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QICID: 21248

Title: Statistics Roundtable: Detecting Dependent Observations in Multivariate Statistical Process Control

Copyright: ASQ
Author: Mason, Robert L., Young, John C.
Organization:
Subject: multivariate process, control charts, data dependencies, time-sequence plots, testing univariate analysis, autocorrelation, Estimation of Variation;
Series: Quality Progress, Vol. 40, No. 9, September 2007, pp. 56-58

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Abstract: Since we must consider many variables at the same time when monitoring a multivariate process, detection of data dependencies between and among the observation vectors is not straightforward. The test procedures that exist for checking for the nonrandomness of the observation vectors are more complicated than those used with the corresponding univariate procedures and require knowledge of multivariate analysis. The best approach for checking for data dependencies is software on multivariate procedures that will perform the necessary computations. If you lack such tools, we recommend, at a minimum, you apply the graphic methods of univariate analysis (for example, time-sequence plots) to the individual variables of the multivariate observation vector to detect the various forms of autocorrelation that denote data dependencies. This simple visual approach should be of great value to you.

Number of pages: 3
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