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More home court scorekeeping biases
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Mike G



Joined: 14 Jan 2005
Posts: 3593
Location: Hendersonville, NC

PostPosted: Sat Aug 08, 2009 2:18 pm    Post subject: More home court scorekeeping biases Reply with quote

We've discussed home assist bias in several places, how to adjust our stats for them, etc; and somewhere in there Mutombo (re: shotblocking) was mentioned. This makes me wonder if home bias in other counted stats could be systematically messing with boxscore-based player ratings.

The 2008-09 home/away splits for teams are a snapshot. I've just divided home totals by away totals. The ratio 1.10 means a team got 10% more of whatever in home games. Home and away minutes played are within 1.6% for all teams. Ranked by Wins (home/away), just in case there's some correlation with 'playing better'.
Code:
 tm     Wins    Ast     Stl     TO     Blk    PF   Tech
GSW    2.63    1.16     .93    .90    1.21   1.04   1.3
Ind    2.27     .94     .90    .94    1.47    .97   1.1
Uta    2.20    1.08     .97    .89    1.06    .87   1.3
Was    2.17    1.15    1.10    .97    1.13   1.05   1.0
Chi    2.15    1.05    1.11    .90    1.27    .88    .6

Mem    2.00    1.01     .95    .93    1.25    .99    .9
Atl    1.94    1.25     .95   1.02     .84    .92    .6
Cha    1.92    1.00     .97   1.04    1.62   1.00    .8
Okl    1.88     .97     .95   1.04    1.12    .92    .8
Mia    1.87     .90    1.13   1.13    1.05    .91    .6

Sac    1.83     .96     .97    .94    1.08    .98    .4
Mil    1.83    1.22    1.09    .92     .97    .97   2.2
Dal    1.78    1.25    1.12   1.04    1.19    .99   1.4
Por    1.70    1.19    1.24    .96    1.23    .93   1.4
NYK    1.67     .92     .94   1.00     .80   1.05    .7
                           
 NBA   1.65    1.08    1.03    .98    1.15    .96    .9
                           
 tm     Wins    Ast     Stl     TO     Blk    PF   Tech
Hou    1.65    1.09    1.11    .94    1.16    .91    .7
Den    1.57    1.29    1.02    .97    1.55    .96   1.1
Phx    1.56     .96     .93    .91    1.13    .92   1.5
Cle    1.44    1.17    1.19    .96    1.14    .92    .6
Phl    1.41    1.11     .94    .94    1.00    .98    .4

LAC    1.38    1.06    1.01    .96    1.34    .99    .7
NOH    1.33    1.14    1.04   1.06    1.04    .97    .6
Bos    1.30    1.20     .98    .88    1.06    .94    .8
NJN    1.27    1.07     .99   1.03     .99    .98   1.0
LAL    1.24    1.18    1.05   1.09    1.43   1.02    .9

Tor    1.20    1.06    1.02    .92    1.21    .97   1.1
Orl    1.19    1.00    1.10   1.04    1.07    .94    .6
Det    1.17    1.08     .98   1.04    1.24    .99    .7
SAS    1.08    1.06     .93    .97    1.00    .91   2.2
Min     .85    1.00    1.19    .99     .94   1.05    .1
 

Techs are a small sample in many cases, so I knocked off a decimal place.
Blocks are almost twice as 'biased' as Assists, and more than that for everything else.
Stl and TO may or may not be assigned to individuals, so there's some subjectivity.
Fouls are game-influencing stats assigned by refs, not by scorekeepers. Included as another reference.
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Mike G



Joined: 14 Jan 2005
Posts: 3593
Location: Hendersonville, NC

PostPosted: Sat Aug 08, 2009 2:19 pm    Post subject: Reply with quote

So how many supposed blocked shots might Mutombo have gotten as a 'bonus' from home scorekeepers? Assuming half his minutes are played at home, a simplified adjustment factor is put to his annual Blk% (lifted from b-r.com).

