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Hollinger power ranking
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mateo82



Joined: 06 Aug 2005
Posts: 211

PostPosted: Fri Jan 19, 2007 9:37 am    Post subject: Hollinger power ranking Reply with quote

anyone care to give a crack at the methodology behind hollinger's new power ranking? At first glance it seems reasonable enough for me, but I'd have to hear why he chose the values he did.

Code:
RATING = (((SOS-0.5)/0.037)*0.67) + (((SOSL10-0.5)/0.037)*0.33) + 100 + (0.67*(MARG+(((ROAD-HOME)*3.5)/(GAMES))) +
(0.33*(MARGL10+(((ROADL10-HOMEL10)*3.5)/(10)))))

SOS = Season Win/Loss percentage of team’s opponents, expressed as a decimal (e.g., .500)
SOSL10 = Season Win/Loss percentage of team’s last 10 opponents, expressed as a decimal (e.g., .500)
MARG = Team’s average scoring margin
MARGL10 = Team’s average scoring margin over the last 10 games
HOME = Team’s home games
HOMEL10 = Team’s home games over the last 10 games
ROAD = Team’s road games
ROADL10 = Team’s road games over the last 10 games
GAMES = Team’s total games
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kjb



Joined: 03 Jan 2005
Posts: 864
Location: Washington, DC

PostPosted: Fri Jan 19, 2007 9:41 am    Post subject: Reply with quote

My biggest question is why he gives as much emphasis as he does to the last 10 games. I vaguely recall an Ed Kupfer post saying that giving extra credit to recent games does not improve results.
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mateo82



Joined: 06 Aug 2005
Posts: 211

PostPosted: Fri Jan 19, 2007 9:47 am    Post subject: Reply with quote

I don't have a problem with that, that's a large part of what a power ranking is, how teams are currently playing. if it were simply an effort to measure team performance for the current year that would be one thing, but it seems like an effort to make a more objective power ranking.
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Mike G



Joined: 14 Jan 2005
Posts: 3554
Location: Hendersonville, NC

PostPosted: Fri Jan 19, 2007 10:07 am    Post subject: Reply with quote

Extra weight to recent games may give you an edge, if there is a trend: The Suns are on a roll; the Spurs are losing steam. But if it's due to a player or two being out, it's probably more valuable to know when the player(s) are due back. If you know they're coming back tomorrow, you would do better to discount the recent games.
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deepak



Joined: 26 Apr 2006
Posts: 664

PostPosted: Fri Jan 19, 2007 11:37 am    Post subject: Reply with quote

Is there any good way to account for injuries in this sort of formula?
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asimpkins



Joined: 30 Apr 2006
Posts: 244
Location: Pleasanton, CA

PostPosted: Fri Jan 19, 2007 11:56 am    Post subject: Reply with quote

I think giving more credit to the last 10 games makes it a little more entertaining at least, even if it doesn't mean too much.

On the other hand, I remember reading some good articles at the end of last year about how the Pistons had cooled off considerably since their hot start and how Miami was finishing very strong -- and that even though their records were still very different, the teams were playing much closer to each other. Of course, those trends continued and Miami beat Detroit in the playoffs. This formula would pick up on something like that.
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Gary C



Joined: 14 Apr 2006
Posts: 69

PostPosted: Fri Jan 19, 2007 12:40 pm    Post subject: Reply with quote

At the 41 game mark, "Last 10 games" gets replaced by "Last 25 games" as the article notes. It's just an attempt to credit teams who are getting better or worse over the course of a season objectively. As with any objective measure, it will sometimes be misleading without context.
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jkubatko



Joined: 05 Jan 2005
Posts: 702
Location: Columbus, OH

PostPosted: Fri Jan 19, 2007 12:49 pm    Post subject: Reply with quote

Gary C wrote:
At the 41 game mark, "Last 10 games" gets replaced by "Last 25 games" as the article notes.


