PPTH and the "Shadow Effect"

It's possible I just don't understand the
statistical analysis of it, but why is points per toss-up
heard any better an indicator of how individual players
perform on teams than is PPG?

The way I understand
it, if one very good player plays with no support,
will not his/her stats be even more inflated? For
example, if someone averages 50 PPG on a team that hears
20 toss-ups per game, in a ten-game tournament, that
person will average 2.5 PPTH, but if someone averages 50
PPG on a team that hears 25 toss-ups per game in that
same tourney, that person will earn only 2
PPTH.

So a standout player on a mediocre team will hear
fewer toss-ups than one on an excellent team, because
his/her teammates don't contribute as much. Better teams
get toss-ups faster and they are more likely to get
the 30 on a 30-20-10 bonus (or even answer bonus
parts quicker) -- thus contributing to more toss-ups
heard.

And I do understand that it can work the other way --
two poor teams can also hear more toss-ups because
they won't earn as many bonuses -- but as a whole, in
the matches I moderated at Penn Bowl yesterday, I
read more toss-ups in matched involving higher-ranked
teams.

So after all that, my point is: some version of
Points Created probably provides a better indication of
an individual's toss-up strength than either PPG or
PPTH.

-Adam

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