Re: [quizbowl] Re: CBI Region 9 Results (LONG)

This post is extremely long; don't read it if you
dislike such posts.

The NFL is played for the purpose of making money
through the sale of tickets, broadcasting rights, and
merchandise. The customers are the fans. Thus,
striking a balance between playing as many games as
possible and not compromising the players' health, and
creating drama through single-elimination playoffs,
are sensible, because they entertain fans and thus
make money. Of course the NFL doesn't play a full
round robin and declare the team with the best record
the champion; as much of an improvement as that would
be in determining the best team, it would be far less
interesting to the fans and markedly shortening to the
careers of the players; the loss of interest and the
dilution of the talent pool would surely hurt
profitability in the long run.

Quizbowl is played for the purpose of entertaining the
participants. The players are the customers, and it is
a generally held presumption that a more fair
tournament (with no assertions thus far in the
argument about what is "fair") is more entertaining
and more likely to create new and repeat business from
those customers (I'm sure there are some who do not
agree with this, but since our precepts differ so
much, we have nothing to discuss, so please ignore
this message.)

The following conditions enter into my definition of a
fair format: the same performance creates the same
finish for two different teams, won-loss record (and
playoff brackets created solely by won-loss record) is
the sole determinant of final rank, paper tiebreakers
are not used, no game is double-counted (i.e., no
head-to-head tiebreakers for advancement or seeding.),
and a full ranking (not just a champion) is produced.

Under these conditions, the most fair format is a full
round robin with all ties broken by playoffs; 
sometimes, this is modified by requiring a weighted
2-of-3 final if the leading team is ahead by only one
game in order to offset one bad packet. This is still
fair, because it is mathematically impossible for a
team to win the tournament without having both the
best overall record and a winning record against the
second-place team.

In some tournaments, the size of the field makes a
full round robin impossible. Some compromise must be
reached which takes fairness, available rounds, and
available time into account. With the exception of
NAQT ICT and Penn Bowl, all collegiate tournaments
which are too large for a round robin are still small
enough to run preliminary brackets which feed into
either a single playoff bracket (which then serves the
same function as the full round robin) or into two
playoff brackets, which create a fair final: since the
teams in the final have not played the same playoff
fields, it is viable to assume that no assumptions
about their relative abilities can be made, and they
can enter a one-game final with a clean slate. The
fairness of such a setup is dependent on the
preliminary brackets being of equal strength, and it
becomes less and less fair as the strength of the
preliminary brackets diverges more and more.

At Penn Bowl and the ICT, it is not viable to run any
of the above formats: even the quickest one, the
prelim brackets--two playoff brackets--final format,
would take a minimum of, I believe, 20 rounds, and
that's allowing for teams to be eliminated from
contention with only one loss (which is only fair if
one has a level of confidence in the quality of the
packets which is so high as to be unwarranted by more
than a small handful of the packet sets actually
produced each year.) This calculation is an
arithmetical one; I'm not skilled enough to generalize
a formula for the minimum number of games needed, and
I may be off by a game in either direction.

So, these tournaments strike a compromise, creating
the "least unfair" format with the time and packets
available. NAQT's format last year should have
provided no gripes. Penn Bowl's leaves something to be
desired; while there is nothing unfair in determining
the *champion* through single-elimination, it makes no
attempt to rank the rest of the playoff teams. This
year's format was an improvement over last, where the
single-elim was the only stage of play after the
preliminaries; only the seven teams which made the
final bracket without winning should have a complaint,
and that only about the imprecision of their ranking
within the 2 to 7 block of the final standings.

The problem of Penn Bowl is fundamentally different
from the problem of College Bowl, however. I think it
can be best summarized as follows:
--Penn Bowl determines its champion fairly, ranks team
9 through the bottom of the field fairly, and fairly
determines which teams are 2-7. Penn Bowl does not
fairly determine the order of teams 2-7. The reason
for this is a lack of available rounds and time.
--The College Bowl NCT/RCT format does not determine
its champion fairly, but does rank teams 3 and below
fairly (5 and below in the RR-->four team double-elim
format.) The reason for this is a desire to create
"showcase" matches artificially for the purpose of
maintaining the atmosphere of a televised event.

Of course, if the top team entering the double-elim is
only one game ahead of the eventual winner, and the
playoff bracket plays out such that the champion has a
better overall record with all games considered, then
double-elim is a fair a format as any. But, consider
this scenario:

Standings After RR:
University of North Tacoma 11-3
Ogdenville Community College 10-4
North Haverbrook Tech 10-4
Shelbyville A&M 9-5

(The tie between Ogdenville and North Haverbrook is
not broken because the 2 and 3 seeds play each other
in the first round.)

Double-elim playoffs:

Round 1: 
Shelbyville d. North Tacoma
Ogdenville d. North Haverbrook

Round 2:
Shelbyville d. Ogdenville
North Tacoma d. North Haverbrook (North Haverbrook
eliminated)

Round 3:
North Tacoma d. Ogdenville

Round 4: 
North Tacoma d. Shelbyville

Round 5:
Shelbyville d. North Tacoma (North Tacoma eliminated,
Shelbyville champion)

The aggregate records are thus:

University of North Tacoma 14-5
Ogdenville Community College 11-6
North Haverbrook Tech 10-6
Shelbyville A&M 12-6

Shelbyville is the champion and North Tacoma is
second, even though North Tacoma has two more wins in
one more game, and one fewer loss in one more game.
This is unfair.

In the format used from the early 90s through last
year at the College Bowl NCT, the situation was
simpler: a 2-out-of-3 final between the top two teams.
In 2001, the conditions for a markedly unfair outcome
were laid. The round robin finished with Michigan at
15-0 and both Chicago and Texas at 11-4. The
Chicago/Texas tie was broken with one of the unfair
tiebreakers listed above. Michigan ended up sweeping
both finals games, avoiding any problem with the
ranking of the #1 team; however, if Chicago had won in
any sequence, then they would have had a worse overall
record than Michigan.

Less rigorously, I assert that College Bowl has, for
decades, shown its explicit contempt for the idea of
the players as the customer and attempted to undermine
other, better tournaments at every turn. Also, in my
opinion, their questions are a joke, but I don't wish
to create a tangent: even if CBI questions were
perfect, their format would still be unfair.

So, the reason I don't complain about Penn Bowl is
because its fairness problems are as minor as possible
considering the resources available, and the champion
is ultimately determined fairly. College Bowl
obviously has the resources for a fair format (the
round robin and playoff packets which it uses anyway)
but chooses to create artificial games to indulge the
hallucination of a television audience. In the
process, the fairness of the entire ranking is
compromised.

--M.W.

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