A study of the run length distribution of the run sum Xbar chart

J.K. Chong; Wei Lin Teoh; Wai Chung Yeong; M.B.C. Khoo; S.Y. Teh

A study of the run length distribution of the run sum Xbar chart

J.K. Chong, Wei Lin Teoh, Wai Chung Yeong, M.B.C. Khoo, S.Y. Teh

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

It is well known that the design of the run sum Xbar chart is traditionally based on the average run length (ARL) criterion. However, the shape of the run length distribution changes according to the process mean shift, from highly-right skewed when the mean shift is small or in-control to almost symmetric when the mean shift is large. Therefore, interpretations based on ARL alone can be misleading. Indisputably, it is important for us to investigate the entire run length distribution of a control chart; thus, an in-depth understanding of the control chart will be obtained before implementing the chart in process monitoring. In this paper, we examine the percentiles of the run length distribution for the run sum Xbar chart. Knowledge of the percentiles of the run length distribution
will provide practitioners with a complete understanding of the shape, skewness and behaviour of the chart.

Original language	English
Title of host publication	Proceedings of the International Conference on Business, Accounting, Finance, and Economics
Pages	625-634
Publication status	Published - Oct 2015

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2015 (625-634)

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@inproceedings{6a6a6c90e456440e9bf87400a61fc69a,

title = "A study of the run length distribution of the run sum Xbar chart",

abstract = "It is well known that the design of the run sum Xbar chart is traditionally based on the average run length (ARL) criterion. However, the shape of the run length distribution changes according to the process mean shift, from highly-right skewed when the mean shift is small or in-control to almost symmetric when the mean shift is large. Therefore, interpretations based on ARL alone can be misleading. Indisputably, it is important for us to investigate the entire run length distribution of a control chart; thus, an in-depth understanding of the control chart will be obtained before implementing the chart in process monitoring. In this paper, we examine the percentiles of the run length distribution for the run sum Xbar chart. Knowledge of the percentiles of the run length distributionwill provide practitioners with a complete understanding of the shape, skewness and behaviour of the chart.",

author = "J.K. Chong and Teoh, {Wei Lin} and Yeong, {Wai Chung} and M.B.C. Khoo and S.Y. Teh",

year = "2015",

month = oct,

language = "English",

pages = "625--634",

booktitle = "Proceedings of the International Conference on Business, Accounting, Finance, and Economics",

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TY - GEN

T1 - A study of the run length distribution of the run sum Xbar chart

AU - Chong, J.K.

AU - Teoh, Wei Lin

AU - Yeong, Wai Chung

AU - Khoo, M.B.C.

AU - Teh, S.Y.

PY - 2015/10

Y1 - 2015/10

N2 - It is well known that the design of the run sum Xbar chart is traditionally based on the average run length (ARL) criterion. However, the shape of the run length distribution changes according to the process mean shift, from highly-right skewed when the mean shift is small or in-control to almost symmetric when the mean shift is large. Therefore, interpretations based on ARL alone can be misleading. Indisputably, it is important for us to investigate the entire run length distribution of a control chart; thus, an in-depth understanding of the control chart will be obtained before implementing the chart in process monitoring. In this paper, we examine the percentiles of the run length distribution for the run sum Xbar chart. Knowledge of the percentiles of the run length distributionwill provide practitioners with a complete understanding of the shape, skewness and behaviour of the chart.

AB - It is well known that the design of the run sum Xbar chart is traditionally based on the average run length (ARL) criterion. However, the shape of the run length distribution changes according to the process mean shift, from highly-right skewed when the mean shift is small or in-control to almost symmetric when the mean shift is large. Therefore, interpretations based on ARL alone can be misleading. Indisputably, it is important for us to investigate the entire run length distribution of a control chart; thus, an in-depth understanding of the control chart will be obtained before implementing the chart in process monitoring. In this paper, we examine the percentiles of the run length distribution for the run sum Xbar chart. Knowledge of the percentiles of the run length distributionwill provide practitioners with a complete understanding of the shape, skewness and behaviour of the chart.

M3 - Conference contribution

SP - 625

EP - 634

BT - Proceedings of the International Conference on Business, Accounting, Finance, and Economics

ER -

A study of the run length distribution of the run sum Xbar chart

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