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Stability of stats from one year to the next.

 
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Mike G



Joined: 14 Jan 2005
Posts: 3596
Location: Hendersonville, NC

PostPosted: Tue Jan 25, 2011 10:02 am    Post subject: Stability of stats from one year to the next. Reply with quote

Among players who were ages 24-27 last year and 25-28 this year, from the top 100 minutes played (675+) in 2009-10, there are 85 who also have also played at least 385 min. this season.

From b-r.com, I got their 'advanced' stats -- and also inserted some of my own -- to see which statistics seem to be most and least stable from one year to the next.
http://bkref.com/tiny/zSS8I

'delta' is the average absolute change of 85 players, not weighted by minutes or any other quantity.
%change is delta/2010

m indicates one of my stats; in some cases just per36 with some adjustment for starters' minutes, etc.
Code:
           averages
stat    2010     2011   delta   %chg
   
TS%     .549     .543   .034    .061   
FG%     .472     .463   .032    .067   
eFG%    .508     .499   .034    .068   
FT%     .748     .758   .059    .079
   
USG%   19.88    19.64   2.18    .110   
 PF     3.14     3.11    .35    .113    m
TRB%    9.94     9.66   1.14    .115   
 Reb    6.54     6.29    .79    .121    m
 
 Sco    15.4     14.9   2.01    .130    m
DRB%   14.46    14.38   1.95    .135   
MPG     27.6     27.6   3.89    .141   
PER    15.31    14.80   2.39    .156   
TOV%   12.96    13.41   2.03    .157
   
AST%   14.08    14.35   2.59    .184   
 TO     2.01     2.03    .40    .198    m
e484   1.015     .967    .20    .199    m
ORB%    5.40     4.91   1.13    .209 
STL%    1.53     1.56    .35    .226
   
 Stl    1.07     1.07    .26    .244    m
 Blk     .77      .76    .21    .269    m
BLK%    1.70     1.62    .47    .273   
3P%     .248     .253   .070    .282   
WS/48   .108     .101   .039    .362   

3P% appears as unstable because of some guys going, say, 0-1 one year and 1-1 the next: a 1.000 change.
The age group 24 thru 28 was selected as typically not expected to change (improve or decline) in a given year.
32 of the 85 are with a different team this year.
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DSMok1



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PostPosted: Tue Jan 25, 2011 10:23 am    Post subject: Reply with quote

For each, you need to weight by the attempts/opportunities. For shooting, in particular, this would be important. That way we get a better picture of how much 3Pt% actually changes (the players with only 1 opportunity would have no impact). Actually, come to think of it, it would be best to weight by sqrt(opportunities), right?
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Mike G



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PostPosted: Tue Jan 25, 2011 11:27 am    Post subject: Reply with quote

This survey isn't actually about 3pt%. You may ignore that one, or see it as a novelty outlier, since not everyone even has a 3pt%. Even with it's intrinsic volatility, it's not the least stable of these.

What surprises me is that players in this group seem to be in decline, since last year. Are players now aging more quickly? Earlier studies indicated no population-wide decline before age 28.

The group includes LeBron, Dwight, Amare, Bosh, Melo, Iguodala, CP3, Roy, Nene, GWallace, DLee, DWilliams, Josh Smith, Aldridge, MGasol, Varejao, Landry, Bogut, Millsap, Mo Williams, Felton, Granger, Noah, Deng, Okafor, Nelson, KevMartin, TParker, AJefferson, . ..

Rebounding might be expected to drop off -- OffReb, as it turns out -- but should be made up for by better TS%, Ast%, TO%. Are veterans suddenly being crowded and outcompeted by an unusual number of good, younger players?
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DSMok1



Joined: 05 Aug 2009
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PostPosted: Tue Jan 25, 2011 11:47 am    Post subject: Reply with quote

Mike G wrote:
This survey isn't actually about 3pt%. You may ignore that one, or see it as a novelty outlier, since not everyone even has a 3pt%. Even with it's intrinsic volatility, it's not the least stable of these.

What surprises me is that players in this group seem to be in decline, since last year. Are players now aging more quickly? Earlier studies indicated no population-wide decline before age 28.

The group includes LeBron, Dwight, Amare, Bosh, Melo, Iguodala, CP3, Roy, Nene, GWallace, DLee, DWilliams, Josh Smith, Aldridge, MGasol, Varejao, Landry, Bogut, Millsap, Mo Williams, Felton, Granger, Noah, Deng, Okafor, Nelson, KevMartin, TParker, AJefferson, . ..

