In our previous post, we introduced the theory associated with Regularized Adjusted Plus Minus (RAPM) through an illustrative example. In this post, we walk through a vanilla-flavored methodology for building a RAPM model for NBA data. In this article, we focus on the data necessary, the required data manipulation process, and methodology for determining required…
Let’s start with a simple exercise. Suppose we have a three-on-three game, where there are five players on each team. If the game results in Team A defeating Team B by a score of 54 – 53; how can we determine each player’s contribution? We will identify the players as A1, A2, A3, A4, and…
If there was ever an evolution of basketball that led to present day NBA, it would be the transformation of the misdirection offense starting in the early 2000’s under Spurs’ head coach Greg Popovich. Leading the charge in reducing the number of low percentage shots, spreading the court through a series of flare screens, drags,…
One of the simplest offensive plays in basketball is the pick and roll. The philosophy is relatively straightforward, a ball handler waits to receive a screen from a teammate and reacts accordingly. If the teammate establishes position, gets low and wide, and makes proper contact with the ball handler’s defender, then the defense is forced…
In 2004, Dean Oliver expanded upon his “Four Factors” philosophy from his 2002 book, Basketball on Paper, in an attempt to identify how four important strategies relate to success in basketball. These strategies are nothing new, as these were drilled into my head from coaches dating back to the early 90’s. The novelty of understanding…
In our previous post we tackled, at length, how John Hollinger’s Player Efficiency Rating (PER) is calculated and identified how different aspects of a player’s game is weighted. This leads us to question certain components of PER. Should I prefer a scorer or a rebounder? How do these terms interact? What about team affiliation? In…
Warning: Lots of Math Ahead… With the introduction of Player Efficiency Rating (PER), John Hollinger constructed a methodology for comparing the relative accomplishments of players across leagues, as well as across years. While being commonly viewed as complex and unidentifiable, the idea is relatively simple: produce a value for each player such that it captures their personal…
Back in 2012, on the heels of my PhD in nonparametric Bayesian density estimation, I developed a methodology that constructs a nonparametric Bayesian density and teases out a nice spatio-temporal decomposition of movement on a space of interest. Pointing this at NBA SportVu data, the decomposition kindly identified player tendency in specific types of offenses…
With the highest return for a field goal attempt per possession being a three point field goal, teams have caught on that three point field goals are the optimal way to go on offense provided they have consistently accurate shooters from that range. This qualifier has been the difficult part of the three point equation.…
Here is an update on how safe an NBA lead is for the 2016-17 NBA Season. Last season, we found that the Bill James’ bound was violated twice in the 2015-16 NBA season. This year, the bound was violated one time: January 4th, 2017 by the Miami Heat against the Sacramento Kings. The same Sacramento…