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statistical +/- leaders

Discussion in 'NBA Dish' started by durvasa, Jan 31, 2010.

  1. durvasa

    durvasa Contributing Member

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    I used the statistical plus-minus model (described here and here) to calculate boxscore ratings for all NBA players.

    This is not meant to be a definitive list/ranking of the top players. It is an assessment of plus-minus impact based purely on boxscore indicators. Think of it as an alternative system to PER or NBA EFF or PTS+REB+AST. As with any such system, there are misses. You can see the links above for the details.

    As of 1/31, here are the top 50 that have played at least 500 minutes:

    Player              Team   PS    GP   mpg     p40     tsa40    3a40    fta40    a40     or40    dr40    to40    st40    bk40    pf40    vi      SPM
    james,lebron        cle    SF    48   38.6    31.2    25.8     5.3     10.6     8.5     1.0     6.7     3.9     1.6     1.1     1.9     12.7    13.6
    wade,dwyane         mia    SG    47   36.4    30.5    27.6     3.9     10.4     7.0     1.5     3.8     3.6     1.9     1.3     2.5     10.4    9.7
    paul,chris          nor    PG    38   38.8    21.3    17.7     3.1     5.0      11.6    0.5     4.3     2.6     2.4     0.2     2.7     10.6    9.2
    duncan,tim          san    C     42   32.5    24.8    21.7     0.1     7.0      4.1     4.1     9.3     2.4     0.6     2.3     2.6     11.1    7.8
    howard,dwight       orl    C     47   35.1    20.3    16.1     0.1     11.8     1.7     4.2     11.0    4.1     1.3     3.0     4.2     8.1     6.8
    ginobili,manu       san    SG    40   26.7    19.6    18.0     6.4     6.0      6.9     1.5     3.8     2.8     2.1     0.6     2.9     9.0     6.7
    bryant,kobe         lal    SG    47   38.4    29.0    26.5     4.2     7.5      4.9     1.2     4.4     3.0     1.8     0.3     2.6     9.2     6.7
    smith,josh          atl    PF    46   33.7    18.1    16.7     0.1     6.5      4.6     3.1     7.1     2.6     1.8     2.7     3.5     9.5     6.5
    durant,kevin        okl    SF    46   39.9    29.5    24.6     3.9     9.8      3.0     1.2     6.2     3.8     1.4     0.9     2.3     8.7     6.2
    roy,brandon         por    SG    40   38.2    25.6    22.0     4.3     7.5      5.6     1.1     3.9     2.5     1.1     0.1     2.5     9.0     5.8
    love,kevin          min    PF    28   30.2    19.1    17.2     1.8     6.7      3.2     5.8     9.4     2.1     1.1     0.5     3.0     9.8     5.6
    billups,chauncey    den    PG    38   32.7    22.8    18.3     6.1     9.0      7.1     0.4     3.2     2.9     1.5     0.2     2.8     8.3     5.6
    anthony,carmelo     den    SF    38   37.9    30.5    26.8     2.6     10.3     3.4     2.2     4.4     3.2     1.3     0.4     3.4     8.8     5.5
    kidd,jason          dal    PG    46   36.1    10.1    8.9      5.3     0.9      10.3    0.6     5.3     2.6     1.9     0.6     2.0     8.5     5.5
    camby,marcus        lac    C     45   31.1    10.3    10.1     0.2     2.5      3.9     4.1     11.4    1.7     1.7     2.6     2.6     8.5     5.5
    gasol,marc          mem    C     46   35.6    16.9    13.2     0.0     6.3      2.6     3.3     7.5     2.3     1.2     1.8     4.0     7.8     5.2
    wallace,gerald      cha    SF    45   42.1    18.7    15.8     1.9     7.8      1.9     2.0     8.7     2.4     1.6     1.2     2.7     7.2     5.0
    oden,greg           por    C     21   23.9    19.7    15.2     0.0     5.4      1.6     5.4     9.6     3.3     0.7     4.1     7.1     7.8     4.8
