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

Rauber, Cristine and Lima‐Filho, Luiz M. A. and Bayer, Fábio M. (2022) Residual‐based CUSUM beta regression control chart for monitoring double‐bounded processes. Quality and Reliability Engineering International, 38 (6). pp. 3252-3269. ISSN 0748-8017

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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.

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Journal Article
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Quality and Reliability Engineering International
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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. which has been published in final form at This article may be used for non-commercial purposes in accordance With Wiley Terms and Conditions for self-archiving.
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09 Jun 2022 16:10
Last Modified:
22 Nov 2022 11:30