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Bayesian Procedure for the Multiple Test of Fraction Nonconforming  

Kim, Kyung-Sook (Department of Statistics, College of Natural Sciences, Chonnam National University)
Kim, Hee-Jeong (Department of Statistics, College of Natural Sciences, Chonnam National University)
Na, Myung-Hwan (Department of Statistics, College of Natural Sciences, Chonnam National University)
Son, Young-Sook (Department of Statistics, College of Natural Sciences, Chonnam National University)
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Abstract
In this paper, the Bayesian procedure for the multiple test of fraction nonconforming, p, is proposed. It is the procedure for checking whether the process is out of control, in control, or under the permissible level for p. The procedure is as follows: first, setting up three types of models, $M_1:p=p_0,\;M_2:pp_0$, second, computing the posterior probability of each model. and then choosing the model with the largest posterior probability as a model most fitted for the observed sample among three competitive models. Finally, the simulation study is performed to examine the proposed method.
Keywords
Fraction Nonconforming; Multiple Test; Bayes Factor; Posterior Probability;
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Times Cited By KSCI : 2  (Citation Analysis)
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