Bayesian Procedure for the Multiple Test of Fraction Nonconforming

부적합률의 다중검정을 위한 베이지안절차

  • 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)
  • 김경숙 (전남대학교 자연과학대학 통계학과) ;
  • 김희정 (전남대학교 자연과학대학 통계학과) ;
  • 나명환 (전남대학교 자연과학대학 통계학과) ;
  • 손영숙 (전남대학교 자연과학대학 통계학과)
  • Published : 2006.04.08

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