A Nonparametric Procedure for Process Control Based on Within-Group Ranking
作者:
SaadT. Bakir,
MarionR. Reynolds,
期刊:
Technometrics
(Taylor Available online 1979)
卷期:
Volume 21,
issue 2
页码: 175-183
ISSN:0040-1706
年代: 1979
DOI:10.1080/00401706.1979.10489747
出版商: Taylor & Francis Group
关键词: Cumulative sum control charts;Process control;Wilcoxon signed rank statistic;Ranking within groups;Average run length;Markov chain;Nonparametric statistics
数据来源: Taylor
摘要:
A nonparametric procedure is developed for the problem of quickly detecting any shift in the mean of a sequence of observations from a specified control value. The proposed procedure is based on Wilcoxon signed-rank statistics where ranking is within groups. A cumulative sum control chart type stopping rule is used with the Wilcoxon statistics. Using a Markov chain approach, the average run length of the procedure can be computed exactly for any distribution for which the distribution of the Wilcoxon signed-rank statistic is known. The procedure has the same average run length for any continuous distribution which is symmetric about the control value.
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