Rebounding might be expected to drop off -- OffReb, as it turns out -- but should be made up for by better TS%, Ast%, TO%. Are veterans suddenly being crowded and outcompeted by an unusual number of good, younger players?


On my to-do list is component-specific aging curves, particularly for the ones easily disentangled (like rebounding, steals, etc.). Shooting % may be tricky unless I also control for Usage%.
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kjb



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PostPosted: Tue Jan 25, 2011 11:53 am    Post subject: Reply with quote

TrueLAFan over at RealGM did a study showing (if I recollect correctly) that total minutes played was a better predictor of decline than age. The study got flushed when they redid their message boards, so I can't link to it or refer to it.
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Crow



Joined: 20 Jan 2009
Posts: 816

PostPosted: Tue Jan 25, 2011 11:56 am    Post subject: Reply with quote

Mike G,

Would you be willing to report the averages and change in your scoring rate in complete form except for the counterpart scoring adjustment to see how each piece is changing relative to the other part? I am wondering if your counterpart scoring adjustment generates advantage on average for this age band or not (or the ones above and below) and wonder how far the player's own unadjusted scoring term is falling. That might be one useful addition to your extensive breakout.



DSMok1,

Would you have any interest in applying a somewhat counterpart scoring adjustment to your ASPM? It would be easier to implement than other choices.



Both of you,

I think the main differences between your metrics are the counterpart scoring adjustment and rebounding. Anything else that is big that I am missing?

Would you have any interest in some side by side complete and component comparisons of hypothetical players or a few real players?

I'd be particularly interested in how the metrics differ on the scoring element. While they are different in detail, they also somewhat similar in style. The complex, dynamic construction of the scoring element standouts in comparison to other main linear metrics where each stat is a separate piece. How similar and why different are questions that come to mind that I think might be useful to highlight a bit further.
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bbstats



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PostPosted: Wed Jan 26, 2011 10:44 pm    Post subject: Reply with quote

I think you should standardize the individual scores before finding their standard deviation, since TS% and eFG% aren't really comparable to other stats (TS% and eFG% are likely skewed in comparison due to the fact that they're not actual percentages).
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Mike G



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PostPosted: Thu Jan 27, 2011 6:56 am    Post subject: Reply with quote

Eh, is this what you really mean to say?
Whether a TS% has changed from .549 to .516
... or from 54.9 to 51.6
... it's still a drop of 6.1% (.061*.549) from the first figure to the 2nd.

These are all simple ratios, and without converting to standard deviations, they retain their actual magnitude.

Yes, we fully expect shooting% to fluctuate less (as a fraction of total) than some other stats. They're included mostly as a frame of reference.

Meanwhile, we can see how close the %change is for ORb% and DRb%, for TRb% and Reb, for MPG vs everything else.
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Mike G



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PostPosted: Thu Jan 27, 2011 9:23 am    Post subject: Reply with quote

Up in the opening post, PER changes relatively little from last year to this, compared to WS/48 and eW/484.

But when we subtract 'replacement level' from PER, it takes the lead in volatility.
In this thread --
viewtopic.php?t=2153
-- at least 2 years ago, JohnH had RL at about PER = 10.8 (between 10.5 and 11.5, depending on position).

Here are the averages and %change for these summary metrics:
Code:
 stat   2010     2011    delta   %chg
e484   1.015     .967     .20    .199
WS/48   .108     .101    .039    .362 
PER-11  4.51     4.00    2.39    .530 

PER-minus-11 (-10.8 actually) converts to EWA -- estimated wins added.
I'm a bit surprised that eW/min jumps around by an avg 20% in one year, but of course players do have their ups and downs.

Converting these 3 measures to the same scale -- I'm going per 484 minutes, in which average = 1 -- here are the changes for the 85 players who were age 24-27 last year and 25-28 this year.
Code:
24-28 year old   eWins per 484 min.    Win Shares/484 min     EWA per 484 min
 Players         2010   2011    chg    2010   2011    chg    2010   2011    chg

Shannon Brown     .63   1.15    .53     .97   1.33    .36     .36   1.23    .86
Nick Young        .42    .93    .52     .46    .97    .50    -.02   1.11   1.14
Tyson Chandler    .81   1.17    .36    1.21   2.24   1.03     .39   1.66   1.27
Tony Parker      1.22   1.58    .36    1.02   1.76    .75    1.27   2.27   1.00
Kevin Martin     1.16   1.50    .34    1.24   1.92    .68    1.41   2.70   1.30

