Process capability analysis and estimation scheme for autocorrelated data

Jing Sun , Shengxian Wang , Zhihui Fu

Journal of Systems Science and Systems Engineering ›› 2010, Vol. 19 ›› Issue (1) : 105 -127.

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Journal of Systems Science and Systems Engineering ›› 2010, Vol. 19 ›› Issue (1) : 105 -127. DOI: 10.1007/s11518-010-5127-9
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Process capability analysis and estimation scheme for autocorrelated data

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Abstract

Autocorrelation is prevalent in continuous production processes, such as the processes in the chemical and pharmaceutical industries. With the development of measurement technology and data acquisition technology, sampling frequency is getting higher and the existence of autocorrelation cannot be ignored. This paper analyzes five estimation schemes of process capability for autocorrelated data. Comparisons among these schemes are discussed for small sample and large sample. In conclusion, this paper gives a procedure of process capability analysis for autocorrelated data.

Keywords

Autocorrelation / estimation / process capability analysis / statistical process control

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Jing Sun, Shengxian Wang, Zhihui Fu. Process capability analysis and estimation scheme for autocorrelated data. Journal of Systems Science and Systems Engineering, 2010, 19(1): 105-127 DOI:10.1007/s11518-010-5127-9

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References

[1]

Apley D.W., Tsung F.. The autoregressive T 2 chart for monitoring univariate autocorrelated processes. Journal of Quality Technology, 2002, 34(1): 80-96.

[2]

Barnett N.S.. Process control and product quality: the C p and C pk revisited. International Journal of Quality and Reliability Management, 1990, 7(5): 34-43.

[3]

Box G.E.P., Jenkins G.M., Reinsel G.C.. Time Series Analysis: Forecasting can Control, 1994, Englewood Cliffs, NJ: Prentice Hall

[4]

Chan L.K., Cheng S.W., Spiring F.A.. A new measure of process capability: C pm. Journal of Quality Technology, 1988, 20(3): 162-175.

[5]

Erik W.. Joachim H., Theodor P.. Confidence limits for the process capability index C pk for autocorrelated quality characteristics. Frontiers in Statistical Quality Control 6, 2001, Wü rzburg, Germany: Baker & Taylor Books

[6]

Guevara R.D., Vargas J.A.. Comparison of process capability indices under autocorrelated data. Revista Colombiana de Estadí stica, 2007, 30: 301-316.

[7]

He S.. Applied Time Series Analysis, 2003, Beijing: Peking University Press

[8]

Hsiang, T.C. & Taguchi, G. (1985). A tutorial on quality control and assurance - the Taguchi methods. ASA Annual Meeting, Las Vegas, Nevada, 1985

[9]

Kane, V.E. Process capability indices. Journal of Quality Technology, 18 (1): 41–52

[10]

Kotz S., Johnson N.L.. Process Capability Indices, 1993, London: Chapman&Hall

[11]

Kotz S., Johnson N.L.. Delicate relations among the basic process capability indices C p, C pk, C pm and their modifications. Communications Statistics - Theory and Method, 1999, 28(3): 849-861.

[12]

Runger G.C., Willemain T.R.. Model-based and model-free control of autocorrelated process. Journal of Quality Technology, 1995, 27(4): 283-292.

[13]

Runger G.C., Willemain T.R.. Batch-means control charts for autocorrelated data. IIE Transactions, 1995, 28(6): 483.

[14]

Scagliarini M.. Estimation of C p for autocorrelated data and measurement errors. Communications in Statistics - Theory and Methods, 2002, 31(9): 1647-1664.

[15]

Shore H.. Process capability analysis when data are autocorrelated. Quality Engineering, 1997, 9(4): 615-626.

[16]

Sun, J., Wang, S.X. & Fu, Z. (2009). Comparison of process capability indices and process performance indices. In: Proceedings of the 8th Korea-China Quality Symposium, Pusan, Korea, 2009

[17]

Wang S.X., Sun J.. Comparison of process capability index and process performance index based on individual observations. Journal of Tsinghua University (Science and Technology), 2006, 46(12): 2049-2052.

[18]

Zhang N.F.. Estimating process capability indexes for autocorrelated data. Journal of Applied Statistics, 1998, 25(4): 559-574.

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