The mean and standard deviation of the run length distribution of X̄ charts when control limits are estimated

Statistica Sinica

Volumn 7, Issue 3, 1997, Pages 789-798

  Chen, Gemai ^a  

^a UNIVERSITY OF REGINA   (Canada)

Author keywords

Average run length; Control chart; Standard deviation

Indexed keywords

EID: 0031510129     PISSN: 10170405     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (6)

1. Hillier, F. S. (1969). X̄ and R chart control limits based on a small number of subgroups. J. Quality Technology 1, 17-26.
2. Montgomery, D. C. (1991). Introduction to Statistical Quality Control. Second Edition, John Wiley, New York.
3. The NAG Fortran Library, Mark 16 (1994). The Numerical Algorithms Group Inc, 1400 Opus Place, Suite 200, Downers Grove, IL 60515, U.S.A.
4. Patnaik, P. B. (1950). The use of mean range as an estimator of variance in statistical tests. Biometrika 37, 78-87.
5. Proschan, F. and Savage, I. R. (1960). Starting a control chart. Indust. Quality Control 17, 12-13.
6. Quesenberry, C. P. (1993). The effect of sample size on estimated limits for X̄ and X control charts. J. Quality Technology 25, 237-247.