Wednesday, August 22, 2007

Statistical Analysis of the 2006-07 Duke Men’s Basketball Team


Last year’s loss to VCU in the first round of the NCAA Tournament has left a bad taste in every Duke fan’s mouth. I’ve avoided the loss and tried to block it out for a while now, but with the start of the new season rapidly approaching, it’s an appropriate time to analyze what went wrong.

I could give my opinion on why we faltered last year, but that wouldn’t be a good way to conduct an objective analysis. To eliminate any personal bias, let’s turn to something that doesn’t lie, the numbers. My friend James, who is one of those brilliant Duke kids who is going to win a Nobel Prize in quantum mechanics or something like that someday, put together a table analyzing the individual contributions of all of our players from last year’s squad. The table is based on an accepted metric to analyze the relative importance of basketball players in terms of wins and losses, a system created by The Wages of Wins .

I’d like to stress to all of you the theory behind this model. It’s tempting just to look at points scored as an indicator of a player’s ability, but the “Win Score” philosophy emphasizes efficiency. So a player that scores a lot of points but misses a lot of shots (i.e. Allen Iverson) is an inefficient player. The “Win Score” also emphasizes that getting rebounds and steals are in fact just as important as taking shots because they get possessions back for your team, which in turn leads to more scoring opportunities. Further, blocks prevent field goals and create rebound opportunities, while assists help indicate how much a player helps facilitate the offense. Thus, getting possessions back can be as important as getting shots. I would also like to stress the validity of this statistical design; the guys who came up with this metric achieved a 95% correlation between values for each player and actual team wins.

Before we delve into the stats, I’d like to define a few terms. If you’d really rather not get into all the specifics, you can skip the definitions (the bold terms) and just remember that the higher the score the better.

Win Score = Points + Rebounds + Steals + ½Assists + ½Blocked Shots – Field Goal Attempts – Turnovers - ½Free Throw Attempts - ½Personal Fouls

Win Score per Minute (a more accurate tool to compare players who have a significant disparity in minutes played) = Win Score/Min (duh)

PAWS (Position Adjusted Win Score) is used to compare a player to an average player at the position. Average Win Score/minute values for each position:

Center: 0.225
Power Forward: 0.215
Small Forward: 0.152
Shooting Guard: 0.132
Point Guard: 0.128

PAWS (Position Adjusted Win Score) = Win Score – (Average Win Score at Position Played * Minutes Played)

PAWS/min = Win Score per minute –Average Win Score at Position Played

From the Duke men’s basketball team statistics from last season, the following table was constructed:

Table 1- Duke Basketball Statistical Analysis/ ’06-‘07

The two most important values from this table are the WS/min and PAWS/min values. Only considering players who played at least 100 minutes (Jamal’s 30 minutes of garbage time at the end of games isn’t a large enough sample size to be considered), here is our ranking of WS/min (Win score/min):

1. Josh McRoberts: 0.262
2. David McClure: 0.216
3. DeMarcus Nelson: 0.173
4. Brian Zoubek: 0.162
5. Jon Scheyer: 0.136
6. Gerald Henderson: 0.099
7. Greg Paulus: 0.084
8. Lance Thomas: 0.056
9. Martynas Pocius: -0.016

Now let’s see the ranking for PAWS/min (Position Adjusted Win Score per minute) values for players who played at least 100 minutes:

1. Josh McRoberts: 0.037
2. DeMarcus Nelson: 0.021
3. Jon Scheyer: 0.008
4. David McClure: 0.001
5. Brian Zoubek: -0.063
6. Gerald Henderson: -0.029
7. Greg Paulus: -0.048
8. Lance Thomas: -0.159
9. Martynas Pocius: -0.168

So what does all this mean?

By both statistical measures, Josh was by far our best player and Marty was by far our worst. This makes sense since Josh was the only player in the NCAA to average at least 10 points, 7.5 rebounds, 2.5 blocks and 3.5 assists per game while Marty’s stat line included only a single block and 3 steals in 139 minutes on the floor.

