why is it a hierarchical model why is it necessary to implement categorical hierarchies who is involved in the analysis of the difference of proportions what is a Bayesian model example for experiment a. why is it important to use a hierarchical distribution. b. how is it possible to use a corresponding hyperparameter in a data set what kind of analysis is a bayesian model why are bayesian experiments necessary? why is it important to do a Bayesian study what is the difference of proportion in a Bayesian experiment where is the bayesian approach for data t used what is the problem with a hierarchical model why is the difference of proportions a hierarchical analysis? a problem where the probability of a successful observation is determined by a population is a what is the problem of hierarchical analysis why is it called a hierarchical analysis what is the underlying difference in proportions what is the purpose of each hierarchical Bayesian model? is the difference between the population and the sample a bayesian model what type of data sets can you use with a hierarchical model? why is it called a hierarchical problem