On the performance of coefficient of variation charts in the presence of measurement errors

Kim Phuc Tran · Cédric Heuchenne · N. Balakrishnan

32 citations0/0 files storedQuality and Reliability Engineering International

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Advanced Statistical Process Monitoring Fault Detection and Control Systems Management Systems and Quality Improvement

Abstract

Abstract In the literature, coefficient of variation control charts have been introduced under the assumption of no measurement errors. However, measurement errors always exist in practice, and they do affect the performance of control charts in the detection of an out‐of‐control situation. In this paper, we therefore study the performance of a coefficient of variation Shewhart‐type control chart (Shewhart‐CV chart) and also one‐sided coefficient of variation exponentially weighted moving average–type control charts (EWMA‐γ2charts) using a model with linear covariates. Moreover, we propose and study the performance of a two‐sided EWMA‐γ2chart using a model with linear covariates. Several figures and tables are provided and analyzed to evaluate the statistical performance of these control charts for different sources of measurement errors. The obtained results show that theprecisionandaccuracyerrors significantly affect the performance of both the Shewhart‐CV and EWMA‐γ2control charts. An example illustrating the use of this study is finally presented.

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References

1972An Approach to the Probability Distribution of Cusum Run Length 2011Monitoring the Coefficient of Variation Using EWMA Charts 2007A Control Chart for the Coefficient of Variation 2001Effect of Measurement Error on Shewhart Control Charts 2011A synthetic control chart for the coefficient of variation 2015Monitoring the coefficient of variation using a variable sample size control chart in short production runs 2012Monitoring the Coefficient of Variation Using a Variable Sampling Interval Control Chart 2010Effect of measurement error and autocorrelation on theX¯chart

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2020On the effect of the measurement error on Shewhart t and EWMA t control charts 2019A Synthetic median control chart for monitoring the process mean with measurement errors 2019On the performance of CUSUM control charts for monitoring the coefficient of variation with measurement errors 2020Effect of Measurement Errors on the Performance of Coefficient of Variation Chart With Short Production Runs 2020A combined mixed- s -skip sampling strategy to reduce the effect of autocorrelation on the X scheme with and without measurement errors

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