Re: When to leave a game?
- --- In APBR_analysis@yahoogroups.com, <igorkupfer@r...> wrote:
> > I wasn't very impressed with that article on pace management,something
> > though. They pretty much assumed the answer that they got,
> > I discussed with schtevie offline for a while.on the article, but
> > Not sure if there are any others.
> > DeanO
> Can you post some of your comments? I tried to follow the argument
> the math was slightly beyond me.p. 43: "We remark that for simplicity we will think of a team's
unconstrained mode as its best scoring offensive style of play versus
the current opponent."
This is the assumption that ruins everything. They assume that there
is exactly one pace at which the teams is optimal, rather than an
array of paces or a range of paces.
p. 44: "A popular belief among sports analysts is that, when the
score is tied or a team is ahead, a lengthy possession is better than
a short possessions. Surprisingly this belief, as a general
statement is false."
This is the kind of analysis that is nice to do, but they biased
their answer by assuming that a team gets worse by holding the ball.
Now that may be true if they hold it too long -- I have seen that --
but they need more to strengthen such a statement.
Figures 1 through 3 use the notation (P, time units), where P is the
probability of scoring and time units is how many time units each
possession takes. Note that in each case, the intermediate time unit
case (=2) has the highest P. If they had left all the P the same and
just changed the pace, their arguments would have been potentially
stronger, but now their results are clouded by changing P.