Home and away blocks are listed; the H/A is the ratio of Home and Away blocks per minute.
Code:
Deke   tm   Home   Away   H/A  extra   fac   Blk%  Adj%
1992   Den   101   109    .89   -12    .95   4.8   5.1
1993   Den   161   126   1.20    25   1.10   5.7   5.2
1994   Den   206   130   1.58    75   1.29   7.4   5.7
1995   Den   163   158   1.09    15   1.05   7.5   7.2
1996   Den   173   159   1.11    17   1.05   8.8   8.3

1997   Atl   130   134    .96    -6    .98   7.0   7.2
1998   Atl   140   137   1.01     2   1.01   6.6   6.6
1999   Atl    79    68   1.14     9   1.07   6.0   5.6
2000   Atl   137   132   1.01     2   1.01   5.9   5.9
2001  AtPhl  101   102    .98    -2    .99   5.6   5.7

2002   Phl    93    97    .96    -4    .98   5.0   5.1
2003   NJN    19    18   1.17     3   1.08   5.4   5.0
2004   NYK    76    47   1.24    11   1.12   6.2   5.5

2005   Hou    52    49   1.13     7   1.07   6.5   6.1
2006   Hou    27    30   1.17     5   1.09   4.9   4.5
2007   Hou    40    36    .97    -1    .99   4.5   4.6
2008   Hou    35    13   2.79    23   1.89   5.7   3.0

  total     1735  1554   1.11   167   1.05   6.3   6.0

The career totals indicate a home bias of just 1.11 -- somewhat less than last year's league-wide 1.15 . Maybe he intimidated scorekeepers on the road, as well.

The 'adjusted Blk%' follows a much smoother trajectory at all phases of his career: He doesn't lose 26% of his shotblocking upon moving to Atlanta, but merely 16%.

In Denver, he got an estimated 120 'extra' Blk; for his career, 164.
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Mike G



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PostPosted: Sat Aug 08, 2009 2:20 pm    Post subject: Reply with quote

Code:
 tm     Wins    Ast     Stl     TO     Blk    PF   Tech
Atl    1.94    1.25     .95   1.02     .84    .92    .6
Cha    1.92    1.00     .97   1.04    1.62   1.00    .8

 

How about these home/away Blk differentials?
For the Bobcats, Emeka Okafor had 81 blocks at home and just 55 on the road. Per minute, 41% more at home. Adjusted, his Blk% drops from 4.2 to 3.48.

For the Hawks, putting Josh Smith into the Mutombo manipulation machine, his Blk% adjusts up, from 3.5 to 3.83 .
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Mike G



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PostPosted: Sat Aug 08, 2009 6:04 pm    Post subject: Reply with quote

This past season, Chris Andersen had a stupendous Block% of 9.3 . Of players with at least 1400 minutes (since 1974), only 3 players have surpassed this : Manute (4 times), McIlvaine, and Bradley.

Denver was 2nd in the league in the % increase of blocks at home (vs road). Here are the league's top 5 in Blk%, along with their home/away totals; ratio of player home/away Blk/Min (also for team); and a couple of possible 'adjusted Blk%' based on individual and team H/A ratios.
Code:
 shotblockers    Blk%   tm   Home Away   H/A  tmH/A    Fac   TFac   Adj% TAdj%
Chris Andersen   9.3   Den   117   58   1.94   1.55   1.47   1.27   6.3   7.3
Ronny Turiaf     6.9   GS     92   76   1.14   1.21   1.07   1.11   6.5   6.2
Dwight Howard    5.9   Orl   114  117    .97   1.07    .98   1.04   6.0   5.7
Sam Dalembert    5.8   Phl    74   72   1.09   1.00   1.04   1.00   5.6   5.8
Kendrick Perkins 5.3   Bos    78   72   1.10   1.06   1.05   1.03   5.0   5.1

A Blk% of 7.3 is about #44 alltime. Of course, others have had help from home scorekeepers as well (last season 25 of 30 teams had more blocks at home). If 6.3 is his 'real' Blk% -- He didn't hustle more at home, Denver scorekeepers just really loved him -- that drops him to about #80 alltime; and 2nd to Turiaf this year, maybe.
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erivera7



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PostPosted: Sat Aug 08, 2009 6:46 pm    Post subject: Reply with quote

Interesting that Dwight doesn't have much of a home bias, with regards to his block totals.

