Re: Yale Hockey 2010-2011 thread
Good point. That would adjust the first round percentages slightly. If someone could point me to a source for all of the tournament results over this period as well as the mid-December and final rankings I could do a more proper startistical analysis. The rankings are (more or less) valid if: (a) the probability that A beats B is significantly related to the difference in the rankings of A and B; and (b) higher ranked teams have higher probabilities of winiing (although it doesn't have to be significant for small ranking differences). Since the top 4 rankings (in PWR, not necessarily polls) are split up in the regionals, that means that the Frozen Four are the main opportunity to see high-ranked matches, which in turn means that the Frozen Four ought to be reasonably close to random with very little advantage for number one at all, and that's what we've seen.
Here is some data. I only did 2002-2003 to present because that is when the tournament shifted from 12 teams and byes for the top 4 seeds to a 16 team tournament where every team needs to win four games to win it all.
2002-2003
Final Poll #1 - Cornell defeats #11 Mankato and #8 BC, before losing to #3 New Hampshire in Frozen Four
2nd week of December #1 - North Dakota drops to #12 in rankings, loses to #5 Ferris State in First Round
Frozen Four - #1 Cornell, #3 New Hampshire,
#4 Minnesota, #7 Michigan
2003-2004
Final Poll #1 - Maine defeats #15 Harvard, #11 Wisconsin, and #4 Boston College before losing to #8 Denver in Title Game
2nd week of December #1 - North Dakota is ranked 2nd, defeats (NR) Holy Cross before losing to #8 Denver
Frozen Four - #1 Maine, #4 Boston College, #5 Minnesota-Duluth,
#8 Denver
2004-2005
Final Poll #1 - Denver defeats (NR) Bemidji State, #6 New Hampshire, #3 Colorado College and #10 North Dakota
2nd week of December #1 - Minnesota is ranked #7, defeats #12 Maine and #4 Cornell before losing to #10 North Dakota
Frozen Four -
#1 Denver #3 Colorado College, #7 Minnesota, #10 North Dakota
2005-2006
Final Poll #1 - Boston University defeats #15 Nebraska-Omaha before losing to #9 Boston College in Regional Final
2nd week of December #1 - Wisconsin defeats (NR) Bemidji State, #8 Cornell, #10 Maine and #9 Boston College
Frozen Four -
#2 Wisconsin, #6 North Dakota, #9 Boston College, #10 Maine
2006-2007
Final Poll #1 - Notre Dame defeats (NR) Alabama-Huntsville before losing to #10 Michigan State in Regional Final
2nd week of December #1 - Minnesota is ranked #2 defeats (NR) Air Force before losing to #6 North Dakota
Frozen Four - #4 Boston College, #6 North Dakota,
#10 Michigan State, #14 Maine
2007-2008
Final Poll #1 - Michigan defeats #19 Niagara, and #11 Clarkson before losing to #12 Notre Dame in Frozen Four
2nd week of December #1 - Michigan
Frozen Four - #1 Michigan, #3 North Dakota,
#7 Boston College, #12 Notre Dame
2008-2009
Final Poll #1 - Boston University defeats #14 Ohio State, #12 New Hampshire, #11 Vermont, #13 Miami
2nd week of December #1 - Notre Dame is ranked #2, loses first game to (NR) Bemidji State
Frozen Four -
#1 BU #11 Vermon, #13 Maine, (NR) Bemidji State
2009-2010
Final Poll #1 - Miami defeats (NR) Alabama-Huntsville and #11 Michigan before losing to #3 Boston College in Frozen Four
2nd week of December #1 - Miami
Frozen Four - #1 Miami,
#3 Boston College, #5 Wisconsin, #20 RIT
Twice the 2nd week of December #1 team was the Final Poll #1 team. Both of those squads lost in the Frozen Four.
Only twice did the Final Poll #1 team miss the Frozen Four (2006 - BU, 2007 - Notre Dame).
Looking at it a bit differently, Final Poll #1 record was 19-6 (.760) in the NCAA Tournament winning it twice ('05 Denver, '09 BU), while the #1 from the 2nd week of December (Not including the two times where the Final Poll #1 was also #1 in December - '08 Michigan, '10 Miami) was 8-5 (.615) winning it once ('06 Wisconsin). If you include '08 Michigan and '10 Miami that record goes to 12-7 (.632).
Another interesting tidbit is the failures of the #2 ranked team in the Final Polls. Only once in this 8 year span did they make the Frozen Four ('06 Wisconsin).