The exact u chart can be obtained using simple adjustments
The u chart for monitoring [lambda], the average number of defects per inspection unit, requires [lambda] to be large to have positive lower control limits, and the false alarm probabilities differ considerably from the nominal normal values. Based on nonlinear transformations, some alternative charts, such as the chart, can achieve large improvement over the u chart. We show in this paper that with very simple adjustments to the control limits of the u chart, one can achieve equal or even better improvement while still working on the original scale. In particular, using the very simple adjustments is equivalent to using the exact Poisson distribution to design a chart. Some guidelines for choosing an appropriate chart are given.
Year of publication: |
1998
|
---|---|
Authors: | Chen, Gemai ; Cheng, Smiley W. |
Published in: |
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 37.1998, 4, p. 357-365
|
Publisher: |
Elsevier |
Subject: | Normal approximation Transformation Cornish-Fisher expansion |
Saved in:
Online Resource
Saved in favorites
Similar items by person
-
ARTICLES - Monitoring Process Mean and Variability With One EWMA Chart
Chen, Gemai, (2001)
-
An algorithm to obtain the critical values of the t, [chi]2 and F distributions
Cheng, Smiley W., (1983)
-
Hypothesis testing of the location and scale parameters using order statistics
Cheng, Smiley W., (1984)
- More ...