    gasol,pau           lal    PF    30   36.4    19.1    16.0     0.1     5.9      3.7     3.8     8.0     2.0     0.5     1.8     2.2     9.4     4.8
    davis,baron         lac    PG    46   34.2    19.0    18.8     4.8     5.6      9.4     0.8     3.2     3.2     2.2     0.7     3.5     8.9     4.7
    rondo,rajon         bos    PG    43   36.9    15.3    14.0     1.0     3.3      10.6    1.3     3.5     3.3     2.7     0.2     3.1     9.2     4.7
    granger,danny       ind    SF    30   36.3    24.0    21.9     8.2     6.9      2.9     0.8     5.2     2.8     1.6     1.0     3.3     7.5     4.6
    nowitzki,dirk       dal    PF    46   38.1    26.7    23.5     1.7     7.9      2.6     0.9     7.4     2.1     1.0     1.2     2.7     8.4     4.6
    bosh,chris          tor    PF    47   35.9    26.6    22.4     0.4     9.8      2.3     3.4     9.2     2.6     0.7     1.1     2.6     9.2     4.6
    hilario,nene        den    C     46   34.3    16.1    12.8     0.0     5.7      2.6     2.2     6.9     1.8     1.8     1.1     4.0     7.2     4.2
    arenas,gilbert      was    PG    32   36.5    24.9    24.3     6.2     7.1      7.9     0.6     4.0     4.0     1.4     0.3     3.3     9.6     4.2
    pierce,paul         bos    SF    39   36.0    21.6    17.1     4.5     7.1      4.0     0.5     4.8     2.8     1.4     0.5     2.9     7.7     4.0
    wallace,ben         det    C     45   30.0    7.7     7.4      0.0     3.0      2.5     5.5     7.5     1.3     1.7     1.5     2.7     6.2     3.9
    frye,channing       pho    C     48   29.8    15.6    13.0     7.0     2.0      1.9     1.2     6.2     1.2     1.0     1.3     4.3     6.0     3.7
    williams,deron      uta    PG    41   37.1    20.5    17.4     3.5     5.8      10.3    0.8     3.4     3.5     1.2     0.2     3.0     9.6     3.7
    wallace,rasheed     bos    C     41   24.0    17.5    17.1     8.3     2.6      1.6     1.2     6.3     1.4     2.1     1.4     4.9     6.0     3.6
    murphy,troy         ind    PF    37   31.1    17.1    14.5     5.6     2.7      2.5     2.1     9.7     1.7     1.1     0.8     3.2     8.0     3.6
    kirilenko,andrei    uta    SF    40   29.0    16.4    14.1     2.1     6.1      3.7     1.6     4.9     1.9     1.6     1.7     2.3     7.3     3.6
    boozer,carlos       uta    PF    45   35.0    22.0    18.8     0.0     5.8      3.8     2.2     10.1    3.2     1.3     0.6     4.1     10.1    3.6
    lowry,kyle          hou    PG    46   25.0    13.9    12.9     3.0     6.0      7.4     2.4     4.1     2.9     1.5     0.3     4.4     8.8     3.5
    iguodala,andre      phi    SG    46   40.1    17.5    16.7     4.1     5.2      5.7     1.0     5.9     2.7     1.9     0.6     1.8     8.9     3.5
    martin,kevin        sac    SG    14   36.2    23.6    21.4     6.3     8.0      3.1     1.0     3.8     2.2     1.4     0.2     2.2     7.0     3.4
    odom,lamar          lal    PF    47   31.3    12.3    12.0     3.1     2.7      4.7     2.8     9.7     2.3     1.2     0.9     3.4     9.0     3.3
    harden,james        okl    SG    46   22.9    17.5    16.4     5.6     5.4      3.8     1.2     4.4     2.3     1.8     0.3     4.4     7.2     3.3
    noah,joakim         chi    C     44   32.9    13.8    12.5     0.0     4.4      2.6     4.7     10.1    2.5     0.8     2.2     4.0     8.2     3.0
    anderson,ryan       orl    PF    39   16.3    21.8    18.9     9.8     4.0      1.6     2.8     5.9     2.3     1.3     0.4     3.0     6.7     2.8
    fernandez,rudy      por    SG    30   22.9    16.5    14.6     7.6     3.8      3.6     1.1     4.1     3.0     2.3     0.2     2.8     6.8     2.7
     
