130 karma · joined October 26, 2016
ZK proofs have a number of good explainers, mostly using graph colorings. Non-interactive versions, however, require quite a bit more than that explanation allows - and despite asking experts, I still haven't found a good, basic explanation.
Having used Bayesian stats heavily, I'd note that the hard parts are not gone, they are just located elsewhere - in how to actually do the computations, rather than in how to set up problems. Each can be taught poorly or well, but given that MCMC is certainly harder than least-squares, it seems difficult to argue that using Bayesian statistics is easier. (Unless you're not just applying the methods by rote, and letting the computer spit out answers - and if you are, I don't know why you are better off with Bayesian methods. In fact, if that's what you're doing, please stop doing statistics and pay an expert instead.)
A frequentist assessing probabilities to make decisions about how to respond is in, if anything, a far worse position. The Bayesian would ideally use priors on groups and cross-group correlations to note that the weak evidence that purple -> mean barely shifts from their priors, and the inter-group mean shows that they are likely to be nice, unless your prior is that different colors have nearly independent probabilities of being nice or mean.
As well as my more recent paper categorizing the different ways it occurs; https://arxiv.org/abs/1803.04585