Extreme WCA average/single ratios

Stefan

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Just saw Shane Rowland's average/single ratio and looked up the highest and lowest ratios (using people's current 3x3x3 single and average records):


Code:
Top 10 highest average/single ratio:

            single  average   av/si
[url=http://www.worldcubeassociation.org/results/p.php?i=2008KULI01]2008KULI01[/url]   21.20   63.35   2.9882
[url=http://www.worldcubeassociation.org/results/p.php?i=2010ROWL01]2010ROWL01[/url]   13.61   39.14   2.8758
[url=http://www.worldcubeassociation.org/results/p.php?i=2006TANA01]2006TANA01[/url]   38.96  108.32   2.7803
[url=http://www.worldcubeassociation.org/results/p.php?i=2009SOST01]2009SOST01[/url]   69.46  180.54   2.5992
[url=http://www.worldcubeassociation.org/results/p.php?i=2007OKAD01]2007OKAD01[/url]   23.09   59.38   2.5717
[url=http://www.worldcubeassociation.org/results/p.php?i=2007HOLD03]2007HOLD03[/url]   89.43  213.11   2.3830
[url=http://www.worldcubeassociation.org/results/p.php?i=2009HEND01]2009HEND01[/url]  106.93  253.12   2.3672
[url=http://www.worldcubeassociation.org/results/p.php?i=2008DIAZ01]2008DIAZ01[/url]   19.93   46.27   2.3216
[url=http://www.worldcubeassociation.org/results/p.php?i=2010RUZA01]2010RUZA01[/url]   61.30  140.22   2.2874
[url=http://www.worldcubeassociation.org/results/p.php?i=2008YINW02]2008YINW02[/url]   27.77   61.02   2.1973

Top 10 lowest average/single ratio:

            single  average   av/si
[url=http://www.worldcubeassociation.org/results/p.php?i=2009KUNG01]2009KUNG01[/url]   20.90   21.05   1.0072
[url=http://www.worldcubeassociation.org/results/p.php?i=2008MUNO01]2008MUNO01[/url]   33.81   34.21   1.0118
[url=http://www.worldcubeassociation.org/results/p.php?i=2010VIDA01]2010VIDA01[/url]   50.65   51.28   1.0124
[url=http://www.worldcubeassociation.org/results/p.php?i=2010RASS02]2010RASS02[/url]   56.44   57.35   1.0161
[url=http://www.worldcubeassociation.org/results/p.php?i=2010KAWA02]2010KAWA02[/url]   14.90   15.15   1.0168
[url=http://www.worldcubeassociation.org/results/p.php?i=2009AVAN01]2009AVAN01[/url]   24.16   24.59   1.0178
[url=http://www.worldcubeassociation.org/results/p.php?i=2008SHEN01]2008SHEN01[/url]   57.53   58.59   1.0184
[url=http://www.worldcubeassociation.org/results/p.php?i=2006KANG03]2006KANG03[/url]   47.08   47.95   1.0185
[url=http://www.worldcubeassociation.org/results/p.php?i=2007KURA01]2007KURA01[/url]   20.81   21.23   1.0202
[url=http://www.worldcubeassociation.org/results/p.php?i=2005HIRA02]2005HIRA02[/url]   24.93   25.45   1.0209
 
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I think the last competition is a clear indicator that the 13 second solve was a misprint on the score card. That should be corrected.

His times clearly indicate that some type of error was made:

Safe Haven 2010 First 19 31.93 39.14 35.86 39.59 31.93 41.97 54.75
Iowa Open 2010 First 23 28.28 39.84 38.72 28.28 41.16 39.65 48.88
Baltimore Spring 2010 First 29 13.61 43.98 13.61 50.63 1:38.86 34.94 46.38
MIT Spring 2010 First 53 45.66 1:02.14 45.66 1:18.36 1:14.21 50.71 1:01.50
Indiana Winter 2010 First 46 47.25 57.87 47.25 48.81 1:02.53 1:02.28 1:10.00
Drexel Winter 2010 First 11 49.21 57.04 58.72 53.05 59.36 1:06.36 49.21
 
I think the last competition is a clear indicator that the 13 second solve was a misprint on the score card. That should be corrected.

His times clearly indicate that some type of error was made:

Safe Haven 2010 First 19 31.93 39.14 35.86 39.59 31.93 41.97 54.75
Iowa Open 2010 First 23 28.28 39.84 38.72 28.28 41.16 39.65 48.88
Baltimore Spring 2010 First 29 13.61 43.98 13.61 50.63 1:38.86 34.94 46.38
MIT Spring 2010 First 53 45.66 1:02.14 45.66 1:18.36 1:14.21 50.71 1:01.50
Indiana Winter 2010 First 46 47.25 57.87 47.25 48.81 1:02.53 1:02.28 1:10.00
Drexel Winter 2010 First 11 49.21 57.04 58.72 53.05 59.36 1:06.36 49.21

The judge was 100% sure the timer said 13.61. There is no doubt about that.
 
