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First team to 100

 
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devin3807



Joined: 11 Oct 2007
Posts: 66

PostPosted: Tue Apr 29, 2008 10:58 am    Post subject: First team to 100 Reply with quote

Ok, you all know the phrase "the first team to 100 wins".

I heard it recently during a game (I don't remember which), and I thought that it would be interesting to actually see the numbers on this, and at various other points.

Intuitively it makes sense:

-If you're the first to 100, that obviously means that you're in the lead.
-Games usually end around 100 points.
-If you're in the lead near the end of the game, you've probably got a better chance of winning, as a opposed to "the first one to 25", where you're obviously in the lead, but likely with about 3/4 of the game left to play and plenty of time for things to change.

Anyhow, I'd be interested in seeing some numbers on it.

Is there anyhow (website?) to punch in the numbers like this to yield the final record under these conditions? Ex. First to 100, first to 104, first to 60, etc.


Further, would it be reasonable to assume a steady climb in correlation between how high the score is, and how often they win?

For example, as an aggregate, would you assume that the first to 101 (and winning) actually has a higher correlation than first to 100, and then first to 102 (and winning) actually has a higher correlation than first to 101, and so on.

I would assume so, but I'd be interested to hear other views.
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Ryan J. Parker



Joined: 23 Mar 2007
Posts: 711
Location: Raleigh, NC

PostPosted: Tue Apr 29, 2008 11:12 am    Post subject: Reply with quote

I'm not aware of anything that exists where you can easily query for this sort of stuff, but you could use the data available at basketballvalue.com to calculate these sort of things.
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Kevin Pelton
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Joined: 30 Dec 2004
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Location: Seattle

PostPosted: Tue Apr 29, 2008 1:38 pm    Post subject: Reply with quote

First to 100 is also known as "Lawler's Law," as coined by long-time Clippers play-by-play guy Ralph Lawler.

According to Lawler's Wikipedia page, from 1978 through some time, Lawler's Law held 91.5% of the time in Clippers games. I came across an old blog of mine where I referenced an ESPN graphic saying it held 94% of the time over the past five years (this was cited early in the 2005-06 season).


Last edited by Kevin Pelton on Wed May 07, 2008 12:19 pm; edited 1 time in total
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S.K.



Joined: 18 Feb 2005
Posts: 61
Location: Toronto

PostPosted: Thu May 01, 2008 1:47 pm    Post subject: Reply with quote

This is pretty obvious, isn't it? The first team to X (where X is any number > zero) is more likely to win than their counterpart (since it's better to be winning than losing), and the higher X is, the greater the percentage (since by definition it'll be closer to the end of the game).

Let me rephrase this: teams that are winning late in the game are likely to win.
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Mike G



Joined: 14 Jan 2005
Posts: 3604
Location: Hendersonville, NC

PostPosted: Thu May 01, 2008 1:58 pm    Post subject: Reply with quote

I guess the 'first to 100' situation is reached about 60% of the time -- the other 40%, neither team reaches 100 -- and 90% of those times, it turns out to be winning team. So it's more graspable than "first team to 130 wins 99% of the time", or "first team to 40 wins 60% of the time", etc.

It therefore seems to have a little mental exercise built in, for those who don't do such things regularly. I doubt many coaches or players have improved their winning% by steering toward such a benchmark. It's just something to say because you can.
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gabefarkas



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

PostPosted: Tue May 06, 2008 9:12 pm    Post subject: Re: First team to 100 Reply with quote

devin3807 wrote:
Further, would it be reasonable to assume a steady climb in correlation between how high the score is, and how often they win?

For example, as an aggregate, would you assume that the first to 101 (and winning) actually has a higher correlation than first to 100, and then first to 102 (and winning) actually has a higher correlation than first to 101, and so on.

I would assume so, but I'd be interested to hear other views.

That seems reasonable. However, I think it would also be reasonable to say something along the lines of "the correlation between a team scoring X+1 and winning is higher than the correlation between a team scoring X and winning." In other words, I would think there might be a correlation between a team scoring higher and higher total points and winning. What does this tell us? Likely nothing we didn't already know by the time we first pronounced "bahs-kit-bawl".
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mtamada



Joined: 28 Jan 2005
Posts: 377

PostPosted: Wed May 07, 2008 6:04 am    Post subject: Reply with quote

S.K. wrote:
This is pretty obvious, isn't it?
[...]
Let me rephrase this: teams that are winning late in the game are likely to win.


It's not that trivial. The surprising part of Lawler's Law is not that teams that are ahead late in games have higher probabilities of winning; the surprising part is just how high that probability is.

It's similar to the famous probability problem about how many people in a room are likely to share the same birthday (meaning the same day, not the same day and year).

The trivial part is: the more people in the room, the higher the probability that two people will share a birthday. Duh.

But the surprising part is that in a room with only 23 people, there's a greater than 50% chance that two of them will share a birthday. Most people would not be able to guess that the probability is so high.

Simillarly, the trivial part of Lawler's Law is that the team with more points late in a game is likely to win. Duh.

But the surprising part is that the first team to 100 has a 91%-94% (according to KevinP's figures) probability of winning. Most people would not be able to guess that the probability is so high.
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Mike G



Joined: 14 Jan 2005
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PostPosted: Wed May 07, 2008 7:56 am    Post subject: Reply with quote

mtamada wrote:
...
But the surprising part is that the first team to 100 has a 91%-94% (according to KevinP's figures) probability of winning. Most people would not be able to guess that the probability is so high.

When scoring 100 is relatively rare -- as in the 5-year interval beginning this century -- the % will be higher than in an era when teams regularly score 110 or 120 pts.

Since the average winning margin in the NBA is some 10 to 12 points, a team taking a 100-91 lead, with 1:30 left, is quite likely to win, and I think most people would say so. This may have been the typical scenario in 2001-05 games in which a team reached 100.

Of course, if it's 98-97 to start the 4th quarter, and you say to the fellow next to you, "First to 100 wins", then it's just a joke. You'll probably agree it's just about 50-50 in that one. It all depends on how many points are scored after 100.
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