Advances and Applications in Statistics
Volume 3, Issue 3, Pages 267 - 283
(December 2003)
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A BAYESIAN APPROACH FOR ORDERING PRODUCTS OF INDEPENDENT NORMAL MEANS
Hee-Kyung Yoo (Korea), Hea-Jung Kim (Korea) and Dae-Hwang Kim (Korea)
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Abstract: In
this paper we develop a Bayesian method for
finding an optimal ordering of K
products of independent normal means. This
is based on the paired comparison experimental
arrangement whose results can naturally be
represented by a completely oriented graph.
Introducing posterior preference probabilities
and stochastic transitivity conditions to the
graph, we obtain a graphical model that yield
criteria for the optimal ordering. Necessary
criteria involved in the method and some
computational aspects are provided. An example
concerned with the environmental statistic is
given to illustrate the method. |
Keywords and phrases: Bayesian approach, Monte Carlo method, posterior preference probability, preference matrix, product of normal means, optimal ordering criteria, stochastic transitivity conditions. |
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