Impact of multivariate normality assumption on multivariate process capability indices

References

• Boyles, R. A. 1994. “Process Capability with Asymmetric Tolerances.” Communications in Statistics – Simulation and Computation, 23 (3):162–175. doi: 10.1080/03610919408813190.
   Web of Science ®Google Scholar
• Chatterjee, M., and A. K.Chakraborty. 2011. “Superstructure of Multivariate Process Capability Indices for Asymmetric Tolerances.” In Proceedings of International Congress on Productivity, Quality, Reliability, Optimization and Modelling, edited by S. S. Handa, C. Umashankar, and A. K. Chakraborty, Vol. 1, 635–647, New Delhi, India: Allied Publishers Pvt Ltd.
   Google Scholar
• Chakraborty, A. K., and M. Chatterjee. 2016. “Univariate and Multivariate Process Capability Analysis for Different Types of Specification Limits.” In Quality and Reliability Management and Its Applications, edited by H. Pham, 47–81. London: Springer.
   Google Scholar
• Chatterjee, M., and A. K. Chakraborty. 2014. “Exact Relationship of Cpk″ with Proportion of Non-conformance and Some Other Properties of Cp″(u,v) .” Quality and Reliability Engineering International 30 (7):1023–1034. doi: 10.1002/qre.1530.
   Google Scholar
• Chatterjee, M., and A. K. Chakraborty, 2015. “A Super-structure of Processcapability Indices for Circular Specification Region.” Communications in Statistics – Theory and Methods 44 (6):1158–1181. doi: 10.1080/03610926.2012.763095.
   Web of Science ®Google Scholar
• Chatterjee, M., and A. K. Chakraborty, 2017. “Unification of Some Multivariate Process Capability Indices for Asymmetric Specification Region.” Statistica Neerlandica 71 (4):286–306. doi: 10.1111/stan.12112.
   Web of Science ®Google Scholar
• Chen, H. 1994. “A Multivariate Process Capability Index Over A Rectangular Solid Tolerance Zone.” Statistica Sinica, 4 (2):749–758.
   Web of Science ®Google Scholar
• Chen, K. S., and W. L. Pearn. 2001. “Capability Indices For Process With Asymmetric Tolerances.” Journal of The Chinese Institute of Engineers 24 (5):559–568. doi: 10.1080/02533839.2001.9670652.
   Web of Science ®Google Scholar
• Chen, K. S., W. L. Pearn, and P. C. Lin. 2003. “Capability Measures for Processes With Multiple Characteristics.” Quality and Reliability Engineering International. 19:101–110. doi: 10.1002/qre.513.
   Web of Science ®Google Scholar
• Ciupke, K. “Multivariate Process Capability Vector Based on One-sided Model. (2015).” Quality and Reliability Engineering International 31 (2):313–327. doi: 10.1002/qre.1590.
   Web of Science ®Google Scholar
• Goethals, P. L., and B. R. Cho. 2011. “The Development of a Target Focused Process Capability Index With Multiple Characteristics.” Quality and Reliability Engineering International 27:297–311. doi: 10.1002/qre.1120.
   Web of Science ®Google Scholar
• Gonzalez, I., and I. Sanchez. 2009. “Capability Indices and Nonconforming Proportion in Univariate and Multivariate Processes.” International Journal of Advanced Manufacturing Technology 44:1036–1050.
   Web of Science ®Google Scholar
• Han, C. -P. 2006. “Effect of Testing Normality on Estimating Process Capability Indices.” Quality Engineering 18:391–395. doi: 10.1080/08982110600719514.
   Google Scholar
• Johnson, R. A., and D. W. Wicharn, 2013. Applied Multivriate Statistical Analysis. New Jersey: Pearson.
   Google Scholar
• Kotz, S., and N. Johnson. 2002. “Process Capability Indices – A Review, 1992–2000”. Journal of Quality Technology 34 (1):2–19. doi: 10.1080/00224065.2002.11980119.
   Web of Science ®Google Scholar
• Luceno, A. 1996. “A Process Capability Index with Reliable Confidence Intervals.” Communications in Statistics–Simulation and Computation 25:235–245.
