Yeah, I'd be surprised if the data didn't bear it out, but I've never seen that sort of info published. Percentages are one thing, but is standard deviation recorded anywhere for shooting? Guys like B. Forbes and Seth Curry seem to be 2/4 or 3/6 every game, so I'd expect them to have a very tight S.D. in comparison.
Even early in his career, I recall RoCo's reputation bouncing between being a shooter and a defender, largely because his shot seemed to come and go by the season.
I’ve been thinking about this - how to measure the streakiness of a shooter. Its not so clear how to do it. First thought is, just use standard deviation. Ok. But standard deviation of what? Field Goal % by game? Problem with that is a player who takes more shots per game will have a smaller standard deviation in FG% without being less streaky. For example, in the extreme, a 50% shooter who takes only one shot per game will oscillate between 0% and 100% FG% per game. Lower volume players will appear to be more streaky. Ideally a measure would work across players and not be biased by volume.
So I started thinking of just looking at the stream of shots alone, not grouped by game or week or month...
What would it mean for a 50/50 coin of 100 flips to be perfectly consistent? I would say this:
HTHTHTHTHTHT..... (100 times)
because for any even-length sub-segment of flips the coin is 50% and for any odd sub-segment it’s as close to 50% as possible. How can you be more consistent than that?
And what stream of 100 coin flips is as streaky as possible for a 50/50 coin?
HHHH.... (50 times) TTTTT.... (50 times)
So how to turn those into a number? I just count the number of switches H to T or T to H.
In the first case the coin “switches” 99/99 times. In the seconds case the coin switches 1/99 times. So a measure of 1.0 is perfectly consistent. A measure close to zero is perfectly streaky. A measure close to 0.5 is what a fair coin would do.
That’s as far as my thinking has gone. A problem with my measure is a 60% shooter will tend to be measured as more streaky than a 50% shooter.
Anyway, I have hooked into the NBA stats api and could easily run any streakiness measure against it, just not sure yet what unbiased measure would best capture streakiness.