It's fair to say that Howard's block totals are more of a true representation than Andersen's block totals.
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Mike G



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PostPosted: Sat Aug 08, 2009 8:15 pm    Post subject: Reply with quote

Dwight had a negative home bias, getting just .97 as many Blk/36 as he got on the road. On the chance he's just a slacker in Orlando, I also calculated an Adjusted Blk% based on the team's 1.07 home benefit.

Dwight had more than half of the team's blocks (231/439), so the rest of the team must have enjoyed about 19% more blocks while at home.
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DJE09



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PostPosted: Sun Aug 09, 2009 12:24 am    Post subject: Reply with quote

Mike,
Didn't the last thread about home court bias also have some comment about "star" treatment on the road - ie. the guys from the sonics was happy to give Stockton anything that looked remotely like an assist, but not to Utah generally. This would mean we might expect Dwight to get the bonus blocks on the road as well as at home?

I noticed that for some teams that there was possibly a relationship between Blk / Stl and fouls - eg. MIA has a STL ratio of 1.13 and Blk of 1.05 vs foul of 0.91 so they got more blocks and steals at home whilst called for less fouls. These things seem related in my mind, and Indicate a bias due to referee's call rather than score keepers (ie. ref let player away with a 'steal' at home that they would call a foul on the road).

I am not suggesting this as a reason for all the Block difference, but think that it could account for some of it; since presumably the score keepers can't be responsible for the difference in PF.
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Mike G



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PostPosted: Sun Aug 09, 2009 6:14 am    Post subject: Reply with quote

All very good points. In theory, any turnover could be credited a 'steal', if nobody's looking (or nobody cares); any missed FG might have been a 'block'.

I put in H/A Wins and PF just for the reason you suggest -- as indicators that a team really may play much better and/or get favorable reffing at home. Scorekeeper favoritism (on the road) for select players almost certainly does happen. In the case of DHoward, neither his personal H/A ratio nor the team H/A, taken alone, will make that correction.

Or maybe we could speculate that his .97 (H/A), being .10 short of the team's 1.07 (for Blk) represents that, on top of his getting 7% 'extra' blocks when at home, he's getting 17% extra on the road. This requires an assumption; but one might ferret out these 'road favorites' in just this way.

There's also the possibility that Blk/Stl/TO that should have gone to Player A are systematically being shunted to/away from Player B. Or that a given player is both a home favorite and a road pariah (Chris Andersen?), to account for up to twice as many (blocks per36) at home.
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HoopStudies



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PostPosted: Sun Aug 09, 2009 9:05 am    Post subject: Reply with quote

The danger with this analysis is that teams and individuals do play better at home. So how much of what you're calling "bias" is actually bias vs playing better? It's not right to label it as "bias." They are "differences", with how much being associated with scorekeeping vs playing different not known.
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Mike G



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PostPosted: Sun Aug 09, 2009 11:20 am    Post subject: Reply with quote

We don't know how much is simply 'scorekeeper bias', and that's why I've made multiple suggestions for adjustment. Still, it's possible that there are a wide range of adjustments that would be preferable to none

The opening table was ranked by 'home improvement' -- Home Wins/Away Wins. Condensing that table into 3 equal parts, top to bottom, we get the following averages within the tiers:
Code:
1/3   Wins    Ast    Stl    Blk     TO    PF
top   2.10   1.05   1.00   1.20    .98   .95
mid   1.64   1.12   1.05   1.12    .96   .96
low   1.20   1.09   1.03   1.13   1.00   .98

The most-improved teams at home in fact had the biggest Blk rate increases, on average. But they range from 0.84 to 1.62 within just that bloc. This rather dwarfs the difference between groups.

It's possible that the Hawks just pass more and block less at home, while the Pacers block much more and pass less. 41 games of each is a lot of player-minutes to sustain these differences by chance.

We know bias exists; a former scorekeeper has confessed. We are just looking for it now, in the likeliest places.
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Ryan J. Parker



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PostPosted: Sun Aug 09, 2009 12:16 pm    Post subject: Reply with quote

Just because we know scorekeepers score things differently doesn't mean we can attribute these differences to them. It is important we note the differences and try to further understand what may be the cause of them, or rather what environment they are associated with (such as play differences, etc).

