colts18 wrote:picko wrote:
Maybe they are just surprised by the volume of his assists, which is understandable since averaging 11.1 assists is almost 4 standard deviations above his career average. The probability of a career 7.3 apg player, with LeBron's career consistency, averaging 11.1 apg across a season is practically zero (about 1 in 15,000 to be more specific).
You are using statistics wrong. Practically zero . Cmon.
First off, Plenty of players have had streaks of averaging 11 Assists for a 13 game run. Remember, this is only 13 games. A very small sample size.
2nd, James Harden is a career 6.2 Assists per game player. He averaged 11.2 Assists per game once in a season.
I don't think you understand the relationship between mean, standard deviation and probability. And until you do I'd avoid accusing someone of 'using statistics wrong'.
'LeBron's career consistency' refers to the standard deviation of assists per game across LeBron's career. His standard deviation is incredibly low compared with most players. Therefore large deviations from his average are highly unusual for an entire season. And of course my quick calculations were based on season probabilities, not on small in-season samples, of which variation can be much greater.
LeBron James (per 100 possessions; assists per game)
Career: 9.8
St Dev: 1.3
Current: 15.2
(Current - career)/St Dev = 4.1
James Harden (per 100 possessions; assists per game; only Rockets)
Career: 10.1
St Dev: 2.3
Peak: 14.8
(Current - career)/St Dev = 2
The probability of an event with a St Dev of 2 occurring is about 1/22. The probability of an event with a St Dev of 4 occurring is about 1/15000. Of course in a league with so many players, events with a St Dev of 2 or 4 happen more often than you'd think.
Nevertheless, the probability of LeBron averaging 11 assists per game across an entire season is incredibly low. It'd be a huge outlier given what we've seen from him in his previous 16-seasons. It'd also be a much greater outlier than James Harden doing it.