Browse > Article
http://dx.doi.org/10.7469/JKSQM.2014.42.2.209

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

Cho, Joong Jae (Department of Information and Statistics, Chungbuk National University)
Heo, Tae-Young (Department of Information and Statistics, Chungbuk National University)
Jeong, Jun Chel (Department of Information and Statistics, Chungbuk National University)
Publication Information
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.
Keywords
Process Capability Index; Mixture Normal Distribution; Limiting Distribution; Bootstrap;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
연도 인용수 순위
1 Lin, P. C., and Pearn, Wen Lea. 2002. "Testing Process Capabiblity for one-sided specification limit with Application to the voltage level translator." Microelectronics Reliability 42:1975-1983.   DOI   ScienceOn
2 Hall, Peter. 1988. "Theoretical Comparison of Bootstrap Confidence Intervals." Annals of Statistics 16:927-953.   DOI   ScienceOn
3 Jeong, Jun Chel. 2011. "Statistical Inference for Process Capability Index $C_{p}$ under a Mixed Normal Distribution." A thesis for the degree of Master, Chungbuk National University.
4 Kim, Pyong-Koo, and Cho, Joong Jae. 1998. "Some Process Capability Indices using Loss Function under Contaminated Normal Process." Journal of the Korean Society for Quality Management 26(4):65-78.   과학기술학회마을
5 Pearn, Wen Lea, Yang, S. L., and Chen, Kuen-Suan. 2001. "Testing Process Capability $C_{pmk}$ with an Application," International Journal of Reliability Quality and Safety Engineering 8(1):15-34.   DOI   ScienceOn
6 Shin, Kyung-Seok, Kim, Seong Jip, and Kang, Chang Wook. 1996. "An Improved Process Incapability Index for the Evaluation of Process Capability." Journal of the Korean Society for Quality Management 24(4):90-102.
7 Beran, Rudolf. 1984. "Bootstrap Methods in Statistics." Jahresberichtr der Deutschen Mathematiker Vereiningung 86:14-30.
8 Cho, Joong Jae, Park, Byoung Sun, and Kim, Ju Sung. 1999. "Better Nonparametric Bootstrap Confidence Intervals for Capability Index $C_{pk}$." The Korean Journal of Applied Statistics 12(1):45-65.   과학기술학회마을
9 Cho, Joong Jae, Park, Byoung Sun, and Park, Hyo-il. 2004. "Better Confidence Limits for Process Capability Index $C_{pmk}$ under the assumption of Normal Process." Journal of the Korean Society for Quality Management 32(4):229-241.   과학기술학회마을
10 Diciccio, Thomas, and Tibshirani, Robert. 1987. "Bootstrap Confidence Intervals and Bootstrap Approximations." Journal of the American Statistical Association 82:163-170.   DOI   ScienceOn
11 Efron, Bradley. 1979. "Bootstrap Methods: Another look at the Jackknife." Annals of Statistics 7(1):1-26.   DOI   ScienceOn
12 Efron, Bradley, and Tibshirani, Robert. 1993. An Introduction to the Bootstrap. Chapman & Hall.
13 Franklin, LeRoy, and Wasserman, Gray. 1991. "Bootstrap Confidence Interval Estimate of $C_{pk}$: An Introduction." Communications in Statistics-Simulation and Computation 20(1):231-242   DOI   ScienceOn
14 Franklin, LeRoy, and Wasserman, Gray. 1992. "Bootstrap Lower Confidence Interval Limits for Capability Indices." Journal of Quality Technology 24:196-210.   DOI
15 Cho, Joong Jae, Park, Byoung Sun, and Jo, See Heyon. 1996. "Bootstrapping a Unified Process Capability Index." Journal of the Korean Statistical Society 26(4):543-554.   과학기술학회마을