It was a 13 second solve, but it was cheated. It will be removed. I am surprised someone beat Shane at this event.

The 20.90 20.90 20.90 is pretty suspicious. It's possible, but it seems much more likely that it was a mistake on the part of the judge or data entry person.


Stefan: Can you write this up for a few other common events, such as 3OH and 2x2? And could you write up a list of the smallest difference (not ratio) between single and average?
 
The above was the ratio of currentRecordAverage/currentRecordSingle, here are the extremes for average/single with the single being in that average:

Code:
  avg  /  single =  av/si
112.86 /  16.46  =  [b]6.857[/b]  [url=http://www.worldcubeassociation.org/results/p.php?i=2009SHEP01]Daniel Sheppard[/url]
 71.90 /  21.56  =  [b]3.335[/b]  [url=http://www.worldcubeassociation.org/results/p.php?i=2009HONI01]Nicholas Ho[/url]
 43.98 /  13.61  =  [b]3.231[/b]  [url=http://www.worldcubeassociation.org/results/p.php?i=2010ROWL01]Shane Rowland[/url]
 63.35 /  21.20  =  [b]2.988[/b]  [url=http://www.worldcubeassociation.org/results/p.php?i=2008KULI01]Jake Kuli[/url]
180.54 /  69.46  =  [b]2.599[/b]  [url=http://www.worldcubeassociation.org/results/p.php?i=2009SOST01]Joelle Sostheim[/url]
 74.02 /  30.18  =  [b]2.453[/b]  [url=http://www.worldcubeassociation.org/results/p.php?i=2009OLIV06]Rodrigo Marques de Oliveira[/url]
213.11 /  89.43  =  [b]2.383[/b]  [url=http://www.worldcubeassociation.org/results/p.php?i=2007HOLD03]Sabine Holderer[/url]
 45.62 /  19.19  =  [b]2.377[/b]  [url=http://www.worldcubeassociation.org/results/p.php?i=2009CART01]Jesse Cartier[/url]
253.12 / 106.93  =  [b]2.367[/b]  [url=http://www.worldcubeassociation.org/results/p.php?i=2009HEND01]Paul Hendrickson[/url]
 37.37 /  15.85  =  [b]2.358[/b]  [url=http://www.worldcubeassociation.org/results/p.php?i=2007BROW01]Greg Brown[/url]

  avg  /  single =  av/si
 14.71 /  14.66  =  [b]1.003[/b]  [url=http://www.worldcubeassociation.org/results/p.php?i=2007LUCH02]Luchen Zhang[/url]
 19.86 /  19.78  =  [b]1.004[/b]  [url=http://www.worldcubeassociation.org/results/p.php?i=2009TANG05]Zhen Tang[/url]
 28.79 /  28.66  =  [b]1.005[/b]  [url=http://www.worldcubeassociation.org/results/p.php?i=2009GENN01]Brian Gennow[/url]
 15.77 /  15.69  =  [b]1.005[/b]  [url=http://www.worldcubeassociation.org/results/p.php?i=2008DZIK01]Grzegorz Dzikiewicz[/url]
 15.57 /  15.49  =  [b]1.005[/b]  [url=http://www.worldcubeassociation.org/results/p.php?i=2004CHAM01]Edouard Chambon[/url]
 23.94 /  23.81  =  [b]1.005[/b]  [url=http://www.worldcubeassociation.org/results/p.php?i=2006SEWE01]Tomasz Seweryn[/url]
 14.60 /  14.52  =  [b]1.006[/b]  [url=http://www.worldcubeassociation.org/results/p.php?i=2007ALMA01]Cameron Almasi[/url]
 15.86 /  15.77  =  [b]1.006[/b]  [url=http://www.worldcubeassociation.org/results/p.php?i=2007VALK01]Mats Valk[/url]
 16.74 /  16.63  =  [b]1.007[/b]  [url=http://www.worldcubeassociation.org/results/p.php?i=2005VANH01]Anssi Vanhala[/url]
 21.05 /  20.90  =  [b]1.007[/b]  [url=http://www.worldcubeassociation.org/results/p.php?i=2009KUNG01]Tzu Chieh Kung[/url]
 
And finally the averageRecordSoFar/singleRecordSoFar, which is similar to currentRecordAverage/currentRecordSingle but also considers past points of time.