No, it's most recent 25 *percent* of their schedule. For example, after 60 games we would look at their last 15 games.
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mateo82



Joined: 06 Aug 2005
Posts: 211

PostPosted: Fri Jan 19, 2007 2:16 pm    Post subject: Reply with quote

I was hoping someone could explain the formula, such as why he divides by 0.037 and so forth. Sorry, I have a BA, this stuff is not obvious to me.
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deepak



Joined: 26 Apr 2006
Posts: 664

PostPosted: Fri Jan 19, 2007 2:24 pm    Post subject: Reply with quote

mateo82 wrote:
I was hoping someone could explain the formula, such as why he divides by 0.037 and so forth. Sorry, I have a BA, this stuff is not obvious to me.


Just a wild guess, but it looks like he's standardizing the SOS and SOSL10 terms by subtracting from 0.5 (average win%) and dividing by 0.037 (perhaps an estimate for standard deviation of win% league wide).
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THWilson



Joined: 19 Jul 2005
Posts: 164
Location: phoenix

PostPosted: Fri Jan 19, 2007 2:35 pm    Post subject: Reply with quote

deepak_e wrote:
mateo82 wrote:
I was hoping someone could explain the formula, such as why he divides by 0.037 and so forth. Sorry, I have a BA, this stuff is not obvious to me.


Just a wild guess, but it looks like he's standardizing the SOS and SOSL10 terms by subtracting from 0.5 (average win%) and dividing by 0.037 (perhaps an estimate for standard deviation of win% league wide).


I also find it non-obvious, and there is no explanation provided, so it would be cool if John swings by to explain. Standard deviation in winning percentage is currently on the order of 0.14 while standard deviation for winning percentage faced is closer to 0.013...
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cherokee_ACB



Joined: 22 Mar 2006
Posts: 157

PostPosted: Fri Jan 19, 2007 4:16 pm    Post subject: Reply with quote

mateo82 wrote:
I was hoping someone could explain the formula, such as why he divides by 0.037 and so forth. Sorry, I have a BA, this stuff is not obvious to me.


I believe he's trying to convert the opponents winning percentage into an expected point differential (i.e., compute the inverse pythagorean). +0.037 is a good estimation of the increase of pythWin% for every +1.0 in point differential.


Last edited by cherokee_ACB on Fri Oct 10, 2008 2:02 pm; edited 1 time in total
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Dan Rosenbaum



Joined: 03 Jan 2005
Posts: 541
Location: Greensboro, North Carolina

PostPosted: Mon Jan 22, 2007 1:09 am    Post subject: Reply with quote

Hollinger's new power rankings will be great for Chicago. In a week when they lose three games in the 4th quarter because they can't score, but win the fourth game by 40 over some hapless opponent, they will be able to feel good because they are moving up in the Hollinger power rankings.

It would be a lot of work, but it would be so much better if these ratings re-weighted points per possession within a game by the probability that a point actually changes the outcome. I don't think we learn a lot from those teams that are effective turning 25 point routs into 40 point routs vs. those teams that turn 25 point routs in 10 point wins that were never in doubt.

I am not claiming that margin of victory has no informational content, but all points are not created equal. Last year if you did something like I mention above, San Antonio did not look nearly as impressive. And that was a pretty good predictor of how San Antonio did in the playoffs.
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Mike G



Joined: 14 Jan 2005
Posts: 3554
Location: Hendersonville, NC

PostPosted: Mon Jan 22, 2007 7:08 am    Post subject: Reply with quote

Wow, Dan. You sound like one frustrated Bulls fan.

I think the assumption of pt-diff models is that over the course of a season, some 25-pt games will turn into 10-pt games, and others will turn into 40-pt games, but there won't be a significant tendency from one team to the next. A team with a deep bench may tend toward the blowout. Doesn't this mean they're really a better team than the team without a bench?

The Spurs are an interesting choice for your example. They're kind of famous for giving long rest to key players: Duncan averages 34 minutes, Ginobili 28 ... And this year, they're on a pace to win 8 games less than their Pythex suggests.

What I'd really like to see is a model that answers the perennial question: Would da Bears beat da Bulls?
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Harold Almonte



Joined: 04 Aug 2006
Posts: 616

PostPosted: Mon Jan 22, 2007 8:16 am    Post subject: Reply with quote

With good bench or not, it doesn't change that a 25-40 pts. margin in the 4th. quarter is low worth-garbage time with a far win probability (it must be adjusted for that kind of development game no matter same quality of opponents). That's no a real competition, the game passed the first three quarters. Points per possession is a relative valid team measure.
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