You can load a die but you can't bias a coin (2002) [pdf]
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You can load a die but you can't bias a coin (2002) [pdf]
1–10 of 21 posts
Re: You can load a die but you can't bias a coin (2002) [pdf]
#2Got a lot of respect for Andrew Gelman, but it's too bad he didn't cite Persi Diaconis: http://statweb.stanford.edu/~susan/papers/headswithJ.pdf
Re: You can load a die but you can't bias a coin (2002) [pdf]
#3Got a lot of respect for Andrew Gelman, but it's too bad he didn't cite Persi Diaconis: http://statweb.stanford.edu/~susan/papers/headswithJ.pdf
The Gelman-Nolan paper is from 2002; the Diaconis et al. paper is from 2007, and cites Gelman-Nolan. Gelman and Nolan are pretty smart, but they don't have a time machine.
Re: You can load a die but you can't bias a coin (2002) [pdf]
#4This needs a 2002 in the title.
Re: You can load a die but you can't bias a coin (2002) [pdf]
#5It's already biased towards the face that is facing up to start. With practice or by accident, you can toss it so that it wobbles but doesn't actually flip over. A casual observer cannot tell the difference.
Explained in http://www.amazon.com/Heads-Or-Tails-Gary-Kosnitzky/dp/B00FM...
Re: You can load a die but you can't bias a coin (2002) [pdf]
#6It's already biased towards the face that is facing up to start. With practice or by accident, you can toss it so that it wobbles but doesn't actually flip over. A casual observer cannot tell the difference. Explained in http://www.amazon.com/Heads-Or-Tails-Gary-Kosnitzky/dp/B00FM...
TODO: Build a robot with precise enough control that it can flip a coin (properly flipping, not just wobbling) and then catch it in a desired state (either heads or tails) with substantial accuracy.
Re: You can load a die but you can't bias a coin (2002) [pdf]
#7Got a lot of respect for Andrew Gelman, but it's too bad he didn't cite Persi Diaconis: http://statweb.stanford.edu/~susan/papers/headswithJ.pdf
The Gelman-Nolan paper is from 2002; the Diaconis et al. paper is from 2007, and cites Gelman-Nolan. Gelman and Nolan are pretty smart, but they don't have a time machine.
Indeed Diaconis et al. cites Gelman-Nolan.
Re: You can load a die but you can't bias a coin (2002) [pdf]
#8> The biased coin has long been part of statistical folklore, but it does not exist in the form in which it is imagined.
Sure it does, just abstractly. You can simulate a coin if any bias using a fair coin.
Re: You can load a die but you can't bias a coin (2002) [pdf]
#9It's already biased towards the face that is facing up to start. With practice or by accident, you can toss it so that it wobbles but doesn't actually flip over. A casual observer cannot tell the difference. Explained in http://www.amazon.com/Heads-Or-Tails-Gary-Kosnitzky/dp/B00FM...
TODO: Build a robot with precise enough control that it can flip a coin (properly flipping, not just wobbling) and then catch it in a desired state (either heads or tails) with substantial accuracy.
That's a pretty cool idea! Let me know how it goes :) I think it's totally possible.
For your viewing pleasure:
https://www.youtube.com/watch?v=tIIJME8-au8
Cheers.
Re: You can load a die but you can't bias a coin (2002) [pdf]
#10If you go beyond the title and read the paper carefully, what it states is if you spin a coin rapidly in the air with a horizontal spinning axis and catch it in the air, then weighting the coin doesn't bias it. If you throw a coin in other ways (e.g. let it land on a surface), then you can of course bias a coin.