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http://dx.doi.org/10.5351/KJAS.2006.19.3.447

On Multiple Comparison of Geometric Means of Exponential Parameters via Graphical Model  

Kim, Dae-Hwang (Department of Statistics, Dongguk University)
Kim, Hea-Jung (Department of Statistics, Dongguk University)
Publication Information
The Korean Journal of Applied Statistics / v.19, no.3, 2006 , pp. 447-460 More about this Journal
Abstract
This paper develops a multiple comparison method for finding an optimal ordering of K geometric means of exponential parameters. 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 new graphical model that yields criteria for the optimal ordering in the multiple comparison. Necessary theories involved in the method and some computational aspects are provided. Some numerical examples are given to illustrate the efficiency of the suggested method.
Keywords
preference matrix; multiple comparison; geometric mean; exponential distribution; graphical model;
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