I know you have to have a pretty rigid experiment to make causality statements, although I'm certainly no expert in this area. My sense is that simply adjusting stats because of some inherent difference between scorekeepers has a lot of assumptions tied do it, such as the assumption that scorekeepers are the only reason why the difference exists. I don't think it makes sense that we make this assumption without digging a lot deeper.
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Mike G



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PostPosted: Sun Aug 09, 2009 2:15 pm    Post subject: Reply with quote

Check out the first few years of Mutombo's career. Accompanying what seem to be years of high home bias (for blocks), his Blk% jumps (later dips) enormously. After correcting for this, his Blk% follows a smooth trajectory.

Both he and this year's Chris Andersen example were in Denver. Maybe someone knows: Did either of these players, for a year, become 60-90% more prolific shotblockers just in home games?

It's reasonable to suppose there's an interaction with the refs as well -- In Denver, it's a block; on the road, it's a foul -- some of the time.
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DJE09



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PostPosted: Sun Aug 09, 2009 8:52 pm    Post subject: Reply with quote

Ryan,
We regularly break things down based on Home / Road analysis. You seem comfortable with the idea that the statistics provide evidence that players "play" better at Home.
But, a reasonable alternative hypothesis is that there exists bias in the behaviour of score keepers / referees in favour of the home players. We do not have to suppose that this is intentional, merely that it occurs.

I would be extremely comfortable with the idea that LeBron, Paul Pierce, DHow, etc get special treatment when they are on 5 fouls - if there is another player the foul can get called on, then that will probably occur, or even no foul get called. I have seen too many assists attributed when the receiving player takes 1 or 2 dribbles and lays up a contested shot (ie defender there) to think that all assists are "real".

As a rational man, especially when provided with evidence (anecdotal or otherwise), it is reasonable to explore the extant data for what we can deduce. One might expect scorer bias to occur in those box-score stats that they attribute (assists/blocks), as opposed to the stats that the referees attribute (scoring / fouls). An investigation into the data looking for this is warrented.

I am not sure Mike was asserting that his Home/Away ratios reflected the actual degree of scorer bias, but more as an indication of it's presence. I am also wondering why this sort of adjustment is not acceptable, but Adjusted +/- is. Especially since Adjusted +/- doesn't seem to adjust for fact that a team is at home or on the road. (WHY????)

Lastly, Mike, I wonder if you are wanting to engage Dean on this in a theoretical sense if Denver was the right choice of team to pick on Laughing
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HoopStudies



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PostPosted: Sun Aug 09, 2009 9:41 pm    Post subject: Reply with quote

DJE09 wrote:

Lastly, Mike, I wonder if you are wanting to engage Dean on this in a theoretical sense if Denver was the right choice of team to pick on Laughing


What's particularly interesting is that Denver is, of course, known for an extra strong home court advantage BECAUSE OF THE ALTITUDE. If you want to call that scorekeeper bias, I think some oxygen-deprived players might disagree.

But, back to the data. I don't know how to interpret any of it as bias. Home-road wins vary more than assists, steals, turnovers, blocks, PFs, Techs. How is one supposed to infer that all of Dikembe's blocks are a result of home scorekeeper bias? Wasn't the story about a road scorekeeper (the Grizz) getting influenced by Deke, anyway?

I think that, if you want to say that there is home scorekeeper bias, you have to actually go chart a bunch of games. It might be fair to do so, assuming you watch a cross-section of different home floors. After enough games, you could do some statistical tests to find out if there are breakdowns suggesting bias. Could take a while...
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Ryan J. Parker



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PostPosted: Sun Aug 09, 2009 10:34 pm    Post subject: Reply with quote

DJE09 wrote:
We regularly break things down based on Home / Road analysis. You seem comfortable with the idea that the statistics provide evidence that players "play" better at Home.
But, a reasonable alternative hypothesis is that there exists bias in the behaviour of score keepers / referees in favour of the home players. We do not have to suppose that this is intentional, merely that it occurs.


I think the general point I want to make is that a boxscore only analysis isn't giving a very clear picture as to what is happening.

We can test for stuff like what refs and players do on a per play basis; we can measure things like blk% and ast% per FG attempt given shot location; these are just a few of the things we can look at. It still isn't the best picture of what's happening, but I think it provides a clearer way of looking at the data to figure out what is (or is not) happening.
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