Idea for testing the "Live and die by the Three" hypothesis
Posted: Tue Nov 18, 2014 9:51 am
Hi everybody,
I have a relatively simple idea how the "Live and die by the Three" saying could be tested - at least for a person that is used to parsing stuff from Basketball-Reference.com
In my opinion, the basic mathematical idea behind "Live and die by the Three" is: 'teams that shoot a lot of threes have a higher variance in their game to game outcome and are thus more relying on chance."
This is a hypothesis that can be easily tested in a few steps (again, if you know better than me how to parse data). What the person would need to do is:
1. extract on these pages (or wherever you like) http://www.basketball-reference.com/tea ... 4/gamelog/ the ORtg game logs
2. calculate the variance or std
3. You need as well the mean ORtg of a team and the mean 3PAr. But if you are able to complete step 1, this should be easy.
4. For most values in this world, there is usually a correlation between std and mean (signal-to-noise-ratio). And there might be a correlation between ORtg and 3PAr.
So you would need to use noise instead of std. Noise is usually variance/mean^2 or variance/mean. It's a theoretical thing, so take whatever between variance or noise does not/barely correlate with your mean.
5. Look for correlation between noise/variance and 3PAr
I guess this would not be the end of the story, but it would be a way better way to show anything than 'Well, the Spurs shot a lot of threes las year!'. Just in case someone is interested to look into this
Cheers,
Hannes (@SportsTribution)
I have a relatively simple idea how the "Live and die by the Three" saying could be tested - at least for a person that is used to parsing stuff from Basketball-Reference.com
In my opinion, the basic mathematical idea behind "Live and die by the Three" is: 'teams that shoot a lot of threes have a higher variance in their game to game outcome and are thus more relying on chance."
This is a hypothesis that can be easily tested in a few steps (again, if you know better than me how to parse data). What the person would need to do is:
1. extract on these pages (or wherever you like) http://www.basketball-reference.com/tea ... 4/gamelog/ the ORtg game logs
2. calculate the variance or std
3. You need as well the mean ORtg of a team and the mean 3PAr. But if you are able to complete step 1, this should be easy.
4. For most values in this world, there is usually a correlation between std and mean (signal-to-noise-ratio). And there might be a correlation between ORtg and 3PAr.
So you would need to use noise instead of std. Noise is usually variance/mean^2 or variance/mean. It's a theoretical thing, so take whatever between variance or noise does not/barely correlate with your mean.
5. Look for correlation between noise/variance and 3PAr
I guess this would not be the end of the story, but it would be a way better way to show anything than 'Well, the Spurs shot a lot of threes las year!'. Just in case someone is interested to look into this

Cheers,
Hannes (@SportsTribution)