In my last post, I introduced the for the usage vs. efficiency relationship. If we agree that the upper-right edge of that relationship represents "greatness" (in terms of scoring), then it is a simple matter to quantify the relative greatness of all other player-seasons by measuring the distance from each point to that edge (see the plot below).
The distance between a data point and the edge of the USG/EFF relationship is a measurement of relative offensive value.
The equation for the fitted line (black) was determined to be:
Using this equation we can find the (a few examples are highlighted by the red "drop down" lines). We can use the distance right away to rank the players, but the values don't have much meaning. To put the measurement in some context, I am reporting the distance as 1.0 minus the ratio of the distance to that of a hypothetical average player (54% TS, 20% USG). Therefore, a player that is very close to the line will have a measurement of close to 1. A player close to average will be around 0. Here is a list of the players since the 3-pt rule took effect that have had TS%>55% and USG%>25% (as you can see, all players who were used to create the "greatness" line were given the same rank):
From the current season, we have:
RANK | NAME | SEASON | DIST | AGE | TEAM | USG% | TS% |
19 | 2011-12 | 0.899 | 23 | OKC | 31.0 | 60.80% | |
20 | 2011-12 | 0.897 | 27 | MIA | 31.3 | 60.50% | |
81 | 2011-12 | 0.726 | 30 | MIA | 31.8 | 56.90% | |
105 | 2011-12 | 0.683 | 23 | OKC | 32.7 | 55.30% | |
175 | 2011-12 | 0.594 | 23 | MIN | 28.5 | 57.40% | |
207 | 2011-12 | 0.546 | 33 | DAL | 29.4 | 55.70% | |
228 | 2011-12 | 0.526 | 19 | CLE | 28.1 | 56.50% | |
249 | 2011-12 | 0.498 | 26 | ORL | 26.4 | 57.50% | |
270 | 2011-12 | 0.475 | 34 | BOS | 27.6 | 56.00% | |
301 | 2011-12 | 0.436 | 26 | POR | 26.9 | 55.90% | |
317 | 2011-12 | 0.407 | 22 | LAC | 27.2 | 55.10% | |
360 | 2011-12 | 0.306 | 28 | GSW | 25.1 | 55.10% |
[...] calculated the distance metric that I introduced in a recent post for the 10,000 or so player seasons since the 3-pt shot was [...]
[...] Posted on April 13, 2012 | Leave a comment Some more stats to throw at you today using my new distance metric, which judges scoring based on both efficiency (measured by TS% ) and volume (measured by [...]
[...] Posted on April 13, 2012 | Leave a comment Some more stats to throw at you today using my new distance metric, which judges scoring based on both efficiency (measured by TS% ) and volume (measured by [...]