A multivariate synthetic double sampling T2 control chart

Michael B.C. Khoo, Zhang Wu, Philippe Castagliola, H. C. Lee

Research output: Contribution to journalArticleResearchpeer-review

33 Citations (Scopus)


In this article, we propose a multivariate synthetic double sampling T 2 chart to monitor the mean vector of a multivariate process. The proposed chart combines the double sampling (DS) T2 chart and the conforming run length (CRL) chart. On the whole, the proposed chart performs better than its standard counterparts, namely, the Hotelling's T2, DS T2, and synthetic T2 charts, in terms of the average run length (ARL) and average number of observations to sample (ANOS). The proposed chart also outperforms the multivariate exponentially weighted moving average (MEWMA) chart for moderate and large shifts but the latter is more sensitive than the former towards small shifts. For a variable sample size chart, like the synthetic DS T2 chart, ANOS is a more meaningful performance measure than ARL. ANOS relates to the actual number of observations sampled but ARL merely deals with the number of sampling stages taken. Interpretation based on ARL is more complicated as either n1 or n1 + n2 observations are taken in each sampling stage.

Original languageEnglish
Pages (from-to)179-189
Number of pages11
JournalComputers and Industrial Engineering
Issue number1
Publication statusPublished - 2013
Externally publishedYes


  • Conforming run length
  • Multivariate EWMA chart

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