  2. durvasa

    durvasa Contributing Member

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    It takes the following inputs (which are not mutually exclusive), all per 40 pace adjusted minutes excepting mpg:

    mpg: minutes per game
    p40: points scored
    tsa40: true shots attempts
    3a40: 3-point attempts
    fta40: free throw attempts
    a40: assists
    or40: offensive rebounds
    dr40: defensive rebounds
    to40: turnovers
    s40: steals
    bk40: blocks
    pf40: personal fouls
    vi: versatility index (cube root of p40*a40*(or40+dr40))
     
  3. studogg

    studogg Contributing Member

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    looks like the pace adjusting increases the impacts of players playing fewer minutes.
     
  4. durvasa

    durvasa Contributing Member

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    Why do you think that?
     
  5. RudyTBag

    RudyTBag Contributing Member
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    Kyle Lowry big surprise...:)
     
  6. durvasa

    durvasa Contributing Member

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    And this doesn't even take into account that he leads the league in drawing offensive fouls.
     
  7. studogg

    studogg Contributing Member

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    a handful of names stuck out to me at first (ben wallace, rudy fernandez, ryan anderson, kyle lowry, channing frye)

    I think their impact is enhanced. I'm not sure these players could keep pace with the others if their minutes were signficantly increase (save for mabye rudy and kyle)

    although, i will say at looking back at the list, it's overall a good overview of some of the impact players in the league.
     
  8. durvasa

    durvasa Contributing Member

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    One player conspicuously missing from the top 50 list is Steve Nash. Nash is routinely amongst the leaders in APM, so I think he is a player that this model underrates. The reason is he does not get a lot of offensive rebounds, steals, or blocks. His turnovers are fairly high, and a relatively large percentage of his "true" shot are 2-point attempts rather than 3-pointers/free throws. But Nash is somewhat unique because he is so incredibly efficient even on the 2-point attempts, and his teammates depend so much on his playmaking for getting good shots.
     
  9. durvasa

    durvasa Contributing Member

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    Possibly. But think of it as an estimate of how much the player is helping his team while he is on the floor. If his floor time changes, so could the rest of his per-minute numbers and, consequentially, the statistical plus-minus.
     
  10. studogg

    studogg Contributing Member

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    I would say this model also underrates players like Landry who come off the bench and may not have the supporting cast of the starters, thus getting a worse +/- although practical impact may be greater
     
  11. durvasa

    durvasa Contributing Member

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    The model does not factor in +/- at all. Like I said, it is based only on the numbers next to his name in the standard boxscore (min, pts, ast, oreb, dreb, stl, blk, tov, pf, fga, fta, 3pa). It is trying to estimate +/- from that information.

    There are some surprising results for the Rockets players. Lowry leads the team by far. Battier comes in second, strangely enough. The two rookies (Budinger, Andersen) are at the bottom, which isn't a surprise. Everyone else is between -1 and 1.

    The makeup of the Rockets roster is atypical, because they don't have any real "stars". That could possibly distort their ratings (high usage players should perhaps have more value for the Rockets than the statistical plus-minus model gives them).
     
  12. OldSchool34

    OldSchool34 Member

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    Another stat, surprise, surprise. :rolleyes:
     
  13. Shroopy2

    Shroopy2 Contributing Member

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    Petition to ban all stats from sports forums.
     
  14. durvasa

    durvasa Contributing Member

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    I calculated another metric based on SPM: Plus-minus above Replacement Player per Game (PARP/g).

    SPM estimates points a player contributes to his team's point differential is for every 100 possessions played.

    PARP/g considers points above "replacement level" player (set at -5 SPM) provided per game. This will give proportionately more credit to players who play longer minutes as long as they play with an effectiveness above -5.

