Example of T²-Generalized Variance Chart

A quality engineer wants to monitor the variability in the tear strength, glossiness, and opacity of plastic sheets that her company manufactures. She measures four sheets a day for 10 days. Previous analyses have found that these variables are correlated.

The quality engineer creates a T2-Generalized Variance chart to simultaneously monitor the mean and variation of tear strength, glossiness, and opacity of the plastic sheets over 10 days.

  1. Open the sample data, PlasticSheets.MTW.
  2. Choose Stat > Control Charts > Multivariate Charts > T<sup>2</sup>-Generalized Variance.
  3. In Variables, enter Tear Gloss Opacity.
  4. In Subgroup sizes, enter Subgroup.
  5. Click OK.

Interpret the results

The quality engineer looks at the Generalized Variance chart first. If the Generalized Variance chart shows that the process variation is not in control, then the control limits on the T2 chart are inaccurate.

The joint variation of the tear strength, glossiness, and opacity is above the upper control limit at point 6. The engineer should investigate why the variation is not in control and correct the issues before interpreting the T2 chart.

T²-Generalized Variance Chart of Tear, ..., Opacity

Test Results for Generalized Variance Chart of Tear, ..., Opacity

TEST. One point beyond control limits. Test Failed at points: 6 * WARNING * If graph is updated with new data, the results above may no longer be correct.
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