Wednesday, January 8, 2014

Could have just asked Phil Jackson

Or the two Reds (Auerbach, Holzman) and saved on the math;
Adding a one standard deviation better offensive intercept, offensive spillover, or defensive intercept player improves a team's per possession point differential by 0.032, 0.024, and 0.035 points respectively. Compared to the baseline standard deviation of point differentials of 0.087, these numbers indicate that adding a one standard deviation more skilled player increases a teams per possession point differential by 28% to 40% of a standard deviation. The largest change in team performance stems from the addition of a better defensive player. Adding a higher offensive intercept player also benefits the team, but the positive effect will be muted since adding a good scorer necessarily decreases the opportunities that the other players on the team have to score. In other words, there is a substitutability in production on offense that does not exist on defense.
Which is the conclusion from Productivity Spillovers in Team Production: Evidence from Professional Basketball by Duke's Peter Arcidiacono, Rochester's Josh Kinsler and BYU's Joseph Price.

Who also note that the better team player probably won't reap the reward through higher pay.

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