   Web of Science ®Google Scholar
• Montgomery, D. C., and G. C. Runger. 2013. Applied Statistics and Probability for Engineers. New Jersey: Wiley, 6e.
   Google Scholar
• Pan, J-N., and S-C. Chen. 2012. “A New Approach for Assessing the Correlated Risk.” Industrial Management and Data Systems 112 (9):1348–1365. doi: 10.1108/02635571211278965.
   Web of Science ®Google Scholar
• Pan, J-N., and C-Y. Lee. 2010. “New Capability Indices for Evaluating the Performance of Multivariate Manufacturing Processes.” Quality and Reliability Engineering International 26:3–15. doi: 10.1002/qre.1024.
   Web of Science ®Google Scholar
• Pearn, W.L., S. Kotz. 2007. Encyclopedia and Handbook of Process Capability Indices – Series on Quality, Reliability and Engineering Statistics. Singapore: World Scientific.
   Google Scholar
• Pearn, W. L., F. K. Wang, and C. H. Yen. 2006. “Measuring production Yield for Processes with Multiple Quality Characteristics.” International Journal of Production Research 44 (21):4649–4661. doi: 10.1080/00207540600589119.
   Web of Science ®Google Scholar
• Pearn, W. L., F. K. Wang, and C. H. Yen. 2007. “Multivariate Capability Indices: Distributional and Inferential Properties.” Journal of Applied Statistics 34 (8):941–962. doi: 10.1080/02664760701590475.
   Web of Science ®Google Scholar
• Pignatiello, J. J. 1993. “Strategies for Robust Multiresponse Quality Engineering.” IIE Transactions 25 (3):5–15. doi: 10.1080/07408179308964286.
   Web of Science ®Google Scholar
• Polansky, A. M. 2001. “A Smooth Non-parametric Approach to Multivariate Process Capability.” Technometrics 43 (2):199–211. doi: 10.1198/004017001750386314.
   Web of Science ®Google Scholar
• Shahriari, H., M. Abdollahzadeh. 2009. “A New Multivariate Process Capability Vector.” Quality Engineering 21 (3):290–299. doi: 10.1080/08982110902873605.
   Web of Science ®Google Scholar
• Shahriari, H., N. F. Hubele, and F. P. Lawrence. 1995. “A Multivariate Process Capability Vector.” Proceeding of the 4th Industrial Engineering Research Conference, Institute of Industrial Engineers, Georgia, 304–309.
   Google Scholar
• Shishebori, D., and A. Z. Hamadani. 2008. Multivariate Capability Index (MCp) with Presence of Gauge Measurement Errors.” Paper presented at the 4th International conference on wireless communications, network and mobile computing, Dalian, China, 1–4.
   Google Scholar
• Sultan, T. L. 1986. “An Acceptance Chart for Raw Materials of Two Correlated Properties.” Quality Assurance, 12:70–72.
   Google Scholar
• Taam, W., P. Subbaiah, and J. W. Liddy. 1993. “A Note on Multivariate Capability Indices.” Journal of Applied Statistics 20:339–351. doi: 10.1080/02664769300000035.
   Google Scholar
• Tano, I., and K. Vannman. 2013. “A Multivariate Process Capability IndexBased on the First Principal Component Only.” Quality and Reliability Engineering International, 29:987–1003. doi: 10.1002/qre.1451.
   Web of Science ®Google Scholar
• Wang, F. K., J. C. Chen. 1998. “Capability Index Using Principal Component Analysis.” Quality Engineering 11 (1):21–27. doi: 10.1080/08982119808919208.
   Google Scholar
• Wang, F. K., and T. C. T. Du. 2000. Using principal component analysis in process performance for multivariate data. Omega, 28, pp. 185 - 194. doi: 10.1016/S0305-0483(99)00036-5.
   Web of Science ®Google Scholar
• Wang, F. K., N. F. Hubele, F. P. Lawrence, J. O. Miskulin, and H. Shariari. 2000. Comparison of Three Multivariate Process Capability Indices. Journal of Quality Technology 32:263–275. doi: 10.1080/00224065.2000.11980002.
   Web of Science ®Google Scholar