A multivariate p-chart‎ ‎with a suggestion for measurement error correction

Document Type : Original Scientific Paper

Authors

1 Department of Statistics‎, ‎Payame Noor University‎, ‎Tehran‎, ‎Iran

2 Department of Statistics‎, ‎Yazd University‎, ‎Yazd‎, ‎Iran

Abstract

This study aims to introduce a new multivariate ‎‎p‎-chart using a structure of the multivariate Bernoulli distribution‎. ‎In this structure‎, ‎we consider a class of dependent Bernoulli variables where the conditional success probability is a linear combination of the last few trials and the original success probability‎. ‎The efficiency of the proposed control chart is investigated in terms of the average run length criterion with two approaches‎. ‎Also‎, ‎the issue of misclassification and measurement error in binary random variables is discussed, and ‎another control chart based on the corrected ‎proportion of non-conforming products is proposed‎.

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