Statistical Tests for Process Capability Index Cp Based on Mixture Normal Process

Cho, Joong Jae; Heo, Tae-Young; Jeong, Jun Chel

Journal of Korean Society for Quality Management > Volume 42(2); 2014 > Article

Journal of Korean Society for Quality Management 2014;42(2): 209-.

혼합 정규공정 하에서의 공정능력지수 C_p에 대한 가설검정

조중재, 허태영, 정준철

충북대학교 정보통계학과

Statistical Tests for Process Capability Index C_p Based on Mixture Normal Process

Joong Jae Cho, Tae-Young Heo, Jun Chel Jeong

Department of Information and Statistics, Chungbuk National University

ABSTRACT

Purpose:
The purpose of this study is to develop the statistical test for process capability index $C_p$ based on mixture normal process.
Methods:
This study uses Bootstrap method to calculate the approximate P-value for various simulation conditions under mixture normal process.
Results:
This study indicates that our proposed method is effective way to test for process capability index $C_p$ based on mixture normal process.
Conclusion:
This study finds out that statistical test for process capability index $C_p$ based on mixture normal process is useful for real application.

Key Words: Process Capability Index;Mixture Normal Distribution;Limiting Distribution;Bootstrap;