Control Charts and the Effect of the Two-Component Measurement Error Model

Cocchi, Daniela ; Scagliarini, Michele (2007) Control Charts and the Effect of the Two-Component Measurement Error Model. Bologna, IT: Dipartimento di Scienze Statistiche "Paolo Fortunati", Alma Mater Studiorum Università di Bologna, p. 24. DOI 10.6092/unibo/amsacta/2312. In: Quaderni di Dipartimento. Serie Ricerche ISSN 1973-9346.
Full text available as:
[thumbnail of Quaderni_Ricerche_2007_ControlCharts.pdf]
Download (241kB) | Preview


Monitoring algorithms, such as the Shewhart and Cusum control charts, are often used for monitoring purposes in the chemical industry or within an environmental context. The statistical properties of these algorithms are known to be highly responsive to measurement errors. Recent studies have underlined the important role played by the twocomponent measurement error model in chemical and environmental monitoring. In the present work, we study the effects of the twocomponent error model on the performance of the X and S Shewhart control charts. Results reveal that gauge imprecision may seriously alter the statistical properties of the control charts. We propose how to reduce the effects of measurement errors, and illustrate how to take errors into account in the design of monitoring algorithms.

Document type
Monograph (Working Paper)
Cocchi, Daniela
Scagliarini, Michele
Average run length, calibration curve, constant measurement error, Monte Carlo study, proportional measurement error, repeated measurements, Shewhart control charts
Deposit date
22 Feb 2007
Last modified
16 May 2011 12:05

Other metadata

This work may be freely consulted and used, may be reproduced on a permanent basis in a digital format (i.e. saving) and can be printed on paper with own personal equipment (without availing of third -parties services), for strictly and exclusively personal, research or teaching purposes, with express exclusion of any direct or indirect commercial use, unless otherwise expressly agreed between the user and the author or the right holder. It is also allowed, for the same purposes mentioned above, the retransmission via telecommunication network, the distribution or sending in any form of the work, including the personal redirection (e-mail), provided it is always clearly indicated the complete link to the page of the Alma DL Site in which the work is displayed. All other rights are reserved.



Staff only: View the document