Potential Power Rankings - take 2 (4/4)

Unfortunately, I know of no way to balance for
geography short of finding the distance between every two
sets of schools and developing some factor from that.
Some geographic regions are obvious, others are not so
immediately apparent. For example, is Missouri-Rolla a
Southwest or Midwest team? Is Wichita State Southwest or
Midwest? Washington-St. Louis? Is Arizona State Southwest
or Pacific? I don't even won't to think about the
nightmare of classifying the east coast, where you can
throw a rock from one school's campus and land it in
another's. I am open for suggestions as to how to quantify a
geographic factor.

A question arose about a school
being adjusted down for entering many teams in a
tournament. This is not the case. An example should suffice.
A tournament has 20 teams and BSU A finishs 3rd.
They receive 6.667 power points. If there is a BSU B
and they finish dead last, BSU's adjusted rank is
1/(1/3+1/20) = 2.609. They then would receive 7.667 power
points instead. If a BSU C finishes 19th. BSU's adjusted
rank is then 1/(1/3+1/19+1/20) = 2.294, and BSU
receives 8.719 power points. Regardless of where the
school's team finishes, the more teams that enter a
tournament, the more power points everyone in the tournament
receives.

This issue hasn't been raised yet, so I'll raise. Why
were those tournaments the only ones chosen, and not
Penn Bowl, etc.?

These tournaments were
selected simply because for those tournaments the question
sets were standardized, not necessarily in difficulty
but in the fact that the participant teams heard the
same questions despite not being in the same location
(except the Nationals, where they were at the same
place). This eliminates the need for a factor for
question difficulty.

Another issue is imcomplete
reporting of results. The ACF Regional held in Chicago
posted only the top four finishes. Teams who finished
fifth or below received nothing in the power rankings,
and those who finished in the top 4 received 4/(# of
teams there) of the points they could have earned.
Similarly, those who finished fifth or below at all CB
regionals received nothing for their efforts for the same
reason.

ATTENTION: This is NOT a rant about incomplete results. This
is strictly to point out a limitation of this Power
Ranking Scheme.

Most responses thus far have been
quite positive, so I'm guessing it is somewhat close to
the real situation. I'll publish a new Top 40 after
ACF Nationals and a final one after CB
Nationals.

Next year, if I have time, I intend to use tournaments
with two or more mirrors in the ranking scheme because
of the question standardization. I do not plan to
carry over results from one year to the next. There
will be no pre-season rankings. The first one for Fall
2000 will be after either NAQT's fall tournament or
after the first doubly-mirrored tournament.

Dan
Beshear

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