Evaluating capability of a process with ordinal responses

References

• Ahmad, S., M. Abdollahian, and P. Zeephongsekul. 2008. Process capability estimation for non-normal quality characteristics: A comparison of Clements, Burr and Box–Cox methods. ANZIAM Journal 49:642–65. doi:10.21914/anziamj.v49i0.357.
   Google Scholar
• Borges, W., and L. L. Ho. 2001. A fraction defective based capability index. Quality and Reliability Engineering International 17 (6):447–58. doi:10.1002/qre.438.
   Web of Science ®Google Scholar
• Chan, L. K., S. W. Cheng, and F. A. Spiring. 1988. A new measure of process capability: Cpm. Journal of Quality Technology 20 (3):162–75. doi:10.1080/00224065.1988.11979102.
   Web of Science ®Google Scholar
• Chen, J.-P., and K. S. Chen. 2004. Comparing the capability of two processes using Cpm. Journal of Quality Technology 36 (3):329–35.
   Web of Science ®Google Scholar
• Clements, J. A. 1989. Process capability calculations for non-normal distributions. Quality Progress 22:95–100.
   Google Scholar
• Farnum, N. R. 1996. Using Johnson curves to describe non-normal process data. Quality Engineering 9 (2):329–36. doi:10.1080/08982119608919049.
   Google Scholar
• Franceschini, F., M. Galetto, and M. Varetto. 2005. Ordered samples control charts for ordinal variables. Quality and Reliability Engineering International 21 (2):177–95. doi:10.1002/qre.614.
   Web of Science ®Google Scholar
• Franceschini, F., and D. Romano. 1999. Control chart for linguistic variables: A method based on the use of linguistic quantifiers. International Journal of Production Research 37 (16):3791–801. doi:10.1080/002075499190059.
   Web of Science ®Google Scholar
• Goswami, A., and H. N. Dutta. 2013. Some studies on normal and non-normal process capability indices. International Journal of Mathematics and Statistics Invention (IJMSI) 1 (2):31–40.
   Google Scholar
• Hsiang, T. C., and G. Taguchi. 1985. Tutorial on quality control and assurance – The Taguchi methods. Paper presented a the Joint Meeting of the American Statistical Association, Las Vegas, Nevada, August 5–8, p. 188.
   Google Scholar
• Hsieh, K. L., and L. I. Tong. 2006. Incorporating process capability index and quality loss function into analyzing process capability for qualitative data. The International Journal of Advanced Manufacturing Technology 27 (11-12):1217–22. doi:10.1007/s00170-004-2314-1.
   Web of Science ®Google Scholar
• Juran, J. M. 1974. Quality control handbook. 3rd ed. New York: McGraw-Hill.
   Google Scholar
• Kane, V. E. 1986. Process capability indices. Journal of Quality Technology 18 (1):41–52. doi:10.1080/00224065.1986.11978984.
   Web of Science ®Google Scholar
• Kotz, S., and N. L. Johnson. 1993. Process capability indices. London: Chapman and Hall.
   Google Scholar
• Kotz, S., and N. L. Johnson. 2002. Process capability indices - A review. Journal of Quality Technology 34 (1):2–19. doi:10.1080/00224065.2002.11980119.
   Web of Science ®Google Scholar
• Kotz, S., and C. R. Lovelace. 1998. Process capability indices in theory and practice. New York: Arnold Publishers.
   Google Scholar
• Li, J., F. Tsung, and C. Zou. 2014. A simple categorical chart for detecting location shifts with ordinal information. International Journal of Production Research 52 (2):550–62. doi:10.1080/00207543.2013.838329.
   Web of Science ®Google Scholar
• Maiti, S. S., M. Saha, and A. K. Nanda. 2010. On generalizing process capability indices. Quality Technology & Quantitative Management 7 (3):279–300. doi:10.1080/16843703.2010.11673233.
   Web of Science ®Google Scholar
• Maravelakis, P. E. 2016. Process capability indices for data following the Poisson or binomial distribution. Quality Technology & Quantitative Management 13 (2):197–206. doi:10.1080/16843703.2016.1169688.
   Web of Science ®Google Scholar
• Marcucci, M. 1985. Monitoring multinomial processes. Journal of Quality Technology 17 (2):86–91. doi:10.1080/00224065.1985.11978941.
   Web of Science ®Google Scholar
• Nagata, Y., and H. Nagahata. 1994. Approximation formulas for the lower confidence limits of process capability indices. Okayama Economic Review 25 (4):301–14.
   Google Scholar
• Nelson, L. S. 1998. The Anderson-Darling test for normality. Journal of Quality Technology 30 (3):298–9. doi:10.1080/00224065.1998.11979858.
   Web of Science ®Google Scholar
• Pearn, W. L., and K. S. Chen. 1995. Estimating process capability indices for non-normal Pearsonian populations. Quality and Reliability Engineering International 11 (5):386–91. doi:10.1002/qre.4680110510.
   Web of Science ®Google Scholar
• Pearn, W. L., and S. Kotz. 1994. Application of Clements' method for calculating second- and third-generation process capability indices for non-normal Pearsonian populations. Quality Engineering 7 (1):139–45. doi:10.1080/08982119408918772.
   Google Scholar
• Pearn, W. L., S. Kotz, and N. L. Johnson. 1992. Distributional and inferential properties of process capability indices. Journal of Quality Technology 24 (4):216–31. doi:10.1080/00224065.1992.11979403.
   Web of Science ®Google Scholar
• Perakis, M., and E. Xekalaki. 2002. A process capability index that is based on the proportion of conformance. Journal of Statistical Computation and Simulation 72 (9):707–18. doi:10.1080/00949650214270.
   Web of Science ®Google Scholar
• Shapiro, S. S., and M. B. Wilk. 1965. An analysis of variance test for normality (complete samples). Biometrika 52 (3/4):591–611. doi:10.2307/2333709.
   Web of Science ®Google Scholar
• Tang, W., H. He, and X. M. Tu. 2012. Applied categorical and count data analysis. New York: CRC Press.
   Google Scholar
• Tucker, G. R., W. H. Woodall, and K. L. Tsui. 2002. A control chart method for ordinal data. American Journal of Mathematical and Management Sciences 22 (1-2):31–48. doi:10.1080/01966324.2002.10737574.
   Google Scholar
• Yeh, A. B., and S. Bhattcharya. 1998. A robust process capability index. Communications in Statistics - Simulation and Computation 27 (2):251–68. doi:10.1080/03610919808813495.
   Web of Science ®Google Scholar
• Yum, B. J., and K. W. Kim. 2011. A bibliography of the literature on process capability indices: 2000-2009. Quality and Reliability Engineering International 27 (3):251–68. doi:10.1002/qre.1115.
   Web of Science ®Google Scholar