A Note on the Combined Control Charts based on the Simultaneous Tests

• 발행기관: 한국자료분석학회
• 저자명: 홍승만(Seungman Hong) 박효일(Hyo-Il Park)
• 간행물 정보: 『Journal of The Korean Data Analysis Society (JKDAS)』Vol.18 No.2, 575~582쪽, 전체 8쪽
• 주제분류: 자연과학 > 통계학
• 파일형태: PDF
• 발행일자: 2016.04.30

영문 초록

In this study, first of all, we review several simultaneous tests for the mean and variance under the normality assumption. With formulating the null hypothesis and its alternative, we consider applying the joint test statistics which have been derived using the likelihood ratio principle and combination functions to combine the individual partial tests for the simultaneous tests. We use the individual p-values for each partial test to construct the simultaneous tests and obtain the overall p-values to complete the simultaneous tests using the null distributions for the combination functions. Then we apply these simultaneous tests to the statistical process control with discussion for running the combined charts for an industrial example based on the idea that a series of hypothesis test and maintenance of control chart are equivalent. Finally we discuss some interesting features about the simultaneous tests and combined charts with simultaneous confidence region as concluding remarks.

목차

1. Introduction

2. Simultaneous tests

3. An application to the combined chart and an example

4. Some concluding remarks

References

키워드

Combining function Combined chart Likelihood ratio principle Partial test