I'm sorry to be argumentative but your entire premise is wrong. If Colgate beats Yale then we still have a 67.8% chance of getting in.
Don't be sorry, that's what this is all about. I am sure that your math is correct, but if Colgate goes all the way, then we have Yale, Union and Colgate going to the show.
I have seen in the past when the powers that be ignored the math and went another way. I will stick with Yale and let the rest take care of itself. JMO.
When? Provide an example when the PWR did not properly pick the 16 teams that made the tournament. You can probably find an example of when #13 and #14 got switched for seemingly no reason, or got placed in a regional that wasn't expected. But, I don't know of any time when the PWR did not correctly pick the teams that made up each of the seeding bands.I have seen in the past when the powers that be ignored the math and went another way. I will stick with Yale and let the rest take care of itself. JMO.
There are scenarios that have 5 ECAC teams in the tournament too, and that includes RPI. When has the hockey selection committee gone contrary to what the pairwise says? We're not talking basketball here. The reason all this discussion is going on is that we're down to a small enough number of games left where we can quantitatively look at every result and what it does to RPI. We're several months past "just win and it'll work out" or "Yale just needs to win and it'll work out".
Here's one example that puts 5 teams in:There are scenarios that have 5 ECAC teams in the tournament too, and that includes RPI.
Atlantic Hockey
Semifinal #2: Air Force defeats Holy Cross
Semifinal #1: RIT defeats Connecticut
Championship game: RIT defeats Air Force
CCHA
Semifinal #2: Miami defeats Notre Dame
Semifinal #1: Michigan defeats Western Michigan
Championship game: Michigan defeats Miami
Consolation game: Notre Dame defeats Western Michigan
ECAC
Semifinal #2: Cornell defeats Dartmouth
Semifinal #1: Colgate defeats Yale
Championship game: Colgate defeats Cornell
Consolation game: Dartmouth defeats Yale
Hockey East
Semifinal #2: Merrimack defeats New Hampshire
Semifinal #1: Boston College defeats Northeastern
Championship game: Boston College defeats Merrimack
WCHA
Semifinal #2: Denver defeats Bemidji State
Semifinal #1: Colorado College defeats North Dakota
Championship game: Colorado College defeats Denver
It's doubtful that we'll find out unless Rensselaer gets tied in a critical position (12/13 or in/out). There are few comparisons that do not involve the Engineers which break opposite of the RPI. And, if the Tute is tied for 13th or similar, then the NCAA could have always switched match-ups based on attendance or saving flights. So, it's possible that we'll answer that question, but it's unlikely.there's still some question regarding tiebreakers and whether it goes to RPI or H2H, or even something else. We may just find out that answer this year.
Great going on the effort, Reilly. The Cornell/DC game is a puzzler for me. I don't think we should want Cornell to win and here's why:Cornell - RPI at 69.8805%
http://uploads.cuttlefishtech.com/cornell.html
Dartmouth - RPI at 67.5558%
http://uploads.cuttlefishtech.com/dartmouth.html
Colgate - RPI at 67.8593%
http://uploads.cuttlefishtech.com/colgate.html
Yale - RPI at 68.5779%
http://uploads.cuttlefishtech.com/yale.html
Here's one example that puts 5 teams in:
I'm amused that 3 of the ECAC teams are #4 seeds, meaning that Yale would be stuck playing RIT.Code:Atlantic Hockey Semifinal #2: Air Force defeats Holy Cross Semifinal #1: RIT defeats Connecticut Championship game: RIT defeats Air Force CCHA Semifinal #2: Miami defeats Notre Dame Semifinal #1: Michigan defeats Western Michigan Championship game: Michigan defeats Miami Consolation game: Notre Dame defeats Western Michigan ECAC Semifinal #2: Cornell defeats Dartmouth Semifinal #1: Colgate defeats Yale Championship game: Colgate defeats Cornell Consolation game: Dartmouth defeats Yale Hockey East Semifinal #2: Merrimack defeats New Hampshire Semifinal #1: Boston College defeats Northeastern Championship game: Boston College defeats Merrimack WCHA Semifinal #2: Denver defeats Bemidji State Semifinal #1: Colorado College defeats North Dakota Championship game: Colorado College defeats Denver
It's doubtful that we'll find out unless Rensselaer gets tied in a critical position (12/13 or in/out). There are few comparisons that do not involve the Engineers which break opposite of the RPI. And, if the Tute is tied for 13th or similar, then the NCAA could have always switched match-ups based on attendance or saving flights. So, it's possible that we'll answer that question, but it's unlikely.
