Box-Cox변환을 이용한 다변량 공정능력 분석

• 영문명: Analysis of Multivariate Process Capability Using Box-Cox Transformation
• 발행기관: 한국산업경영시스템학회
• 저자명: 문혜진(Hye-Jin Moon) 정영배(Young-Bae Chung)
• 간행물 정보: 『산업경영시스템학회지』제42권 제2호, 18~27쪽, 전체 10쪽
• 주제분류: 경제경영 > 경영학
• 파일형태: PDF
• 발행일자: 2019.06.30

영문 초록

The process control methods based on the statistical analysis apply the analysis method or mathematical model under the assumption that the process characteristic is normally distributed. However, the distribution of data collected by the automatic measurement system in real time is often not followed by normal distribution. As the statistical analysis tools, the process capability index (PCI) has been used a lot as a measure of process capability analysis in the production site. However, PCI has been usually used without checking the normality test for the process data. Even though the normality assumption is violated, if the analysis method under the assumption of the normal distribution is performed, this will be an incorrect result and take a wrong action. When the normality assumption is violated, we can transform the non-normal data into the normal data by using an appropriate normal transformation method. There are various methods of the normal transformation. In this paper, we consider the Box-Cox transformation among them. Hence, the purpose of the study is to expand the analysis method for the multivariate process capability index using Box-Cox transformation. This study proposes the multivariate process capability index to be able to use according to both methodologies whether data is normally distributed or not. Through the computational examples, we compare and discuss the multivariate process capability index between before and after Box-Cox transformation when the process data is not normally distributed.

목차

1. 서 론

2. 이론적 배경

3. Box-Cox를 이용한 다변량 공정능력분석

4. 수치 예

키워드

Box-Cox Transformation Non-Normal Distribution Multivariate Process Capability Index