On constructingT2control charts for retrospective examination
作者:
Gunabushanam Nedumaran,
Joseph J. Pignatiello,
期刊:
Communications in Statistics - Simulation and Computation
(Taylor Available online 2000)
卷期:
Volume 29,
issue 2
页码: 621-632
ISSN:0361-0918
年代: 2000
DOI:10.1080/03610910008813631
出版商: Marcel Dekker, Inc.
关键词: statistical process control;multivariate process;x2control charts;Hotelling'sT2;∂-type statistic;false alarm;Type I error;Bonferroni adjustment;Monte Carlo simulation
数据来源: Taylor
摘要:
In this paper we consider the issue of constructing retrospectiveT2control chart limits so as to control the overall probability of a false alarm at a specified value. We describe an exact method for constructing the control limits for retrospective examination. We then consider Bonferroni-adjustments to Alt's control limit and to the standardx2control limit as alternatives to the exact limit since it is computationally cumbersome to find the exact limit. We present the results of some simulation experiments that are carried out to compare the performance of these control limits. The results indicate that the Bonferroni-adjusted Alt's control limit performs better that the Bonferroni-adjustedx2control limit. Furthermore, it appears that the Bonferroni-adjusted Alt's control limit is more than adequate for controlling the overall false alarm probability at a specified value.
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