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2007 player rankings
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Mark



Joined: 20 Aug 2005
Posts: 807

PostPosted: Sun Mar 25, 2007 10:14 am    Post subject: Reply with quote

The Defensive PER approach you outline has the advantage of being unified and already weighted- if you are otherwise comfortable staying with PER based weights or are willing to tweak everything to your own. It still uses the performance of the lineup counterpart as a proxy for who the original player was defending and could face that skepticism. Still, that could be the way to go.

Though all the different defensive rating formats have value, I would be interested in sticking with your originally stated box-score basis and avoid using on/off. The team defense incorporated for 30% or 50% or whatever of the score seems worthwhile.

I was thinking of using grade average approximations for shot defense along with the known defensive tangibles steals, blocks, rebounds, fouls but I guess you have deal with assists too. But tying assists to a shot defense approximation might not be that big a deal or modification to my initial suggestion.

Grades for shot defense could, alternatively, just be a separate simplified list. Using it as a part of the PER based approach comes down to whether it would make acceptance and use any easier and that will take more feedback. Rounding the corners of that part might bother some but if this is just a player ranking, rounding that part where the data is vague might help with the step up from mostly offense PER to something more complete though imperfect..
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THWilson



Joined: 19 Jul 2005
Posts: 128
Location: phoenix

PostPosted: Mon Mar 26, 2007 2:58 pm    Post subject: Reply with quote

davis21wylie2121 wrote:
Okay, Current NBA Stats are now up, and as a new feature I computed Justin's Win Shares for every player as well. Apparently there were issues with the text formatting at ArmchairGM, so I'll be doing them at Google docs from now on. Enjoy!

(P.S. There are leaderboards for Win Shares (off. and def.), WARP, and PER at the bottom of the spreadsheet.)


These look great, thanks for the work.

Quick request: it would be great if you formatted consistantly. For example FT% is currently a number between zero and one, whereas TS% is a number between zero and one-hundred.
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davis21wylie2121



Joined: 13 Oct 2005
Posts: 374
Location: Atlanta, GA

PostPosted: Mon Mar 26, 2007 3:54 pm    Post subject: Reply with quote

THWilson wrote:
Quick request: it would be great if you formatted consistantly. For example FT% is currently a number between zero and one, whereas TS% is a number between zero and one-hundred.


Yeah, no problem, I just formatted TS% like that because that's the way Hollinger did it in PBF. I'm more comfortable with it in decimals anyway. Also, I have no clue why I have PSA in there, since TS% and PSA are the same stat...
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Mike G



Joined: 14 Jan 2005
Posts: 1521
Location: Delphi, Indiana

PostPosted: Thu Apr 05, 2007 10:23 am    Post subject: Reply with quote

This is tightening up some:
Code:
eWins   per36 rates     tm   G   Min   Eff%    Sco   Reb   Ast   Stl   TO   Blk   proT
12.9   Nowitzki,Dirk   Dal   72   36   .594   29.3  10.7   4.4    .7   2.1   .8   44.8
12.7   Duncan,Tim       SA   74   34   .561   25.7  12.7   4.9    .9   3.1  2.5   45.4
12.7   James,Lebron    Cle   71   41   .542   27.2   6.9   5.7   1.5   3.0   .7   40.8
11.9   Garnett,Kevin   Min   73   40   .540   21.9  12.7   3.0   1.1   2.5  1.6   38.9
11.2   Bryant,Kobe     LAL   69   41   .570   29.0   5.4   4.3   1.3   3.1   .4   38.1
                                   
10.5   Mcgrady,Tracy   Hou   65   36   .504   27.3   5.8   7.8   1.2   3.0   .5   41.7
10.3   Arenas,Gilbert  Was   73   40   .552   25.3   4.4   4.7   1.7   3.0   .2   34.5
10.0   Boozer,Carlos   Uta   65   35   .579   24.3  14.9   3.1   1.0   2.7   .3   40.9
9.8   Howard,Dwight    Orl   74   37   .599   20.4  14.5   1.7    .8   3.9  2.0   35.3
9.7   Nash,Steve       Pho   68   35   .651   22.3   3.6  12.9    .8   4.1   .1   38.3
                                   
