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http://dx.doi.org/10.7465/jkdi.2012.23.5.1037

Multivariate control charts for monitoring correlation coefficients in dispersion matrix  

Chang, Duk-Joon (Department of Statistics, Changwon National University)
Heo, Sun-Yeong (Department of Statistics, Changwon National University)
Publication Information
Journal of the Korean Data and Information Science Society / v.23, no.5, 2012 , pp. 1037-1044 More about this Journal
Abstract
Multivariate control charts for effectively monitoring every component in the dispersion matrix of multivariate normal process are considered. Through the numerical results, we noticed that the multivariate control charts based on sample statistic $V_i$ by Hotelling or $W_i$ by Alt do not work effectively when the correlation coefficient components in dispersion matrix are increased. We propose a combined procedure monitoring every component of dispersion matrix, which operates simultaneously both control charts, a chart controlling variance components and a chart controlling correlation coefficients. Our numerical results show that the proposed combined procedure is efficient for detecting changes in both variances and correlation coefficients of dispersion matrix.
Keywords
Average run length; false alarm rate; likelihood ratio test statistic; Markov chain approach;
Citations & Related Records
Times Cited By KSCI : 3  (Citation Analysis)
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