Upper and Lower Control Limits for Monitoring Markoff’s Model and Non-Normal Variation with Known CV

Bhayare Unnati¹ , Singh Jais Raj²

1. School of Studies in Statistics, Vikram University, Ujjain, India.
2. School of Studies in Statistics, Vikram University, Ujjain, India.

Correspondence should be addressed to: unnati.b80@gmail.com .

Section:Research Paper, Product Type: Isroset-Journal
Vol.4 , Issue.6 , pp.35-42, Dec-2017

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v4i6.3542

Online published on Dec 31, 2017

Copyright © Bhayare Unnati, Singh Jais Raj . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
Control charts are essential tools for quality monitoring and construction of this charts were based on the assumption that observations were independent and normally distributed. The assumption of independence of quality characteristic is questionable, as autocorrelation among the observations becomes an inherent characteristic in quality control data. This phenomenon of inherent autocorrelation can cause significant deterioration of control charting performance. Autocorrelation had a substantial and detrimental effect on the statistical properties of control charts. The setting of control limits to utilize on a control chart assumes the assumption of normality. However, in many situation the condition does not hold. The objective of this paper is to investigate the upper and lower control limit properties of the control charts when the Markoff`s model and non-normality exists in the process.

Key-Words / Index Term :
Mean chart, Autocorrelation, Non-Normality, Markoff’s Model, Coefficient of Variation

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