Revenge of the Box Model
A little over a year ago, I introduced a test version of the so-called Box Model, a compact graphic way to show team performance. There was some really great feedback in that thread, from fans of the idea but also from critics. Holmdel and smgmatt, in particular, made some key points about the readability of the graph.
It's been a while, and I think about the Box Model every now and then. And since there's no way I can write as beautifully as section214, I've taken another shot at the Box. Here's the Kings' 2009-10 version of the prototype. An annotated copy, the Lakers' and Warriors' Boxes and more explanation after the jump.
Here's the annotated version for some cursory explanation:
* The first thing you might notice: this box includes both offense and defense. I wanted to find an economical way to present both sides of the court on one graph. The old Box Model didn't really allow that, because it had a lot of detail. Which brings me to ...
* There is a lot less detail here. The spatial element is almost completely removed. The old Box had sliding scales and reference lines. It was a lot to interpret, and the point of creating a visual representation of a team's performance to make interpretation dead easy. Stripping the scales and reference lines, I believe, does a lot to ease up how one reads this.
* There is some spacial representation here: points per shot is more than twice as important on both sides of the ball (offense and defense) than rebounding and turnovers. Rebounding and turnovers are about equally important, on the whole, over years of league data. That's roughly represented here: the two PPS rectangles are bigger than the roughly equal rebounding triangles and turnover half-ovals.
* There's still some representation of what offensive rebounds and turnovers actually do. You'll notice that the turnover half-ovals cut into the PPS rectangles; that makes sense, because turnovers take away from a team's ability to score. Inversely, offensive rebounds add to a team's scoring ability, so the "added" triangle can be interpreted as extending the PPS rectangle.
* The color scheme is as simple as possible. I really had to keep myself from adding in a fuller range of values, but three is good for now. Green signifies good. Gray signifies average. Red signifies bad. It's important to note that the colors stay with the team being studied: a red PPS rectangle means that the team has a bad shot defense, it doesn't mean the opponent's PPS is low. The Kings have a bad shot defense -- that's why the lower PPS rectangle is red.
***
The Kings were pretty bad last year. We know this. The Box Model shows you how they were bad, and whether they were good at anything. Let's look at it again.
The top rectangle is red, so the Kings shot poorly. The top triangle is green, so the Kings rebounded well on offense. The top half-oval is gray, so the Kings were about average in turning over the ball. The bottom rectangle and half-oval are red, so the Kings had poor shot defense and turnover creation. The bottom triangle is gray, so the Kings were about average in defensive rebounding.
Good on the offensive boards, average in own turnovers and defensive reboundings, bad at everything else.
What about the champion Lakers?
There's no red there. That's a good team. The Lakers were about average in shooting and turnover creation, and good in rebounding on both ends, own turnovers and shot defense.
That's depressing, so let's look at a less glowing Box Model. Say, anyone seen the Warriors?
This one tells a pretty good story: the Warriors shot well, and forced a lot of turnovers without giving up the ball too much. But rebounding on either end? Shot defense? Baaaad.
We already knew the Warriors were bad, and we knew the Kings were bad. But this is a nice, easy way to show you how they were bad. Because all bad basketball is not the same.
One more advantage of stripping details and going with a simple color scheme? You can shrink it down to be even more economical.
***
As always, I appreciate thoughts and feedback. I hope to, in the next few days, adapt this for game-by-game use with a few test runs. Adapting for individual performance might be trickier, but I have some other ideas on that.
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Reminds me too much of Geometry class and I stink at math.
Good graphs though to give you a general idea of what the Kings and other teams do great at and what they do poorly at.
"Dodger fans aren’t happy when foul balls get into their section, because it interferes with their playing with the beachball"- Mike Krukow
by 49er16 on Aug 17, 2010 12:45 PM PDT reply actions 1 recs
Love it.
It takes a little getting used to but i can see this being a staple of STR. I would like to see this used for road vs home games and all kinds of other split stats.
Hmm...
I would leave the words in as reference, but only state in bigger text Defense and Offense once in their respective sides.
I didn't major in Common F-cking Sense, but ...
If you're color blind, the Kings are awesome!
by Bitgod on Aug 17, 2010 1:36 PM PDT reply actions 8 recs
By itself the Kings' "box-model" didn't do much for me.
