Premium
On the effectiveness of the unit sample size for standard control charts: ARL VS. Aurl
Author(s) -
Snow Jeffrey M.,
Usher John S.,
Stuckman Bruce E.
Publication year - 1992
Publication title -
quality and reliability engineering international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 62
eISSN - 1099-1638
pISSN - 0748-8017
DOI - 10.1002/qre.4680080206
Subject(s) - cusum , control chart , shewhart individuals control chart , statistics , ewma chart , sample size determination , x bar chart , \bar x and r chart , chart , statistical process control , computer science , sample (material) , mathematics , process (computing) , chemistry , chromatography , operating system
In this paper we investigate the use of the average unit run length (AURL) as an important measure of the effectiveness of various quality control charting schemes. In particular we focus on its appropriateness for normally distributed processes that tend to produce units (or measurements) at slow rates. In our investigations with the standard Shewhart X̄ and R charts, as well as the CUSUM chart, AURL shows that a sample size of n =1 can yield the fastest means of detecting shifts.