Re: Winning versus scoring

<<NAQT *could* make ICT invitations in such
a way as to *guarantee* that a lower-ranked team
would not be invited before a higher-ranked team from
the same SCT. From the comments above (proposing
merely to "adjust procedures to decrease the likelihood
... unless the statistical difference is simply
overwhelming"), it appears that NAQT has already decided
explicitly to *reject* this idea out of hand.
Why?>>

False assumption, that NAQT has already decided
explictly to reject that idea out of hand. We have made no
decision at all, yet. It is possible that we may adjust
procedures to decrease the likelihood of making invitations
out of order of final finish within an SCT all the
way down to zero.

This would be a big change,
though, and complicated by the great variety of formats
used at the different sectionals. For instance, we
have had many instances over the years where final
official standings and overall winning percentages are
quite different things, due to playoff systems and
"upsets" therein. Look at what might have happened in Div.
2 of the NE SCT this year. After a round-robin, NYU
was 10-0 and ranked 1st, while Yeshiva was 4-6 and
ranked 8th. They went to playoffs, with #1 playing #8 in
the quarterfinals, needing to win two of three.
Yeshiva played NYU very close, winning the middle game
before losing the deciding one by 70. A 70 point swing
can be made on a single tossup/bonus sequence going
the other way. Suppose that Yeshiva had won that
final game. At that point NYU, now 11-2, and still
statistically the dominant team in the field, is eliminated in
playoff quarterfinals, and could place no higher than 5th
in official standings. Yeshiva, now 6-7, is
guaranteed a spot in the top four. Maybe that's OK--it
certainly respects the results of the SCT as set up--but
the best order of invitation for that SCT would be at
least debatable, assuming our goal to be selection of
the strongest possible ICT field.

The thing
is, when the basic approach was set up years ago to
order invitations following the automatics for winning
titles, it was seen as highly desirable to minimize so
far as possible the positive or negative effects of
competing in different tournaments of greatly differing
field strengths. Winning percentages are of little if
any help in comparing teams across tournaments; hence
the appeal of comparisons based upon points-based
statistics, with adjustments for computed strength of
schedule that are also point-based computations. That
gives us a nice objective basis (imperfect, as anything
would be, but objective) for comparing teams from
different sectionals. Theoretically, apart from winning
automatic invitations via overall or undergrad titles, a
given team will wind up rating about the same
regardless of what SCT they happen to play in, thanks to the
strength of schedule adjustment to the tossup points
scored per tossups heard statistic. (Bonus conversion
averages are assumed to be unaffected by the strength of
one's opponents, so that factor is left
unadjusted.)

However, the resulting power ratings based on points do
not in fact always align teams from the same
tournaments in the same order that actual winning percentages
do. This is clearly an anomaly of concern. A further
adjustment was therefore added to also make winning
percentage a factor. That adjustment was not large; it did
not this year keep a relatively high-scoring 6-7 team
from being ranked ahead of two lower-scoring 9-4 teams
from the same field.

That is a result that has
alarmed many, out of NAQT and in NAQT. I would guess that
the chances of our now making some sort of alteration
in the direction of placing far greater weight on
the importance of winning percentage within
particular tournaments is now approaching 100%. No specific
alteration has been either decided upon or ruled out out of
hand.

Eric H.
of NAQT, though the statement is my own

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