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2010-11 NBA Win Predictions
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gabefarkas



Joined: 31 Dec 2004
Posts: 1313
Location: Durham, NC

PostPosted: Tue Oct 12, 2010 8:06 pm    Post subject: Reply with quote

mtamada wrote:
Sorry, late reply here. My expansion starts with an example: one of the major ways of utilizing regression to the mean is with Stein estimators. The classic example is if it's two weeks into the baseball season and you see a player who's currently batting .412, and you want to predict what his batting average for the rest of the season will be, you do not (if you're smart) use the unbiased estimate of .412. You want to purposely use a biased estimate, and regress to the mean, because extreme performances are unlikely to be sustained.

The key word is extreme. Stein estimators are remarkable because "extreme" and "mean" can be used in a variety of situations; the baseball example is intuitively obvious, not so obvious is that the mean that you regress to doesn't even have to be the mean of baseball players' batting averages (although obviously, the more similar the variables are to each other, the better the Stein estimator will perform, e.g. if you have data on that same player from other seasons, that can be better than using the mean of all other baseball players).
Are you referring to the James-Stein estimator, or Stein's unbiased risk estimate?
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mtamada



Joined: 28 Jan 2005
Posts: 377

PostPosted: Thu Oct 14, 2010 3:24 am    Post subject: Reply with quote

schtevie wrote:
[...]

But invoking "regression to the mean" arguments won't help much in justifying low-ball estimates for the Heat


The lowest of the lowball, yeah sure there are always people who make goofy forecasts, they have their own obscure reasons. Regression to the mean is a moderate correction to apply, it doesn't create weird forecasts -- but it applies to everybody (everybody who's extreme that is; people near the mean can be expected to have minimal regression).


schtevie wrote:
primarily because what appears to be an extreme estimate, isn't really.


Well that is indeed part of the art of forecasting: recognizing what is extreme and what is not. .412 is extremely high for a batter but quite low for an NBA field goal shooter. LBJ is if not the top player in the league, one of the top players. Therefore his forecasts ought to be extreme, yes?

Yes. But they still should be regressed. Every extreme forecast should be. (Though I'd guess that it's easier to wait until the very end and regress Miami's forecasts overall, rather than for each individual player.)

schtevie wrote:

If one is looking for such a reason, it can be found by invoking the assumed concavity of the basketball production function.


In other words, diminishing marginal returns, or in basketball terms, "there's only one ball on the court", i.e. too many superstars start reducing each other's production. The harder question is do they reduce each other's efficiency. I do not know what the models or evidence show. But your original point about the unrelatedness of regression to the mean still applies here: regardless of whether we assume concavity or linearity, the bottom line still holds: if your forecast is an extreme one, and you haven't applied any regression to the mean yet, do so now. The fact that they Heat are loaded with superstars means that they should be forecast for a lot of wins. But beware of a doctrine of exceptionalism, which claims that they are immune from the laws of statistics.

The 2008 Celtics rolled to 66 wins and a championship. But what happened in 2009 and 2010? The 1969 Lakes had a Big 3 that makes the Heat's look puny -- and won 55 games. The 1977 Sixers had perhaps the two best forwards in the league plus 4 former or future All-Stars, and won 50 games. The 1977 Knicks had 4 All-Pros, and won 42 games. The 2004 Lakers had 4 future Hall of Famers, and won 56.


Last edited by mtamada on Thu Oct 14, 2010 3:30 am; edited 1 time in total
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mtamada



Joined: 28 Jan 2005
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PostPosted: Thu Oct 14, 2010 3:26 am    Post subject: Reply with quote

gabefarkas wrote:
Are you referring to the James-Stein estimator, or Stein's unbiased risk estimate?


The former, I was not familiar with the latter, although apparently it can be used to derive the former.
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back2newbelf



Joined: 21 Jun 2005
Posts: 279

PostPosted: Thu Oct 14, 2010 4:53 am    Post subject: Reply with quote

http://www.sportsbook.com/livesports/indexmember.php?sportsname=basketball
vegas now with predictions for all the teams.
The Suns and Nuggets are predicted to win substantially less. Miami at 64.5 right now. T-Wolves lowest at 23.5
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schtevie



Joined: 18 Apr 2005
Posts: 414

PostPosted: Thu Oct 14, 2010 11:59 am    Post subject: Reply with quote

Dang. I should have gotten in on the action at 63.5...

