Basic process capability indices: An expository review

International Statistical Review

Volumn 76, Issue 3, 2008, Pages 347-367

  Anis, Mohammed Z ^a  

^a INDIAN STATISTICAL INSTITUTE   (India)

Author keywords

Autocorrelation; Measurement error; Nonnormality; Sample size; Skewed distributions

Indexed keywords

EID: 58149232754     PISSN: 03067734     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1751-5823.2008.00060.x     Document Type: Review

References (84)

1. Barnett, N.S. (1990). Process control and product quality. Int. J. Qual. Reliab. Manage., 7, 34-43.
2. Bordignon, S. & Scagliarini, M. (2002). Statistical analysis of process capability indices with measurement errors. Qual. Reliab. Eng. Int., 18, 321-332.
3. pm when measurement error is present. Qual. Reliab. Eng. Int., 22, 787-801.
4. Bothe, D.R. (2001). Measuring Process Capability. Cedarburg, WI: Landmark Publishing.
5. Bothe, D.R. (2002). Discussion. J. Qual. Technol., 34, 32-37.
6. Bothe, D.R. (2006). Assessing capability for hole location. Qual. Eng., 18, 325-331.
7. Boyles, R.A. (1991). The Taguchi capability index. J. Qual. Technol., 23, 17-26.
8. Bulba, E.A. & Ho, L.L. (2006). Capability index for relational functions: inferential procedures. Qual. Eng., 18, 69-77.
9. pm. J. Qual. Technol., 20(3), 162-175.
10. Chang, Y.S., Choi, I.S. & Bai, D.S. (2002). Process capability for skewed populations. Qual. Reliab. Eng. Int., 18, 383-393.
11. Charbonneau, H.C. & Webster, G.L. (1978). Industrial Quality Control. Englewood Cliffs, NJ: Prentice Hall, 112.
12. pmk. Commun. Stat. Theory. Methods., 24(5), 1279-1291.
13. Chou, Y.M. (1994). Selecting a better supplier by testing process capability indices. Qual. Eng., 6, 427-438.
14. Chou, Y.M., Owen, D.B. & Borrego, A.S.A. (1990). Lower confidence limits on process capability indices. J. Qual. Technol., 22(3), 223-229.
15. Chou, Y.M., Polansky, A.K. & Mason, R.L. (1998). Transforming non-normal data to normality in statistical process control. J. Qual. Technol., 30(2), 133-141.
16. Clements, J.A. (1989). Process capability calculations for non-normal distributions. Qual. Prog., 22(9), 95-100.
17. Crain, C.R. (1993). Process capability indices and customer-supplier relations. ASA Proc. Sect. Qual. Product., 156-158.
18. Daniels, L., Edgar, B., Burdick, R.K. & Hubele, N.F. (2005). Using confidence intervals to compare process capability indices. Qual. Eng., 17, 23-32.
19. Deleryd, M. & Vännman, K. (1999). Process capability plots-a quality improvement tool. Qual. Reliab. Eng. Int., 15, 213-227.
20. pm. Qual. Eng., 18, 79-88.
21. Ding, J. (2004). A method of estimating the process capability index from the first four moments of non-normal data. Qual. Reliab. Eng. Int., 20, 787-805.
22. English, J.R. & Taylor, G.D. (1993). Process capability analysis-a robustness study. Int. J. Prod. Res., 31, 1621-1635.
23. Feigenbaum, A.V (1951). Quality Control. New York: McGraw Hill.
24. Gill, M.S. (1990). Stalking six sigma. Business Month., January 1990, 42-46.
25. Gryna, F.M. (1988). Quality Control Handbook, 4th ed., Ed. J.M. Juran, pp. 14-16. New York: McGraw Hill.
26. pk. Qual. Prog., 22(3), 108-109.
27. pmk with gauge measurement errors. Qual. Reliab. Eng. Int., 23(5), 597-614.
28. Jagadeesh, R. & Babu, A.S. (1994). Process capability assessment with tool wear: an investigative study. Int. J. Qual. Reliab. Manage., 11, 51-62.
29. pm to squared error loss. J. Qual. Technol., 24, 211-215.
