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SPCQCharts for a Binomial Parameterp: Short or Long Runs

 

作者: QuesenberryCharles P.,  

 

期刊: Journal of Quality Technology  (Taylor Available online 1991)
卷期: Volume 23, issue 3  

页码: 239-246

 

ISSN:0022-4065

 

年代: 1991

 

DOI:10.1080/00224065.1991.11979329

 

出版商: Taylor&Francis

 

关键词: Binomial Distribution;Control Charts;Short Runs

 

数据来源: Taylor

 

摘要:

Approximately normalized control charts, called Q charts, are proposed for charting a binomial random variable. Transformations are given for the two cases when the parameterpis known before charting is begun and when it is not known before charting is begun. These charts permit real-time charting essentially from the beginning of sampling and are especially useful for the case whenpis not known in advance. These charts are all plotted in a standard normal scale and permit a flexible chart management program. For the case whenpis assumed known, we present a table to compare the closeness of the control probabilities for these Q charts with those of the approximating normal distribution, and with those achieved by either classical 3-sigmapcharts or with charts based on a standardized arcsin transformation chart. These results show that Q charts give better approximations than the classicalpcharts to the nominal normal probabilities, and are comparable with, but differ from, the arcsin charts.

 

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