A New Procedure to Monitor the Mean of a Quality Characteristic
AbstractThe Shewhart, Bonferroni-adjustment and analysis of means (ANOM) control chart are typically applied to monitor the mean of a quality characteristic. The Shewhart and Bonferroni procedure are utilized to recognize special causes in production process, where the control limits are constructed by assuming normal distribution for known parameters (mean and standard deviation), and approximately normal distribution regarding to unknown parameters. The ANOM method is an alternative to the analysis of variance method. It can be used to establish the mean control charts by applying equicorrelated multivariate non-central t distribution. In this paper, we establish new control charts, in phases I and II monitoring, based on normal and t distributions having as a cause a known (or unknown) parameter (standard deviation). Our proposed methods are at least as effective as the classical Shewhart methods and have some advantages.
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Bibliographic InfoPaper provided by University Library of Munich, Germany in its series MPRA Paper with number 9066.
Date of creation: 2008
Date of revision:
Shewhart; Bonferroni-adjustment; Analysis of means; Average run length; False alarm probability;
Find related papers by JEL classification:
- C10 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - General
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- Maravelakis, Petros & Panaretos, John & Psarakis, Stelios, 2002. "Effect of Estimation of the Process Parameters on the Control Limits of the Univariate Control Charts for Process Dispersion," MPRA Paper 6386, University Library of Munich, Germany.
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