# Mathletics: How Gamblers, Managers, and Sports Enthusiasts Use Mathematics in Baseball, Basketball, and Football

By Wayne Winston | Go to book overview

29
LINEAR WEIGHTS FOR EVALUATING
NBA PLAYERS
In chapter 3 we discussed the use of Linear Weights to evaluate MLB hitters. We found that by determining appropriate weights for singles, walks, doubles, triples, home runs, outs, stolen bases, and caught stealing we can do a pretty good job of estimating the Runs Created by a hitter. Given the wealth of information in an NBA box score, many people have tried to come up with Linear Weights formulas that multiply each box score statistic by a weight and equate the weighted sum of player statistics as a measure of the player's ability. In this chapter we will discuss several linear weighting schemes used to rate NBA players:
 • The NBA Efficiency metric • John Hollinger's PER and Game Score ratings • Berri, Schmidt, and Brook's (BSB) Win Scores.1

NBA Efficiency Rating

Let's begin by discussing the NBA Efficiency rating (created by Dave Heeren), which is computed as

This simplistic system essentially says that all good statistics are worth + 1 and all bad statistics are worth — 1. This does not make sense. For example, a player who shoots 26.67% on three- point field goals (which is almost

1 Berri, Schmidt, and Brook, Wages of Wins.

-195-

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