Mike, I think that there is value in being more precise when employing the term "regression to the mean" (RTTM). There are two distinct types of phenomena generating the results we see with NBA, league-wide win estimates across seasons, but it is only the first phenomenon that should be meaningfully associated with the term.

The first is statistical, the second for the lack of a better term, is fundamental or model-based (and with this, the zero-sum constraint on the estimation exercise is an important factor).

What I am referring to as "statistical" is the RTTM you observe when, on average, the kids of tall parents don't grow up to be quite as tall. The counterpart in the NBA is when a team because of truly transient good fortune generates wins in excess of what its "genes" would predict, and the following year (all else equal, which it never is) tends to regress to its expected ability.

What I am calling fundamental or model-based phenomena are the effects of all factors that would fit in the "true" NBA production function (that what G*d would reveal, were she so inclined).

One thorny unknown of particular importance in this regard is the precise effect of aging and injuries. But the general story is known and agreed upon. Younger players improve as their skills and knowledge of the game improve. Past their peak, athleticism deteriorates and the propensity for injury increases.

And how does this class of variables (and their variability) influence apparent RTTM? Well, in the ways we are used to expecting, but this result has nothing to do with the "laws of statistics". Apparent RTTM obtains because of the additional fact that better teams tend to have more minutes played by players at their peak, hence more prone to aging and injury effects, and also because the NBA is a zero-sum league (i.e. the games "unexpectedly" lost due to injury and aging, disproportionately suffered by the better teams, pad the win totals of the below-average younger, healthier teams)

As a thought experiment, imagine we lived in an alternate universe where human physiology was different, such that the young rather than the old tended to be injury-prone, and the league had a really hard salary cap instead of a soft one. Much of the apparent RTTM would vanish.

In light of these arguments, we can (kind of) interpret the recent Celtics' history that was mentioned. The last three years saw win totals of 66, 62, and 50 games.

The first issue is: to what win total should the Celtics have rolled in the first year of the Big 3? (The same question as for the Heat this year.) And the answer is, of course, that I don't really know the precise answer. Nobody does, but 66 is probably pretty close to what the "one true model" (approximated best by APM) would have predicted. KG was out for a stretch and played relatively poorly, just prior and after, but, then again, maybe Paul Pierce was playing "above his age" during the season. Etc.

But that emphasizes the main point: the expected value of this production function for the year in question is what matters for a prediction, and no adjustment for RTTM should be made ex post. (If one ends up requiring ad hoc adjustments, it necessarily implies that the model being used to generate predictions is incomplete and giving systematically biased results.)

What then of the following two years? All that can be said is that the trajectory is entirely consistent with fundamentals, but beyond that I have no firm idea as to how they should have been expected to perform. The 62 games seems about right, and last year, my sense is that they endured quite a few "excess" injuries. But I don't have any great confidence about that statement. And what to expect this year? I wish I had a clue. My guess is that they will "regress" to something above 50 wins. And that is the point.
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Crow



Joined: 20 Jan 2009
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PostPosted: Thu Oct 14, 2010 6:37 pm    Post subject: Reply with quote

The Heat line might move again depending on whether Wade & James are considered ready & 100% closer to or on opening day or are still that way 2-4-8 weeks in, if they adjust the line and still take bets. At least in the abstract it should.
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Rhuidean



Joined: 11 Mar 2010
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PostPosted: Thu Oct 14, 2010 7:17 pm    Post subject: . Reply with quote

Schtevie: You've build a model that tells you X. You also have prior knowledge Y about the situation. Unless you have the utmost confidence in your model X and its results, then it makes sense to consider Y also.

