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A Practical Approach for Interpreting Multivariate T2 Control Chart Signals

Summary: A persistent problem in multivariate control chart procedures is the interpretation of a signal. Determining which variable or group of variables is contributing to the signal can be a difficult task fo rthe practitioner. However, a procedure for decomposing the T2 statistic into orthogonal components greatly aids the interpretation effort. In this paper, a series of examples illustrates the usefulness of this interpretation scheme and relates it to the familiar concept of a statistical distance measure. The relationship between the T2 decomposition procedure and a regression of one variable on a subset of other variables is also demonstrated, and used to aid signal interpretation. Recommendations are made and steps are suggested to provide a faster sequential computation for the decomposition.

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  • Topics:
  • Keywords: Hotelling's T2 statistic,Multivariate control charts,Multiple regression
  • Author: Mason, Robert L.; Tracy, Nola D.; Young, John C.
  • Journal: Journal of Quality Technology