But this picture is tremendous:
<img src="http://assets.sbnation.com/assets/416303/Box-http://assets.sbnation.com/assets/416303/Box-Pacific.jpg"/>
As a comparison tool this is brilliant. I’d love to see these for the Kings’ teams over time…would the teams of the early 2000’s resemble Phoenix’s I wonder? Also, I’m curious about the scalability of the colors. Does green simply mean better than average, and red worse? Were the Kings and [redacted] approximately even in offense rebounding? Did we shoot as poorly as the Clippers, or they as us? I understand the drive for simplicity but feel too much may have been lost with the three color scheme.
Regardless, this looks promising.
I would tend to agree
Maybe it is not doable, but different gradations of red and green would give a comparison of relative suckitude or awesomeness.
Good job TZ, I like the charts. I don’t remember them last time so perhaps this iteration will stick in the old noggin.
ooh i like this idea
use a color ramp for position in the league standings, last being a deep, dark red, best being a dark green. Cycle up through orange and yellow into the green.
Childress then flew to Greece and asked the team if they would pay him in gold bars, hookiers, weed, and marijuana. The rest is history.
by TheFifthMookie on Aug 17, 2010 2:39 PM PDT up reply actions
Red pixel + Green pixel = Yellow
Yeah, that might actually work pretty well. Average would be represented by yellow, instead of grey, but it conveys the same meaning anyway. And it works like a traffic light.
"DMC and Purple Jesus are gonna run shit very very soon" - "Gavin Maloof" commenting at probasketballtalk.nbcsports.com/2010/07/fear-demarcus-cousins-for-he-is-a-beast.php
I like it,
and want to see it in game previews in the future! kind of a quick snapshot for when I’m too lazy to read everything :)
Childress then flew to Greece and asked the team if they would pay him in gold bars, hookiers, weed, and marijuana. The rest is history.
Can of Worms, Z-man
Now I’ll want to see the Box Model for this team as the year progresses; comparisons between this year’s team and last year’s; comparing groups of Kings players on the floor together… there is no end.
I’ll admit, at first I thought the boxes were goofy, and too hard to interpret. Then after seeing the team-by-team comparisons, I fell in love.
"DMC and Purple Jesus are gonna run shit very very soon" - "Gavin Maloof" commenting at probasketballtalk.nbcsports.com/2010/07/fear-demarcus-cousins-for-he-is-a-beast.php
First thing I noticed...
The Kings are killing the league with their offensive rebounds.
"......but Curry had a better TS%"
A lot of that is because we miss so many shots
"Cousins is the Blaster to Evans’ Master, the Hammer to Evans’ Sickle"- HP
by tomroadrunner on Aug 17, 2010 5:52 PM PDT up reply actions
Completely unsolicited help... You can take it or leave it, or take some and leave some, whatever. If you want the PSD, I can give it to you as well.

It might be a useful template for you.
"Cousins is the Blaster to Evans’ Master, the Hammer to Evans’ Sickle"- HP
by tomroadrunner on Aug 17, 2010 3:49 PM PDT reply actions 1 recs
Or if you don't have photoshop, you can feed me numbers or whatever, and I can change the colors.
The words are all on a different layer than the box, so with PS it’s a lot easier to change the colors with the letters there.
"Cousins is the Blaster to Evans’ Master, the Hammer to Evans’ Sickle"- HP
by tomroadrunner on Aug 17, 2010 3:52 PM PDT up reply actions
I like this better

I didn't major in Common F-cking Sense, but ...
by MustangMBS on Aug 18, 2010 8:07 AM PDT up reply actions 9 recs
I think I like this too
Even looks like a Bball court.
Author of the Pick and Scroll. Follow me on Twitter here.
Cool, that was my intent
And the rebounds are on the part of the court that makes sense.
I didn't major in Common F-cking Sense, but ...
Nailed it.
When I looked at the new Box Graph, this was exactly my first thought. The triangles take away from the “box” feel of it (which isn’t good when that’s the name of the graph).
By putting the rebounds into the box, you keep the “box” feel, while also getting the bonus of making it look like a basketball court as well as giving the areas an instant meaning:
- Rebounds happen at the hoop – generally speaking;
- Turnovers send the ball towards the other side of the court; and
- Scoring happens on your side of the court)
THIS is the kind of thing that could make the Box Graph easy even for the statistically-challenged, which is a requirement for large-scale acceptance/usage.
