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Author(s): Peter Madzík, Pavol Križo

Title: The Effect of Non-Normal Distributions on the Control Limits of X-Bar Chart

Source: International Scientific Days 2018 :: Towards Productive, Sustainable and Resilient Global Agriculture and Food Systems :: Proceedings

ISBN: 978-80-7598-180-6


Publisher: Wolters Kluwer ČR, Prague

PY, pages: 2018, 851-862

Published on-line: 2018-11-09

Language: eng

Abstract: Shewhart control charts are often used by industry organizations for quality control. The most common diagram used is the X-bar chart, which monitors the progress of the mean of parameter over time. For the use of control charts, practitioners a priori assume that the data has a normal distribution. The normality of data can be verified by various tests, but in practice, such verification is often circumvented. If the data does not have a normal distribution, it will of course also affect the values of the control limits. This article aims to investigate the effect of selected types of distributions on the resulting control limits in X-bar charts. The most common types of continuous distributions are analyzed and random data is used. The results point to the robustness of the control limits for some types of distributions and also to varying impact on varying sub-group ranges and varying sample sizes.

Keywords: X-bar control charts, Contol Limits, Normality, Non-normality, Distributions

JEL Classification: L15, C15, C18, C46

Rights:Open Access :: Creative Commons BY-NC-SA 4.0 International Licence
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Toto dielo je publikované pod/This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International Licence.