Kiani, Mehdi and Panaretos, John and Psarakis, Stelios (2008): A New Procedure to Monitor the Mean of a Quality Characteristic. Forthcoming in: Communications in Statistics B, (Simulation and Computation)

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Abstract
The Shewhart, Bonferroniadjustment 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 noncentral 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.
Item Type:  MPRA Paper 

Original Title:  A New Procedure to Monitor the Mean of a Quality Characteristic 
Language:  English 
Keywords:  Shewhart, Bonferroniadjustment, Analysis of means, Average run length, False alarm probability 
Subjects:  C  Mathematical and Quantitative Methods > C1  Econometric and Statistical Methods and Methodology: General > C10  General 
Item ID:  9066 
Depositing User:  J Panaretos 
Date Deposited:  11. Jun 2008 07:23 
Last Modified:  11. Feb 2013 20:02 
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URI:  http://mpra.ub.unimuenchen.de/id/eprint/9066 