A NEW VARIABLES CONTROL CHART FOR SIMULTANEOUSLY MONITORING MULTIVARIATE PROCESS MEAN AND VARIABILITY

In this paper, we propose a new variables control chart, called the box-chart, to simultaneously monitor, on a single chart, the process mean and process variability for multivariate processes. The box-chart uses a probability integral transformation to obtain two independently and identically distr...

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Bibliographic Details
Published in:International journal of reliability, quality, and safety engineering quality, and safety engineering, 2002-03, Vol.9 (1), p.41-59
Main Authors: YEH, ARTHUR B., LIN, DENNIS K. J.
Format: Article
Language:English
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Summary:In this paper, we propose a new variables control chart, called the box-chart, to simultaneously monitor, on a single chart, the process mean and process variability for multivariate processes. The box-chart uses a probability integral transformation to obtain two independently and identically distributed uniform distributions. Therefore, a box-shaped (thus the name), two-dimensional control chart can be constructed. We discuss in detail on how to construct the box-chart. The proposed chart is applied to two real-life examples. The performance of the box-chart is also compared to that of the traditional T2- and |S|-charts.
ISSN:0218-5393
1793-6446
DOI:10.1142/S0218539302000652