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Bayes two-decision procedures for two-sample problems and rank-order data
Authors:J C Baskerville  D L Solomon
Abstract:A two-sample problem for rank-order data is formulated as a two-decision problem. Using the general Bayes solution, Bayes procedures are derived for several configurations of the set of states of nature including some for which the problem is distribution-free. It is shown that for certain prior distributions these procedures reduce to classical LMP rank tests. Some devices for selection of prior distributions are suggested. It is shown that the Bayes risk of these procedures tends to zero as sample sizes increase.
Keywords:Bayes procedures  two-sample problem  locally most powerful rank tests  Lehmann alternatives  shift alternatives  Bayesian nonparametrie methods  
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