals are seeded such that the four regional championships are played by No. 1 v. No. 8, No. 2 v. No. 7, No. 3 v. No. 6 and No. 4 v. No. 5.

So therefore:

No. 2 Seeds

We have to place New Hampshire first, since it is a host.

No. 7 New Hampshire is placed in No. 1 Boston University’s Regional, the Northeast Regional.
No. 8 North Dakota is placed in No. 2 Notre Dame’s Regional, the Midwest Regional.
No. 6 Vermont is placed in No. 3 Michigan’s Regional, the West Regional.
No. 5 Northeastern is placed in No. 4 Denver’s Regional, the East Regional.

No. 3 Seeds

Our bracketing system has one Regional containing seeds 1, 8, 9, and 16, another with 2, 7, 10, 15, another with 3, 6, 11, 14 and another with 4, 5, 12 and 13. Yale must be placed first because it is hosting.

Therefore:

No. 9 Yale is placed in No. 5 Northeastern’s Regional, the East Regional.
No. 10 Cornell is placed in No. 8 North Dakota’s Regional, the Midwest Regional.
No. 11 Miami is placed in No. 7 New Hampshire’s Regional, the Northeast Regional.
No. 12 Princeton is placed in No. 6 Vermont’s Regional, the West Regional.

No. 4 Seeds

One more time, taking No. 16 v. No. 1, No. 15 v. No. 2, etc. We have to place Minnesota first, since it is hosting.

No. 13 Minnesota is placed in No. 3 Michigan’s Regional, the West Regional.
No. 16 Bemidji State is sent to No. 1 Boston University’s Regional, the Northeast Regional.
No. 15 Air Force is sent to No. 2 Notre Dame’s Regional, the Midwest Regional.
No. 14 Ohio State is sent to No. 4 Denver’s Regional, the East Regional.

The brackets as we have set them up:

Midwest Regional:

Air Force vs. Notre Dame
Cornell vs. North Dakota

West Regional:

Minnesota vs. Michigan
Princeton vs. Vermont

East Regional:

Ohio State vs. Denver
Yale vs. Northeastern

Northeast Regional:

Bemidji State vs. Boston University
Miami vs. New Hampshire

Our first concern is avoiding intra-conference matchups. We have none.

So this is our bracket. Or is it?

You know, we always want to see if we can tweak it a little better.

Let’s give some thought to how we have seeded teams — the order of the seeding. Let’s make one simple change. Let’s start out with the mentality that we are going to go with perfect bracket integrity and then deal with the other rules in another order


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