To reach the NBA Finals, Russell Westbrook of the Oklahoma City Thunder needs to pass more, especially to his teammate Kevin Durant. That would be the message that two researchers would send to Thunder coach, Scott Brooks, if given the chance. Matt Goldman, a graduate student at the University of California, San Diego, and Justin Rao, a research scientist at Yahoo Labs recently named Westbrook as the biggest “chucker” in the NBA because of statistics showing that he shoots much more often than he should, while Durant is classified as an undershooter, whose team would benefit from him taking more chances.
While their statistical theory builds a case for how to achieve optimal efficiency on the court, they don’t explain why elite players make the in-game decisions that they do. For that matter, what about the high school ball player or the weekend warrior at the gym; how do they make the decision to pass or shoot? For that, Markus Raab and Joseph Johnson, both sport scientists, have some insights from their research.
First, let’s do the numbers. Goldman and Rao dug into the NBA stats archive to analyze over 400,000 team possessions over the last four seasons, 2006-2010, across the entire league. In a paper and presentation at the recent MIT Sloan Sports Analytics Conference, they presented a model that compares the difficulty of a shot taken in relation to the time remaining on the 24 second shot clock. Then they compare this with a concept called “allocative efficiency”, or the benefit of equally distributing the ball to any of the five players on the court and also “dynamic efficiency”, or deciding whether to “use” the possession by taking a shot or “continuing” the possession by making a pass. As the shot clock winds down, the marginal difficulty of a shot considered will need to rise or they risk getting no shot off before the 24 seconds expires, wasting the possession.