Glen Davis        .72   1.02    .30     .85   1.12    .27     .16    .59    .43
Brandon Rush      .35    .64    .29     .47    .72    .24    -.27    .02    .30
Paul Millsap     1.35   1.60    .25    1.52   1.66    .14    1.34   2.16    .82
Chuck Hayes       .69    .93    .24     .99   1.44    .45     .20   1.16    .95
Kris Humphries   1.10   1.34    .24     .75   1.53    .79     .98   1.73    .75

Arron Afflalo     .44    .67    .23     .92   1.26    .34     .00    .73    .73
Andrea Bargnani  1.05   1.27    .23     .73    .58   -.14    1.07   1.39    .32
Monta Ellis      1.06   1.29    .22     .23   1.02    .79    1.34   2.02    .68
Darko Milicic     .73    .95    .22     .50    .20   -.30     .45    .70    .25
Raymond Felton   1.08   1.28    .20    1.19    .98   -.21    1.00   1.48    .48

C.J.  Watson      .54    .71    .17     .83    .52   -.30     .68   -.05   -.73
Thabo Sefolosha   .35    .51    .17     .83    .89    .06    -.23   -.07    .16
Jose Barea        .74    .88    .15     .70    .31   -.38     .45    .11   -.34
Devin Harris     1.09   1.23    .14     .57   1.11    .53    1.23   1.77    .55
Ryan Hollins      .44    .57    .13     .48    .91    .42     .05    .39    .34

Jared Dudley      .57    .69    .13    1.30   1.02   -.28     .64    .80    .16
Rudy Fernandez    .66    .78    .12    1.02   1.20    .18     .52    .82    .30
Ronnie Brewer     .58    .69    .11    1.04   1.43    .39     .39    .59    .20
Aaron Brooks     1.13   1.23    .10     .92    .59   -.32    1.18    .89   -.30
Ronny Turiaf      .61    .71    .10     .79   1.46    .68     .41    .86    .45

Al Thornton       .60    .69    .10     .50    .64    .13     .23    .25    .02
Beno Udrih        .86    .95    .09    1.08   1.41    .33    1.11   1.32    .20
Chris Paul       1.72   1.80    .09    2.06   2.82    .77    2.93   3.34    .41
Leandro Barbosa   .85    .92    .08     .66    .79    .13     .73   1.27    .55
Dorell Wright     .81    .88    .07    1.38    .81   -.57     .84    .91    .07

24-28 year old   eWins per 484 min.    Win Shares/484 min     EWA per 484 min
 Players         2010   2011    chg    2010   2011    chg    2010   2011    chg

LaMarc Aldridge  1.48   1.53    .06    1.46   1.53    .07    1.68   2.30    .61
Sam Young         .60    .65    .06     .44    .69    .24     .50    .16   -.34
Courtney Lee      .56    .60    .04     .64    .47   -.16     .45    .18   -.27
Jameer Nelson    1.24   1.28    .04    1.31   1.56    .25    1.07   1.20    .14
J.R. Smith       1.07   1.10    .03     .63    .97    .34     .98   1.07    .09

Deron Williams   1.74   1.75    .02    1.78   1.91    .12    2.23   2.77    .55
Luther Head       .54    .56    .02     .34    .71    .36     .16    .25    .09
Solomon Jones     .48    .49    .02     .58    .57   -.01    -.20   -.34   -.14
Nene Hilario     1.39   1.39    .00    1.90   2.12    .22    1.84   2.34    .50
Shaun Livingston  .52    .52   -.01     .71    .68   -.03     .45    .30   -.16

Jawad Williams    .22    .20   -.01     .70   -.74  -1.43    -.59  -1.36   -.77
Joakim Noah      1.50   1.49   -.01    1.55   2.09    .53    1.61   1.98    .36
Boris Diaw        .77    .75   -.02    1.04    .81   -.23     .45    .61    .16
Ben Gordon        .77    .75   -.02     .59    .45   -.14     .73    .48   -.25
Emeka Okafor     1.24   1.20   -.04    1.12   1.62    .50    1.30   1.25   -.05

Charl Villanueva 1.22   1.15   -.07     .93    .98    .05    1.18   1.16   -.02
Al Jefferson     1.54   1.46   -.07     .91   1.15    .24    1.86   1.68   -.18
Jarrett Jack      .89    .81   -.08    1.03    .35   -.68    1.25    .32   -.93
Luol Deng        1.13   1.04   -.08    1.07   1.31    .24    1.20    .89   -.32
Anthony Tolliver  .79    .70   -.09     .85   1.08    .23     .64    .66    .02

