Smiley W. Cheng 1 and Hansheng Xie1
1Department of Statistics, University of Manitoba, Winnipeg, Manitoba, Canada R3T 2N2
Received:
March 1, 2000
Accepted:
September 1, 2000
Publication Date:
September 1, 2000
Download Citation:
||https://doi.org/10.6180/jase.2000.3.3.02
ABSTRACT
In dealing with positively-skewed distributed data, the direct logarithmic transformation may result in a control chart with inappropriate control parameters in the application of quality control. When a specific interval for the lognormal mean is given, a new method is introduced to set up two control charts and these two charts can monitor a process for which the underlying distribution of the quality characteristic is lognormal.
Keywords:
lognormal distribution, control chart, quality control, mean, variance, normal distribution
REFERENCES
- [1] Ferrell, E. D., “Control Charts for Lognormal Universe,” Industrial Quality Control, V. 15, pp. 4-6 (1958).
- [2] Morrison, J. , “The Lognormal Distribution in Quality Control,” Applied Statistics, V. 7, pp. 160-172 (1958).
- [3] Xie, H., Contributions to Qualimetry. Ph.D. dissertation, University of Manitoba, Winnipeg, Canada, (1999).