Paulus was only our seventh best player last season in both statistical measures. Paulus was punished for committing the most turnovers, the most fouls, and for recording low rebound and block totals compared to other players. The average Win Score/min for the point guard position is .128 so even compared to the average point guard, Paulus still fares poorly.

Demarcus and Dave are both relatively high on the lists because they both rebound well, hit the boards hard, and get a lot of steals while still taking care of the ball on offense.

This list doesn’t reflect the relative worth of each player but it does highlight how efficient each player is when he is on the court. These rankings don’t explain everything. Perhaps Josh was rated so highly because he left his man to pick up extra blocks. And one thing this metric definitely does not measure is heart, chemistry, and all the intangibles a guy brings to the table.

The take home message here is that a lot of our players from last year’s team need to become more efficient on the court. Paulus, Zoubek, Henderson, and Pocius in particular, are all going to have to take care of the ball better, hit the boards harder, and be more active on defense for this team to be successful.

97 comments:

Jay said...

Interesting analysis. One thing that needs to happen is Paulus needs to take better care of the ball next year.

Jeff said...

The Win Score is legitimate. That guy who made The Wages of Wins did this stuff for the NBA and the analysis was pretty accurate. Looks like we're really going to miss Josh. I'm tired of everyone saying he wasn't good for team chemistry. What the heck does that even mean? He was a monster on the court and he is going to be a starter in Portland along side Greg Oden sooner rather than later. Josh is unreplaceable .

TrailBlazersBaby said...

I'm a TrailBlazers fan and I would personally like to thank Coach K, and the entire Duke University for royally screwing up the development of Josh McRoberts. If he had come to the NBA straight out of high school he would have been a top 3 pick. But after two years at Duke, you guys devalued his game so much he decided he had to come out before he wouldn't even be drafted at all (*cough SHAVLIK cough*). Now Nate is going to develop him and McRoberts is going to become the stud he always was destind to be. Thanks again Dukies.

Anonymous said...

Josh wasn't a star at Duke because he was over rated. McRoberts finished 3rd in the Mr. Basketball voting in Indiana in high school yet was the top prospect in the country. The guy doesn't have that competitive, clutch, gamer factor that the great players have. He'll be nothing more than a 10 minute reserve type player in the NBA.

Anonymous said...

Josh is the man.

3LeggedCat said...

I like Josh. He seems like a swell guy.

Michael Amir said...

Josh will easily be a tough loss for us, and yet it was obvious that his immaturity showed. He would often yell at teammates when he made the errand pass.

I personally still think Josh should have stayed an extra year to rise his stock. (lets face it draft night does look at popularity/hot stuff and that was a bad news year for Dukies).

Josh will do well bc he has a big to support. He's a number 2 guy, not a number one option.

Pray for Kyle and Gerald to stay and for a great recruiting class (we'll have 3 open spots). It could be a title team a year from now.

Good job Scrapper!

Anonymous said...

Totally agree with you Mike

James said...

Josh came in 3rd in Indiana Mr. Basketball due to the three most common biases of sportswriters:

1. Overvaluing postseason performance. Josh's team played in the same regional as Pike, which has sent many players to D-I, and Lawrence North, which featured Greg Oden and Mike Conley. Josh's team was weaker than theirs, so he never got far in the tournament.

Whereas Josh played a couple of the nation's best high school teams, Luke Zeller, the winner of Mr. Basketball, played in Class 3A (out of 4). He lead his team to the state championship there, and many believe he won Mr. Basketball due to a 70-foot shot he made at the buzzer to keep his team alive in the tournament. It was a fantastic play, to be certain, but over the entire season, Josh was far superior. Note you've never heard of Zeller, who plays at Notre Dame.

