Constructing BCa bootstrap confidence interval for the difference between two non-normal process capability indices CNpmk

Quality Engineering

Volumn 20, Issue 2, 2008, Pages 209-220

  Tong, Lee Ing ^a   Chen, Hsi Tien ^b   Tai, Yu Fang ^a  

^a NATIONAL CHIAO TUNG UNIVERSITY   (Taiwan)

^b CHANG JUNG CHRISTIAN UNIVERSITY   (Taiwan)

Author keywords

Bootstrap simulation method; Confidence interval; Non normal distribution; Process capability index

Indexed keywords

COMPUTER SIMULATION; NORMAL DISTRIBUTION; PROCESS CONTROL; QUALITY ASSURANCE;

BOOTSTRAP SIMULATION METHOD; PROCESS CAPABILITY INDEX; PRODUCT QUALITY;

PRODUCT DEVELOPMENT;

EID: 42649117060     PISSN: 08982112     EISSN: 15324222     Source Type: Journal    
DOI: 10.1080/08982110701724348     Document Type: Article

References (22)

1. pm. International Journal of Quality and Reliability Management, 19:89, pp. 1088-1097.
2. Bissell, A. F. (1990) How reliable is your capability index?. Applied Statistics, 39, pp. 331-340.
3. Boyles, R. A. (1991) The Taguchi capability index. Journal of Quality Technology, 23:1, pp. 17-26.
4. Chan, L. K., Cheng, S. W. and Spiring, F. A. (1988) A new measure of process capability: Cpm. Journal of Quality Technology, 20:3, pp. 162-175.
5. Chou, Y., Owen, D. B. and Borrego, S. A. (1990) Lower confidence limits on process capability indices. Journal of Quality Technology, 22, pp. 223-229.
6. Efron, B. (1979) Bootstrap methods: Another look at the jackknife. The Annals of Statistics, 7, pp. 1-26.
7. Efron, B. (1981) Non-parameter estimates of standard error: The jackknife, the bootstrap and other sampling methods. Biometrika, 68, pp. 589-599.
8. Efron, B. (1982)
9. Efron, B. (1987) Better bootstrap confidence intervals. Journal of the American Statistical Association, 82, pp. 171-200.
10. Efron, B. and Gong, G. (1983) A leisurely look at the bootstrap, the jackknife, and cross-validation. The American Statistician, 37, pp. 36-48.
11. Efron, B. and Tibshirani, R. J. (1986) Bootstrap methods for standard errors, confidence intervals, and other measures of statistical accuracy. Statistical Science, 1, pp. 54-77.
12. Efron, B. and Tibshirani, R. J. (1993) An Introduction to the Bootstrap, New York: Chapman & Hall.
13. Franklin, L. A. and Wasserman, G. (1991) Bootstrap confidence interval estimates of Cpk: An introduction. Communications in Statistics-Simulation and Computation, 20, pp. 231-242.
14. Franklin, L. A. and Wasserman, G. (1992) A note on the conservative nature of the tables of lower confidence limits for Cpk with a suggested correction. Communications in Statistics-Simulation and Computation, 21:4, pp. 926-932.
15. Franklin, L. A. and Wasserman, G. (1992) Bootstrap lower confidence limits for capability indices. Journal of Quality Technology, 24:4, pp. 196-210.
16. Gunter, B. H. (1989) The use and abuse of Cpk, parts 1-4. Quality Progress, 22:1, pp. 72-73.
17. Johnson, N. L., Kotz, S. and Pearn, W. L. (1994) Flexible process capability indices. Pakistan Journal of Statistics, 10:1, pp. 23-31.
18. Kane, V. E. (1986) Process capability indices. Journal of Quality Technology, 18:1, pp. 41-52.
19. Pearn, W. L. and 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, pp. 139-145.
20. Pearn, W. L., Kotz, S. and Johnson, N. L. (1992) Distributional and inferential properties of process capability indices. Journal of Quality Technology, 24, pp. 216-231.
21. Tong, L. I. and Chen, J. P. (1998) Lower confidence limits of process capability indices for non-normal process distributions. International Journal of Quality and Reliability Management, 15:89, pp. 907-919.
22. Wallgren, E. (1996) University of Örebro, Sweden