Monitoring process mean level using auxiliary information

Muhammad Riaz

Statistica Neerlandica, 2008, vol. 62, issue 4, 458-481

Abstract: In this study, a Shewhart‐type control chart is proposed for the improved monitoring of process mean level (targeting both moderate and large shifts which is the major concern of Shewhart‐type control charts) of a quality characteristic of interest Y. The proposed control chart, namely the Mr chart, is based on the regression estimator of mean using a single auxiliary variable X. Assuming bivariate normality of (Y, X), the design structure of Mr chart is developed for phase I quality control. The comparison of the proposed chart is made with some existing control charts used for the same purpose. Using power curves as a performance measure, better performance of the proposedMr chart is observed for detecting the shifts in mean level of the characteristic of interest.

Date: 2008
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