9.7   Brand,Elton      LAC   71   38   .570   21.2   9.9   2.3    .9   2.4  2.2   35.0
9.5   Carter,Vince      NJ   73   38   .543   24.9   6.1   3.8   1.0   2.6   .3   33.9
9.4   Parker,Tony       SA   71   33   .561   24.9   4.1   8.6   1.2   2.8   .1   38.4
9.1   Randolph,Zach    Por   68   36   .527   25.2  12.4   1.8    .8   3.3   .2   36.3
9.1   Stoudemire,Amare Pho   74   33   .631   25.2  11.0   1.2    .9   3.1  1.5   36.1
                                   
8.8   Marion,Shawn     Pho   72   38   .585   16.8   9.8   1.8   1.9   1.4  1.5   32.5
8.5   Wade,Dwyane      Mia   46   39   .574   30.7   4.9   6.5   2.0   4.0  1.2   43.6
8.5   Bosh,Chris       Tor   62   38   .562   23.0  10.6   2.2    .5   2.5  1.3   35.2
8.4   Ginobili,Manu     SA   69   28   .596   26.7   6.4   6.2   2.0   2.7   .5   41.2
8.4   Deng,Luol        Chi   75   38   .552   19.7   7.4   2.5   1.1   1.8   .6   30.5
                                   
eWins   per36 rates     tm   G   Min   Eff%    Sco   Reb   Ast   Stl   TO   Blk   proT
8.2   Kidd,Jason        NJ   71   37   .513   13.5   8.5   7.8   1.7   2.7   .3   31.8
8.2   Terry,Jason      Dal   74   36   .587   20.2   3.5   7.0   1.0   2.0   .2   31.8
8.1   Billups,Chauncey Det   64   37   .572   20.2   3.8   8.1   1.2   2.1   .3   34.0
7.9   Williams,Deron   Uta   71   38   .533   17.1   4.0   9.4   1.0   3.0   .2   30.6
7.7   O'Neal,Jermaine  Ind   63   36   .499   20.2  10.8   2.0    .8   3.0  2.8   34.1
                                   
7.6   Howard,Josh      Dal   64   36   .543   21.4   8.5   2.3   1.2   1.8   .9   33.2
7.6   Gordon,Ben       Chi   75   33   .560   26.1   3.7   4.2    .8   3.4   .2   31.5
7.5   Anthony,Carmelo  Den   57   38   .538   27.2   6.1   3.2   1.2   3.6   .3   34.1
7.4   Okur,Mehmet      Uta   71   34   .557   20.3   9.8   2.2    .5   1.7   .5   31.4
7.3   Iguodala,Andre   Phi   72   40   .546   17.4   5.6   4.0   1.8   3.1   .4   27.3
                                   
7.5   Hinrich,Kirk     Chi   73   36   .549   18.6   3.8   6.7   1.4   2.5   .3   29.9
7.4   Hamilton,Richard Det   68   38   .542   22.2   4.0   4.3    .8   2.1   .2   30.1
7.1   Camby,Marcus     Den   63   34   .514   11.5  13.3   3.2   1.4   2.0  3.4   33.4
7.0   Martin,Kevin     Sac   72   36   .602   22.3   4.6   1.9   1.3   1.8   .1   29.1
7.0   Iverson,Allen    Den   57   43   .528   22.0   2.7   5.5   1.7   3.6   .2   30.0
                                   
7.1   Smith,Josh       Atl   66   36   .497   15.9   9.4   2.5   1.4   3.2  3.0   30.4
7.0   Ming,Yao         Hou   42   34   .576   32.7  11.4   2.7    .4   4.1  2.2   44.9
6.9   Jefferson,Al     Bos   66   33   .535   17.2  13.2   1.1    .7   2.2  1.7   31.7
6.8   Wallace,Gerald   Cha   67   36   .546   18.0   7.6   1.9   1.9   2.3  1.0   29.3
6.7   Allen,Ray        Sea   55   40   .556   24.1   4.4   3.0   1.4   2.6   .2   31.1

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Mike G



Joined: 14 Jan 2005
Posts: 1521
Location: Delphi, Indiana

PostPosted: Wed May 02, 2007 6:23 pm    Post subject: Reply with quote

Some of the leaders coasted to a finish. Dirk didn't finish on top in eWins or in total productivity rate. To squeeze in the necessaries, I'm combining steals/turnovers/blocks/fouls into one category. Here are the (45) players who got at least half of LeBron's eW total.
Code:
 eW      per36 rates    tm   G   Min    Eff%   Sco   Reb   Ast   STBF    T
14.1   Lebron James    Cle   78   41   .541   27.3   7.0   5.8    -.7   40.8
13.7   Dirk Nowitzki   Dal   78   36   .593   29.2  10.5   4.3   -1.0   44.0
13.6   Tim Duncan       SA   80   34   .565   25.7  12.8   4.9     .5   44.9
12.7   Kobe Bryant     LAL   77   41   .567   29.1   5.4   4.2   -1.5   38.1
12.0   Kevin Garnett   Min   76   39   .536   21.3  12.7   2.9     .3   37.7

