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Proposed X and S control charts for skewed distributions


Khoo, M. B. C. and Atta, Abdu Mohammed Ali and Chen, C-H. (2009) Proposed X and S control charts for skewed distributions. In: IEEE International Conference on Industrial Engineering and Engineering Management ( IEEM 2009), 8-11 Dec. 2009, Hong Kong.

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Abstract

This paper proposes a weighted variance method to compute the limits of the X and S charts for skewed distributions.The proposed charts extend the weighted variance X and R charts in by enabling a process from a skewed distribution with moderate and large sample sizes to be monitored efficiently, hence producing more favourable Type-I and Type-II error rates than the charts in.Note that the charts in are only intended to be used for small sample sizes. The Type-I and Type-II error rates computed show that the proposed charts outperform the existing heuristic charts, as well as those in for moderate and large sample sizes, involving cases with known and unknown parameters, when the distribution of a process is skewed.

Item Type: Conference or Workshop Item (Paper)
Additional Information: Print ISBN: 978-1-4244-4869-2
Uncontrolled Keywords: X chart, S chart, weighted variance,weighted standard deviation, skewness correction
Subjects: Q Science > QA Mathematics > QA76 Computer software
Divisions: College of Arts and Sciences
Depositing User: Dr. Abdu Mohammed Ali Atta
Date Deposited: 17 Dec 2014 03:35
Last Modified: 17 Dec 2014 03:35
URI: http://repo.uum.edu.my/id/eprint/12802

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