Can someone help me understand the point being made in this response? http://normaldeviate.wordpress.com/2012/11/09/anti-xkcd/
The point depends on differences between confidence intervals and credible intervals.
Roughly, frequentist confidence intervals, but not Bayesian credible intervals, have the following coverage guarantee: if you repeat the sampling and analysis procedure over and over, in the long-run, the confidence intervals produced cover the truth some percentage of the time corresponding to the confidence level. If I set a 95% confidence level, then in the limit, 95% of the intervals I generate will cover the truth.
Bayesian credible intervals, on the other hand, tell u...
http://xkcd.com/1132/
Is this a fair representation of frequentists versus bayesians? I feel like every time the topic comes up, 'Bayesian statistics' is an applause light for me, and I'm not sure why I'm supposed to be applauding.