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  • Rauber_etal_2022

    Rights statement: This is the peer reviewed version of the following article: Rauber, C, Lima-Filho, LA, Bayer, Fábio~M. Residual-based CUSUM beta regression control chart for monitoring double-bounded processes. Qual Reliab Eng Int. 2022; 1– 18. https://doi.org/10.1002/qre.3140 which has been published in final form at https://onlinelibrary.wiley.com/doi/10.1002/qre.3140 This article may be used for non-commercial purposes in accordance With Wiley Terms and Conditions for self-archiving.

    Accepted author manuscript, 526 KB, PDF document

    Embargo ends: 7/05/23

    Available under license: CC BY-NC: Creative Commons Attribution-NonCommercial 4.0 International License

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Residual‐based CUSUM beta regression control chart for monitoring double‐bounded processes

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<mark>Journal publication date</mark>31/10/2022
<mark>Journal</mark>Quality and Reliability Engineering International
Issue number6
Volume38
Number of pages18
Pages (from-to)3252-3269
Publication StatusPublished
Early online date27/05/22
<mark>Original language</mark>English

Abstract

This paper proposes a control chart useful for detecting small shifts in the mean of a double-bounded process, such as fractions and proportions, in the presence of control variables. For this purpose, we consider the cumulative sum (CUSUM) control chart applied to different residuals of the beta regression model. We conduct an extensive Monte Carlo simulation study to evaluate and compare the performance of the proposed control chart with two other control charts in the literature in terms of run length analysis. The numerical results show that the proposed control chart is more sensitive to detect changes in the process than its competitors and that the quantile residual is the most suitable residual to be used in our proposal. Finally, based on the quantile residual, we present and discuss applications to real and simulated data to show the applicability of the proposed control chart.

Bibliographic note

This is the peer reviewed version of the following article: Rauber, C, Lima-Filho, LA, Bayer, Fábio~M. Residual-based CUSUM beta regression control chart for monitoring double-bounded processes. Qual Reliab Eng Int. 2022; 1– 18. https://doi.org/10.1002/qre.3140 which has been published in final form at https://onlinelibrary.wiley.com/doi/10.1002/qre.3140 This article may be used for non-commercial purposes in accordance With Wiley Terms and Conditions for self-archiving.