    Player              Team    PS    GP    mpg     spm     PARP/g
    james,lebron        cle     SF    48    38.6    13.6    13.5
    paul,chris          nor     PG    38    38.8    9.2     10.5
    wade,dwyane         mia     SG    47    36.4    9.7     10.0
    bryant,kobe         lal     SG    47    38.4    6.7     8.7
    durant,kevin        okl     SF    46    39.9    6.2     8.6
    howard,dwight       orl     C     47    35.1    6.8     8.0
    anthony,carmelo     den     SF    38    37.9    5.5     7.9
    wallace,gerald      cha     SF    45    42.1    5.0     7.9
    duncan,tim          san     C     42    32.5    7.8     7.9
    roy,brandon         por     SG    40    38.2    5.8     7.5
    smith,josh          atl     PF    46    33.7    6.5     7.3
    kidd,jason          dal     PG    46    36.1    5.5     7.2
    granger,danny       ind     SF    30    36.3    4.6     7.0
    gasol,marc          mem     C     46    35.6    5.2     7.0
    gasol,pau           lal     PF    30    36.4    4.8     6.9
    nowitzki,dirk       dal     PF    46    38.1    4.6     6.9
    billups,chauncey    den     PG    38    32.7    5.6     6.8
    rondo,rajon         bos     PG    43    36.9    4.7     6.8
    bosh,chris          tor     PF    47    35.9    4.6     6.6
    iguodala,andre      phi     SG    46    40.1    3.5     6.5
    arenas,gilbert      was     PG    32    36.5    4.2     6.4
    love,kevin          min     PF    28    30.2    5.6     6.4
    davis,baron         lac     PG    46    34.2    4.7     6.3
    hilario,nene        den     C     46    34.3    4.2     6.3
    camby,marcus        lac     C     45    31.1    5.5     6.2
    williams,deron      uta     PG    41    37.1    3.7     6.2
    pierce,paul         bos     SF    39    36.0    4.0     6.2
    martin,kevin        sac     SG    14    36.2    3.4     6.0
    ginobili,manu       san     SG    40    26.7    6.7     5.9
    boozer,carlos       uta     PF    45    35.0    3.6     5.8
    murphy,troy         ind     PF    37    31.1    3.6     5.4
    lee,david           nyk     C     46    36.9    2.5     5.4
    johnson,joe         atl     SG    46    37.5    2.6     5.4
    randolph,zach       mem     PF    46    37.5    2.3     5.3
    jackson,stephen     cha     SF    46    39.0    2.1     5.2
    jamison,antawn      was     PF    37    38.9    2.0     5.2
    frye,channing       pho     C     48    29.8    3.7     5.2
    noah,joakim         chi     C     44    32.9    3.0     5.1
    odom,lamar          lal     PF    47    31.3    3.3     5.1
    evans,tyreke        sac     PG    42    37.0    2.0     5.1
    lopez,brook         njn     C     45    36.3    2.3     5.0
    wallace,ben         det     C     45    30.0    3.9     4.9
    kirilenko,andrei    uta     SF    40    29.0    3.6     4.8
    bogut,andrew        mil     C     39    32.9    2.5     4.7
    horford,al          atl     C     46    34.3    2.2     4.7
    lewis,rashard       orl     PF    37    32.9    2.3     4.6
    gay,rudy            mem     SF    44    39.3    1.0     4.6
    williams,mo         cle     PG    43    35.7    1.8     4.6
    maggette,corey      gsw     SF    44    30.7    2.1     4.5
     
  15. peleincubus

    peleincubus Member

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    no matt maloney on there?
     
  16. DaDakota

    DaDakota If you want to know, just ask!

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    I wish there was a better stat than +/-

    It is so dependent upon so many factors.

    DD
     
  17. durvasa

    durvasa Contributing Member

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    "The model does not factor in +/- at all."
     
  18. OldSchool34

    OldSchool34 Member

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    Just the geeky advanced stats. I'm sure durvasa's life would be easier.
     
  19. durvasa

    durvasa Contributing Member

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    Here's an idea for you:

    [​IMG]
     
    1 person likes this.
  20. A_3PO

    A_3PO Member

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    durvasa, I'm one who likes to watch games and stick to the primary stats. But please do me a favor: Keep bringing the other stats. If someone doesn't like it, they should copy what I do to 99% of trade proposal threads: Avoid them.
     

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