Zaza Pachulia     .80    .71   -.09    1.22   1.04   -.18     .52    .02   -.50
Hakim Warrick    1.02    .93   -.09    1.25   1.30    .05    1.09   1.43    .34
Joel Anthony      .26    .15   -.11    1.12   1.19    .07    -.14   -.70   -.57
Amare Stoudemire 1.92   1.81   -.11    1.83   1.37   -.45    2.68   2.86    .18
Will Bynum        .68    .57   -.11     .54    .39   -.15     .68    .34   -.34

Anderson Varejao 1.07    .95   -.12    1.80   1.02   -.79    1.14   1.00   -.14
Nenad Krstic      .93    .80   -.13    1.17    .90   -.27     .66    .55   -.11
Andre Iguodala   1.24   1.11   -.13    1.02   1.32    .30    1.59   1.43   -.16
Marcin Gortat     .92    .78   -.14    1.52   1.39   -.13     .70    .93    .23
Carl Landry       .98    .84   -.14    1.51    .87   -.65    1.86    .98   -.89

24-28 year old   eWins per 484 min.    Win Shares/484 min     EWA per 484 min
 Players         2010   2011    chg    2010   2011    chg    2010   2011    chg

T.J. Ford         .79    .65   -.14     .58    .18   -.40     .59   -.16   -.75
Anthony Morrow    .66    .52   -.14     .85    .78   -.07     .73    .07   -.66
Trevor Ariza      .90    .76   -.15     .58    .74    .15     .57    .00   -.57
Ronnie Price      .49    .34   -.15     .56    .03   -.53    -.11   -.73   -.61
Chris Duhon       .26    .10   -.15     .45    .18   -.27    -.02  -1.07  -1.05

Josh Smith       1.75   1.59   -.16    1.56   1.23   -.33    2.32   1.82   -.50
Ryan Gomes        .55    .37   -.17     .52    .55    .03     .30   -.41   -.70
Mickael Pietrus   .66    .47   -.19    1.04    .59   -.44     .25   -.50   -.75
J.J. Redick       .90    .71   -.20    1.74   1.51   -.23     .95    .59   -.36
Carmelo Anthony  1.92   1.73   -.20    1.46   1.11   -.35    2.59   2.27   -.32

Mo Williams      1.20   1.00   -.20    1.37   -.07  -1.44    1.20    .73   -.48
Nate Robinson    1.11    .83   -.27     .96    .65   -.31    1.25    .02  -1.23
Travis Outlaw     .79    .51   -.28     .63    .23   -.39     .57   -.50  -1.07
Channing Frye    1.07    .77   -.30    1.42    .67   -.76     .95    .23   -.73
Danny Granger    1.65   1.30   -.35    1.32   1.09   -.23    2.05   1.48   -.57

Dwight Howard    2.42   2.05   -.37    2.25   2.15   -.10    3.00   3.20    .20
Marc Gasol       1.42   1.03   -.39    1.65   1.39   -.26    1.93   1.23   -.70
Gerald Wallace   1.55   1.05   -.50    1.78    .81   -.98    1.70    .68  -1.02
Andrew Bogut     1.98   1.46   -.52    1.62   1.15   -.47    2.25   1.52   -.73
Stephen Graham    .66    .10   -.55     .95    .00   -.95     .09  -1.32  -1.41

Jason Maxiell     .86    .30   -.56     .82    .18   -.64     .73   -.59  -1.32
Chris Bosh       2.18   1.55   -.63    1.84   1.85    .01    3.23   2.09  -1.14
Brandon Roy      1.73   1.02   -.71    1.82    .92   -.90    2.39    .93  -1.45
David Lee        1.89   1.10   -.79    1.64    .88   -.77    2.59   1.34  -1.25
LeBron James     3.07   2.21   -.86    3.01   2.30   -.72    4.61   3.48  -1.14

 24-28 yo avgs   1.02    .97   -.05    1.08   1.02   -.06    1.03    .91   -.12
EWA, based on PER, is estimated from the thread linked above.
Just thought I'd share this before the data get old.

PS - avg absolute value change, 2010 to 2011 :
e/484 .20
ws/48 .39
ewa .54
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PostPosted: Thu Jan 27, 2011 10:34 am    Post subject: Reply with quote

Ah, ignore my prior post.
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