30. Juran, J.M. (1951). Quality Control Handbook, 1st ed., pp. 253-279; 404-409. New York: McGraw Hill.
31. Juran, J.M. (1962). Quality Control Handbook, 2nd ed., pp. 11-14; 11-27. New York: McGraw Hill.
32. Juran, J.M. & Gryna, F.M. (1980). Quality Planning and Analysis, 2nd ed., pp. 283-295. New York: McGraw Hill.
33. Kane, VE. (1986). Process capability indices. J. Qual. Technol., 18(1), 41-52.
34. Kokcherlakota, S., Kocherlakota, K. & Kirmani, S.N.A.U. (1992). Process capability indices under non-normality. Int. J. Math. Stat. Sci., 1(2), 175-210.
35. Kotz, S. & Johnson, N.L. (1993). Process Capability Indices. New York: Chapman and Hall.
36. pm and their modifications. Commun. Stat. - Comput. Simul., 28(3), 849-866.
37. Kotz, S. & Johnson, N.L. (2002). Process capability indices-a review, 1992-2000 (with discussions). J Qual. Technol., 34, 2-53.
38. Kotz, S. & Lovelace, C.R. (1998). Process Capability Indices in Theory and Practice. London: Arnold.
39. McCormark, D.W. Jr., Harris, I.R., Hurwitz, A.M. & Spagon, P.D. (2000). Capability indices for non-normal data. Qual. Eng., 12, 489-495.
40. McCoy, P.F. (1991). Using performance indexes to monitor production processes. Qual. Prog., 24(2), 49-55.
41. McNeese, W.H. & Klein, R.A. (1991-92). Measurement systems, sampling and process capability. Qual. Eng., 4(1), 21-39.
42. Marcucci, M.O. & Beazley, C.C. (1988). Capability indices: Process performance measures. ASQC Qual. Congr. Trans., 42, 516-523.
43. pk index to estimate the proportion of non-conforming items. Int. J. Prod. Res., 30, 2253-2263.
44. Mittag, H.J. (1997). Measurement error effects on the performance of process capability indices. Frontiers in Statistical Quality Control, Eds. H.J. Lenz & P.T. Wilrich, pp. 195-206. Heidelberg: Physica-Verlag.
45. Montgomery, D.C. (2001). Introduction to Statistical Quality Control, 4th ed. New York: John Wiley.
46. Munechika, M. (1992). Studies on process capability in machining processes. Rep. Stat. Appl. Res. JUSE, 39, 14-29.
47. Nagata, Y & Nagahata, H. (1992). Approximation formulas for the confidence intervals of process capability indices. Rep. Stat. Appl. Res. JUSE, 39(3), 15-29.
48. Nagata, Y & Nagahata, H. (1994). Appreciation formulas for the lower confidence limits of process capability indices. Okayama Econ. Rev., 25, 301-314.
49. Nahar, P.C., Hubele, N.F. & Zimmer, L.S. (2001). Assessment of a capability index sensitive to skewness. Qual. Reliab. Eng. Int., 17, 233-241.
50. Noorossana, R. (2002). Process capability analysis in the presence of autocorrelation. Qual. Reliab. Eng. Int., 18, 75-77.
51. Pal, S. (2005). Evaluation of non-normal process capability indices using generalized lambda distribution. Qual. Eng., 17, 77-85.
52. Palmer, K. & Tsui, K.L. (1999). A review and interpretations of process capability indices. Ann. Oper. Res., 87, 31-47.
53. Parlar, M. & Wesolowsky, G.O. (1999). Specification limits, capability indices and process centering in assembly manufacture. J. Qual. Technol., 31(3), 317-325.
54. Pearn, W.L. & Hsu, Y.C. (2007). Optimal tool replacement for processes with low fraction defective. Eur. J. Oper. Res., 180, 1116-1129.
55. Pearn, W.L. & Kotz, S. (2006). Encyclopedia and Handbook of Process Capability Indices. Singapore: World Scientific.
56. Pearn, W.L. & Liao, M.Y. (2006). One-sided process capability assessment in the presence of measurement errors. Qual. Reliab. Eng. Int., 22 771-785.