2. Favoring scoring over other statistics. The 2nd place finisher in Mr. Basketball was Dominic James, who lead Indiana in scoring. While he is a fine player who killed us in the Marquette game last year, he doesn't fill the stat sheet nearly as much as Josh does.

In high school, Josh averaged 17.9 points, 11.4 rebounds, 4.2 assists, and 3.0 blocks and had a .593 FG%. James's high school stats aren't available, but he's shooting 40% from the field (read: he's inefficient) and averaging 5 assists, 3.8 boards, 1.9 steals, and a quarter of a block at Marquette, which indicates that Josh was superior to him in almost every way in high school.

3. Favoring players with nice personalities. Luke Zeller is an affable guy with small-town charm, and sportswriters enjoy Dominic James as well. Josh's persona is his weakest attribute. How this affects his play on the court is uncertain, but it certainly affects his position with sportswriters, the ones who voted for the award.

Michael Amir said...

nice James! I agree, I think populatiry plays a factor.

What always confused me about Josh was his lack of aggresiveness to get up the floor on offense. He'd rather bring up the ball. but to say he has no speed; I cant agree with people there. He's not the fastest, yet I've seen him beat guards while he's taking the ball full court.

I'm no coach and yes K needs to change a bit, but man I still feel we didnt capitalize on Josh or Shav's talents. [Of course I don't think those kids gave coach enough time too]. I just see both being 3-4s and were pushed to the 4-5 spots. And their reluctance to play such limited their offense.

On defense, Shav was exceptional at the weak side, and Josh proved himself on his own.

I'm whinning granted. I think Josh should have given Zoubek a 2nd year to own the post so he could play 4 again.
And Shav shouldn't have feared losing minutes for Josh (you know that was the reason). I truly believe that extra experience and depth would have helped vs LSU and certainly Texas rematch. Don't know about UCLA.
Come on Team USA! Come on Fall season!

Kyle said...

I couldn't agree with you more Mike. You have to think that maybe we might be doing something wrong considering Shav and Josh both flopped after being such highly touted high school ball players. Coach K loves playing small ball, Team USA lost to Greece last summer because he played small ball and Shav and Josh were both forced to play bigger because Coach doesn't recruit many bigs. I wonder how Shav and Josh would have panned out of they were allowed to play the 3/4. They both were forced to gain a lot of weight that they really didn't need to gain.

Michael Amir said...

You know more than anything its great hearing other's views, bc all i hear in DC is Georgetown or Maryland. Nice breather.

I watched Team USA and Kyle you're right! The bigs were slow and just lost the ball or got fouled for not being quick nor crafty enough(IMO).
Whereas the power forwards (LeB, Melo) strolled right on through.

We can only hope this experience will bend K a bit. thoughts? what will it take folks??

Jay said...

Coach K bends his rules for no one. It's iron clad. What I think sad is that we failed to develop Eric Boateng. Boateng could have been a dominating presence in the post and allowed Josh to be more flexible at the 4. Josh isn't the same player he used to be in high school. He gained about 20/30 pounds. He was Singler/Dunleavy-esque with a ridiculous post game/left hand/passing ability. I just hope we don't do the same thing to Singler.

Anonymous said...

Why isn't Gregg Popovich the coach of Team USA? Pop is a better X's and O's coach than Coach K and he would have been able to get Tim Duncan to play. Coach K is good at communicating and managing a college team, but the best pro coach should have been selected to coach a group comprised of PRO players. Does this NOT make sense?

Michael Amir said...

About team usa and coach k:
Ive watched all the games so far. the 1st Q vs Brazil scared me, but US didnt fold. In fact, they changed the approach and locked down defensively. I was a pretty thing to watch.
They also used a spread bench. PLEASE Coach do this at Duke.
so objectively I'm liking what I see from coach so far :)

Anonymous said...

Agreed. They were running and gunning and playing lockdown Duke defense. Maybe, just maybe, coach will do that next year...

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