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This is a 16.7% decrease, but with far too small a sample size to be significant by itself. [[User:GregG]], care to run the significance test?
 
This is a 16.7% decrease, but with far too small a sample size to be significant by itself. [[User:GregG]], care to run the significance test?
 
Also of note, there appears to be something going on with the Belgians and Dutch, who have seen a consistent decline, while the rest of the nations have not, apparently. Since they are geographically and culturally close, this may be relevant. Ignoring them, we have no data for 2004, a 4.6% INCREASE in 2008, and again a 4.6% increase in 2012, neither of which is statistically significant by itself, and probably still not together. (Note: 4.6% increase is just as statistically significant as 4.6% decrease.  In this case, not very) Of course, we can't just kick the two lowest samples out of the data set. But there seems to be some factor that has steadily brought the Dutch and Belgian totals down, without influencing anyone else. Was something else going on in Belgium and the Netherlands at the same time? Or was the 2000 medals we're using as the baseline simply an anomaly? I'm guessing the latter. 2000 was the Dutch's best Olympics EVER. It wasn't the Belgians', but even the 40% decrease from 2000 to 2004 isn't significant when they only had 5 to begin with. I'm going to rerun this data when I have more time, using totals from the three previous summer Olympics, and totals from all Olympiads thereafter, multiplying the latter by 3 or 1.5 if necessary, where there are fewer years, although I'll note where so as not to effect the significance test. [[User:Gregkochuconn|Gregkochuconn]] 16:41, 13 August 2012 (EDT)
 
Also of note, there appears to be something going on with the Belgians and Dutch, who have seen a consistent decline, while the rest of the nations have not, apparently. Since they are geographically and culturally close, this may be relevant. Ignoring them, we have no data for 2004, a 4.6% INCREASE in 2008, and again a 4.6% increase in 2012, neither of which is statistically significant by itself, and probably still not together. (Note: 4.6% increase is just as statistically significant as 4.6% decrease.  In this case, not very) Of course, we can't just kick the two lowest samples out of the data set. But there seems to be some factor that has steadily brought the Dutch and Belgian totals down, without influencing anyone else. Was something else going on in Belgium and the Netherlands at the same time? Or was the 2000 medals we're using as the baseline simply an anomaly? I'm guessing the latter. 2000 was the Dutch's best Olympics EVER. It wasn't the Belgians', but even the 40% decrease from 2000 to 2004 isn't significant when they only had 5 to begin with. I'm going to rerun this data when I have more time, using totals from the three previous summer Olympics, and totals from all Olympiads thereafter, multiplying the latter by 3 or 1.5 if necessary, where there are fewer years, although I'll note where so as not to effect the significance test. [[User:Gregkochuconn|Gregkochuconn]] 16:41, 13 August 2012 (EDT)
 +
: Going in alphabetical order,
 +
Belgium - 14 from 1992-2000, 8 from 2004-2012 (no reweighting necessary)
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Canada - 48 from 1996-2004, 36 from 2008-2012, multiply by 1.5 to weight as if there were 3 Olympics = 54 weighted total
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Denmark - 21 from 2000-2008, 9 in 2012, reweights as 27
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Iceland - 2 from 2000-2008, 0 in 2012, reweights as 0
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Netherlands - 59 from 1992-2000, 58 from 2004-2012, no reweighting necessary
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Norway - 23 from 1996-2004, 13 in 2008-2012, reweight as 19.5 due to lack of future data
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Portugal - 7 from 2000-2008, 1 in 2012, reweights as 3
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South Africa - 17 from 1996-2004, 7 from 2008-2012, reweight as 10.5
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Spain - 47 from 1996-2004, 35 from 2008-2012, reweights as 52.5
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Sweden - 24 from 2000-2008, 8 in 2012, reweights as 24
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Total - 262 "baseline", 256.5 actual+projected, decrease of 5.5, or 2.1%. Smaller percentage, but with a larger sample size, it could have a higher significance. Or the two could cancel out. I can't do the math in my head. [[User:GregG]], do you mind doing the calculations again? [[User:Gregkochuconn|Gregkochuconn]] 16:52, 13 August 2012 (EDT)
    
== Medal weighting ==
 
== Medal weighting ==
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