Optimal limits for attributes control charts

Journal of Quality Technology

Volumn 29, Issue 1, 1997, Pages 86-98

  Ryan, Thomas P ^a,c,d   Schwertman, Neil C ^b,e  

^a CASE WESTERN RESERVE UNIVERSITY   (United States)

^b CALIFORNIA STATE UNIVERSITY   (United States)

^c Statistical Consulting Laboratory   (United States)

^d ASQC Headquarters   (United States)

^e Dept of Mathematics and Statistics ^*

Author keywords

Attributes Control Charts; Optimal Control Limits

Indexed keywords

APPROXIMATION THEORY; INTERPOLATION; OPTIMAL CONTROL SYSTEMS; PROBABILITY; REGRESSION ANALYSIS;

ATTRIBUTES CONTROL CHARTS; OPTIMAL LIMITS; REGRESSION EQUATIONS;

STATISTICAL PROCESS CONTROL;

EID: 0030862214     PISSN: 00224065     EISSN: None     Source Type: Journal    
DOI: 10.1080/00224065.1997.11979728     Document Type: Article

References (25)

1. ANSCOMBE, F. J. (1948). "The Transformation of Poisson, Binomial, and Negative Binomial Data". Biometrika 35, pp. 246-254.
2. BESTERFIELD, D. H. (1979). Quality Control. Prentice-Hall, Englewood Cliffs, NJ.
3. FREEMAN, M. F. and TUKEY, J. W. (1950). "Transformations Related to the Angular and the Square Root". Annals of Mathematical Statistics 21, pp. 607-611.
4. FRIEDMAN, D. J. (1993). "Some Considerations in the Use of Quality Control Techniques in Integrated Circuit Fabrication". International Statistical Review 61, pp. 97-107.
5. GHOSH, B. K.; REYNOLDS, M. R. JR.; and VAN HUI, Y. (1981). "Shewhart X̄ Charts with Estimated Process Variance". Communications in Statistics - Theory and Methods 10, pp. 1797-1822.
6. HAWKINS, D. M. (1987). "Self-starting CUSUMs for Location and Scale". The Statistician 36, pp. 299-316.
7. IMSL, INC. (1989). IMSL STAT/Library, Version 1.1. Houston, TX.
8. MINITAB (1994). Minitab Release 10 for Windows. Minitab, State College, PA.
9. MOLENAAR, W. (1973). Approximations to the Poisson, Binomial and Hypergeometric Distribution Functions. Mathematisch Centrum, Amsterdam.
10. NELSON, L. S. (1994). "A Control Chart for Parts per Million Nonconforming Items". Journal of Quality Technology 26, pp. 239-240.
11. O'CAMPO, P. (1995). Personal communication.
12. PRATT, J. W. (1968). "A Normal Approximation for Binomial, F, Beta, and Other Common, Related Tail Probabilities, II. Journal of the American Statistical Association 63, pp. 1457-1483.
13. QUARSHIE, L. B. and SHINDO, H. (1995). "A Control Chart for Attributes and its Applications". ASQC Quality Congress Transactions. American Society for Quality Control. Milwaukee, WI. pp. 378-388.
14. Quesenberry, C. P. (1991a). "SPC Q Charts for Start-up Processes and Short and Long Runs". Journal of Quality Technology 23, pp. 213-224.
15. QUESENBERRY, C. P. (1991b). "SPC Q Charts for a Binomial Parameter: Short or Long Runs". Journal of Quality Technology 23, pp. 239-246.
16. QUESENBERRY, C. P. (1991c). "SPC Q Charts for a Poisson Parameter λ: Short or Long Runs". Journal of Quality Technology 23, pp. 296-303.
17. QUESENBERRY, C. P. (1993). "The Effect of Sample Size on Estimated Limits for X̄ and X Control Charts. Journal of Quality Technology 25, pp. 237-247.
18. ROCKE, D. M. (1990). "The Adjusted p Chart and u Chart for Varying Sample Sizes". Journal of Quality Technology 22, pp. 206-209.
19. RYAN, T. P. (1989). Statistical Methods for Quality Improvement. John Wiley &: Sons, New York, NY.
20. SAHAI, H. and KHURSHID, A. (1993). "Confidence Intervals for the Mean of a Poisson Distribution: A Review". Biometrical Journal 35, pp. 857-867.
21. SAHAI, H. and KHURSHID, A. (1994). "Confidence Intervals for the Probability of Success in the Binomial Distribution: A Review". Metron (To appear).
22. SCHADER, M. and SCHMID, F. (1989). "Two Rules of Thumb for the Approximation of the Binomial Distribution by the Normal Distribution". The American Statistician 43, pp. 23-24.
23. SCHWERTMAN, N. C. and MARTINEZ, R. A. (1994). "Approximate Poisson Confidence Limits". Communications in Statistics - Theory and Methods 23, pp. 1507-1529.
24. SCHWERTMAN, N. C. and RYAN, T. P. (1997). "Implementing Optimal Attributes Control Charts". Journal of Quality Technology 29, pp. 99-104.
25. SOFFER, S. B. (1981). "Transformed p Chart for Variable Sample Size". Journal of Quality Technology 13, pp. 189-191.