Question: Non-informative prior distributions: Suppose for a binary sampling problem we plan on using a uniform, or beta(1,1), prior for the population proportion ?. Perhaps our reasoning is that this represents "no prior information about ?." However, some people like to look at proportions on the log-odds scale, that is, they are interested in = log ? 1? . Via Monte Carlo sampling or otherwise, ?nd the prior distribution for that is induced by the uniform prior for ?. Is the prior informative about ?