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Effect of Measurement Error on the Multivariate CUsum Control Chart for Compositional Data

Computer Modeling in Engineering & Sciences 2023年第8期136卷 1207-1257页

作者： Muhammad Imran Jinsheng Sun Fatima sehar Zaidi Zameer Abbas Hafiz Zafar Nazir School of Automation Nanjing University of Science and TechnologyNanjing210094China School of Economics and Statistics Guangzhou UniversityGuangzhou510006China Department of Mathematics and Statistics East China Normal UniversityShanghai200062China Department of Statistics Government Ambala Muslim Graduate CollegeSargodha40100Pakistan Department of Statistics University of SargodhaSargodha40100Pakistan

Control charts(CCs)are one of the main tools in Statistical Process Control that have been widely adopted in manufacturing sectors as an effective strategy for malfunction detection throughout the previous *** errors(M.E’s)are involved in the quality characteristic of interest,which can effect the CC’s *** authors explored the impact of a linearmodel with additive covariate M.E on the multivariate cumulative sum(CUsum)CC for a specific kind of data known as compositional data(CoDa).The average run length(ARL)is used to assess the performance of the proposed *** results indicate that M.E’s significantly affects themultivariate *** authors haveused theMarkov chainmethod to study the impact of different involved parameters using six different cases for the variance-covariance matrix(VCM)(i.e.,uncorrelated with equal variances,uncorrelated with unequal variances,positively correlated with equal variances,positively correlated with unequal variances,negatively correlatedwith equal variances and negatively correlated with unequal variances).The authors concluded that the error VCM has a negative impact on the performance of themultivariate CUsum-CoDa CC,as the ARL increases with an increase in the value of the error *** subgroup size m and powering operator b positively impact the proposed CC,as the ARL decreases with an increase in m or *** number of variables p also has a negative impact on the performance of the proposed CC,as the values of ARL increase with an increase in *** the implementation of the proposal,two illustrated examples have been reported formultivariate CUsum-CoDaCCs inthe presence ofM.E’*** themanufacturingprocessof uncoated aspirin tablets,and the other is based on monitoring the machines involved in the muesli manufacturing process.

关键词： MCUsum chart CoDa measurement error manufacturing process performance

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