A numerical procedure is outlined for obtaining an interval estimate of a parameter in an empirical Bayes estimation problem. The case where each observed value x has a binomial distribution, conditional on a parameter zeta, is the only case considered. For each x, the parameter estimated is the expected value of zeta given x. The main purpose is…

A Bayesian prediction strategy is outlined in which antecedent measures are divided into two subgroups. One subgroup is used to discriminate among criterion groups, the second to provide normal linear predictions for each group. Individualized regression constants are subsequently obtained by computing probabilities of group membership from the…

This paper uses ordinary least squares regression to obtain probabilities for the post-graduation choices of high school seniors, and it presents an illustration of the use of these probabilities in calculating future income. Problems raised by the use of the least squares regression are discussed. The benefits of higher education and ways in…