57. arn, W.L., Kotz, S. & Johnson, N.L. (1992). Distributional and inferential properties of process control indices. J. Qual. Technol., 24(4), 216-231.
58. Persijn, M. & Nuland, Y.V. (1996-97). Relation between measurement system capability and process capability. Qual. Eng., 9(1), 95-98.
59. Polansky, A.K., Chou, Y.M. & Mason, R.L. (1998). Estimating process capability indices for a truncated distribution. Qual. Eng., 11(2), 257-265.
60. Porter, L.J. & Oakland, J.S. (1991). Process capability indices-an overview of theory and practice. Qual. Reliab. Eng. Int., 7, 437-448.
61. Pyzdek, T. (1995). Why normal distributions aren't [all that normal]. Qual. Eng., 7, 769-777.
62. Ryan, T. (2000). Discussion on "Controversies and contradictions in statistical process control". J. Qual. Technol., 32, 367-369.
63. p for auto-correlated data and measurement errors. Commun. Stat. - Theory. Methods., 31, 1647-1664.
64. Schneider, H. & Pruett, J. (1995). Use of process capability indices in the supplier certification process. Qual. Eng., 8, 225-235.
65. k confidence bounds under batch effects. Advances in Stochastic Models for Reliability, Quality and Safety, Eds. W. Kahle, E. von Collani, J. Franz & U. Jensen, pp. 361-379. Boston: Birkhäuser.
66. Shewhart, W.A. (1931). Economic Control of Quality of Manufactured Products. New York: D. Van Nostrand.
67. Shore, H. (1997). Process capability analysis when data are autocorrelated. Qual. Eng., 9(4), 615-626.
68. Somerville, S.E. & Montgomery, D.C. (1996-97). Process capability indices and non-normal distributions. Qual. Eng., 9, 305-316.
69. Spiring, F.A. (1991). Assessing process capability in the presence of systematic assignable cause. J. Qual. Technol., 23(2), 125-134.
70. Spiring, F.A. (1995). Process capability: A total quality management tool. Total Qual. Manage., 6(1), 21-33.
71. Spiring, F., Leung, B., Cheng, S.W. & Yeung, A. (2003). A bibliography of process capability papers. Qual. Reliab. Eng. Int., 19, 445-460.
72. Sullivan, L.P. (1984). Reducing variability: A new approach to quality. Qual. Prog., 17(7), 15-21.
73. Sze, S.M. (1988). VLSI Technology, 2nd ed. New York: McGraw Hill.
74. Taguchi, G. (1986). Introduction to Quality Engineering. Tokyo: Asian Productivity Organization.
75. Taguchi, G. (1988). Introduction to Quality Engineering, Designing Quality into Products and Processes. Tokyo: Asian Productivity Organization.
76. Tang, L.C. & Than, S.E. (1999). Computing process capability indices for non-normal data: A review and comparative study. Qual. Reliab. Eng. Int., 15, 339-353.
77. Tsui, K.L. (1997). Interpretation of process capability indices and some alternatives. Qual. Eng., 9(4), 587-596.
78. Vännman, K. (2001). A graphical method to control process capability. Frontiers in Statistical Quality Control, Eds. H.J. Lenz & P.T.H. Wilrich, pp. 290-311. Physica: Heidelberg.
79. Vännman, K. (2005). The circular safety region: A useful graphical tool in capability analysis. Qual. Reliab. Eng. Int., 21, 529-538.
80. Wheeler, D.J. (1999). Beyond Capability Confusion. Knoxville: SPC Press.
81. Wright, P.A. (1995). A process capability index sensitive to skewness. J. Stat. Comput. Simul., 52, 195-203.
82. Wu, H.H. & Swain, J.J. (2001). A Monte Carlo comparison of capability indices when processes are non-normally distributed. Qual. Reliab. Eng. Int., 17, 219-231.
83. Zhang, N.F. (1998). Estimating process capability indexes for autocorrelated data. J. Appl. Stat., 25(4), 559-574.
84. pk Commun. Stat. - Theory. Methods., 19, 4455-470.