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Control Chart Based on the Hodges-Lehmann Estimator

 

作者: AllowayJames A.,   RaghavachariM.,  

 

期刊: Journal of Quality Technology  (Taylor Available online 1991)
卷期: Volume 23, issue 4  

页码: 336-347

 

ISSN:0022-4065

 

年代: 1991

 

DOI:10.1080/00224065.1991.11979350

 

出版商: Taylor&Francis

 

关键词: Hodges-Lehmann Estimator;Nonparametric Control Chart;Walsh Averages;Wilcoxon Signed Rank Statistic

 

数据来源: Taylor

 

摘要:

A new variables control chart for location based on the Hodges-Lehmann estimator associated with the Wilcoxon signed rank statistic is presented. The proposed chart is nonparametric and hence maintains the nominal type I error specified. Calculations of control limits are simplified for certain conditions. The proposed approach compares favorably with the Shewhart control chart when the data are from a Gaussian distribution. Its performance is better than the traditional approach in the case of moderate sample sizes from long-tailed symmetric distributions. These properties make it well suited for early production runs of limited size when the distribution of the process statistic is unknown. The method may also be used to establish robust control limits.

 

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