I might do more about this (like qq requested), but for now I'll go back to speedcubing.com/UWRs, sorry. Of course you can always do these analyses yourself :P. Which would also be a nice check of my calculations...

How did Shane cheat, btw?

Code:
  avg  /  single =  av/si
 43.98 /  13.61  =  [b]3.231[/b]  [url=http://www.worldcubeassociation.org/results/p.php?i=2010ROWL01]Shane Rowland[/url]
 63.35 /  21.20  =  [b]2.988[/b]  [url=http://www.worldcubeassociation.org/results/p.php?i=2008KULI01]Jake Kuli[/url]
180.54 /  69.46  =  [b]2.599[/b]  [url=http://www.worldcubeassociation.org/results/p.php?i=2009SOST01]Joelle Sostheim[/url]
 74.02 /  30.18  =  [b]2.453[/b]  [url=http://www.worldcubeassociation.org/results/p.php?i=2009OLIV06]Rodrigo Marques de Oliveira[/url]
213.11 /  89.43  =  [b]2.383[/b]  [url=http://www.worldcubeassociation.org/results/p.php?i=2007HOLD03]Sabine Holderer[/url]
 45.62 /  19.19  =  [b]2.377[/b]  [url=http://www.worldcubeassociation.org/results/p.php?i=2009CART01]Jesse Cartier[/url]
253.12 / 106.93  =  [b]2.367[/b]  [url=http://www.worldcubeassociation.org/results/p.php?i=2009HEND01]Paul Hendrickson[/url]
140.22 /  61.30  =  [b]2.287[/b]  [url=http://www.worldcubeassociation.org/results/p.php?i=2010RUZA01]Oksana Ruzaeva[/url]
137.39 /  60.50  =  [b]2.271[/b]  [url=http://www.worldcubeassociation.org/results/p.php?i=2009STAN01]Graham Stanfield[/url]
 61.02 /  27.77  =  [b]2.197[/b]  [url=http://www.worldcubeassociation.org/results/p.php?i=2008YINW02]Warm Yin[/url]

 15.77 /  15.69  =  [b]1.005[/b]  [url=http://www.worldcubeassociation.org/results/p.php?i=2008DZIK01]Grzegorz Dzikiewicz[/url]
 15.57 /  15.49  =  [b]1.005[/b]  [url=http://www.worldcubeassociation.org/results/p.php?i=2004CHAM01]Edouard Chambon[/url]
 21.05 /  20.90  =  [b]1.007[/b]  [url=http://www.worldcubeassociation.org/results/p.php?i=2009KUNG01]Tzu Chieh Kung[/url]
 28.83 /  28.62  =  [b]1.007[/b]  [url=http://www.worldcubeassociation.org/results/p.php?i=2006ZAHR01]Martin ZahradnÃ[/url]
 35.65 /  35.38  =  [b]1.008[/b]  [url=http://www.worldcubeassociation.org/results/p.php?i=2006ADAM01]Arthur Adams[/url]
100.38 /  99.58  =  [b]1.008[/b]  [url=http://www.worldcubeassociation.org/results/p.php?i=2009LAUC02]LÃ Laucas[/url]
 49.86 /  49.36  =  [b]1.010[/b]  [url=http://www.worldcubeassociation.org/results/p.php?i=2007KALK01]Lukas Kalkhoff[/url]
 70.90 /  70.18  =  [b]1.010[/b]  [url=http://www.worldcubeassociation.org/results/p.php?i=2007SCOT01]Viv Scott[/url]
 23.49 /  23.25  =  [b]1.010[/b]  [url=http://www.worldcubeassociation.org/results/p.php?i=2009NOVA01]Daniel Novakovic[/url]
 23.26 /  23.02  =  [b]1.010[/b]  [url=http://www.worldcubeassociation.org/results/p.php?i=2004CHAN02]Frank Chang[/url]
 
Stefan, could you update the Age vs Speed thingy?

Soon. At the moment it requires a little manual work, I'll fully automate it soon. Cubieverse and maybe this and some other stuff as well. Right now I'll go back to speedcubing.com/UWRs, sorry, want to get that done.
 
Last edited:
The above was the ratio of currentRecordAverage/currentRecordSingle, here are the extremes for average/single with the single being in that average:

Code:
  avg  /  single =  av/si
112.86 /  16.46  =  [b]6.857[/b]  [url=http://www.worldcubeassociation.org/results/p.php?i=2009SHEP01]Daniel Sheppard[/url]

Oops. In case anyone is wondering, I was mucking around in the last solve :p
 
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