From what I've seen (certain ad-hoc down-weightings of APM/SPM values that people used for LBJ, Wade, and Bosh, weighted APM/SPM values that lead to something close to 100% wins), it doesn't seem as if we should have utmost confidence in most of the models just yet. So incorporating prior knowledge makes some sense.
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back2newbelf



Joined: 21 Jun 2005
Posts: 279

PostPosted: Sat Oct 23, 2010 8:22 am    Post subject: Reply with quote

Can anyone explain me what this vegas line means?
Atlanta Hawks Over 46.5 (-115) Under 46.5 (-105)
specifically the "-115" and "-105".
Obviously they didn't like their initial projection anymore and changed it a bit, but in what direction?

Also, I want to take back my earlier comments about the Knicks. They added more players than I remembered and Stoudemire looks good (at least in pre season)
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haralabob



Joined: 11 Apr 2007
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PostPosted: Sat Oct 23, 2010 12:35 pm    Post subject: Reply with quote

back2newbelf wrote:
Can anyone explain me what this vegas line means?
Atlanta Hawks Over 46.5 (-115) Under 46.5 (-105)
specifically the "-115" and "-105".
Obviously they didn't like their initial projection anymore and changed it a bit, but in what direction?

Also, I want to take back my earlier comments about the Knicks. They added more players than I remembered and Stoudemire looks good (at least in pre season)


Assume these lines started out as;

Over 46.5 -110
Under 46.5 -110

You'd have to bet $110 to win 100 in profit on either the over or the under.

You know have to bet $115 to win 100 on the over and only $105 to win $100 on the under.

Rather than change their forecast to 47 wins, they move the "juice" to discourage over bettors and encourage people to bet the under.
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HoopStudies



Joined: 30 Dec 2004
Posts: 706
Location: Near Philadelphia, PA

PostPosted: Sun Oct 24, 2010 3:40 pm    Post subject: Reply with quote

Am I mistaken or did this thread not actually have anyone's actual predictions in it? Wink
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back2newbelf



Joined: 21 Jun 2005
Posts: 279

PostPosted: Mon Oct 25, 2010 10:55 am    Post subject: Reply with quote

Code:

Boston   53
NewJersey   28
Toronto   25
NewYork   37
Philly   27
   
Cleveland   35
Milwaukee   42
Chicago   45
Detroit   26
Indiana   31
   
Orlando   59
Miami   63
Washington   28
Atlanta   48
Charlotte   41
   
Utah   49
Minnesota   27
Denver   46
Oklahoma   51
Portland   52
   
GoldenState   36
Sacramento   36
Lakers   54
Phoenix   48
Clippers   27
   
Memphis   39
Houston   40
SA   49
Dallas   52
NO   36

I'll add more comments later today

If I write "player X is good", it means my rating said he was good. Obviously the rating system could have been wrong. I'm just too lazy to write "my rating system blabla" everytime.

"+" means I think it's good for the team (even if they lost a player)

Boston: Lost Rasheed (+)
Cleveland: Vegas has them at 29.5. Absolutely do not agree. Better Coach(+), still a solid starting 5.
Dallas: More Haywood, Chandler (+)
Denver: Vegas has them at 43.5. No idea why
Detroit: Lost their second best player from last year (Jerebko) (-)
Indiana: Watson was strong for them last year (-)
Clippers: Lost Camby (-). I think they would win <20 without Griffin
Lakers: Barnes is good (+). Kobe doesn't look very healthy and Bynum doesn't start the season (-)
Bucks: Lost Ridnour (-). Do not like Chris Douglas Roberts (-)
Wolves: Replaced players in their (by far) two worst positions, PG and SG (Ridnour for Flynn, Johnson for Brewer) (+)
Philly: Lost their best player in Dalembert and brought in a bad players in Hawes and Nocioni(!) (-)
Phoenix: Vegas has them at 41.5. I don't know. Last time everybody thought the Suns would take a huge hit in the standings, they were just fine (back when Stoudemire missed an entire season)
Portland: (Maybe?) More minutes for Batum/Przybilla/Oden/Camby (+)
Sacramento: No Nocioni, more Dalembert, Cousins, Landry (+)
Washington: No Brandan Haywood (-)

