A new variables control chart for simultaneously monitoring multivariate process mean and variability

Arthur B. Yeh; Dennis K.J. Lin

doi:10.1142/S0218539302000652

A new variables control chart for simultaneously monitoring multivariate process mean and variability

Arthur B. Yeh, Dennis K.J. Lin

Statistics

Research output: Contribution to journal › Article › peer-review

28 Scopus citations

Abstract

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 T ² - and |S|-charts.

Original language	English (US)
Pages (from-to)	41-59
Number of pages	19
Journal	International Journal of Reliability, Quality and Safety Engineering
Volume	9
Issue number	1
DOIs	https://doi.org/10.1142/S0218539302000652
State	Published - Mar 2002

All Science Journal Classification (ASJC) codes

General Computer Science
Nuclear Energy and Engineering
Safety, Risk, Reliability and Quality
Aerospace Engineering
Energy Engineering and Power Technology
Industrial and Manufacturing Engineering
Electrical and Electronic Engineering

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10.1142/S0218539302000652

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title = "A new variables control chart for simultaneously monitoring multivariate process mean and variability",

abstract = "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 T 2 - and |S|-charts.",

author = "Yeh, {Arthur B.} and Lin, {Dennis K.J.}",

note = "Funding Information: We thank two referees for numerous suggestions which improve the presentation of the paper. Dennis Lin is partially supported by the National Science Foundation via Grant DMS-9704711 and the National Science Council of ROC via Contract NSC 87-2119-M-001-007.",

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A new variables control chart for simultaneously monitoring multivariate process mean and variability

Abstract

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