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In this case, the graphs don't seem to add any more clarity beyond what is already provided by the counts (e.g., 47 heads, 53 tails). I would be more intereste
by carbocation 15y ago
In this case, the graphs don't seem to add any more clarity beyond what is already provided by the counts (e.g., 47 heads, 53 tails).
I would be more interested to understand to what extent each coin appears to statistically differ from a fair coin, and in fact that's what I imagined the article would cover, given the title.
- jackpirate 15y agoThat's exactly what the graphs were trying to convey. Maybe it could have been explained more clearly?
- carbocation 15y agoPlotting it out forces the reader to try to visually calculate the integral. Wikipedia gives a nice treatment of how to get a numerical answer to "What is the probability that this coin is fair:" http://en.wikipedia.org/wiki/Checking_whether_a_coin_is_fair#Posterior_probability_density_function http://en.wikipedia.org/wiki/Checking_whether_a_coin_is_fair...
- jackpirate 15y agoI actually tried including an analytic solution as well, but it took up a lot of space and seemed like clutter. I figured most people would prefer the graphical solutions anyways. Thanks for the link, I should include that inside the post somewhere. EDIT: Done.