11.6   Tracy Mcgrady   Hou   71   36   .507   27.5   6.0   7.7   -1.4   41.9
11.4   Carlos Boozer   Uta   74   35   .578   24.1  15.3   3.2   -1.9   40.9
11.3   Vince Carter     NJ   82   38   .549   25.6   6.2   4.1   -1.6   35.0
11.1   Elton Brand     LAC   80   38   .570   21.3  10.1   2.5     .9   35.0
11.0   Dwight Howard   Orl   82   37   .598   20.6  14.7   1.8   -1.8   35.1

10.9   Steve Nash      Pho   76   35   .645   21.9   3.7  13.1   -4.5   38.2
10.6   Gilbert Arenas  Was   74   40   .552   25.7   4.4   4.7    -.8   34.8
10.1   Tony Parker      SA   77   33   .562   25.1   4.1   8.3   -1.8   37.9
9.9   Amare Stoudemire Pho   82   33   .620   24.7  10.8   1.2    -.8   35.4
9.7   Shawn Marion     Pho   80   38   .586   17.2   9.7   1.8    3.7   32.2

9.4   Chris Bosh       Tor   69   38   .562   22.7  10.7   2.2   -1.2   34.6
9.4   Luol Deng        Chi   82   37   .551   20.0   7.6   2.7     .3   31.0
9.4   Jason Kidd        NJ   80   37   .509   13.2   8.9   8.2    -.6   31.9
9.0   Zach Randolph    Por   68   36   .527   25.2  12.2   1.7   -3.2   35.8
8.9   Dwyane Wade      Mia   51   38   .568   30.1   4.9   6.4    -.7   42.2

8.9   Jason Terry      Dal   81   35   .581   20.0   3.5   6.9    -.7   31.5
8.9   Manu Ginobili     SA   75   28   .596   26.0   6.3   6.0     .2   39.9
8.8   Carmelo Anthony  Den   65   38   .541   27.4   6.1   3.3   -2.7   34.6
8.8   Chauncey Billups Det   70   36   .576   20.3   3.7   8.1    -.4   33.9
8.6   Kirk Hinrich     Chi   80   36   .552   19.1   3.9   7.2    -.8   30.9

8.6   Ben Gordon       Chi   82   33   .563   26.3   3.7   4.4   -3.2   31.9
8.4   Deron Williams   Uta   80   37   .527   16.6   4.1   9.2   -2.6   29.6
8.2   Josh Howard      Dal   70   35   .541   21.4   8.2   2.4     .7   32.9
8.1   Mehmet Okur      Uta   80   33   .560   20.1   9.9   2.1   -1.0   30.9
8.1   Jermaine O'Neal  Ind   69   36   .491   19.6  10.7   2.1     .3   32.5

8.0   Allen Iverson    Den   65   43   .528   22.3   2.7   5.4   -2.0   30.0
7.9   Yao Ming         Hou   48   34   .586   32.6  11.3   2.5   -2.4   44.0
7.9   Richard Hamilton Det   75   37   .541   22.1   4.1   4.2   -1.5   29.6
7.9   Marcus Camby     Den   70   34   .510   11.4  13.5   3.1    4.5   32.8
7.8   Andre Iguodala   Phi   76   40   .547   17.6   5.6   4.1    -.6   27.4

7.8   Gerald Wallace   Cha   72   37   .555   18.7   7.7   2.0    1.9   30.2
7.7   Josh Smith       Atl   72   37   .496   16.1   9.6   2.5    1.7   29.9
7.6   Kevin Martin     Sac   80   35   .598   21.8   4.6   1.9     .1   28.4
7.5   Chris Paul        NO   64   37   .526   17.9   4.9   7.4    -.1   31.9
7.4   Pau Gasol        Mem   59   36   .579   21.1  10.7   2.5    -.5   34.0

