Re: Points created / PATH

<<I have a question that I am certain
someone here can answer. What is the URL to the page with
the entire Points Created formula on it? I can't seem
to find the darned thing.>>

I wasn't
able to find it either, although, if memory serves me,
Points Created hasn't been used at any tournament in
several years.

In any case, though, I'd like to
mention a simpler version of Points Created, which I call
Points per Adjusted Tossups Heard (PATH).

Penn
Bowl 10 statistics have been posted in PATH (
<a href=http://www.pennbowl.org/pennbowl10/indstat.html target=new>http://www.pennbowl.org/pennbowl10/indstat.html</a> ); since I had to do PATH analysis for the ICT
prognostication contest, *those* results are available at
<a href=http://www.pennbowl.org/ictind.html target=new>http://www.pennbowl.org/ictind.html</a> .

The basic formula for PATH
is

[Player points x 20] / [(Total TUs heard - teammate TUs -
0.5 * teammate -5s) x (TUs heard by player / TUs
heard by team)]

For a team that makes no
substitutions, the last fraction is 1.0, and drops out,
leaving

Player points x 20 / (Total TUs heard - teammate TUs -
0.5 * teammate -5s)

[Example: Statistics for a
two-person team, 10 untimed rounds (200 TUs):

Player
A: 40-10 (350 pts, 35 PPG)
Player B: 30-10 (250
pts, 25 PPG)

Player A: 350 x 20 / [200 - 30 -
.5*10] = 7000/160 = 43.75 PATH
Player B: 250 x 20 /
[200 - 40 - .5*10] = 5000/150 = 33.33
PATH]


The goal of PATH is to estimate what a player would
score, over the course of 20 tossups, *playing without
teammates.* [For a one-person team, therefore, PATH is
identical to points per 20 TU heard.]

It does so by
adjusting for the shadow effect (better teammates will tend
to lower *your* scoring), and for match length in
timed matches. It does *not* increase the interrupt
penalty, or attempt to incorporate bonus
conversion.

Also, since it was a point of confusion, I should point
out that the way *you* achieve your points has no
effect on PATH, but how your *teammates* achieve it
does: if you have a teammate that scores 0 PPG going
0-0, that player contributes nothing to your PATH. If
he or she does it by having a TU/I ratio of 1-2,
then those TUs and -5s do contribute to your
PATH.

The major advantage is that it is relatively simple
to calculate: it can be done with a single formula
(although I personally use four separate formulae because I
find it easier that way).

I can say that I put
enough stock in its results that I plan to use it again
for the stats for Penn Bowl 11.

--STI

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