First, I think that Ray's shooting has been off this year and it could be a sign of age catching up to him, but a few weeks of hot shooting will bring up his average to a more respectable number (although still off from his career average).
Sorry to mix sports, but here are Kevin Youkilis' batting averages:
2007 - Pre All-Star .328, Post All-Star .238, Season .288
2008 - Pre All-Star .314, Post All-Star .310, Season .312
2009 - Pre All-Star .298, Post All-Star .314, Season .305
From this we can see a few things:
1) Only in 2008 was his average at any point in time consistent with his historic average
2) Sometimes he is on a tear, other times he stinks, but he always averages out to be decent
3) Sometimes he gets hot in the beginning of the season, sometimes at the end.
I think you could look at any shooter in the NBA and find similar patterns.
Ray Allen has always had hot months and cold months, but has historically been very consistent (and good). Without having watched all his games in Milwaukee and Seattle, it is easy to just look at his season average and not realize that there were months where he was way way off (up or down) from that average.
Regression to the mean!
interesting counter argument, but i would still have a couple of questions before i would buy into it.
first, "regression to the mean," is it the best concept to invoke here? or, is it a questionable assumption that may mislead us in our attempt to predict ray's performance?
i know of no athlete whose performance deteriorates due to age, but then "regresses to the mean" for any length of time. (and even if a few exist, their small numbers confirm my doubts since the majority would push more towards the opposite.)
instead, it seems that any uptick in performances in later age is, by definition, an outlier and that the "mean" (that is, the mean of the player's career performance to date) being put into play is an questionable standard to predict future performance.
indeed, one could make a stronger case that deteriorating stats is regression to a mean...the
mean of aging athletes, and that such a standard is more informative than using a player's earlier stats as our standard.
second, you provide some interesting stats on youks, showing his in seasons splits. fine, but that does not address the point the EVEN WITH SUCH STREAKS AND SWINGS ray allen's SEASON shooting percentage is his poorest ever.
and when we factor in that youks is in his prime playing years and allen is beyond those prime playing years, perhaps youks is not a good example.
instead, might not the past season's performance by big papi be more indicative of ray's future?
do many folks expect papi this season to "regress to the mean" and put up lines of .300+, 30+ HR, 100+ RBI? as much as i would love to see it, i would not put my money on it.
so.....good post and thank you for it!!! but i am unconvinced.