What does this have to do with Bayes? A frequentist assessing probabilities to make decisions about how to respond is in, if anything, a far worse position. Th

What does this have to do with Bayes? 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.