Monitoring process mean level using auxiliary information |
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Authors: | Muhammad Riaz |
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Affiliation: | Department of Statistics, Quaid‐i‐Azam University, Islamabad, Pakistan |
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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. |
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Keywords: | control charts power curves simulations chart M
r
chart regression‐adjusted charts cause‐selecting charts normality auxiliary information |
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