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.
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Final published version
Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
}
TY - JOUR
T1 - Residual‐based CUSUM beta regression control chart for monitoring double‐bounded processes
AU - Rauber, Cristine
AU - Lima‐Filho, Luiz M. A.
AU - Bayer, Fábio M.
N1 - 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.
PY - 2022/10/31
Y1 - 2022/10/31
N2 - 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.
AB - 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.
KW - Management Science and Operations Research
KW - Safety, Risk, Reliability and Quality
U2 - 10.1002/qre.3140
DO - 10.1002/qre.3140
M3 - Journal article
VL - 38
SP - 3252
EP - 3269
JO - Quality and Reliability Engineering International
JF - Quality and Reliability Engineering International
SN - 0748-8017
IS - 6
ER -