Great work TZ, and nice touch on the graphic (with a bonus for including it in your comment) Mustang.
this is real nice
This might just make it too complicated, but a box in the middle of both ends on the court that have points per possession would be nice
Also a 5 color scheme would be ideal with the bottom 6 teams being a dark red the next six a lighter red the middle 6 gray and so on. It just puts more prospective.
Lastly if a team ranks first they should have the color gold to show they are king of that stat.
Still waiting for the Euler of basketball to play for the Kings
This could be awesome, but yeah, it might be a tad complicated.
The gold for being the league leader is awesome though. There should be another color for league worst. That way it would be more clear on who is truly elite and who is truly terrible in the categories.
"Cousins is the Blaster to Evans’ Master, the Hammer to Evans’ Sickle"- HP
by tomroadrunner on Aug 18, 2010 1:00 PM PDT up reply actions
I agree that more could a tad much
But I think that there is a middle ground in all this somewhere. I like it a lot.
I didn't major in Common F-cking Sense, but ...
That's awesome. If Ziller wants, I can change my PSD to this, its a pretty quick change.
I agree, the basketball court similarity is great. Good stuff Mustang
"Cousins is the Blaster to Evans’ Master, the Hammer to Evans’ Sickle"- HP
by tomroadrunner on Aug 18, 2010 12:57 PM PDT up reply actions
One if the things i prefer on visual repesentations is an actual size element that shows how much better one team is versus another. It is hard to tell exactly how much better one team is compared to the others with only colors.
I’ve seen some really good graphs showing this for baseball over at fangraphs. Of course those are only four variables…
by chri5 on Aug 17, 2010 3:58 PM PDT via mobile reply actions
I really like this. The color visual speaks volumnes.
It screams that the Kings played like crap last season, while the Lakers show what a championship team box should look like. I would keep the wording just as you have it.
If you want to be your best, you have to do your best, otherwise you are only second rate.
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Love it!
However, it seems to me like you’d have to adapt it only slightly to change it from a “box model” to a “bird model”. It kind of has a beak and a tail. If you just reposition it a little, the turnover section already looks a bit like a cloaca. Just my two cents.
But really, useful AND easy to read. Good stuff.
by Seth on Aug 17, 2010 6:22 PM PDT reply actions 1 recs
You call that a box model?

Now THAT is a box model.
"If you're going to lead the orchestra, you have to turn your back on the audience." -Geoff Petrie
by AnotherStupidSN on Aug 17, 2010 6:55 PM PDT reply actions 3 recs
Hey, what happened to my hot-girl-in-a-box?!?
"If you're going to lead the orchestra, you have to turn your back on the audience." -Geoff Petrie
by AnotherStupidSN on Aug 17, 2010 8:16 PM PDT up reply actions
Nevermind, she's back.
"If you're going to lead the orchestra, you have to turn your back on the audience." -Geoff Petrie
by AnotherStupidSN on Aug 18, 2010 6:17 AM PDT up reply actions
Rather see the model's box than the boxed model.
Check out my news parody blog, in which I make fun of current events @ liveonlocation.blogspot.com
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by PhutureKings on Aug 18, 2010 1:34 AM PDT up reply actions 3 recs
You all are way too high minded and high class for my taste
Only two rec’s?
Because talent? You want to add a guy like boozer because hes talented? I’m sorry i just don’t see that as a valid reason. -- fffindeed
by wallywagon11 on Aug 19, 2010 2:29 PM PDT up reply actions
I didn't even know they had models for that.
I’ve heard of hand models, you know. I’ve been out in the world.
Rocks are free, and slingshots easily stolen. And for a limited time, every third person who follows me on Twitter (andy_sims) gets a free ice cream cone.
Which I will eat.
OFF TOPIC
but Marty McNeal (sp) is reporting he has a source that Reke is going to be suspended for a game or 2 probablky
There are some guys smarter than me, some guys better looking, I take comfort in the fact that there is no guy that is both.
here
http://mpmcneal.blogspot.com/2010/08/bobby-jackson-not-only-played-with.html
There are some guys smarter than me, some guys better looking, I take comfort in the fact that there is no guy that is both.