If Colgate goes all the way we still do pretty well. If Colgate and NE and BSU do then we've got problems. Root against NE, BSU and Cornell!Don't be sorry, that's what this is all about. I am sure that your math is correct, but if Colgate goes all the way, then we have Yale, Union and Colgate going to the show.
I have seen in the past when the powers that be ignored the math and went another way. I will stick with Yale and let the rest take care of itself. JMO.
Great going on the effort, Reilly. The Cornell/DC game is a puzzler for me. I don't think we should want Cornell to win and here's why:
I ran a what-if on all 16 permutations for the ECAC tournament (I did not include the tie possibility). Of those 16 outcomes, we still rank out of the tournament in all 4 instances of a Cornell win, in 3 instances of a Colgate win, 2 times when DC wins and once when Yale wins. This downside alone makes the 2.3% delta between DC and Cornell not seem worth it. Beyond that, there are some other areas where the Krach model falls short as well as some positives that come from a possible Dartmouth sweep. As far as the Krach model goes, should Cornell meet Colgate in the consolation game it assumes that Colgate only has a 29% chance of winning. I hold that the chance is at least 50% given how the teams are playing now and I'd even favor Colgate. Krach also assumes that the D/C loser plays Colgate 90% of the time (while the winner plays Yale). In other words, the model is telling us to hope for Cornell to win because there's only a 22% chance of them beating Yale in the final while there is a 22.5% chance that Dartmouth loses to Colgate in the consolation - and 2 DC losses are worth more than 2 Cornell losses.
That might be true but I hold that two Cornell losses are still quite valuable. On top of that, a final with DC and Yale keeps the cutoff for the tournament at 15. Furthermore, 2 DC wins will flip some of the DC PWR comparisons with the others on the bubble.
BTW... out of the 16 scenarios, our two best outcomes put us tied for 12th. Those two outcomes are Yale-Dart-Gate-Cor and Dart-Yale-Gate-Cor.
So call it the conservative strategy if you like but we should be pulling for Dartmouth. If the Krach ratings were based on recent play only then I'm confident it would say as much.
It still has to be a seed boundary (4/5, 8/9, 12/13, in/out) and a 2-team tie (because past precedent shows that 3+-team ties get broken by RPI). And, the reason that I said that it is likely to be Rensselaer-related is because the Engineers are the only team with a PWR so far above their RPI. It's certainly not exclusive to the Tute, but they definitely have the most examples.It's not only us, there are a couple close call situations across the bubble teams at the in/out line.
Winner! There are 13 games left to be played outside of the ECAC tournament this weekend. Each of them will have an impact on our chances.but how can you purport to come to these conclusions without accounting for the goings on in other conferences?
The many posts over the last several days remind me of a little-used First Church cheer:
We like math,
we like beer.
We are the Engineers!
Reilly, you're the man.
Now I'm even more confused on who to root for in the Dartmouth/Cornell game. I know every game has an effect but for some reason that is the one I just cannot figure out. I have read everyone's posts on it-and still find myself not knowing.
Now I'm even more confused on who to root for in the Dartmouth/Cornell game. I know every game has an effect but for some reason that is the one I just cannot figure out. I have read everyone's posts on it-and still find myself not knowing.
It doesn't matter too much. The bigger concern is that whomever loses that game today loses again tomorrow. Two Dartmouth losses puts them solidly below us in RPI and PWR. Two Cornell losses puts them very, very close to the TUC line (or just plain out).Now I'm even more confused on who to root for in the Dartmouth/Cornell game. I know every game has an effect but for some reason that is the one I just cannot figure out. I have read everyone's posts on it-and still find myself not knowing.
When? Provide an example when the PWR did not properly pick the 16 teams that made the tournament. You can probably find an example of when #13 and #14 got switched for seemingly no reason, or got placed in a regional that wasn't expected. But, I don't know of any time when the PWR did not correctly pick the teams that made up each of the seeding bands.
It really is just simple mathematics and a purely objective process. Those who claim that the Engineers won't make the tournament just because of their play in February are lying to themselves.
I distinctly remember the last time RPI got into the tournament, Colorado College having a fit that they were left out. I can't say for sure if they had a better PWR, but they certainly felt that they got screwed.