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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