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NBA HD: Visualizing Shot Selection by Position

The positional revolution has gained a full head of steam over the past month.  Although talk of tearing down the walls of traditional positions has been going on for years, Drew Cannon’s brilliant article at Basketball Prospectus blew the discussion wide open and sparked a slew of articles from the game’s brightest writers and analysts.

Definition is the root of the issue.  What is a point guard? Besides height, what differentiates a power forward from a center?  Why do we call a player who can’t shoot a lick a shooting guard?

Here’s an attempt at quantifying those definitions from the shot selection standpoint. Using Hoopdata.com’s player shot location data, I’ve calculated the average shot location shares of each position (the positional designations on Hoopdata come from dougstats.com).

We want to outgrow the conventions of traditional positions but let’s see if we can observe divisions in the first place.  Hoopdata breaks down shot types into 5 buckets: at the rim (layups and dunks), <10 feet, 10-15 feet, 16-23 feet, and 3-point shots.  Here’s how the five positions look, in terms of percentage of shots in each location.  So what does a point guard’s shot makeup look like compared to a shooting guard? Where do we see the biggest disparities between positions?

Here we see that the typical point guard attacks the basket more than the typical shooting guard and then the basket attack trends upward with the following positions.  Most point guards work out of the pick-and-roll which lends itself to penetration to the rack or dishes to the rolling big.  They’re getting almost all of their at rim baskets on penetration as opposed to bigs who can get layups/dunks from offensive rebounds.

Looking further, we see that the mid-range jumper is the least populated area for shots but there isn’t much distinction between positions in the mid-range.  What’s also interesting is that point guards, shooting guards, small forwards, and power forwards all shoot the long two in similar doses, with centers only taking about 18 percent of their overall game from here.

From the 3-point line, it makes sense that shooting guards launch the most from deep and the centers the least.  Nothing too ground-breaking there.

Perhaps what’s most interesting is how similar point guards and small forwards are in their shot palette.  The blue and green bars are nearly identical with each other from zone to zone.  Below is the graph in table form along with the assisted percentages and field goal percentages from each shot location, courtesy of Hoopdata.

There’s plenty of good stuff in the table above but for now, let’s dig deeper and see which players get classified in a particular position but shoot nothing like their traditional brethren.  To get there, I calculated each player’s z-score (which, in simple terms, calculates the magnitude of deviation from the norm) compared to the positional mean from each shot location.  Then, I took the absolute value of those z-scores and summed each location together for the Zsum to get the final aggregated score.  Note: I only looked at players who averaged 20 MPG and played 20 games last season.

In the first table below, we find that Miami Heat point guard Carlos Arroyo deviates the most from the shot selection of a traditional point guard.  In particular, 65.3 percent of his shots come from long twos and he barely attacks the basket or launches from downtown.  His z-scores total to 8.19 which is the highest sum of the point guard bunch.  Perhaps is good that he doesn’t attack the basket, as he only converts on 47.8 percent of his tries which is far below new Charlotte Bobcat Shaun Livingston’s 71.4 percent success rate.

The first table displays the “Least Alike” players in the group and the next table shows the “Most Alike” which tells us who are the most protypical point guards in their shot selection.  Orlando point guard Jameer Nelson tops that list.  I’ll save the commentary for a later date but I found this to be a pretty interesting exercise.  Which players are positional contrarians? Find out below. (My apologies for the blurriness).

SHOOTING GUARDS

SMALL FORWARDS

POWER FORWARDS

CENTERS

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This is all very interesting; there are some great finds in those charts. (ie. david lee shot 49% from 10-15 feet) Wow. That's one of the best in the league.

However, i don't think these stats are actually indicative of position; They only account for shooting tendencies. What about facilitation, rebounding responsibilities, and match ups?

A point guard is more defined by the other things he does. There are a few wing players with similar tendencies to Steve Nash but would you compare Nash's role more to Jason Kidd or Danilo Galinari?

Do these account for when a player gets fouled or just attempts which were recorded as FGA? For example, Kevin Martin get a huge chunk of his FGA at 16 ft +, but he also drew a ton of fouls. Did he draw those close to the basket or also from 16 ft +? If the former, the data here doesn't really reflect his shot pattern since he did try to show from close during these possessions, it's just that his FGA was erased by a foul.

Good work, but I wonder, where is Okur?

I was just wondering if the shot selection data covered just last season. It would be really interesting to compare the data from recent season to that of historical season and see if there has been a shifting in the roles of each position over time.

I would also be curious to see if there are certain player's who's Z sums change a lot from season to season. I saw a post recently (at Basketball Prospectus maybe) about player's production changing when they move to a new team and assume a new role. It would be interesting to see how that affects their shot selection.

Thanks for the great analysis!

Is there some way to do a cluster analysis of all this, to define new positions? SF looks like SG to a large extent... Could it be possible to do something like K-means clustering to define new offensive player "categories"?

Trackbacks

  1. [...] Tom Haberstroh wrote one of the finest positionality pieces out there yesterday on Hardwood Paroxysm: “[W]e find that Miami Heat point guard Carlos Arroyo deviates the most from the shot selection of a traditional point guard. In particular, 65.3 percent of his shots come from long twos and he barely attacks the basket or launches from downtown. His z-scores total to 8.19 which is the highest sum of the point guard bunch. Perhaps is good that he doesn’t attack the basket, as he only converts on 47.8 percent of his tries which is far below new Charlotte Bobcat Shaun Livingston’s 71.4 percent success rate.” [...]

  2. [...] Haberstroh did just that with his latest post at Hardwood Paroxysm, in which he analyzed the intersection between traditional positions and shot [...]

  3. [...] biggest and best offensive option could not be measured as he sat out all of last year, Hardwood Paroxysm’s Tom Haberstroh writes about the commonalities between NBA players’ shot selections at [...]

  4. [...]            *尽管火箭的运营团队和其他球队的运营方式不一样,但我们可以来看看火箭队员在球场上的表现有什么特别之处吧!Hardwood Paroxysm的专家Tom Haberstroh写了一篇探讨球员在球场上特定位置投篮选择共性问题的文章。最让人感兴趣的是,他列出了在某些区域投篮选择和大部分球员最相似和最不相似的球员。虽然火箭队的球员很少上这份榜单(没有太多的火箭队员有特别特殊的或者特别典型的投篮方式), 但是在这篇分析中,凯文 马丁作为大多数2号位的经典代表位列其中。和大多数的2号位一样,他有很多的3分投篮和中远距离跳投,并且时不时的冲击篮下。他的替补,考特尼 李在“正常度”属性上紧排马丁之后,和他一样属于“最正常”的分卫。由于他们俩加盟火箭的时间都不长,这一消息可能会让读者猜测火箭是否倾向于引入各个位置上的“经典位置球员”[而不是总在外面飘的内线球员或是总是靠大屁股往里面走的外线球员]。当然,另一位新面孔,贾瓦德 杰弗里斯的投篮选择择是另一个极端 – 再没有在投篮选择方面比他更不象大前锋的大前锋了。 — 从这个意义上来说, 杰弗里斯极少投篮也许也就并不是太大的巧合了。 [...]

  5. [...] Earlier this year, I published a post at Hoopdata that analyzed player’s who shoot like a position unlike their own.  (Too bad a virus gobbled up the article archive or else I’d link to it.) In that piece, Rajon Rondo, Channing Frye, and Kobe Bryant were featured as players who were contrarian shooters. Today, I’d like to update that post with a more rigorous statistical technique, z-scores, that I used in last week’s post. [...]

  6. [...] the past couple weeks in this space I have explored the shot tendencies of the traditional positions.  I’ve [...]