Constructing BCa Bootstrap Confidence Interval for the Difference between Two Non-normal Process Capability Indices C_Npmk

REFERENCES

• Balamurali , S. , Kalyanasundaram , M. ( 2002 ). Bootstrap lower confidence limits for the process capability indices C p , C pk and C pm . International Journal of Quality and Reliability Management , 19 ( 8/9 ): 1088 – 1097 .
   Google Scholar
• Bissell , A. F. ( 1990 ). How reliable is your capability index? Applied Statistics , 39 : 331 – 340 .
   Web of Science ®Google Scholar
• Boyles , R. A. ( 1991 ). The Taguchi capability index . Journal of Quality Technology , 23 ( 1 ): 17 – 26 .
   Web of Science ®Google Scholar
• Chan , L. K. , Cheng , S. W. , Spiring , F. A. ( 1988 ). A new measure of process capability: Cpm . Journal of Quality Technology , 20 ( 3 ): 162 – 175 .
   Web of Science ®Google Scholar
• Chou , Y. , Owen , D. B. , Borrego , S. A. ( 1990 ). Lower confidence limits on process capability indices . Journal of Quality Technology , 22 : 223 – 229 .
   Web of Science ®Google Scholar
• Efron , B. ( 1979 ). Bootstrap methods: Another look at the jackknife . The Annals of Statistics , 7 : 1 – 26 .
   Web of Science ®Google Scholar
• Efron , B. ( 1981 ). Non-parameter estimates of standard error: The jackknife, the bootstrap and other sampling methods . Biometrika , 68 : 589 – 599 .
   Web of Science ®Google Scholar
• Efron , B. ( 1982 ). The jackknife, the bootstrap and other resampling plans . Soc. Ind. Appl. Math. CMBS-Natl. Sci. Found. Monog. 38
   Google Scholar
• Efron , B. ( 1987 ). Better bootstrap confidence intervals . Journal of the American Statistical Association , 82 : 171 – 200 .
   Web of Science ®Google Scholar
• Efron , B. , Gong , G. ( 1983 ). A leisurely look at the bootstrap, the jackknife, and cross-validation . The American Statistician , 37 : 36 – 48 .
   Web of Science ®Google Scholar
• Efron , B. , Tibshirani , R. J. ( 1986 ). Bootstrap methods for standard errors, confidence intervals, and other measures of statistical accuracy . Statistical Science , 1 : 54 – 77 .
   Google Scholar
• Efron , B. , Tibshirani , R. J. ( 1993 ). An Introduction to the Bootstrap . New York: Chapman & Hall.
   Google Scholar
• Franklin , L. A. , Wasserman , G. ( 1991 ). Bootstrap confidence interval estimates of C pk : An introduction . Communications in Statistics–Simulation and Computation , 20 : 231 – 242 .
   Web of Science ®Google Scholar
• Franklin , L. A. , Wasserman , G. ( 1992a ). A note on the conservative nature of the tables of lower confidence limits for C pk with a suggested correction . Communications in Statistics–Simulation and Computation , 21 ( 4 ): 926 – 932 .
   Web of Science ®Google Scholar
• Franklin , L. A. , Wasserman , G. ( 1992b ). Bootstrap lower confidence limits for capability indices . Journal of Quality Technology , 24 ( 4 ): 196 – 210 .
   Web of Science ®Google Scholar
• Gunter , B. H. ( 1989 ). The use and abuse of C pk , parts 1–4 . Quality Progress , 22 ( 1 ): 72 – 73 ; 22(3):108–109; 22(5):79–80; 22(7):86–87 .
   Google Scholar
• Johnson , N. L. , Kotz , S. , Pearn , W. L. ( 1994 ). Flexible process capability indices . Pakistan Journal of Statistics , 10 ( 1A ): 23 – 31 .
   Google Scholar
• Kane , V. E. ( 1986 ). Process capability indices . Journal of Quality Technology , 18 ( 1 ): 41 – 52 .
   Web of Science ®Google Scholar
• Pearn , W. L. , Kotz , S. ( 1994 ). Application of Clements' method for calculating second- and third-generation process capability indices for non-normal Pearsonian populations . Quality Engineering , 7 ( 1 ): 139 – 145 .
   Google Scholar
• Pearn , W. L. , Kotz , S. , Johnson , N. L. ( 1992 ). Distributional and inferential properties of process capability indices . Journal of Quality Technology , 24 : 216 – 231 .
   Web of Science ®Google Scholar
• Tong , L. I. , Chen , J. P. ( 1998 ). Lower confidence limits of process capability indices for non-normal process distributions . International Journal of Quality and Reliability Management , 15 ( 8/9 ): 907 – 919 .
   Google Scholar
• Wallgren , E. ( 1996 ). Properties of the Taguchi capability index for Markov dependent quality characteristics . University of Örebro , Sweden .
   Google Scholar