JanM, on Aug 17 2007, 03:51 PM, said:
A "double elimination" KO has some issues to be resolved.
First, should it start, as Hannie suggests, with the Round of 8 losers, or with the Round of 16 losers?
Second, as Arend points out, there are often teams with byes. We never know until after the Vanderbilt how many byes there will be, and there has been some discussion of making it harder to get a semi-final bye in a 2-team year, but I'm guessing that there will be 2 or 3 Round of 8 byes (2 of which might in fact be one semi-final bye).
Third, how long should the matches be? If you follow Hannie's "format," USA2 will have 4 teams when the USA1 finals starts. Those 4 need to reduce to 1 to play the losing finalist. So do they play matches that are half as long as the USA1 finals? Or does the losing finalist get a day of rest while they finish? (that would still involve shorter USA2 matches).
I suspect that the conclusion you're all reaching - that a double elimination KO is the right solution - is right, and so then we have to resolve the non-trivial problems that involves.
I don't imagine this matters much in the attempt to determine the two best teams. But, it will make a difference in how long most teams will play, so is more of an organizational matter than a competitive matter. I would tend to think that teams that have spent the time and money to enter the event would want to play as long as possible, so you would want to have a USA2 bracket created sooner rather than later.
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Second, as Arend points out, there are often teams with byes. We never know until after the Vanderbilt how many byes there will be, and there has been some discussion of making it harder to get a semi-final bye in a 2-team year, but I'm guessing that there will be 2 or 3 Round of 8 byes (2 of which might in fact be one semi-final bye).
Byes don't seem too difficult to accommodate. If you are willing to fill out the uSA2 bracket with some teams from the round robin that did not qualify for the winners' bracket, the matter is trivial. I posted the specifics earlier today -- the problem of three byes to the round of 8 (which I did not consider earlier) is taken care of by qualifying 10 teams to the USA1 bracket and 6 to the USA2 bracket.
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Third, how long should the matches be?
There are two competing considerations here: matches should be long enough to produce significant results; and matches should be short enough to be organizationally practical.
My guess is that the difference between a 90 board match (6 x 16) and a 128 board match (8 x 16) is not significant (and that both are probably too short to reliably determine the stronger team). I bet those statisticians that have studied this would be happy to speak up.
If you start the KO phase with the round of 16, you need four rounds to determine USA1 and two additional rounds to determine USA2. That's six KO rounds, if you use 90 board (day and a half) matches, that's nine days of KOs. Another 3 days for the round robin means a 12 day event. But, the main event (USA1) will be done in 9 days, with the playoff for USA2 requiring three extra days. The event could be shortened by 1/2 a day by playing 64 board matches in the round of 16; or by a full day by playing 64 board matches in the rounds of 16 and 8.
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If you follow Hannie's "format," USA2 will have 4 teams when the USA1 finals starts. Those 4 need to reduce to 1 to play the losing finalist. So do they play matches that are half as long as the USA1 finals? Or does the losing finalist get a day of rest while they finish? (that would still involve shorter USA2 matches).
I think the thing to do is to have four teams remaining at the conclusion of the USA1 bracket: one losing finalist plus three teams with one loss from the USA2 bracket. Then you have four teams playing off for USA2. This means you won't have to adjust the match lengths or deal with a team having time off.
At first glance, it might seem that the losing finalist should not be treated the same as the one-loss teams from the USA2 bracket, after all they reached the finals. But, some of those other one-loss teams may also have lost only to the USA1 winners. The losing finalist could be allowed to pick their opponents in the first playoff round as something of a reward for having made it to the USA1 finals.