You're not going blind, it's just Marty Mac trying to write a non-Webber story
An NBA spokesman recently said the powers-that-be were waiting to receive the official paperwork regarding Evans’ Memorial Day Speed Racer episode. Evans likely is to receive at least a one-game suspension, it says here.
By “here” do you mean you’re using yourself as a source? I’d have thought that not being the authorized biographer of the subject of the story would lead to sharper, more objective reporting. But here we are.
Rocks are free, and slingshots easily stolen. And for a limited time, every third person who follows me on Twitter (andy_sims) gets a free ice cream cone.
Which I will eat.
It makes so much more sense when you do it
I would be upset since LeBron didn’t get suspended for 101.
And by here I meant I just like people to know where I am at any given moment
Still here..
There are some guys smarter than me, some guys better looking, I take comfort in the fact that there is no guy that is both.
oddly enough things have technically changed in regards to athletes and suspensions for off the court behavior since then
I know a large chunk of it is Goodel with the NFL but I think it has changed things for everyone.
Because talent? You want to add a guy like boozer because hes talented? I’m sorry i just don’t see that as a valid reason. -- fffindeed
by wallywagon11 on Aug 17, 2010 10:59 PM PDT up reply actions
But 130 in Sac
is like 101 in Cleveland
There are some guys smarter than me, some guys better looking, I take comfort in the fact that there is no guy that is both.
Sorry to off topic your thread Mr. Ziller
I like graphical representations, but the King’s showed way too much red last year.
Next time you talk about boxes I promise to behave,
There are some guys smarter than me, some guys better looking, I take comfort in the fact that there is no guy that is both.
"Here"
is the parking lot of C-Webb’s closed Center Court Restaurant. It’s been a tough withdrawl for Marty Mac.
SACTOWN ROYALTY - Try our thick creamy shakes!
by section214 on Aug 17, 2010 9:18 PM PDT up reply actions 1 recs
The source
is the spokesman.
“It says here” is just a fancy way for Mac to say, “My guess is …”
"I know we certainly gave up a lot to get him, but we do have other players on the perimeter who we can plug in. We haven’t had anybody who we feel is a go-to guy in the post. So we gave up a lot to get a lot, and we’re real excited about adding Carl." - Paul Westphal
I would bet it is more complicated
like spread sheets of information
Still waiting for the Euler of basketball to play for the Kings
For non stat/graphic nerds like myself
I like the simplicity of both TZ original and Mustang’s adaptation.
I’d like to see it once a month as the season progresses, either in a game wrap up, its own post o maybe in the G,B and Ugly. I’d love to see how/if it changes as the season goes on month to month.
So imitate the action of the tiger!.
Lend the eye a terrible aspect
- and teach them how to war!
Henry V iii
Oh, and I'm hoping for a lot less Red
Can you handle that? ☺
So imitate the action of the tiger!.
Lend the eye a terrible aspect
- and teach them how to war!
Henry V iii
by lietothegirls on Aug 19, 2010 9:15 AM PDT up reply actions
How about included in the GB&U pieces?
I am thinking it might be a good backdrop…
I didn't major in Common F-cking Sense, but ...
I'll definitely look into it.
Perhaps have Ziller send the Week’s Box to me or something.
Author of the Pick and Scroll. Follow me on Twitter here.
Or maybe in some of the pre-game posts
We could check out our matchup with the other team to the Kings by comparing our graph to theirs… I know TZ does a lot of these sorts of posts.
I didn't major in Common F-cking Sense, but ...
The thing is
I’m thinking TZ is going to incorporate the box into his Post-Game reports. I guess he could keep a running one for the Pre-Game as well, for comparison. That way we could see stuff like “Oh we’re really good at offensive rebounding, and this team is horrible at it, so we should dominate the boards tonight” or “This team is really good at forcing turnovers, and we’re bad at handling the ball so we’ll have to keep an eye on that tonight”.
Author of the Pick and Scroll. Follow me on Twitter here.
I like the idea of pre game box models from the previous encounter
and/or season. A nice way to measure progress (or lack of).
by betweentheeyes on Aug 19, 2010 8:26 PM PDT up reply actions
I think I said that
So imitate the action of the tiger!.
Lend the eye a terrible aspect
- and teach them how to war!
Henry V iii
by lietothegirls on Aug 19, 2010 5:56 PM PDT up reply actions

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