The overall method looked like this:
1. Compare last season depth chart with projected depth chart. Look for significant changes in projected production using https://docs.google.com/leaf?id=0An1RF2rWzwSwdC1MU0d6cVNwaWs2Tk83WEctUmhqRGc&sort=name&layout=list&pid=0B31RF2rWzwSwNmNjOGM5YjYtMjc5Ni00MzViLWFkYTEtYWZmODQyNmI2MmE1&cindex=8
2. Drift everybody a bit to the middle
3. I had the west winning way more than last year. Adjust for that
4. Adjust for significant changes in division strength


Last edited by back2newbelf on Tue Oct 26, 2010 9:48 am; edited 3 times in total
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Ed Küpfer



Joined: 30 Dec 2004
Posts: 787
Location: Toronto

PostPosted: Mon Oct 25, 2010 11:14 am    Post subject: Reply with quote

The Painted Area compiled forecasts from Vegas, John Hollinger, Kevin Pelton, and Kelly Dwyer.

Code:
EAST    Vegas   JH      KP      KD
MIA     64      66      60      70
ORL     55      55      52      60
BOS     53      51      42      50
CHI     46      48      51      49
ATL     46      46      35      48
MIL     45      49      42      48
CHA     38      30      32      38
NYK     35      37      44      41
PHI     35      43      33      35
IND     34      31      34      28
WAS     33      30      22      31
DET     31      32      27      19
CLE     29      29      39      12
TOR     26      22      35      31
NJN     25      26      40      27
                               
WEST    Vegas   JH      KP      KD
LAL     56      56      46      57
OKC     51      49      48      47
POR     51      55      55      50
SAS     50      54      49      55
DAL     50      48      48      52
UTH     48      47      41      52
HOU     47      46      36      46
DEN     43      46      49      50
PHX     41      38      37      52
NOH     40      45      49      44
MEM     38      36      39      40
LAC     36      27      27      38
GSW     32      32      49      21
SAC     28      28      43      26
MIN     23      26      30      13



KevinP hates me and loves David Lewin. That's what I'm getting from this.
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Kevin Pelton
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PostPosted: Mon Oct 25, 2010 11:53 am    Post subject: Reply with quote

Ed Küpfer wrote:
KevinP hates me and loves David Lewin. That's what I'm getting from this.

Yes, the "do I like their analyst?" factor is heavy in my projections. There are few differences, but if we track this again, my final offering is here:
http://www.basketballprospectus.com/article.php?articleid=1219
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back2newbelf



Joined: 21 Jun 2005
Posts: 279

PostPosted: Mon Oct 25, 2010 3:43 pm    Post subject: Reply with quote

haralabob wrote:
Assume these lines started out as;

Over 46.5 -110
Under 46.5 -110

You'd have to bet $110 to win 100 in profit on either the over or the under.

You know have to bet $115 to win 100 on the over and only $105 to win $100 on the under.

Rather than change their forecast to 47 wins, they move the "juice" to discourage over bettors and encourage people to bet the under.


Thank you.

Does anyone have a "chance that they'll blow their team up/have a firesale to tank for the lottery"-factor in their predictions?

Cleveland and New Orleans (if Paul doesn't return to form) seem like likely candidates
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BobboFitos



Joined: 21 Feb 2009
Posts: 201
Location: Cambridge, MA

PostPosted: Tue Oct 26, 2010 2:37 am    Post subject: Reply with quote

back2newbelf wrote:
haralabob wrote:
Assume these lines started out as;

Over 46.5 -110
Under 46.5 -110

You'd have to bet $110 to win 100 in profit on either the over or the under.

You know have to bet $115 to win 100 on the over and only $105 to win $100 on the under.

Rather than change their forecast to 47 wins, they move the "juice" to discourage over bettors and encourage people to bet the under.


Thank you.

Does anyone have a "chance that they'll blow their team up/have a firesale to tank for the lottery"-factor in their predictions?

Cleveland and New Orleans (if Paul doesn't return to form) seem like likely candidates


I'm assuming this is what caused the Denver free-fall (they opened at 49.5 I believe and now stand at 43.5)
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