7.3   Al Jefferson     Bos   69   34   .538   17.5  13.3   1.1     .4   31.8
7.2   Ron Artest       Sac   70   38   .527   17.5   6.5   2.7    1.9   28.7
7.2   Baron Davis       GS   63   35   .520   19.5   4.4   6.8     .2   32.4
7.1   Emeka Okafor     Cha   67   35   .543   15.1  12.8   1.0    2.7   31.0
7.0   Antawn Jamison   Was   70   38   .537   17.7   8.2   1.6     .7   28.0

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deepak_e



Joined: 26 Apr 2006
Posts: 332

PostPosted: Wed May 02, 2007 10:32 pm    Post subject: Reply with quote

Mike, how does Tracy McGrady have a higher T score than Kobe Bryant? Is that mainly due to Houston's superior defense?
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Mike G



Joined: 14 Jan 2005
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PostPosted: Thu May 03, 2007 6:02 am    Post subject: Reply with quote

Kobe and TMac had almost identical rates of steals, blocks, and TO; Kobe's a bit better scorer, while McGrady rebounds a tad more. The diff is that TMac had 86% more assists, standardized.

While Kobe outscored McGrady, per game, 31.6-24.6 (a 28% advantage), he did so in 14% greater MPG. Then, as you suspect, Kobe played in games in which players scored 11% more PPG (101.6/91.2). This makes McGrady's points worth 11% more than Kobe's, doesn't it?

McGrady shot only .507 eff% (to Kobe's .567). This advantage to Kobe boosts his 'effective scoring' by (.567/.507)^.5 = 1.058, relative to TMac. This happens to account almost exactly for the difference in their Sco rates.
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Nikos



Joined: 16 Jan 2005
Posts: 339

PostPosted: Thu May 03, 2007 6:21 am    Post subject: Reply with quote

Just out of curiosity why do you use exponent .5 in your effective scoring?

Is this a better scaler? Maybe I should have used this in my equation? What is your logic for using it?
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supersub15



Joined: 21 Sep 2006
Posts: 90

PostPosted: Thu May 03, 2007 6:55 am    Post subject: Reply with quote

Mike, are you going to do ratings for the playoffs?
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Mike G



Joined: 14 Jan 2005
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PostPosted: Thu May 03, 2007 7:40 am    Post subject: Reply with quote

Playoff rankings are coming.

Nikos, the exponent varies a bit from year to year and in playoffs. But 1/2 is pretty normal. It's the number I use when I adjust past seasons; my traditional exponent is 1.

This is one of many variables that I slide around to achieve best fit between player rates -- which translate to eWins -- and team pyth-expected-wins. In big samples like whole seasons, it's always close to .50. In small samples like playoff series (4-7 games between possibly crazily-matched opponents) it can vary quite a bit. In last year's Finals, it approached zero.

No-correlation between individual TS% and winning doesn't mean it isn't better to hit your shots. It just means that in certain environments, the ability to get a shot (and make a fair share) is more vital than not-missing shots. Winning teams have players who can score.
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Nikos



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Posts: 339

PostPosted: Thu May 03, 2007 7:48 am    Post subject: Reply with quote

E-wins are very interesting. But are they impossible for you to apply to your historical database prior to 2005? Aren't you missing some stat components that keep you from making a comprehensive historical database where each player has E-wins?

BTW out of curiosity, I have Bernard Kings 1985 season as one of the most productive scoring season in NBA history. The top one I got was Jordan in 1987, but many of MJ's other scoring seasons in his prime are below Bernards of 1985, and even Dantleys in 1984. But most of your MJ scoring rates seem clearly higher than both. How did you derive that?
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Mike G



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PostPosted: Thu May 03, 2007 8:49 am    Post subject: Reply with quote

I have 15 player-seasons looking better in Sco than Bernard's '85 (including Dantley '86), and another 3 before AD '84.

In '84, Dantley's TS% (.652) and Pts/40 (32.4) were both near their zenith. But he did this in games of 115-114.

BKing in '85 played in 105-110 games. Actually, I'm not sure of this, since he missed 27 G. Maybe his games were even higher scoring, at least for the opposition.

Jordan's got the 4 best scoring seasons, in my list, and 8 better than any by AD or BK. As late as '96, he had a better year than anyone before or since. Since those Bulls gave up a mere 93 PPG, I see that as the league scoring average in games in which MJ participated.

30 points for the '96 Bulls is worth 114/93= 1.23 times as much as 30 points with the '84 Jazz. If we play a game to 114, we will all score more than if we play to 93.
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